2024-03-29T14:43:51Zhttps://vtechworks.lib.vt.edu/server/oai/requestoai:vtechworks.lib.vt.edu:10919/470242023-04-14T12:27:06Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Klaus, Martin
department
Mathematics
2014-04-09T18:12:15Z
2014-04-09T18:12:15Z
1991-01
Klaus, M., "Asymptotic-behavior of Jost functions near resonance points for Wigner-Vonneumann type potentials," J. Math. Phys. 32, 163 (1991); http://dx.doi.org/10.1063/1.529140
0022-2488
http://hdl.handle.net/10919/47024
http://scitation.aip.org/content/aip/journal/jmp/32/1/10.1063/1.529140
https://doi.org/10.1063/1.529140
In this work are considered radial Schrodinger operators - psi" + V(r)-psi = E-psi, where V(r) = a sin br/r + W(r) with W(r) bounded, W(r) = O(r-2) at infinity (a,b real). The asymptotic behavior of the Jost function and the scattering matrix near the resonance point E(o) = b2/4 are studied. If \a\ > \b\, then this point may be an eigenvalue embedded in the continuous spectrum. The leading behavior of the Jost function for all values of a and b were determined. Somewhat surprisingly, situations were found where the Jost function becomes singular as E-->E(o) even if E(o) is an embedded eigenvalue. Moreover, it is found that the scattering matrix is always discontinuous at E(o) except in a few special cases. It is also shown that the asymptotics for the Jost function and the scattering matrix hold under weaker assumptions on W(r), in particular an angular momentum term l(l + 1)r-2 may be incorporated into W(r). The results are also applied to a whole line problem with a potential V(x) such that V(x) = 0 for x < 0 and V(x) of Wigner-von Neumann type for x > 0, and the behavior of the transmission and reflection coefficients as E-->E(o) is also studied.
en_US
In Copyright
eigenvalues
angular momentum
real functions
reflection coefficient
Asymptotic-behavior of Jost functions near resonance points for Wigner-Vonneumann type potentials
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/bcd1c901-3dfe-4462-868f-201c38d23da2/download
File
MD5
bee938adbec643beb77b4d27634bae7e
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application/pdf
1.529140.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/bdbdb5dd-97e4-498e-9854-8333ef904839/download
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1.529140.pdf.txt
oai:vtechworks.lib.vt.edu:10919/481412020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Kim, J. U.
department
Mathematics
2014-05-28T18:35:03Z
2014-05-28T18:35:03Z
1998-09
Kim, J. U., "On a wave equation with a boundary condition associated with capillary waves," SIAM J. Math. Anal., 30(1), 53-71, (1998). DOI: 10.1137/s003614109732821x
0036-1410
http://hdl.handle.net/10919/48141
http://epubs.siam.org/doi/abs/10.1137/S003614109732821X
https://doi.org/10.1137/s003614109732821x
This paper discusses an initial-boundary value problem for a wave equation with a nonstandard boundary condition associated with linear capillary waves on the surface of a compressible liquid. We prove the well-posedness of this problem. Our main technical device is the Fourier transform.
en_US
In Copyright
wave equation
initial-boundary value problem
capillary waves
mathematics, applied
On a wave equation with a boundary condition associated with capillary waves
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/9e491db7-421e-46ac-9f2a-3ef0648374b1/download
File
MD5
c05e1c269c8e4f50797cff8dafeadeec
377060
application/pdf
s003614109732821x.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/d390c832-1cd2-4b3f-be72-2f694f37c5f6/download
File
MD5
2b12961af61390496ff4a3d7a8755fde
42490
text/plain
s003614109732821x.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1181142024-02-22T17:00:22Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Erlandson, Lucas
author
Atkins, Zachary
author
Fox, Alyson
author
Vogl, Christopher
author
Miedlar, Agnieszka
author
Ponce, Colin
2024-02-22T18:56:32Z
2024-02-22T18:56:32Z
2023-09-26
2300-5963
https://hdl.handle.net/10919/118114
https://doi.org/10.15439/2023f8932
Miedlar, Agnieszka [0000-0002-2995-7426]
Solving systems of linear equations is a critical component of nearly all scientific computing methods. Traditional algorithms that rely on synchronization become prohibitively expensive in computing paradigms where communication is costly, such as heterogeneous hardware, edge computing, and unreliable environments. In this paper, we introduce an s-step Approximate Conjugate Directions (s-ACD) method and develop resiliency measures that can address a variety of different data error scenarios. This method leverages a Conjugate Gradient (CG) approach locally while using Conjugate Directions (CD) globally to achieve asynchronicity. We demonstrate with numerical experiments that s-ACD admits scaling with respect to the condition number that is comparable with CG on the tested 2D Poisson problem. Furthermore, through the addition of resiliency measures, our method is able to cope with data errors, allowing it to be used effectively in unreliable environments.
en
Public Domain (U.S.)
Resilient s-ACD for Asynchronous Collaborative Solutions of Systems of Linear Equations
Conference proceeding
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
URL
https://vtechworks.lib.vt.edu/bitstreams/0ea56dc6-9011-4676-aeea-b8299bf85af8/download
File
MD5
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Resilient_s-ACD_for_Asynchronous_Collaborative_Solutions_of_Systems_of_Linear_Equations.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/99060e0b-2766-4b16-83fb-9ed2accb70b1/download
File
MD5
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Resilient_s-ACD_for_Asynchronous_Collaborative_Solutions_of_Systems_of_Linear_Equations.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1128532022-12-13T08:14:54Zcom_10919_8195com_10919_25799com_10919_24210com_10919_5553com_10919_24213col_10919_18629col_10919_24285col_10919_24334
VTechWorks
author
Wu, Xiaowei
author
Liu, Shicheng
author
Liang, Guanying
2022-12-12T15:37:12Z
2022-12-12T15:37:12Z
2022-12-09
BMC Bioinformatics. 2022 Dec 09;23(1):535
http://hdl.handle.net/10919/112853
https://doi.org/10.1186/s12859-022-05090-2
Background
Rapidly growing genome-wide ChIP-seq data have provided unprecedented opportunities to explore transcription factor (TF) binding under various cellular conditions. Despite the rich resources, development of analytical methods for studying the interaction among TFs in gene regulation still lags behind.
Results
In order to address cooperative TF binding and detect TF clusters with coordinative functions, we have developed novel computational methods based on clustering the sample paths of nonhomogeneous Poisson processes. Simulation studies demonstrated the capability of these methods to accurately detect TF clusters and uncover the hierarchy of TF interactions. A further application to the multiple-TF ChIP-seq data in mouse embryonic stem cellsĀ (ESCs) showed that our methods identified the cluster of core ESC regulators reported in the literature and provided new insights on functional implications of transcrisptional regulatory modules.
Conclusions
Effective analytical tools are essential for studying protein-DNA relations. Information derived from this research will help us better understand the orchestration of transcription factors in gene regulation processes.
en
Creative Commons Attribution 4.0 International
Detecting clusters of transcription factors based on a nonhomogeneous poisson process model
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/6dd5dd1e-b165-4945-a6e0-93983cf066ea/download
File
MD5
7b15dbb58334c3e3c38554b5a0ecc4b7
1924194
application/pdf
12859_2022_Article_5090.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/468ae0c6-8b67-4ca9-8125-311cc2c72888/download
File
MD5
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text/plain
12859_2022_Article_5090.pdf.txt
oai:vtechworks.lib.vt.edu:10919/251212020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Klaus, Martin
author
Mityagin, Boris
department
Mathematics
2014-01-23T13:49:08Z
2014-01-23T13:49:08Z
2007-12
Klaus, Martin; Mityagin, Boris, "Coupling constant behavior of eigenvalues of Zakharov-Shabat systems," J. Math. Phys. 48, 123502 (2007); http://dx.doi.org/10.1063/1.2815810
0022-2488
http://hdl.handle.net/10919/25121
http://scitation.aip.org/content/aip/journal/jmp/48/12/10.1063/1.2815810
https://doi.org/10.1063/1.2815810
We consider the eigenvalues of the non-self-adjoint Zakharov-Shabat systems as the coupling constant of the potential is varied. In particular, we are interested in eigenvalue collisions and eigenvalue trajectories in the complex plane. We identify shape features in the potential that are responsible for the occurrence of collisions and we prove asymptotic formulas for large coupling constants that tell us where eigenvalues collide or where they emerge from the continuous spectrum. Some examples are provided which show that the asymptotic methods yield results that compare well with exact numerical computations. (c) 2007 American Institute of Physics.
en_US
In Copyright
Coupling constant behavior of eigenvalues of Zakharov-Shabat systems
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/820e413c-5516-4005-9840-50352cf3e868/download
File
MD5
74e545eb766c4c63720b740d594d65a3
744134
application/pdf
1.2815810.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/7e28d1e9-b9ce-455f-94cb-213fd25ee5e9/download
File
MD5
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127057
text/plain
1.2815810.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1184572024-03-27T17:00:31Zcom_10919_8195com_10919_25799com_10919_24210com_10919_5553col_10919_78882col_10919_24285
VTechWorks
author
Rasmussen, Chris
author
Wawro, Megan
author
Zandieh, Michelle
2024-03-27T18:22:50Z
2024-03-27T18:22:50Z
2024-03-21
Rasmussen, C.; Wawro, M.; Zandieh, M. An Integrated Methodological Approach for Documenting Individual and Collective Mathematical Progress: Reinventing the Euler Method Algorithmic Tool. Educ. Sci. 2024, 14, 335.
https://hdl.handle.net/10919/118457
https://doi.org/10.3390/educsci14030335
In this paper we advance a methodological approach for documenting the mathematical progress of learners as an integrated analysis of individual and collective activity. Our approach is grounded in and expands the emergent perspective by integrating four analytic constructs: individual meanings, individual participation, collective mathematical practices, and collective disciplinary practices. Using video data of one small group of four students in an inquiry-oriented differential equations classroom, we analyze a 10 min segment in which one small group reinvent Euler’s method, an algorithmic tool for approximating solutions to differential equations. A central intellectual contribution of this work is elaborating and coordinating the four methodological constructs with greater integration, cohesiveness, and coherence.
en
Creative Commons Attribution 4.0 International
An Integrated Methodological Approach for Documenting Individual and Collective Mathematical Progress: Reinventing the Euler Method Algorithmic Tool
Article - Refereed
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
URL
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education-14-00335.pdf
URL
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education-14-00335.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1175022024-03-14T13:39:39Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Bertero, S.
author
Gugercin, Serkan
author
Sarlo, R.
2024-01-22T13:55:47Z
2024-01-22T13:55:47Z
2023-01-01
9786289520743
https://hdl.handle.net/10919/117502
2023-July
Sarlo, Rodrigo [0000-0003-2877-9506]
2414-6390
Be it due to time constraints or insufficient processing power - or a combination of both - the use of models with large numbers of degrees of freedom (DoF) may be unsuitable to provide a client with results in a timely manner. The use of physics-based reduced models - or proxy structures - are popular among practitioners to solve this issue, as they keep intact all the underlying properties of the second order problems at a fraction of the cost. In this paper, interpolatory methods of model reduction are explored as an alternative, and applied to a 3D Space Frame. The methods chosen allow for structure-preserving reduced models and differ mainly on the selection of interpolation points. A comparison between the response of these reduced models and a proxy structure against two different types of inputs show that interpolatory methods are a viable, more flexible option when it comes to reducing the internal DoF's of a structural model, though engineering judgement helps to ensure it adequately captures the most relevant aspects of the response for the specific application.
en
In Copyright
Application of Interpolatory Methods of Model Reduction to an Elevated Railway Pier
Conference proceeding
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oai:vtechworks.lib.vt.edu:10919/470812023-04-14T12:27:05Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Aktosun, T.
author
Klaus, Martin
author
van der Mee, Cornelis
department
Mathematics
2014-04-09T18:12:26Z
2014-04-09T18:12:26Z
1992-05
Aktosun, T.; Klaus, M.; Vandermee, C., "Scattering and inverse scattering in one-dimensional nonhomogeneous media," J. Math. Phys. 33, 1717 (1992); http://dx.doi.org/10.1063/1.529650
0022-2488
http://hdl.handle.net/10919/47081
http://scitation.aip.org/content/aip/journal/jmp/33/5/10.1063/1.529650
https://doi.org/10.1063/1.529650
The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrodinger equation d2-psi/dx2 + k2-psi = k2P(x)psi + Q(x)psi with an added potential proportional to energy. The scattering and bound-state solutions of this equation are studied and the properties of the scattering matrix are obtained; the inverse scattering problem of recovering the restoring force when the wave speed and the scattering data are known are also solved.
en_US
In Copyright
schrodinger-equation
line
Scattering and inverse scattering in one-dimensional nonhomogeneous media
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/c4e0bdcf-b573-408f-96dc-39aca0689831/download
File
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1.529650.pdf
URL
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1.529650.pdf.txt
oai:vtechworks.lib.vt.edu:10919/743992022-06-16T17:38:38Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Beattie, Christopher A.
author
Gugercin, Serkan
author
Mehrmann, Volker
department
Mathematics
2017-01-21T20:21:38Z
2017-01-21T20:21:38Z
2016-08
http://hdl.handle.net/10919/74399
We consider the model reduction problem for linear time-invariant dynamical systems having nonzero (but otherwise indeterminate) initial conditions. Building upon the observation that the full system response is decomposable as a superposition of the response map for an unforced system having nontrivial initial conditions and the response map for a forced system having null initial conditions, we develop a new approach that involves reducing these component responses independently and then combining the reduced responses into an aggregate reduced system response. This approach allows greater flexibility and offers better approximation properties than other comparable methods.
en
In Copyright
cs.SY
math.NA
Model Reduction for Systems with Inhomogeneous Initial Conditions
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/1aad8149-44fd-4bed-87d5-452569018cb2/download
File
MD5
e952fe5633184cf464d750cfde076c4e
995401
application/pdf
1610.03262v2.pdf
URL
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oai:vtechworks.lib.vt.edu:10919/248252023-12-11T11:08:08Zcom_10919_8195com_10919_25799com_10919_19035com_10919_5539com_10919_24210com_10919_5553col_10919_18629col_10919_24290col_10919_24285
VTechWorks
author
Liu, Mingming
author
Watson, Layne T.
author
Zhang, Liqing
department
Computer Science
department
Mathematics
2014-01-14T20:09:47Z
2014-01-14T20:09:47Z
2014-01-09
BMC Bioinformatics. 2014 Jan 09;15(1):5
http://hdl.handle.net/10919/24825
https://doi.org/10.1186/1471-2105-15-5
Background
With the development of sequencing technologies, more and more sequence variants are available for investigation. Different classes of variants in the human genome have been identified, including single nucleotide substitutions, insertion and deletion, and large structural variations such as duplications and deletions. Insertion and deletion (indel) variants comprise a major proportion of human genetic variation. However, little is known about their effects on humans. The absence of understanding is largely due to the lack of both biological data and computational resources.
Results
This paper presents a new indel functional prediction method HMMvar based on HMM profiles, which capture the conservation information in sequences. The results demonstrate that a scoring strategy based on HMM profiles can achieve good performance in identifying deleterious or neutral variants for different data sets, and can predict the protein functional effects of both single and multiple mutations.
Conclusions
This paper proposed a quantitative prediction method, HMMvar, to predict the effect of genetic variation using hidden Markov models. The HMM based pipeline program implementing the method HMMvar is freely available at https://bioinformatics.cs.vt.edu/zhanglab/hmm.
en
Creative Commons Attribution 4.0 International
Quantitative prediction of the effect of genetic variation using hidden Markov models
Article - Refereed
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oai:vtechworks.lib.vt.edu:10919/1123002022-10-28T07:13:37Zcom_10919_104237com_10919_5553com_10919_24210col_10919_104238col_10919_24285
VTechWorks
author
Cho, Taewon
author
Chung, Julianne
author
Miller, Scot M.
author
Saibaba, Arvind K.
2022-10-27T16:50:03Z
2022-10-27T16:50:03Z
2022-07-20
1991-959X
http://hdl.handle.net/10919/112300
https://doi.org/10.5194/gmd-15-5547-2022
15
14
1991-9603
Atmospheric inverse modeling describes the process of estimating greenhouse gas fluxes or air pollution emissions at the Earth's surface using observations of these gases collected in the atmosphere. The launch of new satellites, the expansion of surface observation networks, and a desire for more detailed maps of surface fluxes have yielded numerous computational and statistical challenges for standard inverse modeling frameworks that were often originally designed with much smaller data sets in mind. In this article, we discuss computationally efficient methods for large-scale atmospheric inverse modeling and focus on addressing some of the main computational and practical challenges. We develop generalized hybrid projection methods, which are iterative methods for solving large-scale inverse problems, and specifically we focus on the case of estimating surface fluxes. These algorithms confer several advantages. They are efficient, in part because they converge quickly, they exploit efficient matrix-vector multiplications, and they do not require inversion of any matrices. These methods are also robust because they can accurately reconstruct surface fluxes, they are automatic since regularization or covariance matrix parameters and stopping criteria can be determined as part of the iterative algorithm, and they are flexible because they can be paired with many different types of atmospheric models. We demonstrate the benefits of generalized hybrid methods with a case study from NASA's Orbiting Carbon Observatory 2 (OCO-2) satellite. We then address the more challenging problem of solving the inverse model when the mean of the surface fluxes is not known a priori; we do so by reformulating the problem, thereby extending the applicability of hybrid projection methods to include hierarchical priors. We further show that by exploiting mathematical relations provided by the generalized hybrid method, we can efficiently calculate an approximate posterior variance, thereby providing uncertainty information.
en
Creative Commons Attribution 4.0 International
variational data assimilation
carbon-dioxide
co2
oco-2
regularization
retrievals
satellite
example
hybrid
cycle
Computationally efficient methods for large-scale atmospheric inverse modeling
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/4bbaf522-11b9-495f-8765-d61fc4b5e056/download
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oai:vtechworks.lib.vt.edu:10919/1179442024-03-14T13:51:06Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Al Daas, Hussam
author
Ballard, Grey
author
Cazeaux, Paul
author
Hallman, Eric
author
Miedlar, Agnieszka
author
Pasha, Mirjeta
author
Reid, Tim W.
author
Saibaba, Arvind K.
2024-02-12T16:08:50Z
2024-02-12T16:08:50Z
2023-01-27
1064-8275
https://hdl.handle.net/10919/117944
https://doi.org/10.1137/21M1451191
45
1
1095-7197
The tensor-train (TT) format is a highly compact low-rank representation for high-dimensional tensors. TT is particularly useful when representing approximations to the solutions of certain types of parametrized partial differential equations. For many of these problems, computing the solution explicitly would require an infeasible amount of memory and computational time. While the TT format makes these problems tractable, iterative techniques for solving the PDEs must be adapted to perform arithmetic while maintaining the implicit structure. The fundamental operation used to maintain feasible memory and computational time is called rounding, which truncates the internal ranks of a tensor already in TT format. We propose several randomized algorithms for this task that are generalizations of randomized low-rank matrix approximation algorithms and provide significant reduction in computation compared to deterministic TT-rounding algorithms. Randomization is particularly effective in the case of rounding a sum of TT-tensors (where we observe 20\times speedup), which is the bottleneck computation in the adaptation of GMRES to vectors in TT format. We present the randomized algorithms and compare their empirical accuracy and computational time with deterministic alternatives.
en
In Copyright
high-dimensional problems
randomized algorithms
tensor decompositions
tensortrain format
Randomized Algorithms for Rounding in the Tensor-Train Format
Article - Refereed
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SAMSI_Rand_Tensors.pdf
URL
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SAMSI_Rand_Tensors.pdf.txt
oai:vtechworks.lib.vt.edu:10919/470712023-04-14T12:27:05Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Klaus, Martin
department
Mathematics
2014-04-09T18:12:24Z
2014-04-09T18:12:24Z
1990-01
Klaus, M., "On the Levinson theorem for Dirac operators," J. Math. Phys. 31, 182 (1990); http://dx.doi.org/10.1063/1.528858
0022-2488
http://hdl.handle.net/10919/47071
http://scitation.aip.org/content/aip/journal/jmp/31/1/10.1063/1.528858
https://doi.org/10.1063/1.528858
For the Dirac equation with potential V(r) obeying ā«ā 0(1+r)āV(r)ād r<ā we prove a relativistic version of Levinsonās theorem that relates the number of bound states in the spectral gap [ām,m] to the variation of an appropriate phase along the continuous part of the spectrum. In the process, the asymptotic properties of the Jost function as EāĀ±m are analyzed in detail. The connection with the nonrelativistic version of Levinsonās theorem is also established.
en_US
In Copyright
dirac equation
number theory
operator theory
bound states
On the Levinson theorem for Dirac operators
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/7b8f042c-b0d7-453e-8415-277f00bb9138/download
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oai:vtechworks.lib.vt.edu:10919/481402020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Loehr, N. A.
department
Mathematics
2014-05-28T18:35:03Z
2014-05-28T18:35:03Z
2010
Loehr, N. A., "Abacus proofs of Schur function identities," SIAM J. Discrete Math., 24(4), 1356-1370, (2010). DOI: 10.1137/090753462
0895-4801
http://hdl.handle.net/10919/48140
http://epubs.siam.org/doi/abs/10.1137/090753462
https://doi.org/10.1137/090753462
This article uses combinatorial objects called labeled abaci to give direct combinatorial proofs of many familiar facts about Schur polynomials. We use abaci to prove the Pieri rules, the Littlewood-Richardson rule, the equivalence of the tableau definition and the determinant definition of Schur polynomials, and the combinatorial interpretation of the inverse Kostka matrix (first given by Egecioglu and Remmel). The basic idea is to regard formulas involving Schur polynomials as encoding bead motions on abaci. The proofs of the results just mentioned all turn out to be manifestations of a single underlying theme: when beads bump, objects cancel.
en_US
In Copyright
abaci
schur functions
pieri rules
littlewood-richardson rules
symmetric polynomials
tableaux
inverse kostka matrix
mathematics, applied
Abacus proofs of Schur function identities
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/e36c3b6e-c1d8-41d2-8ec1-69c27a788cfe/download
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090753462.pdf.txt
oai:vtechworks.lib.vt.edu:10919/467942020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Renardy, Michael J.
department
Mathematics
2014-03-26T17:35:14Z
2014-03-26T17:35:14Z
2002-07
J. Rheol. 46, 1023 (2002); http://dx.doi.org/10.1122/1.1487369
0148-6055
http://hdl.handle.net/10919/46794
http://scitation.aip.org/content/sor/journal/jor2/46/4/10.1122/1.1487369
https://doi.org/10.1122/1.1487369
We consider fiber spinning for the upper-convected Maxwell fluid in the limit of a high Deborah number. We compare several choices of boundary conditions that may be imposed. In addition to the takeup speed and the upstream flow rate, we consider four different boundary conditions: the upstream velocity, upstream elastic stress, the force in the fiber, and the ratio of stress to the square of the velocity (the latter can be motivated by a limit of vanishing retardation time). We find that the effect of the boundary condition on stability is crucial; in one case we even find an instability even though the draw ratio is 1.
en_US
In Copyright
Effect of upstream boundary conditions on stability of fiber spinning in the highly elastic limit
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/280a0228-ae10-4b78-8b6f-13f5de9d83db/download
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1.1487369.pdf.txt
oai:vtechworks.lib.vt.edu:10919/252292022-04-08T04:42:12Zcom_10919_24214com_10919_5539com_10919_24210com_10919_5553col_10919_24288col_10919_24285
VTechWorks
author
Eberle, A. P. R.
author
Baird, Donald G.
author
Wapperom, Peter
author
Velez-Garcia, G. M.
department
Chemical Engineering
department
Mathematics
2014-01-30T17:54:54Z
2014-01-30T17:54:54Z
2009-05-01
Eberle, Aaron P. R.; Baird, Donald G.; Wapperom, Peter; et al., "Using transient shear rheology to determine material parameters in fiber suspension theory," J. Rheol. 53, 685 (2009); http://dx.doi.org/10.1122/1.3099314
0148-6055
http://hdl.handle.net/10919/25229
http://scitation.aip.org/content/sor/journal/jor2/53/3/10.1122/1.3099314
https://doi.org/10.1122/1.3099314
Fiber suspension theory model parameters for use in the simulation of fiber orientation in complex flows are, in general, either calculated from theory or fit to experimentally determined fiber orientation generated in processing flows. Transient stress growth measurements in startup of shear flow and flow reversal in the shear rate range, (gamma)over dot = 1-10 s(-1), were performed on a commercially available short glass fiber-filled polybutylene terephthalate using a novel "donut-shaped" sample in a cone-and-plate geometry. Predictions using the Folgar-Tucker model for fiber orientation, with a "slip" factor, combined with the Lipscomb model for stress were fit to the transient stresses at the startup of shear flow. Model parameters determined by fitting at (gamma)over dot = 6 s(-1) allowed for reasonable predictions of the transient stresses in flow reversal experiments at all the shear rates tested. Furthermore, fiber orientation model parameters determined by fitting the transient stresses were compared to the experimentally determined evolution of fiber orientation in startup of flow. The results suggested that fitting model predictions to the stress response in well-defined flows could lead to unambiguous model parameters provided the fiber orientation as a function of time or strain at some shear rate was known. (C)2009 The Society of Rheology. [DOI: 10.1122/1.3099314]
en_US
In Copyright
Simple injection moldings
Closure approximations
Viscous fluids
Orientation
Flow
Particles
Motion
Composite materials
Stress
Model
Using transient shear rheology to determine material parameters in fiber suspension theory
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/86e5d23c-c7f5-4481-8da2-a4c968388f33/download
File
MD5
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URL
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MD5
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62507
text/plain
1.3099314.pdf.txt
oai:vtechworks.lib.vt.edu:10919/818672024-03-13T14:09:14Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Chan, J.
author
Wang, Z.
author
Modave, A.
author
Remacle, J.-F.
author
Warburton, T.
department
Mathematics
2018-01-19T12:57:31Z
2018-01-19T12:57:31Z
2016-08-01
0021-9991
http://hdl.handle.net/10919/81867
https://doi.org/10.1016/j.jcp.2016.04.003
318
Warburton, T [0000-0002-3202-1151]
1090-2716
In Copyright
Technology
Computer Science, Interdisciplinary Applications
Physics, Mathematical
Computer Science
Physics
Discontinuous Galerkin
GPU
High order
Hybrid mesh
Timestep restriction
Wave equation
SPECTRAL ELEMENT METHOD
TRACE INEQUALITIES
ORTHOGONAL BASES
FINITE-ELEMENTS
SHAPE FUNCTIONS
GRIDS
INTEGRATION
ADVECTION
EQUATIONS
PYRAMIDS
GPU-accelerated discontinuous Galerkin methods on hybrid meshes
Article - Refereed
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oai:vtechworks.lib.vt.edu:10919/550262023-12-11T11:08:10Zcom_10919_8195com_10919_25799com_10919_5540com_10919_11363com_10919_5539com_10919_19035com_10919_24210com_10919_5553col_10919_18629col_10919_71752col_10919_23164col_10919_24290col_10919_24285
VTechWorks
author
Liu, Mingming
author
Watson, Layne T.
author
Zhang, Liqing
department
Aerospace and Ocean Engineering
department
Computer Science
department
Mathematics
2015-07-31T16:40:53Z
2015-07-31T16:40:53Z
2015-07-30
Human Genomics. 2015 Jul 30;9(1):18
http://hdl.handle.net/10919/55026
https://doi.org/10.1186/s40246-015-0040-4
Background
Many genetic variants have been identified in the human genome. The functional effects of a single variant have been intensively studied. However, the joint effects of multiple variants in the same genes have been largely ignored due to their complexity or lack of data. This paper uses HMMvar, a hidden Markov model based approach, to investigate the combined effect of multiple variants from the 1000 Genomes Project. Two tumor suppressor genes, TP53 and phosphatase and tensin homolog (PTEN), are also studied for the joint effect of compensatory indel variants.
Results
Results show that there are cases where the joint effect of having multiple variants in the same genes is significantly different from that of a single variant. The deleterious effect of a single indel variant can be alleviated by their compensatory indels in TP53 and PTEN. Compound mutations in two genes, Ī²-MHC and MyBP-C, leading to severer cardiovascular disease compared to single mutations, are also validated.
Conclusions
This paper extends the functionality of HMMvar, a tool for assigning a quantitative score to a variant, to measure not only the deleterious effect of a single variant but also the joint effect of multiple variants. HMMvar is the first tool that can predict the functional effects of both single and general multiple variations on proteins. The precomputed scores for multiple variants from the 1000 Genomes Project and the HMMvar package are available at https://bioinformatics.cs.vt.edu/zhanglab/HMMvar/
en
Creative Commons Attribution 4.0 International
Predicting the combined effect of multiple genetic variants
Article - Refereed
Ck5PTi1FWENMVVNJVkUgRElTVFJJQlVUSU9OIExJQ0VOU0UKCkJ5IHNpZ25pbmcgYW5kIHN1Ym1pdHRpbmcgdGhpcyBsaWNlbnNlLCB5b3UgKHRoZSBhdXRob3Iocykgb3IgY29weXJpZ2h0IG93bmVyKQpncmFudCB0byBWaXJnaW5pYSBUZWNoJ3MgVW5pdmVyc2l0eSBMaWJyYXJpZXMgKFZUVUwpIHBlcm1pc3Npb24gdG8gc3RvcmUKYW5kIHByb3ZpZGUgYWNjZXNzIHRvIHlvdXIgc3VibWlzc2lvbiAoaW5jbHVkaW5nIHRoZSBhYnN0cmFjdCkuCgpZb3UgYWdyZWUgdGhhdCBWVFVMIG1heSwgd2l0aG91dCBjaGFuZ2luZyB0aGUgY29udGVudCwgdHJhbnNsYXRlIHRoZSBzdWJtaXNzaW9uCnRvIGFueSBtZWRpdW0gb3IgZm9ybWF0IGZvciB0aGUgcHVycG9zZSBvZiBwcmVzZXJ2YXRpb24uCgpZb3UgYWxzbyBhZ3JlZSB0aGF0IFZUVUwgbWF5IGtlZXAgbW9yZSB0aGFuIG9uZSBjb3B5IG9mIHRoaXMgc3VibWlzc2lvbiBmb3IKcHVycG9zZXMgb2Ygc2VjdXJpdHksIGJhY2stdXAgYW5kIHByZXNlcnZhdGlvbi4KCllvdSByZXByZXNlbnQgdGhhdCB0aGUgc3VibWlzc2lvbiBpcyB5b3VyIG9yaWdpbmFsIHdvcmssIGFuZCB0aGF0IHlvdSBoYXZlCnRoZSByaWdodCB0byBncmFudCB0aGUgcmlnaHRzIGNvbnRhaW5lZCBpbiB0aGlzIGxpY2Vuc2UuIFlvdSBhbHNvIHJlcHJlc2VudAp0aGF0IHlvdXIgc3VibWlzc2lvbiBkb2VzIG5vdCwgdG8gdGhlIGJlc3Qgb2YgeW91ciBrbm93bGVkZ2UsIGluZnJpbmdlIHVwb24KYW55b25lJ3MgY29weXJpZ2h0LgoKSWYgdGhlIHN1Ym1pc3Npb24gY29udGFpbnMgbWF0ZXJpYWwgZm9yIHdoaWNoIHlvdSBkbyBub3QgaG9sZCBjb3B5cmlnaHQsIHlvdQpyZXByZXNlbnQgdGhhdCB5b3UgaGF2ZSBvYnRhaW5lZCB0aGUgdW5yZXN0cmljdGVkIHBlcm1pc3Npb24gb2YgdGhlIGNvcHlyaWdodApvd25lciB0byBncmFudCBWVFVMIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdCBzdWNoCnRoaXJkLXBhcnR5IG93bmVkIG1hdGVyaWFsIGlzIGNsZWFybHkgaWRlbnRpZmllZCBhbmQgYWNrbm93bGVkZ2VkIHdpdGhpbiB0aGUKdGV4dCBvciBjb250ZW50IG9mIHRoZSBzdWJtaXNzaW9uLgoKSUYgVEhFIFNVQk1JU1NJT04gSVMgQkFTRUQgVVBPTiBXT1JLIFRIQVQgSEFTIEJFRU4gU1BPTlNPUkVEIE9SIFNVUFBPUlRFRCBCWSBBTgpBR0VOQ1kgT1IgT1JHQU5JWkFUSU9OIE9USEVSIFRIQU4gVklSR0lOSUEgVEVDSCwgWU9VIFJFUFJFU0VOVCBUSEFUIFlPVSBIQVZFCkZVTEZJTExFRCBBTlkgUklHSFQgT0YgUkVWSUVXIE9SIE9USEVSIE9CTElHQVRJT05TIFJFUVVJUkVEIEJZIFNVQ0ggQ09OVFJBQ1QgT1IKQUdSRUVNRU5ULgoKVlRVTCB3aWxsIGNsZWFybHkgaWRlbnRpZnkgeW91ciBuYW1lKHMpIGFzIHRoZSBhdXRob3Iocykgb3Igb3duZXIocykgb2YgdGhlCnN1Ym1pc3Npb24sIGFuZCB3aWxsIG5vdCBtYWtlIGFueSBhbHRlcmF0aW9uLCBvdGhlciB0aGFuIGFzIGFsbG93ZWQgYnkgdGhpcwpsaWNlbnNlLCB0byB5b3VyIHN1Ym1pc3Npb24uCgo=
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oai:vtechworks.lib.vt.edu:10919/476102022-01-05T19:33:19Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Cavalier, J. F.
author
Greenberg, William
department
Mathematics
2014-04-24T18:34:10Z
2014-04-24T18:34:10Z
1984
Cavalier, J. F.; Greenberg, W., "Analytical solutions of model equations for two phase gas mixtures: Transverse velocity perturbations," Phys. Fluids 27, 1114 (1984); http://dx.doi.org/10.1063/1.864758
1070-6631
http://hdl.handle.net/10919/47610
http://scitation.aip.org/content/aip/journal/pof1/27/5/10.1063/1.864758
https://doi.org/10.1063/1.864758
Model equations for a dilute binary gas system are derived, using a linear BGK scheme. Complete analytical solutions for the stationary half_space problem are obtained for transverse velocity perturbations. The method of solution relies on the resolvent integration technique.
en_US
In Copyright
Analytical solutions of model equations for two phase gas mixtures: Transverse velocity perturbations
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/3c4f5cc6-ccb8-43da-93b8-add90db80d0e/download
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oai:vtechworks.lib.vt.edu:10919/1024352021-02-25T08:20:42Zcom_10919_78629com_10919_78628com_10919_24210com_10919_5553col_10919_78630col_10919_24285
VTechWorks
author
Shaw, W. Robert
author
Holmdahl, Inga E.
author
Itoe, Maurice A.
author
Werling, Kristine
author
Marquette, Meghan
author
Paton, Douglas G.
author
Singh, Naresh
author
Buckee, Caroline O.
author
Childs, Lauren M.
author
Catteruccia, Flaminia
2021-02-24T14:12:53Z
2021-02-24T14:12:53Z
2020-12-31
http://hdl.handle.net/10919/102435
https://doi.org/10.1371/journal.ppat.1009131
16
12
Many mosquito species, including the major malaria vector Anopheles gambiae, naturally undergo multiple reproductive cycles of blood feeding, egg development and egg laying in their lifespan. Such complex mosquito behavior is regularly overlooked when mosquitoes are experimentally infected with malaria parasites, limiting our ability to accurately describe potential effects on transmission. Here, we examine how Plasmodium falciparum development and transmission potential is impacted when infected mosquitoes feed an additional time. We measured P. falciparum oocyst size and performed sporozoite time course analyses to determine the parasiteās extrinsic incubation period (EIP), i.e. the time required by parasites to reach infectious sporozoite stages, in An. gambiae females blood fed either once or twice. An additional blood feed at 3 days post infection drastically accelerates oocyst growth rates, causing earlier sporozoite accumulation in the salivary glands, thereby shortening the EIP (reduction of 2.3 Ā± 0.4 days). Moreover, parasite growth is further accelerated in transgenic mosquitoes with reduced reproductive capacity, which mimic genetic modifications currently proposed in population suppression gene drives. We incorporate our shortened EIP values into a measure of transmission potential, the basic reproduction number R0, and find the average R0 is higher (range: 10.1%ā12.1% increase) across sub-Saharan Africa than when using traditional EIP measurements. These data suggest that malaria elimination may be substantially more challenging and that younger mosquitoes or those with reduced reproductive ability may provide a larger contribution to infection than currently believed. Our findings have profound implications for current and future mosquito control interventions.
en_US
Attribution 4.0 International
Multiple blood feeding in mosquitoes shortens the Plasmodium falciparum incubation period and increases malaria transmission potential
Article - Refereed
URL
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oai:vtechworks.lib.vt.edu:10919/1112432023-11-29T19:07:23Zcom_10919_97076com_10919_11358com_10919_5540com_10919_24210com_10919_5553col_10919_97077col_10919_71752col_10919_24285
VTechWorks
author
McClure, James E.
author
Abaid, Nicole
2022-07-14T13:09:09Z
2022-07-14T13:09:09Z
2022-03-08
829005
http://hdl.handle.net/10919/111243
https://doi.org/10.3389/fams.2022.829005
8
2297-4687
In this work, we explore how the emergence of collective motion in a system of particles is influenced by the structure of their domain. Using the Vicsek model to generate flocking, we simulate two-dimensional systems that are confined based on varying obstacle arrangements. The presence of obstacles alters the topological structure of the domain where collective motion occurs, which, in turn, alters the scaling behavior. We evaluate these trends by considering the scaling exponent and critical noise threshold for the Vicsek model, as well as the associated diffusion properties of the system. We show that obstacles tend to inhibit collective motion by forcing particles to traverse the system based on curved trajectories that reflect the domain topology. Our results highlight key challenges related to the development of a more comprehensive understanding of geometric structure's influence on collective behavior.
en
Creative Commons Attribution 4.0 International
anomalous diffusion
collective behavior
Euler characteristic
integral geometry
Vicsek model
Effect of Topology and Geometric Structure on Collective Motion in the Vicsek Model
Article - Refereed
URL
https://vtechworks.lib.vt.edu/bitstreams/b035db1e-5299-471d-ab37-e17ed732e578/download
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oai:vtechworks.lib.vt.edu:10919/790942021-09-23T19:43:46Zcom_10919_8195com_10919_25799com_10919_24210com_10919_5553col_10919_78797col_10919_24285
VTechWorks
author
Holub, James R.
department
Mathematics
2017-09-18T10:08:21Z
2017-09-18T10:08:21Z
2003-01-01
James R. Holub, āRiesz bases and positive operators on Hilbert space,ā International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 18, pp. 1173-1174, 2003. doi:10.1155/S0161171203202349
http://hdl.handle.net/10919/79094
https://doi.org/10.1155/S0161171203202349
It is shown that a normalized Riesz basis for a Hilbert space H (i.e., the isomorphic image of an orthonormal basis in H) induces in a natural way a new, but equivalent, inner product onH in which it is an orthonormal basis, thereby extending thesense in which Riesz bases and orthonormal bases are thought ofas being the same. A consequence of themethod of proof of this result yields a series representation forall positive isomorphisms on a Hilbert space.
en
Creative Commons Attribution 4.0 International
Riesz bases and positive operators on Hilbert space
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/c0942838-68f4-42e6-b4eb-87f15cabcd1a/download
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oai:vtechworks.lib.vt.edu:10919/739102023-11-29T19:07:24Zcom_10919_5com_10919_25799com_10919_8195com_10919_5540com_10919_24210com_10919_5553col_10919_70873col_10919_78797col_10919_71752col_10919_24285
VTechWorks
author
Asfaw, Teffera M.
department
Mathematics
2016-12-30T13:28:46Z
2016-12-30T13:28:46Z
2016-08-11
Teffera M. Asfaw, "Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems", Abstract and Applied Analysis, vol. 2016, Article ID 7826475, 10 pages, 2016. https://doi.org/10.1155/2016/7826475
1687-0409
http://hdl.handle.net/10919/73910
https://doi.org/10.1155/2016/7826475
2016
Let š be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space šā. Let š : š ā š·(š)ā
2š ā and š“ : š ā š·(š“) ā 2š
ā be maximal monotone operators.The maximality of the sum of two maximal monotone operators has been an open problem for many years. In this paper, new maximality theorems are proved for š + š“ under weaker sufficient conditions. These theorems improved the well-known maximality results of Rockafellar who used condition ā
š·(š) ā© š·(š“) =Ģø 0 and Browder and Hess who used the quasiboundedness of š and condition 0 ā š·(š) ā©š·(š“). In particular, the maximality of
š + šš is proved provided that ā
š·(š) ā© š·(š) =Ģø 0, where š : š ā (āā,ā] is a proper, convex, and lower semicontinuous
function. Consequently, an existence theorem is proved addressing solvability of evolution type variational inequality problem for
pseudomonotone perturbation of maximal monotone operator.
en
Creative Commons Attribution 4.0 International
Maximality Theorems on the Sum of Two Maximal Monotone Operators and Applications to Variational inequality Problems
Article - Refereed
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oai:vtechworks.lib.vt.edu:10919/479742022-03-29T18:09:32Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Johnson, Harry L.
author
Russell, David L.
department
Mathematics
2014-05-14T13:23:40Z
2014-05-14T13:23:40Z
2003
Johnson, H. L.; Russell, D.L., "Transfer function approach to output specification in certain linear distributed parameter systems," Discrete and Continuous Dynamical Systems 26(4), 1153-1184, (2010); http://www.aimsciences.org/journals/displayPaperPro.jsp?paperID=1635
1078-0947
http://hdl.handle.net/10919/47974
http://www.aimsciences.org/journals/displayPaperPro.jsp?paperID=1635
We carry out error estimation of a class of immersed finite element (IFE) methods for elliptic interface problems with both perfect and imperfect interface jump conditions. A key feature of these methods is that their partitions can be independent of the location of the interface. These quadratic IFE spaces reduce to the standard quadratic finite element space when the interface is not in the interior of any element. More importantly, we demonstrate that these IFE spaces have the optimal (slightly lower order in one case) approximation capability expected from a finite element space using quadratic polynomials.
en_US
In Copyright
elliptic
interface
jump condition
immersed finite element method
error estimates
equations
approximation
Simulation
space
convergence
formulation
mathematics, applied
Transfer function approach to output specification in certain linear distributed parameter systems
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/37f81a19-5e7d-4d74-8fe5-dec580a8adce/download
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MD5
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209832
application/pdf
parameter2002.pdf
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parameter2002.pdf.txt
oai:vtechworks.lib.vt.edu:10919/470802020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Hagedorn, George A.
author
Meller, Bernhard
department
Mathematics
2014-04-09T18:12:26Z
2014-04-09T18:12:26Z
2000-01
Hagedorn, G. A.; Meller, B., "Resonances in a box," J. Math. Phys. 41, 103 (2000); http://dx.doi.org/10.1063/1.533124
0022-2488
http://hdl.handle.net/10919/47080
http://scitation.aip.org/content/aip/journal/jmp/41/1/10.1063/1.533124
https://doi.org/10.1063/1.533124
We investigate a numerical method for studying resonances in quantum mechanics. We prove rigorously that this method yields accurate approximations to resonance energies and widths for shape resonances in the semiclassical limit. (C) 2000 American Institute of Physics. [S0022-2488(00)01201-9].
en_US
In Copyright
quantun mechanics
Resonances in a box
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/3beb7678-8809-4dc6-9a5a-a1fe3f6decfc/download
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oai:vtechworks.lib.vt.edu:10919/481432020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Kim, J. U.
department
Mathematics
2014-05-28T18:35:04Z
2014-05-28T18:35:04Z
2005
Kim, J. U., "Invariant measures for the tochastic von Karman plate equation," SIAM J. Math. Anal., 36(5), 1689-1703, (2005). DOI: 10.1137/s0036141003438854
0036-1410
http://hdl.handle.net/10919/48143
http://epubs.siam.org/doi/abs/10.1137/S0036141003438854
https://doi.org/10.1137/s0036141003438854
We prove the existence of an invariant measure for the von Karman plate equation with random noise. The nonlinear term which symbolizes the von Karman equation inhibits the standard procedure for the existence of an invariant measure. We propose a technically different approach to handle such intricate nonlinear equations.
en_US
In Copyright
von karman plate equation
brownian motion
stopping time
existence of
a solution
invariant measure
probability distribution
tightness
evolution-equations
mathematics, applied
Invariant measures for the tochastic von Karman plate equation
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/f20b6bcc-ca62-4caf-b4e5-29b6e2ef3295/download
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s0036141003438854.pdf
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s0036141003438854.pdf.txt
oai:vtechworks.lib.vt.edu:10919/984742020-10-22T03:35:59Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Greischar, Megan A.
author
Alexander, Helen K.
author
Bashey, Farrah
author
Bento, Ana, I.
author
Bhattacharya, Amrita
author
Bushman, Mary
author
Childs, Lauren M.
author
Daversa, David
author
Day, Troy
author
Faust, Christina L.
author
Gallagher, Molly E.
author
Gandon, Sylvain
author
Glidden, Caroline
author
Halliday, Fletcher
author
Hanley, Kathryn A.
author
Kamiya, Tsukushi
author
Read, Andrew F.
author
Schwabl, Philipp
author
Sweeny, Amy R.
author
Tate, Ann T.
author
Thompson, Robin N.
author
Wale, Nina
author
Wearing, Helen J.
author
Yeh, Pamela J.
author
Mideo, Nicole
department
Mathematics
2020-05-19T14:56:31Z
2020-05-19T14:56:31Z
2020-02-04
http://hdl.handle.net/10919/98474
https://doi.org/10.1093/emph/eoaa004
1
32099654
2050-6201
en
Creative Commons Attribution 4.0 International
Evolutionary consequences of feedbacks between within-host competition and and disease control
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/6ad0dfc8-d9eb-4251-b4d4-9049ac81a8b5/download
File
MD5
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318465
application/pdf
eoaa004.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/6b60ce71-02cb-42f6-b623-2d41fce372ff/download
File
MD5
2c469414b9b3ba4f6e780e991cafbcb6
25656
text/plain
eoaa004.pdf.txt
oai:vtechworks.lib.vt.edu:10919/791282021-09-23T19:43:48Zcom_10919_8195com_10919_25799com_10919_24210com_10919_5553col_10919_78797col_10919_24285
VTechWorks
author
Dickman, R. F.
department
Mathematics
2017-09-18T10:13:01Z
2017-09-18T10:13:01Z
1980-01-01
R. F. Dickman Jr., āPeano compactifications and property metric spaces,ā International Journal of Mathematics and Mathematical Sciences, vol. 3, no. 4, pp. 695-700, 1980. doi:10.1155/S016117128000049X
http://hdl.handle.net/10919/79128
https://doi.org/10.1155/S016117128000049X
Let (X,d) denote a locally connected, connected separable metric space. We say the X is S-metrizable provided there is a topologically equivalent metric Ļ on X such that (X,Ļ) has Property S, i.e. for any Ļµ>0, X is the union of finitely many connected sets of Ļ-diameter less than Ļµ. It is well-known that S-metrizable spaces are locally connected and that if Ļ is a Property S metric for X, then the usual metric completion (XĖ,ĻĖ) of (X,Ļ) is a compact, locally connected, connected metric space, i.e. (XĖ,ĻĖ) is a Peano compactification of (X,Ļ). There are easily constructed examples of locally connected connected metric spaces which fail to be S-metrizable, however the author does not know of a non-S-metrizable space (X,d) which has a Peano compactification. In this paper we conjecture that: If (P,Ļ) a Peano compactification of (X,Ļ|X), X must be S-metrizable. Several (new) necessary and sufficient for a space to be S-metrizable are given, together with an example of non-S-metrizable space which fails to have a Peano compactification.
en
Creative Commons Attribution 4.0 International
Peano compactifications and property metric spaces
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/f8c943a7-1eaf-40be-b374-6d209a8f4647/download
File
MD5
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IJMMS.1980.408261.xml
URL
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IJMMS.1980.408261.pdf
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IJMMS.1980.408261.pdf.txt
oai:vtechworks.lib.vt.edu:10919/819352023-04-18T18:48:59Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Sariaydin Aslan, S.
author
de Sturler, Eric
author
Kilmer, Misha E.
department
Mathematics
2018-01-26T05:36:40Z
2018-01-26T05:36:40Z
2017-07-26
1064-8275
http://hdl.handle.net/10919/81935
de Sturler, E [0000-0002-9412-9360]
In partial differential equations-based inverse problems with many measurements, we have to solve many large linear system for each evaluation of the objective function. In the nonlinear case, each evaluation of the Jacobian requires solving an additional set of systems. This leads to a tremendous computational cost, which is by far the dominant cost for these problems. Several authors have proposed to drastically reduce the number of system solves by exploiting stochastic techniques [Haber et al., SIAM Optim., 22:739-757] and posing the problem as a stochastic optimization problem [Shapiro et al., Lectures on Stochastic Programming, SIAM, 2009]. In this approach, the objective function is estimated using only a few random linear combinations of the sources, referred to as simultaneous random sources. For the Jacobian, we show that a similar approach can be used to reduce the number of additional adjoint solves for the detectors. While others have reported good solution quality at a greatly reduced computational cost using these randomized approaches, for our problem of interest, diffuse optical tomography, the approach often does not lead to sufficiently accurate solutions. Therefore, we replace a few random simultaneous sources and detectors by simultaneous sources and detectors that are optimized to maximize the Frobenius norm of the sampled Jacobian after solving to a modest tolerance. This choice is inspired by (1) the regularized model problem solves in the TREGS nonlinear least squares solver [de Sturler and Kilmer, SIAM Sci. Comput., 33:3057-3086] used for minimization in our method and (2) the fact that these optimized directions correspond to the most informative data components. Our approach leads to solutions of the same quality as obtained using all sources and detectors but at a greatly reduced computational cost.
In Copyright
math.NA
65F22
65N21
65N22
65M32
62L20
90C15
Randomized Approach to Nonlinear Inversion Combining Simultaneous Random and Optimized Sources and Detectors
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/5648aea4-3601-403c-9e16-7f67a29c1e03/download
File
MD5
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946227
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1706.05586v2.pdf
URL
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1706.05586v2.pdf.txt
oai:vtechworks.lib.vt.edu:10919/519692020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Passian, Ali
author
Muralidharan, Govindarajan
author
Kouchekian, Sherwin
author
Mehta, A.
author
Cherian, Suman
author
Ferrell, Thomas L.
author
Thundat, Thomas
department
Mathematics
2015-05-04T15:07:05Z
2015-05-04T15:07:05Z
2002-04-01
Passian, A., Muralidharan, G., Kouchekian, S., Mehta, A., Cherian, S., Ferrell, T. L. & Thundat, T. (2002). Dynamics of self-driven microcantilevers. Journal of Applied Physics, 91(7), 4693-4700. doi: 10.1063/1.1452771
0021-8979
http://hdl.handle.net/10919/51969
http://scitation.aip.org/content/aip/journal/jap/91/7/10.1063/1.1452771
https://doi.org/10.1063/1.1452771
The small amplitude thermal vibrations of the microcantilever of an atomic force microscope can be enhanced via a delayed feedback system. This is verified experimentally for a triangular cantilever, and modeled theoretically as a boundary value problem resulting in a second order functional differential equation for the temporal behavior of the cantilever. The eigenvalues of the resulting delay differential equation describing the transverse vibrations of the cantilever are calculated and analyzed. These values are compared with the corresponding resonant frequencies predicted by a point mass model and with the experimentally observed values. (C) 2002 American Institute of Physics.
en_US
In Copyright
Differential equations
Atomic force microscopes
Boundary value problems
Eigenvalues
Vibration analysis
Dynamics of self-driven microcantilevers
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/f4ef92c7-3e61-4c1c-8a0f-68caeb1020be/download
File
MD5
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2002_Passian_et_al.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/dc7c54d5-9b3c-44bc-a09f-143a05d67e8e/download
File
MD5
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text/plain
2002_Passian_et_al.pdf.txt
oai:vtechworks.lib.vt.edu:10919/784772023-11-29T19:07:40Zcom_10919_5540com_10919_24210com_10919_5553col_10919_71752col_10919_24285
VTechWorks
author
Childs, Lauren M.
author
Prosper, Olivia F.
department
Mathematics
2017-07-31T14:36:41Z
2017-07-31T14:36:41Z
2017-05-22
http://hdl.handle.net/10919/78477
https://doi.org/10.1371/journal.pone.0177941
12
5
Plasmodium falciparum, the most virulent human malaria parasite, undergoes asexual reproduction within the human host, but reproduces sexually within its vector host, the Anopheles mosquito. Consequently, the mosquito stage of the parasite life cycle provides an opportunity to create genetically novel parasites in multiply-infected mosquitoes, potentially increasing parasite population diversity. Despite the important implications for disease transmission and malaria control, a quantitative mapping of how parasite diversity entering a mosquito relates to diversity of the parasite exiting, has not been undertaken. To examine the role that vector biology plays in modulating parasite diversity, we develop a two-part model framework that estimates the diversity as a consequence of different bottlenecks and expansion events occurring during the vector-stage of the parasite life cycle. For the underlying framework, we develop the first stochastic model of within-vector P. falciparum parasite dynamics and go on to simulate the dynamics of two parasite subpopulations, emulating multiply infected mosquitoes. We show that incorporating stochasticity is essential to capture the extensive variation in parasite dynamics, particularly in the presence of multiple parasites. In particular, unlike deterministic models, which always predict the most fit parasites to produce the most sporozoites, we find that occasionally only parasites with lower fitness survive to the sporozoite stage. This has important implications for onward transmission. The second part of our framework includes a model of sequence diversity generation resulting from recombination and reassortment between parasites within a mosquito. Our twopart model framework shows that bottlenecks entering the oocyst stage decrease parasite diversity from what is present in the initial gametocyte population in a mosquito's blood meal. However, diversity increases with the possibility for recombination and proliferation in the formation of sporozoites. Furthermore, when we begin with two parasite subpopulations in the initial gametocyte population, the probability of transmitting more than two unique parasites from mosquito to human is over 50% for a wide range of initial gametocyte densities.
en_US
Creative Commons Attribution 4.0 International
Simulating Within-Vector Generation of Malaria Parasite Diversity
Article - Refereed
URL
https://vtechworks.lib.vt.edu/bitstreams/4961c7d6-c941-4cc1-90c7-50b10d9030ad/download
File
MD5
f64a71b5f8d862e0506b8f44d3bd8f07
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application/pdf
ChildsSimulating2017.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/a7d0864c-e7bd-4017-a2c2-5954f68c9e02/download
File
MD5
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text/plain
ChildsSimulating2017.pdf.txt
oai:vtechworks.lib.vt.edu:10919/943502020-11-10T15:27:27Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Chekroun, Mickael D.
author
Liu, Honghu
author
McWilliams, James C.
department
Mathematics
2019-10-04T14:40:50Z
2019-10-04T14:40:50Z
2017-06-27
0045-7930
http://hdl.handle.net/10919/94350
https://doi.org/10.1016/j.compfluid.2016.07.005
151
1879-0747
The problem of emergence of fast gravity-wave oscillations in rotating, stratified flow is reconsidered. Fast inertia-gravity oscillations have long been considered an impediment to initialization of weather forecasts, and the concept of a "slow manifold" evolution, with no fast oscillations, has been hypothesized. It is shown on a reduced Primitive Equation model introduced by Lorenz in 1980 that fast oscillations are absent over a finite interval in Rossby number but they can develop brutally once a critical Rossby number is crossed, in contradistinction with fast oscillations emerging according to an exponential smallness scenario such as reported in previous studies, including some others by Lorenz. The consequences of this dynamical transition on the closure problem based on slow variables is also discussed. In that respect, a novel variational perspective on the closure problem exploiting manifolds is introduced. This framework allows for a unification of previous concepts such as the slow manifold or other concepts of "fuzzy" manifold. It allows furthermore for a rigorous identification of an optimal limiting object for the averaging of fast oscillations, namely the optimal parameterizing manifold (PM). It is shown through detailed numerical computations and rigorous error estimates that the manifold underlying the nonlinear Balance Equations provides a very good approximation of this optimal PM even somewhat beyond the emergence of fast and energetic oscillations. (C) 2016 The Authors. Published by Elsevier Ltd.
en
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Parameterizing manifolds
Slow manifolds
Slow conditional expectations
Emergence of fast oscillations
Balance equations
The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/06e6475a-eab6-409c-a3c5-47a6f63cc9b3/download
File
MD5
7119de37fda2215fc4b90aa3ecc08395
10047467
application/pdf
1-s2.0-S004579301630216X-main.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/109daece-5e78-4f25-a21e-adc26c7063fd/download
File
MD5
c81501dc836b52e060760ee12dd78181
108285
text/plain
1-s2.0-S004579301630216X-main.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1049202023-11-29T19:07:42Zcom_10919_78629com_10919_78628com_10919_5540com_10919_24210com_10919_5553col_10919_78630col_10919_71752col_10919_24285
VTechWorks
author
Fortunato, Anna K.
author
Glasser, Casey P.
author
Watson, Joy A.
author
Lu, Yongjin
author
RychtĆ”Å, Jan
author
Taylor, Dewey
2021-09-02T17:44:47Z
2021-09-02T17:44:47Z
2021-05-24
Fortunato AK, Glasser CP, Watson JA, Lu Y, RychtĆ”Å J, Taylor D. 2021 Mathematical modelling of the use of insecticidetreated nets for elimination of visceral leishmaniasis in Bihar, India. R. Soc. Open Sci. 8: 201960. https://doi.org/10.1098/rsos.201960
http://hdl.handle.net/10919/104920
https://doi.org/10.1098/rsos.201960
8
Visceral leishmaniasis (VL) is a deadly neglected tropical disease caused by a parasite Leishmania donovani and spread by female sand flies Phlebotomus argentipes. There is conflicting evidence regarding the role of insecticide-treated nets (ITNs) on the prevention of VL. Numerous studies demonstrated the effectiveness of ITNs. However, KalaNet, a large trial in Nepal and India did not support those findings. The purpose of this paper is to gain insight into the situation by mathematical modelling. We expand a mathematical model of VL transmission based on the KalaNet trial and incorporate the use of ITNs explicitly into the model. One of the major contributions of this work is that we calibrate the model based on the available epidemiological data, generally independent of the KalaNet trial. We validate the model on data collected during the KalaNet trial.We conclude that in order to eliminate VL, the ITN usage would have to stay above 96%. This is higher than the 91% ITNs use at the end of the trial which may explain why the trial did not show a positive effect from ITNs. At the same time, our model indicates that asymptomatic individuals play a crucial role in VL transmission.
en
Creative Commons Attribution 4.0 International
Kala-azar
post kala-azar dermal leishmaniasis
asymptomatic transmission
parameter estimation
vector-borne diseases
Mathematical modelling of the use of insecticide-treated nets for elimination of visceral leishmaniasis in Bihar, India
Article - Refereed
URL
https://vtechworks.lib.vt.edu/bitstreams/d163315e-8552-4fc8-b845-b132e6750979/download
File
MD5
1ba339d5e4fdcdeec9b6cd4ae647c50f
1674513
application/pdf
rsos.201960.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/f800935a-6977-4a49-9c4c-9367f198ecbd/download
File
MD5
71b8733b456f805b7aba9b433784531c
119438
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rsos.201960.pdf.txt
oai:vtechworks.lib.vt.edu:10919/786532023-12-11T11:08:13Zcom_10919_8195com_10919_25799com_10919_11363com_10919_5539com_10919_23829com_10919_5553com_10919_19035com_10919_24210col_10919_18629col_10919_23164col_10919_23830col_10919_24290col_10919_24285
VTechWorks
author
Oguz, Cihan
author
Watson, Layne T.
author
Baumann, William T.
author
Tyson, John J.
department
Aerospace and Ocean Engineering
department
Biological Sciences
department
Computer Science
department
Mathematics
2017-08-03T20:12:06Z
2017-08-03T20:12:06Z
2017-02-28
BMC Systems Biology. 2017 Feb 28;11(1):30
http://hdl.handle.net/10919/78653
https://doi.org/10.1186/s12918-017-0409-1
Background
Parameter estimation in systems biology is typically done by enforcing experimental observations through an objective function as the parameter space of a model is explored by numerical simulations. Past studies have shown that one usually finds a set of āfeasibleā parameter vectors that fit the available experimental data equally well, and that these alternative vectors can make different predictions under novel experimental conditions. In this study, we characterize the feasible region of a complex model of the budding yeast cell cycle under a large set of discrete experimental constraints in order to test whether the statistical features of relative protein abundance predictions are influenced by the topology of the cell cycle regulatory network.
Results
Using differential evolution, we generate an ensemble of feasible parameter vectors that reproduce the phenotypes (viable or inviable) of wild-type yeast cells and 110 mutant strains. We use this ensemble to predict the phenotypes of 129 mutant strains for which experimental data is not available. We identify 86 novel mutants that are predicted to be viable and then rank the cell cycle proteins in terms of their contributions to cumulative variability of relative protein abundance predictions. Proteins involved in āregulation of cell sizeā and āregulation of G1/S transitionā contribute most to predictive variability, whereas proteins involved in āpositive regulation of transcription involved in exit from mitosis,ā āmitotic spindle assembly checkpointā and ānegative regulation of cyclin-dependent protein kinase by cyclin degradationā contribute the least. These results suggest that the statistics of these predictions may be generating patterns specific to individual network modules (START, S/G2/M, and EXIT). To test this hypothesis, we develop random forest models for predicting the network modules of cell cycle regulators using relative abundance statistics as model inputs. Predictive performance is assessed by the areas under receiver operating characteristics curves (AUC). Our models generate an AUC range of 0.83-0.87 as opposed to randomized models with AUC values around 0.50.
Conclusions
By using differential evolution and random forest modeling, we show that the model prediction statistics generate distinct network module-specific patterns within the cell cycle network.
en
Creative Commons Attribution 4.0 International
Predicting network modules of cell cycle regulators using relative protein abundance statistics
Article - Refereed
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
URL
https://vtechworks.lib.vt.edu/bitstreams/7a188ac5-ecda-44fa-a403-549a086e89f2/download
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12918_2017_Article_409.pdf
URL
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12918_2017_Article_409.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1182392024-03-01T12:01:07Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Nestor, Mamani Macedo
author
Garcia Hilares, Nilton Alan
author
Julio, Pariona Quispe
author
R, Alarcon Matutti
2024-03-01T15:34:36Z
2024-03-01T15:34:36Z
2010-06-01
2327-817X
https://hdl.handle.net/10919/118239
https://doi.org/10.1109/PAHCE.2010.5474589
Garcia Hilares, Nilton [0009-0006-2279-2880]
This paper presents a comparative analysis of the main proposals to automatize a Patientās Health Record in any Medical Center: HL7 and OpenEHR. The methodology includes analyzing each approach, defining some criteria of evaluation, doing a comparative chart, and showing the main conclusions.
es
In Copyright
Electronic Health Record: Comparative analysis of HL7 and open EHR approaches
Article
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oai:vtechworks.lib.vt.edu:10919/476642020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Tanveer, S.
department
Mathematics
2014-04-24T18:34:20Z
2014-04-24T18:34:20Z
1986-11
Tanveer, S., "The effect of surface tension on the shape of a Hele-Shaw cell bubble," Phys. Fluids 29, 3537 (1986); http://dx.doi.org/10.1063/1.865831
1070-6631
http://hdl.handle.net/10919/47664
http://scitation.aip.org/content/aip/journal/pof1/29/11/10.1063/1.865831
https://doi.org/10.1063/1.865831
Numerical and asymptotic solutions are found for the steady motion of a symmetrical bubble through a parallelāsided channel in a HeleāShaw cell containing a viscous liquid. The degeneracy of the TaylorāSaffman zero surfaceātension solution is shown to be removed by the effect of surface tension. An apparent contradiction between numerics and perturbation arises here as it does for the finger. This contradiction is resolved analytically for small bubbles and is shown to be the result of exponentially small terms. Numerical results suggest that this is true for bubbles of arbitrary size. The limit of infinite surface tension is also analyzed.
en_US
In Copyright
The effect of surface tension on the shape of a Hele-Shaw cell bubble
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/82c7d619-f9ee-40e9-818c-15a78430003a/download
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oai:vtechworks.lib.vt.edu:10919/251172020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Cao, Zhenwei
author
Elgart, Alexander
department
Mathematics
2014-01-23T13:49:07Z
2014-01-23T13:49:07Z
2012-03
Cao, Zhenwei; Elgart, Alexander, "On the efficiency of Hamiltonian-based quantum computation for low-rank matrices," J. Math. Phys. 53, 032201 (2012); http://dx.doi.org/10.1063/1.3690045
0022-2488
http://hdl.handle.net/10919/25117
http://scitation.aip.org/content/aip/journal/jmp/53/3/10.1063/1.3690045
https://doi.org/10.1063/1.3690045
We present an extension of adiabatic quantum computing (AQC) algorithm for the unstructured search to the case when the number of marked items is unknown. The algorithm maintains the optimal Grover speedup and includes a small counting subroutine. Our other results include a lower bound on the amount of time needed to perform a general Hamiltonian-based quantum search, a lower bound on the evolution time needed to perform a search that is valid in the presence of control error and a generic upper bound on the minimum eigenvalue gap for evolutions. In particular, we demonstrate that quantum speedup for the unstructured search using AQC type algorithms may only be achieved under very rigid control precision requirements. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3690045]
en_US
In Copyright
adiabatic theorem
algorithms
On the efficiency of Hamiltonian-based quantum computation for low-rank matrices
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/f3c9ff95-b546-48c1-9a13-653c042ffe3a/download
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MD5
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URL
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oai:vtechworks.lib.vt.edu:10919/476382020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Sun, S. M.
department
Mathematics
2014-04-24T18:34:15Z
2014-04-24T18:34:15Z
1994-03
Sun, S. M., "Long nonlinear waves in an unbounded rotating jet or rotating two-fluid flow," Phys. Fluids 6, 1204 (1994); http://dx.doi.org/10.1063/1.868442
1070-6631
http://hdl.handle.net/10919/47638
http://scitation.aip.org/content/aip/journal/pof2/6/3/10.1063/1.868442
https://doi.org/10.1063/1.868442
The objective of this paper is to study weakly nonlinear waves in an infinitely long rotating jet and a rotating two-fluid flow bounded by an infinitely long rigid cylinder with surface tension at the interface. The critical values for Rossby number, a nondimensional wave speed, are found. When the Rossby number is near one of the critical values, nonlinear theory is developed under long-wave approximation and the well-known Korteweg-de Vries (KdV) equations for the free surface and free interface are obtained. Then the solitary wave solutions are given as the first-order approximations of the solutions of the equations governing the motion of the flows. The analogy between the rotating fluid hows and a two-dimensional flow with density stratification is discussed.
en_US
In Copyright
spinning liquid column
internal waves
mixture
Long nonlinear waves in an unbounded rotating jet or rotating two-fluid flow
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/d1e53d08-a03b-448f-a7bf-fec794dc0fe5/download
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URL
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oai:vtechworks.lib.vt.edu:10919/791202021-09-23T19:43:47Zcom_10919_8195com_10919_25799com_10919_24210com_10919_5553col_10919_78797col_10919_24285
VTechWorks
author
Kundu, S.
author
McCoy, Robert A.
department
Mathematics
2017-09-18T10:12:07Z
2017-09-18T10:12:07Z
1993-01-01
S. Kundu and R. A. McCoy, āTopologies between compact and uniform convergence on function spaces,ā International Journal of Mathematics and Mathematical Sciences, vol. 16, no. 1, pp. 101-109, 1993. doi:10.1155/S0161171293000122
http://hdl.handle.net/10919/79120
https://doi.org/10.1155/S0161171293000122
This paper studies two topologies on the set of all continuous real-valued functionson a Tychonoff space which lie between the topologies of compact convergence and uniformconvergence.
en
Creative Commons Attribution 4.0 International
Topologies between compact and uniform convergence on function spaces
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/3c7c37a3-fcff-46f8-aab7-1bf042b6b9b5/download
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URL
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URL
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oai:vtechworks.lib.vt.edu:10919/743352024-03-13T14:09:43Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Anic, Branimir
author
Beattie, Christopher A.
author
Gugercin, Serkan
author
Antoulas, Athanasios C.
department
Mathematics
2017-01-16T01:41:13Z
2017-01-16T01:41:13Z
2013-05-01
0005-1098
http://hdl.handle.net/10919/74335
https://doi.org/10.1016/j.automatica.2013.01.040
49
5
This paper introduces an interpolation framework for the weighted-H<sub>2</sub> model reduction problem. We obtain a new representation of the weighted-H<sub>2</sub> norm of SISO systems that provides new interpolatory first order necessary conditions for an optimal reduced-order model. The H<sub>2</sub> norm representation also provides an error expression that motivates a new weighted-H<sub>2</sub> model reduction algorithm. Several numerical examples illustrate the effectiveness of the proposed approach.
In Copyright
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
Model reduction
Rational interpolation
Feedback control
Weighted model reduction
Weighted-H-2 approximation
CONTROLLER REDUCTION
BALANCED TRUNCATION
APPROXIMATION
PROJECTION
Interpolatory weighted-H-2 model reduction
Article - Refereed
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oai:vtechworks.lib.vt.edu:10919/1178472024-02-05T10:01:22Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Greischar, Megan A.
author
Childs, Lauren M.
2024-02-05T13:03:31Z
2024-02-05T13:03:31Z
2023-08
1471-4922
S1471-4922(23)00124-1 (PII)
https://hdl.handle.net/10919/117847
https://doi.org/10.1016/j.pt.2023.05.006
39
8
Childs, Lauren [0000-0003-3904-3895]
37336700
1471-5007
For pathogenic organisms, faster rates of multiplication promote transmission success, the potential to harm hosts, and the evolution of drug resistance. Parasite multiplication rates (PMRs) are often quantified in malaria infections, given the relative ease of sampling. Using modern and historical human infection data, we show that established methods return extraordinarily ā and implausibly ā large PMRs. We illustrate how inflated PMRs arise from two facets of malaria biology that are far from unique: (i) some developmental ages are easier to sample than others; (ii) the distribution of developmental ages changes over the course of infection. The difficulty of accurately quantifying PMRs demonstrates a need for robust methods and a subsequent re-evaluation of what is known even in the well-studied system of malaria.
en
Creative Commons Attribution 4.0 International
Plasmodium falciparum
controlled human infection trial
malaria therapy
replication rates
within-host dynamics
Extraordinary parasite multiplication rates in human malaria infections
Article - Refereed
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oai:vtechworks.lib.vt.edu:10919/1160802023-08-23T07:12:50Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Couch, Brian A.
author
Prevost, Luanna B.
author
Stains, Marilyne
author
Whitt, Blake
author
Marcy, Ariel E.
author
Apkarian, Naneh
author
Dancy, Melissa H.
author
Henderson, Charles
author
Johnson, Estrella
author
Raker, Jeffrey R.
author
Yik, Brandon J.
author
Earl, Brittnee
author
Shadle, Susan E.
author
Skvoretz, John
author
Ziker, John P.
2023-08-22T13:59:00Z
2023-08-22T13:59:00Z
2023-04
1156781
http://hdl.handle.net/10919/116080
https://doi.org/10.3389/feduc.2023.1156781
8
2504-284X
Instructors' interactions can foster knowledge sharing around teaching and the use of research-based instructional strategies (RBIS). Coordinated teaching presents an impetus for instructors' interactions and creates opportunities for instructional improvement but also potentially limits an instructor's autonomy. In this study, we sought to characterize the extent of coordination present in introductory undergraduate courses and to understand how departments and instructors implement and experience course coordination. We examined survey data from 3,641 chemistry, mathematics, and physics instructors at three institution types and conducted follow-up interviews with a subset of 24 survey respondents to determine what types of coordination existed, what factors led to coordination, how coordination constrained instruction, and how instructors maintained autonomy within coordinated contexts. We classified three approaches to coordination at both the overall course and course component levels: independent (i.e., not coordinated), collaborative (decision-making by instructor and others), controlled (decision-making by others, not instructor). Two course components, content coverage and textbooks, were highly coordinated. These curricular components were often decided through formal or informal committees, but these decisions were seldom revisited. This limited the ability for instructors to participate in the decision-making process, the level of interactions between instructors, and the pedagogical growth that could have occurred through these conversations. Decision-making around the other two course components, instructional methods and exams, was more likely to be independently determined by the instructors, who valued this autonomy. Participants in the study identified various ways in which collaborative coordination of courses can promote but also inhibit pedagogical growth. Our findings indicate that the benefits of collaborative course coordination can be realized when departments develop coordinated approaches that value each instructor's autonomy, incorporate shared and ongoing decision-making, and facilitate collaborative interactions and knowledge sharing among instructors.
en
Creative Commons Attribution 4.0 International
autonomy
coordinated
exams
institutional change
textbook
undergraduate
STEM
Examining whether and how instructional coordination occurs within introductory undergraduate STEM courses
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/5abc461d-867b-4f10-b0dd-e3e67dc01cd8/download
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oai:vtechworks.lib.vt.edu:10919/476122020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Sun, S. M.
author
Keller, J. B.
department
Mathematics
2014-04-24T18:34:10Z
2014-04-24T18:34:10Z
2001-08
Sun, SM; Keller, JB, "Capillary-gravity wave drag," Phys. Fluids 13, 2146 (2001); http://dx.doi.org/10.1063/1.1384889
1070-6631
http://hdl.handle.net/10919/47612
http://scitation.aip.org/content/aip/journal/pof2/13/8/10.1063/1.1384889
https://doi.org/10.1063/1.1384889
Drag due to the production of capillary-gravity waves is calculated for an object moving along the surface of a liquid. Both two and three dimensional objects, moving at large Froude and Weber numbers, are treated. (C) 2001 American Institute of Physics.
en_US
In Copyright
resistance
surface
body
Capillary-gravity wave drag
Article - Refereed
URL
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oai:vtechworks.lib.vt.edu:10919/251182020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Elgart, Alexander
author
Hagedorn, George A.
department
Mathematics
2014-01-23T13:49:07Z
2014-01-23T13:49:07Z
2012-10
Elgart, Alexander; Hagedorn, George A., "A note on the switching adiabatic theorem," J. Math. Phys. 53, 102202 (2012); http://dx.doi.org/10.1063/1.4748968
0022-2488
http://hdl.handle.net/10919/25118
http://scitation.aip.org/content/aip/journal/jmp/53/10/10.1063/1.4748968
https://doi.org/10.1063/1.4748968
We derive a nearly optimal upper bound on the running time in the adiabatic theorem for a switching family of Hamiltonians. We assume the switching Hamiltonian is in the Gevrey class G(alpha) as a function of time, and we show that the error in adiabatic approximation remains small for running times of order g(-2) vertical bar ln g vertical bar(6 alpha). Here g denotes the minimal spectral gap between the eigenvalue(s) of interest and the rest of the spectrum of the instantaneous Hamiltonian. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4748968]
en_US
In Copyright
evolution
formula
A note on the switching adiabatic theorem
Article - Refereed
URL
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oai:vtechworks.lib.vt.edu:10919/839662023-11-29T19:08:10Zcom_10919_8195com_10919_25799com_10919_5540com_10919_24210com_10919_5553col_10919_78797col_10919_71752col_10919_24285
VTechWorks
author
Asfaw, Teffera M.
author
Asfaw, Teffera M.
department
Mathematics
2018-07-16T12:54:20Z
2018-07-16T12:54:20Z
2018-07-12
Teffera M. Asfaw, āExistence Theorems on Solvability of Constrained Inclusion Problems and Applications,ā Abstract and Applied Analysis, vol. 2018, Article ID 6953649, 10 pages, 2018. doi:10.1155/2018/6953649
http://hdl.handle.net/10919/83966
https://doi.org/10.1155/2018/6953649
Let š be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space šā. Letš : š ā š·(š) ā 2šā be a maximal monotone operator and š¶ : š ā š·(š¶) ā šā be bounded and continuous with š·(š) ā š·(š¶). The paper provides new existence theorems concerning solvability of inclusion problems involving operators of the type š + š¶ provided that š¶ is compact or š is of compact resolvents underweak boundary condition. The Nagumo degree mapping and homotopy invariance results are employed.The paper presents existence results under the weakest coercivity condition on š+š¶. The operator š¶ is neither required to be defined everywhere nor required to be pseudomonotone type.The results are applied to prove existence of solution for nonlinear variational inequality problems.
en
Creative Commons Attribution 4.0 International
Existence Theorems on Solvability of Constrained Inclusion Problems and Applications
Article - Refereed
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oai:vtechworks.lib.vt.edu:10919/240702023-12-11T11:08:39Zcom_10919_8195com_10919_25799com_10919_24210com_10919_5553col_10919_18629col_10919_24285
VTechWorks
author
Gƶbel, Britta
author
Oltmanns, Kerstin M.
author
Chung, Matthias
department
Mathematics
2013-11-13T10:39:05Z
2013-11-13T10:39:05Z
2013-08-29
Theoretical Biology and Medical Modelling. 2013 Aug 29;10(1):50
http://hdl.handle.net/10919/24070
https://doi.org/10.1186/1742-4682-10-50
Background
Energy homeostasis ensures the functionality of the entire organism. The human brain as a missing link in the global regulation of the complex whole body energy metabolism is subject to recent investigation. The goal of this study is to gain insight into the influence of neuronal brain activity on cerebral and peripheral energy metabolism. In particular, the tight link between brain energy supply and metabolic responses of the organism is of interest. We aim to identifying regulatory elements of the human brain in the whole body energy homeostasis.
Methods
First, we introduce a general mathematical model describing the human whole body energy metabolism. It takes into account the two central roles of the brain in terms of energy metabolism. The brain is considered as energy consumer as well as regulatory instance. Secondly, we validate our mathematical model by experimental data. Cerebral high-energy phosphate content and peripheral glucose metabolism are measured in healthy men upon neuronal activation induced by transcranial direct current stimulation versus sham stimulation. By parameter estimation we identify model parameters that provide insight into underlying neurophysiological processes. Identified parameters reveal effects of neuronal activity on regulatory mechanisms of systemic glucose metabolism.
Results
Our examinations support the view that the brain increases its glucose supply upon neuronal activation. The results indicate that the brain supplies itself with energy according to its needs, and preeminence of cerebral energy supply is reflected. This mechanism ensures balanced cerebral energy homeostasis.
Conclusions
The hypothesis of the central role of the brain in whole body energy homeostasis as active controller is supported.
en
Creative Commons Attribution 4.0 International
Linking neuronal brain activity to the glucose metabolism
Article - Refereed
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oai:vtechworks.lib.vt.edu:10919/1015322022-02-26T15:58:38Zcom_10919_78629com_10919_78628com_10919_24210com_10919_5553col_10919_78630col_10919_24285
VTechWorks
author
Carlsson, Rose-Marie
author
Childs, Lauren M.
author
Feng, Zhilan
author
Glasser, John W.
author
Heffernan, Jane M.
author
Li, Jing
author
Rƶst, Gergely
department
Mathematics
2020-12-18T15:10:12Z
2020-12-18T15:10:12Z
2020-07-21
0022-5193
110265
http://hdl.handle.net/10919/101532
https://doi.org/10.1016/j.jtbi.2020.110265
497
32272134
1095-8541
Immunity following natural infection or immunization may wane, increasing susceptibility to infection with time since infection or vaccination. Symptoms, and concomitantly infectiousness, depend on residual immunity. We quantify these phenomena in a model population composed of individuals whose susceptibility, infectiousness, and symptoms all vary with immune status. We also model age, which affects contact, vaccination and possibly waning rates. The resurgences of pertussis that have been observed wherever effective vaccination programs have reduced typical disease among young children follow from these processes. As one example, we compare simulations with the experience of Sweden following resumption of pertussis vaccination after the hiatus from 1979 to 1996, reproducing the observations leading health authorities to introduce booster doses among school-aged children and adolescents in 2007 and 2014, respectively. Because pertussis comprises a spectrum of symptoms, only the most severe of which are medically attended, accurate models are needed to design optimal vaccination programs where surveillance is less effective. (C) 2020 The Authors. Published by Elsevier Ltd.
en
Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International
Mathematical epidemiology
Waning and boosting of immunity
Vaccination
Age- and immunity-structured population
Immuno-epidemiology
Modeling the waning and boosting of immunity from infection or vaccination
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/5ea4491e-712d-47da-9026-c37c3c9fbecf/download
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1-s2.0-S002251932030120X-main.pdf
URL
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oai:vtechworks.lib.vt.edu:10919/975012021-12-08T15:09:28Zcom_10919_8195com_10919_25799com_10919_24210com_10919_5553col_10919_78882col_10919_24285
VTechWorks
author
Xie, Xuping
author
Webster, Clayton G.
author
Iliescu, Traian
department
Mathematics
2020-03-27T18:48:38Z
2020-03-27T18:48:38Z
2020-03-23
Xie, X.; Webster, C.; Iliescu, T. Closure Learning for Nonlinear Model Reduction Using Deep Residual Neural Network. Fluids 2020, 5, 39.
http://hdl.handle.net/10919/97501
https://doi.org/10.3390/fluids5010039
Developing accurate, efficient, and robust closure models is essential in the construction of reduced order models (ROMs) for realistic nonlinear systems, which generally require drastic ROM mode truncations. We propose a deep residual neural network (ResNet) closure learning framework for ROMs of nonlinear systems. The novel ResNet-ROM framework consists of two steps: (i) In the first step, we use ROM projection to filter the given nonlinear system and construct a spatially filtered ROM. This filtered ROM is low-dimensional, but is not closed. (ii) In the second step, we use ResNet to close the filtered ROM, i.e., to model the interaction between the resolved and unresolved ROM modes. We emphasize that in the new ResNet-ROM framework, data is used only to complement classical physical modeling (i.e., only in the closure modeling component), not to completely replace it. We also note that the new ResNet-ROM is built on general ideas of spatial filtering and deep learning and is independent of (restrictive) phenomenological arguments, e.g., of eddy viscosity type. The numerical experiments for the 1D Burgers equation show that the ResNet-ROM is significantly more accurate than the standard projection ROM. The new ResNet-ROM is also more accurate and significantly more efficient than other modern ROM closure models.
en
Creative Commons Attribution 4.0 International
reduced order model
closure model
variational multiscale method
deep residual neural network
Closure Learning for Nonlinear Model Reduction Using Deep Residual Neural Network
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/5c1672b0-63df-41cd-9940-4f433568268d/download
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MD5
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fluids-05-00039-v2.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/22b9d4ba-4d30-4a1b-87ff-26d54ab92258/download
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fluids-05-00039-v2.pdf.txt
oai:vtechworks.lib.vt.edu:10919/803762023-12-11T11:08:39Zcom_10919_8195com_10919_25799com_10919_5540com_10919_24210com_10919_5553col_10919_18629col_10919_71752col_10919_24285
VTechWorks
author
Keller, Rachel E.
author
Johnson, Estrella
author
DeShong, Steven
department
Mathematics
2017-11-14T13:00:15Z
2017-11-14T13:00:15Z
2017-11-10
International Journal of STEM Education. 2017 Nov 10;4(1):24
http://hdl.handle.net/10919/80376
https://doi.org/10.1186/s40594-017-0093-0
Background
Government projections in the USA indicate that the country will need a million more science, technology, engineering, and mathematics (STEM) graduates above and beyond those already projected by the year 2022. Of crucial importance to the STEM pipeline is success in Calculus I, without which continuation in a STEM major is not possible. The STEM community at large, and mathematics instructors specifically, need to understand factors that influence and promote success in order to mitigate the alarming attrition trend. Previous work in this area has defined success singularly in terms of grades or persistence; however, these definitions are somewhat limiting and neglect the possible mediating effects of affective constructs like confidence, mindset, and enjoyment on the aforementioned markers of success. Using structural equation modeling, this paper explored the effect of participation on grades in freshman college calculus and investigated whether these effects were mediated by affective variables.
Results
Results indicated that participation had no significant direct effect on any of the success components in the final modelāa finding that was not only counterintuitive but actually contradicted previous research done on this data. Participation was however highly correlated with two other exogenous variables indicating it would be inappropriate to dismiss it as being unrelated to success. Furthermore, the results suggested a cluster of affective success components and an achievement component with confidence being the intermediary between the two.
Conclusions
This paper extends upon previous work with this data set in which the effect of participatory behaviors on success was investigated wherein success was measured singularly with expected course grade and affective components of success were not considered. The limited explanatory power of the model, coupled with the seemingly contradictory results, indicates that participatory behaviors alone might be insufficient to capture the complexity of the success response variable.
en
Creative Commons Attribution 4.0 International
A structural equation model looking at studentās participatory behavior and their success in Calculus I
Article - Refereed
Ck5PTi1FWENMVVNJVkUgRElTVFJJQlVUSU9OIExJQ0VOU0UKCkJ5IHNpZ25pbmcgYW5kIHN1Ym1pdHRpbmcgdGhpcyBsaWNlbnNlLCB5b3UgKHRoZSBhdXRob3Iocykgb3IgY29weXJpZ2h0IG93bmVyKQpncmFudCB0byBWaXJnaW5pYSBUZWNoJ3MgVW5pdmVyc2l0eSBMaWJyYXJpZXMgKFZUVUwpIHBlcm1pc3Npb24gdG8gc3RvcmUKYW5kIHByb3ZpZGUgYWNjZXNzIHRvIHlvdXIgc3VibWlzc2lvbiAoaW5jbHVkaW5nIHRoZSBhYnN0cmFjdCkuCgpZb3UgYWdyZWUgdGhhdCBWVFVMIG1heSwgd2l0aG91dCBjaGFuZ2luZyB0aGUgY29udGVudCwgdHJhbnNsYXRlIHRoZSBzdWJtaXNzaW9uCnRvIGFueSBtZWRpdW0gb3IgZm9ybWF0IGZvciB0aGUgcHVycG9zZSBvZiBwcmVzZXJ2YXRpb24uCgpZb3UgYWxzbyBhZ3JlZSB0aGF0IFZUVUwgbWF5IGtlZXAgbW9yZSB0aGFuIG9uZSBjb3B5IG9mIHRoaXMgc3VibWlzc2lvbiBmb3IKcHVycG9zZXMgb2Ygc2VjdXJpdHksIGJhY2stdXAgYW5kIHByZXNlcnZhdGlvbi4KCllvdSByZXByZXNlbnQgdGhhdCB0aGUgc3VibWlzc2lvbiBpcyB5b3VyIG9yaWdpbmFsIHdvcmssIGFuZCB0aGF0IHlvdSBoYXZlCnRoZSByaWdodCB0byBncmFudCB0aGUgcmlnaHRzIGNvbnRhaW5lZCBpbiB0aGlzIGxpY2Vuc2UuIFlvdSBhbHNvIHJlcHJlc2VudAp0aGF0IHlvdXIgc3VibWlzc2lvbiBkb2VzIG5vdCwgdG8gdGhlIGJlc3Qgb2YgeW91ciBrbm93bGVkZ2UsIGluZnJpbmdlIHVwb24KYW55b25lJ3MgY29weXJpZ2h0LgoKSWYgdGhlIHN1Ym1pc3Npb24gY29udGFpbnMgbWF0ZXJpYWwgZm9yIHdoaWNoIHlvdSBkbyBub3QgaG9sZCBjb3B5cmlnaHQsIHlvdQpyZXByZXNlbnQgdGhhdCB5b3UgaGF2ZSBvYnRhaW5lZCB0aGUgdW5yZXN0cmljdGVkIHBlcm1pc3Npb24gb2YgdGhlIGNvcHlyaWdodApvd25lciB0byBncmFudCBWVFVMIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdCBzdWNoCnRoaXJkLXBhcnR5IG93bmVkIG1hdGVyaWFsIGlzIGNsZWFybHkgaWRlbnRpZmllZCBhbmQgYWNrbm93bGVkZ2VkIHdpdGhpbiB0aGUKdGV4dCBvciBjb250ZW50IG9mIHRoZSBzdWJtaXNzaW9uLgoKSWYgdGhlIHN1Ym1pc3Npb24gaXMgYmFzZWQgdXBvbiB3b3JrIHRoYXQgaGFzIGJlZW4gc3BvbnNvcmVkIG9yIHN1cHBvcnRlZCBieSBhbgphZ2VuY3kgb3Igb3JnYW5pemF0aW9uIG90aGVyIHRoYW4gVmlyZ2luaWEgVGVjaCwgeW91IHJlcHJlc2VudCB0aGF0IHlvdSBoYXZlCmZ1bGZpbGxlZCBhbnkgcmlnaHQgb2YgcmV2aWV3IG9yIG90aGVyIG9ibGlnYXRpb25zIHJlcXVpcmVkIGJ5IHN1Y2ggY29udHJhY3Qgb3IKYWdyZWVtZW50LgoKVlRVTCB3aWxsIGNsZWFybHkgaWRlbnRpZnkgeW91ciBuYW1lKHMpIGFzIHRoZSBhdXRob3Iocykgb3Igb3duZXIocykgb2YgdGhlCnN1Ym1pc3Npb24sIGFuZCB3aWxsIG5vdCBtYWtlIGFueSBhbHRlcmF0aW9uLCBvdGhlciB0aGFuIGFzIGFsbG93ZWQgYnkgdGhpcwpsaWNlbnNlLCB0byB5b3VyIHN1Ym1pc3Npb24uCgo=
URL
https://vtechworks.lib.vt.edu/bitstreams/a501e9aa-3a4b-4198-bdb6-ae28a14d0c24/download
File
MD5
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application/pdf
40594_2017_Article_93.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/21248fa8-cf2b-4ab9-8f93-e7527f5370f3/download
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text/plain
40594_2017_Article_93.pdf.txt
oai:vtechworks.lib.vt.edu:10919/986622020-10-22T03:36:00Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Berselli, Luigi C.
author
Iliescu, Traian
author
Koc, Birgul
author
Lewandowski, Roger
department
Mathematics
2020-06-02T14:40:15Z
2020-06-02T14:40:15Z
2019-10-22
http://hdl.handle.net/10919/98662
https://doi.org/10.3934/mine.2020001
2
1
2640-3501
We perform a preliminary theoretical and numerical investigation of the time-average of energy exchange among modes of Reduced Order Models (ROMs) of fluid flows. We are interested in the statistical equilibrium problem, and especially in the possible forward and backward average transfer of energy among ROM basis functions (modes). We consider two types of ROM modes: Eigenfunctions of the Stokes operator and Proper Orthogonal Decomposition (POD) modes. We prove analytical results for both types of ROM modes and we highlight the differences between them. We also investigate numerically whether the time-average energy exchange between POD modes is positive. To this end, we utilize the one-dimensional Burgers equation as a simplified mathematical model, which is commonly used in ROM tests. The main conclusion of our numerical study is that, for long enough time intervals, the time-average energy exchange from low index POD modes to high index POD modes is positive, as predicted by our theoretical results.
en
Creative Commons Attribution 4.0 International
reduced order model
long-time behavior
Reynolds equations
statistical equilibrium
Long-time Reynolds averaging of reduced order models for fluid flows: Preliminary results
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/9f4b33fc-7484-4c07-bbe0-693d1a8a3e14/download
File
MD5
be51ef0dc8e06ba5900ea0e5dfe0d005
481757
application/pdf
mine-02-01-001.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/cf296da6-5af0-4c8c-8d5b-098928905b95/download
File
MD5
ba7d612ab5081e17c83ccb10ccd6e3fa
61987
text/plain
mine-02-01-001.pdf.txt
oai:vtechworks.lib.vt.edu:10919/476622020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Tanveer, S.
author
Saffman, P. G.
department
Mathematics
2014-04-24T18:34:20Z
2014-04-24T18:34:20Z
1988-11
Tanveer, S.; Saffman, P. G., "The effect of nonzero viscosity ratio on the stability of fingers and bubbles in a Hele-Shaw cell," Phys. Fluids 31, 3188 (1988); http://dx.doi.org/10.1063/1.866930
1070-6631
http://hdl.handle.net/10919/47662
http://scitation.aip.org/content/aip/journal/pof1/31/11/10.1063/1.866930
https://doi.org/10.1063/1.866930
The linear stability of a steadily moving bubble or a finger in a HeleāShaw cell is considered in the case when gravity and the ratio between the viscosities of the less and more viscous fluids are nonzero. The effect of gravity is easily incorporated by a transformation of parameters introduced previously by Saffman and Taylor [Proc. R. Soc. London Ser. A 2 4 5, 312 (1958)] for the steady flow, which makes the timeādependent flows with and without gravity equivalent. For the nonzero viscosity ratio, the transformation of parameters introduced by Saffman and Taylor also makes steady finger and bubble flows with nonzero and zero viscosity ratios equivalent. However, for the unsteady case, there is no such equivalence and so a complete calculation is carried out to investigate the effect of the nonzero viscosity ratio on the stability of fingers and bubbles. The incorporation of the finite viscosity ratio is found not to qualitatively alter the linear stability features obtained in earlier work for the zero viscosity ratio, although there are quantitative differences in the growth or decay rate of various modes. For any surface tension, numerical calculation suggests that the McLeanāSaffman branch of bubbles [Phys. Fluids 3 0, 651 (1987)] of arbitrary size is stable, whereas all the other branches are unstable. For a small bubble that is circular, the eigenvalues of the stability operator are found explicitly. The previous analytic theory for the stability of the finger in the limit of zero surface tension is extended to include the case of the finite viscosity ratio. It is found that, as in the case of bubbles, the finite viscosity ratio does not alter qualitatively any of the features obtained previously for the zero viscosity ratio.
en_US
In Copyright
The effect of nonzero viscosity ratio on the stability of fingers and bubbles in a Hele-Shaw cell
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/2fcfab77-50c9-4ddd-a67d-2ade284ef08f/download
File
MD5
162190bd901aade865661901c2b56388
1458884
application/pdf
1.866930.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/7c1a1ffc-cc99-4da9-ad2d-d89ba63b5aeb/download
File
MD5
9241525d54555e749df7d581d3fe7dcb
3541
text/plain
1.866930.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1046522022-02-26T22:22:46Zcom_10919_78629com_10919_78628com_10919_86665com_10919_24211com_10919_5553com_10919_23913com_10919_24210col_10919_78630col_10919_86666col_10919_23920col_10919_24285col_10919_24287
VTechWorks
author
Serrao, Shannon R.
author
Deng, Shengfeng
author
Priyanka
author
Mukhamadiarov, Ruslan I.
author
Childs, Lauren M.
author
TƤuber, Uwe C.
2021-08-16T17:48:16Z
2021-08-16T17:48:16Z
2020-10-25
http://hdl.handle.net/10919/104652
https://doi.org/10.1101/2020.10.21.20217331
We employ individual-based Monte Carlo computer simulations of a stochastic SEIR model variant on a two-dimensional Newman{Watts small-world network to investigate the control of epidemic outbreaks through periodic testing and isolation of infectious individuals, and subsequent quarantine of their immediate contacts. Using disease parameters informed by the COVID-19 pandemic, we investigate the effects of various crucial mitigation features on the epidemic spreading: fraction of the infectious population that is identifiable through the tests; testing frequency; time delay between testing and isolation of positively tested individuals; and the further time delay until quarantining their contacts as well as the quarantine duration. We thus determine the required ranges for these intervention parameters to yield effective control of the disease through both considerable delaying the epidemic peak and massively reducing the total number of sustained infections.
en
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Requirements for the containment of COVID-19 disease outbreaks through periodic testing, isolation, and quarantine
Article
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/d6d8b6c1-04eb-4531-b141-cdf98cb4ae91/download
File
MD5
fc78915ace7fa70b2379c2cd2d7d4b57
911646
application/pdf
2020.10.21.20217331v1.full.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/cd72d8ab-27dc-4879-975d-9e91f62acd04/download
File
MD5
9d61996cc93470dc72e0772548997fa7
45487
text/plain
2020.10.21.20217331v1.full.pdf.txt
oai:vtechworks.lib.vt.edu:10919/470552021-12-03T15:52:23Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Beattie, Christopher A.
author
Ruskai, Mary Beth
department
Mathematics
2014-04-09T18:12:21Z
2014-04-09T18:12:21Z
1988-10
Beattie, C.; Ruskai, M. B., "Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces," J. Math. Phys. 29, 2236 (1988); http://dx.doi.org/10.1063/1.528205
0022-2488
http://hdl.handle.net/10919/47055
http://scitation.aip.org/content/aip/journal/jmp/29/10/10.1063/1.528205
https://doi.org/10.1063/1.528205
A theorem is presented on the location of the essential spectrum of certain intermediate Hamiltonians used to construct lower bounds to boundāstate energies of multiparticle atomic and molecular systems. This result is an analog of the HunzikerāVan WinterāZhislin theorem for exact Hamiltonians, which implies that the continuum of an Nāelectron system begins at the groundāstate energy for the corresponding system with Nā1 electrons. The work presented here strengthens earlier results of Beattie [SIAM J. Math. Anal. 1 6, 492 (1985)] in that one may now consider Hamiltonians restricted to the symmetry subspaces appropriate to the permutational symmetry required by the Pauli exclusion principle, or to other physically relevant symmetry subspaces. The associated convergence theory is also given, guaranteeing that all boundāstate energies can be approximated from below with arbitrary accuracy.
en_US
In Copyright
subspaces
atomic spectra
molecular spectra
Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/5fd8b839-a8ce-4e48-8b71-796fcbc387cd/download
File
MD5
8422f367f5bfb52475ef278c539b5f77
589466
application/pdf
1.528205.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/082ddd0e-654e-4dff-a202-7aacf6664d27/download
File
MD5
500cab5fe2059c86b27665591e4328c3
25326
text/plain
1.528205.pdf.txt
oai:vtechworks.lib.vt.edu:10919/496312021-12-02T13:56:28Zcom_10919_23842com_10919_5553com_10919_24210col_10919_23843col_10919_24285
VTechWorks
author
Afkhami, Shahriar
author
Renardy, Yuriko Y.
author
Renardy, Michael J.
author
Riffle, Judy S.
author
St Pierre, T.
department
Chemistry
department
Mathematics
2014-07-21T15:49:37Z
2014-07-21T15:49:37Z
2008-09
Afkhami, S.; Renardy, Y.; Renardy, M.; Riffle, J. S.; St Pierre, T., "Field-induced motion of ferrofluid droplets through immiscible viscous media," J. Fluid Mech. (2008), 610, pp. 363-380. DOI: 10.1017/s0022112008002589
0022-1120
http://hdl.handle.net/10919/49631
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=2052236&fulltextType=RA&fileId=S0022112008002589
https://doi.org/10.1017/s0022112008002589
The motion of a hydrophobic ferrofluid droplet placed in a viscous medium and driven by an externally applied magnetic field is investigated numerically in an axisymmetric geometry. Initially, the drop is spherical and placed at a distance away from the magnet. The governing equations are the Maxwell equations for a non-conducting flow, momentum equation and incompressibility. A numerical algorithm is derived to model the interface between a magnetized fluid and a non-magnetic fluid via a volume-of-fluid framework. A continuum-surface-force formulation is used to model the interfacial tension force as a body force, and the placement of the liquids is tracked by a volume fraction function. Three cases are Studied. First, where inertia is dominant, the magnetic Laplace number Is varied while the Laplace number is fixed. Secondly, where inertial effects are negligible, the Laplace number is varied while the magnetic Laplace number is fixed. In the third case, the magnetic Bond number and inertial effects are both small, and the magnetic force is of the order of the viscous drag force. The time taken by the droplet to travel through the medium and the deformations in the drop are investigated and compared with a previous experimental study and accompanying simpler model. The transit times are found to compare more favourably than with the simpler model.
en_US
In Copyright
numerical-simulation
free-surface
flow
instability
tension
mechanics
physics, fluids & plasmas
Field-induced motion of ferrofluid droplets through immiscible viscous media
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/28c47ef3-a69f-4bc9-93e9-9f4ebba13236/download
File
MD5
82ead67154d23e40d7c263f1ea214b96
422329
application/pdf
S0022112008002589a.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/16e4f5dc-d7b2-4a23-9853-1c208ac2b7d3/download
File
MD5
39061fb6753c3656acacc0cf180f4955
40676
text/plain
S0022112008002589a.pdf.txt
oai:vtechworks.lib.vt.edu:10919/481452021-12-03T15:51:03Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Gugercin, Serkan
author
Antoulas, Athanasios C.
author
Beattie, Christopher A.
department
Mathematics
2014-05-28T18:35:05Z
2014-05-28T18:35:05Z
2008
Gugercin, S.; Antoulas, A. C.; Beattie, C., "H-2 model reduction for large-scale linear dynamical systems," SIAM. J. Matrix Anal. & Appl., 30(2), 609-638, (2008). DOI: 10.1137/060666123
0895-4798
http://hdl.handle.net/10919/48145
http://epubs.siam.org/doi/abs/10.1137/060666123
https://doi.org/10.1137/060666123
The optimal H<sub>2</sub> model reduction problem is of great importance in the area of dynamical systems and simulation. In the literature, two independent frameworks have evolved focusing either on solution of Lyapunov equations on the one hand or interpolation of transfer functions on the other, without any apparent connection between the two approaches. In this paper, we develop a new unifying framework for the optimal H<sub>2</sub> approximation problem using best approximation properties in the underlying Hilbert space. This new framework leads to a new set of local optimality conditions taking the form of a structured orthogonality condition. We show that the existing Lyapunov- and interpolation-based conditions are each equivalent to our conditions and so are equivalent to each other. Also, we provide a new elementary proof of the interpolation-based condition that clarifies the importance of the mirror images of the reduced system poles. Based on the interpolation framework, we describe an iteratively corrected rational Krylov algorithm for H<sub>2</sub> model reduction. The formulation is based on finding a reduced order model that satisfies interpolation-based first-order necessary conditions for H<sub>2</sub> optimality and results in a method that is numerically effective and suited for large-scale problems. We illustrate the performance of the method with a variety of numerical experiments and comparisons with existing methods.
en_US
In Copyright
model reduction
rational krylov
h-2 approximation
optimal projection equations
gradient algorithm
order reduction
approximation
mathematics, applied
H<sub>2</sub> model reduction for large-scale linear dynamical systems
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/0fbe4d4b-0257-427d-aeb5-2297dd6051f7/download
File
MD5
e0fef847d2822f10416684cb7f5d0eb7
397179
application/pdf
060666123.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/ccb7e82e-56a8-4d81-8004-1eebc6add901/download
File
MD5
a45a0969b15e74d762a64d65bb22fdcd
93876
text/plain
060666123.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1179502024-03-18T12:53:01Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Chekroun, Mickaƫl D.
author
Liu, Honghu
2024-02-12T18:26:47Z
2024-02-12T18:26:47Z
2024-04-01
0167-2789
https://hdl.handle.net/10919/117950
https://doi.org/10.1016/j.physd.2024.134058
460
Liu, Honghu [0000-0002-9226-0744]
Conceptual delay models have played a key role in the analysis and understanding of El NiƱo-Southern Oscillation (ENSO) variability. Based on such delay models, we propose in this work a novel scenario for the fabric of ENSO variability resulting from the subtle interplay between stochastic disturbances and nonlinear invariant sets emerging from bifurcations of the unperturbed dynamics. To identify these invariant sets we adopt an approach combining GalerkināKoornwinder (GK) approximations of delay differential equations and center-unstable manifold reduction techniques. In that respect, GK approximation formulas are reviewed and synthesized, as well as analytic approximation formulas of center-unstable manifolds. The reduced systems derived thereof enable us to conduct a thorough analysis of the bifurcations arising in a standard delay model of ENSO. We identify thereby a saddleānode bifurcation of periodic orbits co-existing with a subcritical Hopf bifurcation, and a homoclinic bifurcation for this model. We show furthermore that the computation of unstable periodic orbits (UPOs) unfolding through these bifurcations is considerably simplified from the reduced systems. These dynamical insights enable us in turn to design a stochastic model whose solutions ā as the delay parameter drifts slowly through its critical values ā produce a wealth of temporal patterns resembling ENSO events and exhibiting also decadal variability. Our analysis dissects the origin of this variability and shows how it is tied to certain transition paths between invariant sets of the unperturbed dynamics (for ENSO's interannual variability) or simply due to the presence of UPOs close to the homoclinic orbit (for decadal variability). In short, this study points out the role of solution paths evolving through tipping āpointsā beyond equilibria, as possible mechanisms organizing the variability of certain climate phenomena.
en
Creative Commons Attribution 4.0 International
Effective reduced models from delay differential equations: Bifurcations, tipping solution paths, and ENSO variability
Article - Refereed
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
URL
https://vtechworks.lib.vt.edu/bitstreams/83b5b08f-d52b-4bef-9ddd-703709a484a7/download
File
MD5
3c7c43e037c7554e95dbedcf165768d2
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application/pdf
Chekroun & Liu'24 Suarez_Schopf_paper [Physica D].pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/45d79e00-c258-4908-bb5a-5ca8f6f7d11a/download
File
MD5
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text/plain
Chekroun & Liu'24 Suarez_Schopf_paper [Physica D].pdf.txt
oai:vtechworks.lib.vt.edu:10919/1180542024-03-18T12:55:57Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Chen, L.
author
Gibney, A.
author
Heller, L.
author
Kalashnikov, E.
author
Larson, H.
author
Xu, W.
2024-02-19T20:09:39Z
2024-02-19T20:09:39Z
2022-08-16
1083-4362
https://hdl.handle.net/10919/118054
https://doi.org/10.1007/s00031-022-09752-6
Xu, Weihong [0000-0003-0990-5327]
1531-586X
We consider a conjecture that identifies two types of base point free divisors on M ĀÆ ,n. The first arises from Gromov-Witten theory of a Grassmannian. The second comes from first Chern classes of vector bundles associated with simple Lie algebras in type A. Here we reduce this conjecture on M ĀÆ ,n to the same statement for n = 4. A reinterpretation leads to a proof of the conjecture on M ĀÆ ,n for a large class, and we give sufficient conditions for the non-vanishing of these divisors.
en
Creative Commons Attribution 4.0 International
Moduli of curves
Coinvariants and conformal blocks
Affine Lie algebras
Gromov-Witten invariants
Enumerative problems
Schubert calculus
Grassmannians
On an Equivalence of Divisors on (M)over-bar(0,n) from Gromov-Witten Theory and Conformal Blocks
Article - Refereed
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
URL
https://vtechworks.lib.vt.edu/bitstreams/d44dd838-937c-4523-ad5d-8e757539ff8c/download
File
MD5
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application/pdf
s00031-022-09752-6-2.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/32b155f2-44c2-44ff-b28f-a7a7bdcb359e/download
File
MD5
889555329b7d9b1e41064248ab5e2519
77266
text/plain
s00031-022-09752-6-2.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1176372024-03-18T13:18:07Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Sun, Wenbo
2024-01-24T14:25:25Z
2024-01-24T14:25:25Z
2023
https://hdl.handle.net/10919/117637
Sun, Wenbo [0000-0003-3399-3937]
en
In Copyright
Spherical higher order Fourier analysis over finite fields IV: an application to the geometric Ramsey conjecture
Article
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
URL
https://vtechworks.lib.vt.edu/bitstreams/04d7a1a1-eecf-4ef1-a62b-36de2b3ed48d/download
File
MD5
b32cba90bab85ac93155632f4a759861
418005
application/pdf
part 4.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/7b2972be-9582-45b2-baf5-86e5cce1f49d/download
File
MD5
51b200d723ef6fd7fd99a23f7129a594
108811
text/plain
part 4.pdf.txt
oai:vtechworks.lib.vt.edu:10919/744312022-06-16T17:38:42Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Xie, X.
author
Wells, D.
author
Wang, Z.
author
Iliescu, Traian
department
Mathematics
2017-01-26T15:05:17Z
2017-01-26T15:05:17Z
2016-10-12
http://hdl.handle.net/10919/74431
This paper proposes a large eddy simulation reduced order model(LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper orthogonal decomposition(POD) is used to define the ROM basis and a POD differential filter is used to define the large ROM structures. An approximate deconvolution(AD) approach is used to solve the ROM closure problem and develop a new AD-ROM. This AD-ROM is tested in the numerical simulation of the one-dimensional Burgers equation with a small diffusion coefficient(10^{-3})
In Copyright
physics.flu-dyn
Approximate Deconvolution Reduced Order Modeling
Article
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/e3a93ab1-a52c-418d-b35f-872cd0869f8e/download
File
MD5
93e880e7859ab34b2905a04e25e316e6
913137
application/pdf
xie2016approximate.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/f4d0f391-ec30-4d30-9a2d-3e33a8acdd72/download
File
MD5
b1f3355a1095ae5480de3e7cb04b210c
75221
text/plain
xie2016approximate.pdf.txt
oai:vtechworks.lib.vt.edu:10919/470832022-01-05T19:36:39Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Greenberg, William
author
Sancaktar, Selim
department
Mathematics
2014-04-09T18:12:27Z
2014-04-09T18:12:27Z
1976-11
Greenberg, W.; Sancaktar, S., "Solution of multigroup transport equation in L<sup>p</sup> spaces," J. Math. Phys. 17, 2092 (1976); http://dx.doi.org/10.1063/1.522848
0022-2488
http://hdl.handle.net/10919/47083
http://scitation.aip.org/content/aip/journal/jmp/17/11/10.1063/1.522848
https://doi.org/10.1063/1.522848
The isotropic multigroup transport equation is solved in L p , p_1, for both half range and full range problems, using resolvent integration techniques. The connection between these techniques and a spectral decomposition of the transport operator is indicated.
en_US
In Copyright
Solution of multigroup transport equation in L<sup>p</sup> spaces
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/f15f51c2-7d3a-4cc9-bd59-d3784799a7ad/download
File
MD5
22d289884a6bfa1e0e769c5e171e7710
602184
application/pdf
1.522848.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/3ba8a490-0e33-49f0-ad94-6c5608e00052/download
File
MD5
ef12ffc50448f98d2297339fb29afd02
25668
text/plain
1.522848.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1131282023-01-12T08:15:15Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Malmendier, Andreas
author
Schultz, Michael T.
2023-01-11T16:55:18Z
2023-01-11T16:55:18Z
2022-01-01
1931-4523
http://hdl.handle.net/10919/113128
https://doi.org/10.4310/CNTP.2022.v16.n3.a2
16
3
1931-4531
We use the mixed-twist construction of Doran and Malmendier to obtain a multi-parameter family of K3 surfaces of Picard rank Ļ ā„ 16. Upon identifying a particular Jacobian elliptic fibration on its general member, we determine the lattice polarization and the Picard-Fuchs system for the family. We construct a sequence of restrictions that lead to extensions of the polarization by twoelementary lattices. We show that the Picard-Fuchs operators for the restricted families coincide with known resonant hypergeometric systems. Second, for the one-parameter mirror families of deformed Fermat hypersurfaces we show that the mixed-twist construction produces a non-resonant GKZ system for which a basis of solutions in the form of absolutely convergent Mellin-Barnes integrals exists whose monodromy we compute explicitly
en
In Copyright
On the mixed-twist construction and monodromy of associated Picard-Fuchs systems
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/cb0cf667-5adf-4925-be96-9a060dc0f8ba/download
File
MD5
729f5b6c44e21c01392fb57f2f40e141
578105
application/pdf
2108.06873.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/40291d96-f8ed-4eb4-960f-0f88d868e2ef/download
File
MD5
67d71bcfee06a7fd44ed0ce2ce6618d8
119174
text/plain
2108.06873.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1032402022-02-26T22:22:46Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Apkarian, Naneh
author
Henderson, Charles
author
Stains, Marilyne
author
Raker, Jeffrey R.
author
Johnson, Estrella
author
Dancy, Melissa H.
department
Mathematics
2021-05-11T12:12:33Z
2021-05-11T12:12:33Z
2021-02-25
1932-6203
e0247544
http://hdl.handle.net/10919/103240
https://doi.org/10.1371/journal.pone.0247544
16
2
33630945
Six common beliefs about the usage of active learning in introductory STEM courses are investigated using survey data from 3769 instructors. Three beliefs focus on contextual factors: class size, classroom setup, and teaching evaluations; three focus on individual factors: security of employment, research activity, and prior exposure. The analysis indicates that instructors in all situations can and do employ active learning in their courses. However, with the exception of security of employment, trends in the data are consistent with beliefs about the impact of these factors on usage of active learning. We discuss implications of these results for institutional and departmental policies to facilitate the use of active learning.
en
Creative Commons Attribution 4.0 International
What really impacts the use of active learning in undergraduate STEM education? Results from a national survey of chemistry, mathematics, and physics instructors
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/0fe0a047-9ece-4e68-990c-9b402ff5170b/download
File
MD5
1eb99f851de031464f9d680b092c5d04
1650270
application/pdf
journal.pone.0247544.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/7e636558-c5a3-4e4a-a89b-5330929fb301/download
File
MD5
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49202
text/plain
journal.pone.0247544.pdf.txt
oai:vtechworks.lib.vt.edu:10919/818652024-03-13T14:09:14Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Modave, A.
author
Atle, A.
author
Chan, J.
author
Warburton, T.
department
Mathematics
2018-01-19T12:54:31Z
2018-01-19T12:54:31Z
2017-12-14
0029-5981
http://hdl.handle.net/10919/81865
https://doi.org/10.1002/nme.5576
112
11
Warburton, T [0000-0002-3202-1151]
1097-0207
In Copyright
Technology
Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Engineering
Mathematics
absorbing boundary condition
discontinuous Galerkin
Finite element method
GPU computing
transient wave propagation
ACOUSTIC SCATTERING PROBLEMS
PERFECTLY MATCHED LAYER
WAVE-PROPAGATION
HETEROGENEOUS MEDIA
HIGH-FREQUENCY
ELASTIC-WAVES
DGTD METHOD
APPROXIMATIONS
SIMULATION
EQUATION
A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility
Article - Refereed
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oai:vtechworks.lib.vt.edu:10919/1178722024-02-06T14:40:35Zcom_10919_24217com_10919_5539com_10919_24210com_10919_5553com_10919_24262com_10919_5559col_10919_24292col_10919_24285col_10919_24344
VTechWorks
author
Lim, Tse Yang
author
Xu, Ran
author
Ruktanonchai, Nick
author
Saucedo, Omar
author
Childs, Lauren M.
author
Jalali, Mohammad S.
author
Rahmandad, Hazhir
author
Ghaffarzadegan, Navid
2024-02-06T17:55:58Z
2024-02-06T17:55:58Z
2023-12
https://hdl.handle.net/10919/117872
https://doi.org/10.1377/hlthaff.2023.00713
42
12
In the first two years of the COVID-19 pandemic, per capita mortality varied by more than a hundredfold across countries, despite most implementing similar nonpharmaceutical interventions. Factors such as policy stringency, gross domestic product, and age distribution explain only a small fraction of mortality variation. To address this puzzle, we built on a previously validated pandemic model in which perceived risk altered societal responses affecting SARS-CoV-2 transmission. Using data from more than 100 countries, we found that a key factor explaining heterogeneous death rates was not the policy responses themselves but rather variation in responsiveness. Responsiveness measures how sensitive communities are to evolving mortality risks and how readily they adopt nonpharmaceutical interventions in response, to curb transmission.We further found that responsiveness correlated with two cultural constructs across countries: uncertainty avoidance and power distance. Our findings show that more responsive adoption of similar policies saves many lives, with important implications for the design and implementation of responses to future outbreaks.
en
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Why Similar Policies Resulted In Different COVID-19 Outcomes: How Responsiveness And Culture Influenced Mortality Rates
Article - Refereed
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URL
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lim-et-al-2023.pdf
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oai:vtechworks.lib.vt.edu:10919/1182952024-03-07T12:02:05Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Sriskandasingam, Mayuran
author
Sun, Shu Ming
author
Zhang, Bing-yu Y.
2024-03-07T15:59:54Z
2024-03-07T15:59:54Z
2024
https://hdl.handle.net/10919/118295
en
In Copyright
General boundary value problems of a class of fifth order KdV equations on a bounded interval
Article
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URL
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fifth order kdv.pdf
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fifth order kdv.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1123672022-11-03T07:13:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Chan, Jesse
author
Ranocha, Hendrik
author
Rueda-Ramirez, Andres M.
author
Gassner, Gregor
author
Warburton, Tim
2022-11-02T17:37:57Z
2022-11-02T17:37:57Z
2022-07-01
2296-424X
898028
http://hdl.handle.net/10919/112367
https://doi.org/10.3389/fphy.2022.898028
10
High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variable-density flows with under-resolved features. We demonstrate numerically that entropy stable Discontinuous Galerkin (DG) methods which incorporate an "entropy projection" are less likely to require additional limiting to retain positivity for certain types of flows. We conclude by investigating potential explanations for this observed improvement in robustness.
en
Creative Commons Attribution 4.0 International
computational fluid dynamics
high order
discontinuous Galerkin (DG)
summation-by-parts (SBP)
entropy stability
robustness
On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/b0f45bdc-a2e1-4c18-aa1b-48720cb1762d/download
File
MD5
0129792129e74062faaf5b812bc76495
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fphy-10-898028.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/f9a2424b-de62-4227-a672-f970c06d1804/download
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fphy-10-898028.pdf.txt
oai:vtechworks.lib.vt.edu:10919/187992023-12-11T11:08:39Zcom_10919_8195com_10919_25799com_10919_25796com_10919_24210com_10919_5553col_10919_18629col_10919_25797col_10919_24285
VTechWorks
author
Hinkelmann, Franziska
author
Brandon, Madison
author
Guang, Bonny
author
McNeill, Rustin
author
Blekherman, Grigoriy
author
Veliz-Cuba, Alan
author
Laubenbacher, Reinhard C.
department
Mathematics
department
Fralin Life Sciences Institute
2012-08-24T11:01:27Z
2012-08-24T11:01:27Z
2011-07-20
BMC Bioinformatics. 2011 Jul 20;12(1):295
http://hdl.handle.net/10919/18799
https://doi.org/10.1186/1471-2105-12-295
Background
Many biological systems are modeled qualitatively with discrete models, such as probabilistic Boolean networks, logical models, Petri nets, and agent-based models, to gain a better understanding of them. The computational complexity to analyze the complete dynamics of these models grows exponentially in the number of variables, which impedes working with complex models. There exist software tools to analyze discrete models, but they either lack the algorithmic functionality to analyze complex models deterministically or they are inaccessible to many users as they require understanding the underlying algorithm and implementation, do not have a graphical user interface, or are hard to install. Efficient analysis methods that are accessible to modelers and easy to use are needed.
Results
We propose a method for efficiently identifying attractors and introduce the web-based tool Analysis of Dynamic Algebraic Models (ADAM), which provides this and other analysis methods for discrete models. ADAM converts several discrete model types automatically into polynomial dynamical systems and analyzes their dynamics using tools from computer algebra. Specifically, we propose a method to identify attractors of a discrete model that is equivalent to solving a system of polynomial equations, a long-studied problem in computer algebra. Based on extensive experimentation with both discrete models arising in systems biology and randomly generated networks, we found that the algebraic algorithms presented in this manuscript are fast for systems with the structure maintained by most biological systems, namely sparseness and robustness. For a large set of published complex discrete models, ADAM identified the attractors in less than one second.
Conclusions
Discrete modeling techniques are a useful tool for analyzing complex biological systems and there is a need in the biological community for accessible efficient analysis tools. ADAM provides analysis methods based on mathematical algorithms as a web-based tool for several different input formats, and it makes analysis of complex models accessible to a larger community, as it is platform independent as a web-service and does not require understanding of the underlying mathematics.
en
Creative Commons Attribution 4.0 International
ADAM: Analysis of Discrete Models of Biological Systems Using Computer Algebra
Article - Refereed
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URL
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1471-2105-12-295.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1044162021-07-28T07:30:11Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Jahromi Shirazi, Masoud
author
Abaid, Nicole
department
Mathematics
2021-07-27T19:10:51Z
2021-07-27T19:10:51Z
2021-05-22
1751-8784
http://hdl.handle.net/10919/104416
https://doi.org/10.1049/rsn2.12093
1751-8792
Among so-called active sensors that use self-generated signals, sonar sensors are more challenging to implement than lidar and radar due in part to their limited angular field of sensing. A common solution to this challenge is scanning sensors that sweep an angular range with successive measurements. However, scanning sensors are particularly problematic for sonar because of the relatively slow sound speed and the inertia of the sonar head. Studies of bat behaviour suggest that bats may eavesdrop on their conspecifics during group flight. In other words, they fuse information gathered by their own active sonar with information they receive by passively listening to peers. Because bats are extremely skilled in using sonar, this behaviour inspired an investigation into whether fusing active and passive sonar can be a solution to the challenges of implementing sonar sensors. A model of fused sensing is defined, and a numerical simulation is used to answer this question on the test bed problem of simultaneous localization and mapping (SLAM). The simulation results show that when the angular range of active sonar and associated noise is relatively small, the robot's performance in solving SLAM is improved.
en
Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International
Eavesdropping like a bat: Towards fusing active and passive sonar for a case study in simultaneous localization and mapping
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/6665925f-3d10-41d5-849d-837f0424a080/download
File
MD5
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rsn2.12093.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/189a0cd9-e917-42a0-80ef-9789b8a0c434/download
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MD5
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rsn2.12093.pdf.txt
oai:vtechworks.lib.vt.edu:10919/470352023-04-14T12:27:05Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Clemence, D. P.
author
Klaus, Martin
department
Mathematics
2014-04-09T18:12:17Z
2014-04-09T18:12:17Z
1994-07
Clemence, D. P.; Klaus, M., "Continuity of the S matrix for the perturbed Hill's equation," J. Math. Phys. 35, 3285 (1994); http://dx.doi.org/10.1063/1.530467
0022-2488
http://hdl.handle.net/10919/47035
http://scitation.aip.org/content/aip/journal/jmp/35/7/10.1063/1.530467
https://doi.org/10.1063/1.530467
The behavior of the scattering matrix associated with the perturbed Hill's equation as the spectral parameter approaches an endpoint of a spectral band is studied. In particular, the continuity of the scattering matrix at the band edges is proven and explicit expressions for the transmission and reflection coefficients at those points are derived. All possible cases are discussed and our fall-off assumptions on the perturbation are weaker than those made by other authors.
en_US
In Copyright
scattering
line
Continuity of the S matrix for the perturbed Hill's equation
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/6910f493-09da-4bb1-a7ad-f4d1740aa2f8/download
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MD5
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1.530467.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/8ed141c5-0916-482b-b1a2-2c8bd11d1347/download
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1.530467.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1130182023-01-05T08:13:16Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Mozolyako, Pavel
author
Psaromiligkos, Georgios
author
Volberg, Alexander
author
Zorin-Kranich, Pavel
2023-01-04T14:30:39Z
2023-01-04T14:30:39Z
2022-12-22
0213-2230
http://hdl.handle.net/10919/113018
https://doi.org/10.4171/rmi/1378
38
7
Psaromiligkos, Georgios [0000-0002-1761-9200]
We prove a multi-parameter dyadic embedding theorem for the Hardy operator on the multi-tree. We also show that for a large class of Dirichlet spaces in the bi-disc and the tri-disc, this proves the embedding theorem of those Dirichlet spaces of holomorphic functions on the bi- and tri-disc. We completely describe the Carleson measures for such embeddings. The result below generalizes the embedding result of Arcozzi et al. from the bi-tree to the tri-tree and from the CarlesonāChang condition to the Carleson box condition. One of our embedding descriptions is similar to the CarlesonāChangāFefferman condition, and involves dyadic open sets. On the other hand, the unusual feature is that the embedding on the bi-tree and the tritree turns out to be equivalent to the one box Carleson condition. This is in striking difference to works of ChangāFefferman and the well-known Carleson quilt counterexample. Finally, we explain the obstacle that prevents us from proving our results on poly-discs of dimension four and higher.
en
Creative Commons Attribution 4.0 International
Carleson embedding on the tri-tree and on the tri-disc
Article - Refereed
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8736470-10.4171-rmi-1378-print.pdf.txt
oai:vtechworks.lib.vt.edu:10919/734232024-03-13T14:09:59Zcom_10919_5com_10919_25799com_10919_8195com_10919_23829com_10919_5553com_10919_19035com_10919_5539com_10919_25796com_10919_24210col_10919_70873col_10919_18629col_10919_23830col_10919_24290col_10919_25797col_10919_24285
VTechWorks
author
Palmisano, Alida
author
Hoops, Stefan
author
Watson, Layne T.
author
Jones, Thomas C, Jr.
author
Tyson, John J.
author
Shaffer, Clifford A.
department
Biological Sciences
department
Computer Science
department
Mathematics
department
Fralin Life Sciences Institute
2016-11-11T19:32:56Z
2016-11-11T19:32:56Z
2014-04-04
BMC Systems Biology. 2014 Apr 04;8(1):42
1752-0509
http://hdl.handle.net/10919/73423
https://doi.org/10.1186/1752-0509-8-42
8
Background
Building models of molecular regulatory networks is challenging not just because of the intrinsic difficulty of describing complex biological processes. Writing a model is a creative effort that calls for more flexibility and interactive support than offered by many of todayās biochemical model editors. Our model editor MSMB -- Multistate Model Builder -- supports multistate models created using different modeling styles.
Results
MSMB provides two separate advances on existing network model editors. (1) A simple but powerful syntax is used to describe multistate species. This reduces the number of reactions needed to represent certain molecular systems, thereby reducing the complexity of model creation. (2) Extensive feedback is given during all stages of the model creation process on the existing state of the model. Users may activate error notifications of varying stringency on the fly, and use these messages as a guide toward a consistent, syntactically correct model. MSMB default values and behavior during model manipulation (e.g., when renaming or deleting an element) can be adapted to suit the modeler, thus supporting creativity rather than interfering with it. MSMBās internal model representation allows saving a model with errors and inconsistencies (e.g., an undefined function argument; a syntactically malformed reaction). A consistent model can be exported to SBML or COPASI formats. We show the effectiveness of MSMBās multistate syntax through models of the cell cycle and mRNA transcription.
Conclusions
Using multistate reactions reduces the number of reactions need to encode many biochemical network models. This reduces the cognitive load for a given model, thereby making it easier for modelers to build more complex models. The many interactive editing support features provided by MSMB make it easier for modelers to create syntactically valid models, thus speeding model creation. Complete information and the installation package can be found at http://www.copasi.org/SoftwareProjects. MSMB is based on Java and the COPASI API.
en
Creative Commons Attribution 4.0 International
Mathematical & Computational Biology
Systems biology
Biological networks
Mathematical modeling
Chemical reaction systems
COPASI
SBML
Software
Model editor
Multistate
NETWORKS
SOFTWARE
Multistate Model Builder (MSMB): a flexible editor for compact biochemical models
Article - Refereed
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Multistate Model Builder (MSMB): a flexible editor for compact biochemical models.pdf
URL
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Multistate Model Builder (MSMB): a flexible editor for compact biochemical models.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1001662020-10-22T03:36:00Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Wawro, Megan
author
Watson, Kevin
author
Christensen, Warren
department
Mathematics
2020-10-05T13:49:40Z
2020-10-05T13:49:40Z
2020-08-25
2469-9896
20112
http://hdl.handle.net/10919/100166
https://doi.org/10.1103/PhysRevPhysEducRes.16.020112
16
2
This article shares analysis regarding quantum mechanics students' metarepresentational competence (MRC) that is expressed as they engaged in solving an expectation value problem, which involves linear algebra concepts. The particular characteristic of MRC that is the focus of this analysis is students' critiquing and comparing the adequacy of representations, specifically matrix notation and Dirac notation, and judging their suitability for various tasks. With data of students' work during semistructured individual interviews, components of students' MRC were analyzed and categorized according to value-based preferences, problem-based preferences, and purpose and utility awareness. Detail is provided on two students who serve as paradigmatic examples of students' power and flexibility within different notation systems, and detail of a third student is given as a point of contrast. In addition to adapting MRC as a helpful construct for characterizing student understanding at the intersection of undergraduate mathematics and physics, we aim to demonstrate how students' rich understanding of linear algebra and quantum mechanics includes and is aided by their understanding and flexible use of different notational systems. For example, the problem-based preference aspects of MRC highlight that any particular problem-solving approach is itself intrinsically tied to a notational system. We suggest that any instruction with the goal of helping students develop a deep understanding of quantum mechanics and linear algebra should provide opportunities for students to use and improve their MRC.
en
Creative Commons Attribution 4.0 International
Students' metarepresentational competence with matrix notation and Dirac notation in quantum mechanics
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/d67b1bad-a466-48f8-a648-54616beca604/download
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PhysRevPhysEducRes.16.020112.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/faed2c8d-dff1-404b-9a46-314dec4a2626/download
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PhysRevPhysEducRes.16.020112.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1017732022-02-26T22:22:46Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Barnes, Will T.
author
Bobra, Monica G.
author
Christe, Steven D.
author
Freij, Nabil
author
Hayes, Laura A.
author
Ireland, Jack
author
Mumford, Stuart J.
author
Perez-Suarez, David
author
Ryan, Daniel F.
author
Shih, Albert Y.
author
Chanda, Prateek
author
Glogowski, Kolja
author
Hewett, Russell J.
author
Hughitt, V. Keith
author
Hill, Andrew
author
Hiware, Kaustubh
author
Inglis, Andrew
author
Kirk, Michael S. F.
author
Konge, Sudarshan
author
Mason, James Paul
author
Maloney, Shane Anthony
author
Murray, Sophie A.
author
Panda, Asish
author
Park, Jongyeob
author
Pereira, Tiago M. D.
author
Reardon, Kevin
author
Savage, Sabrina
author
Sipocz, Brigitta M.
author
Stansby, David
author
Jain, Yash
author
Taylor, Garrison
author
Yadav, Tannmay
author
Rajul
author
Dang, Trung Kien
department
Mathematics
2021-01-07T18:13:53Z
2021-01-07T18:13:53Z
2020-02-12
0004-637X
68
http://hdl.handle.net/10919/101773
https://doi.org/10.3847/1538-4357/ab4f7a
890
1
1538-4357
The goal of the SunPy project is to facilitate and promote the use and development of community-led, free, and open source data analysis software for solar physics based on the scientific Python environment. The project achieves this goal by developing and maintaining the sunpy core package and supporting an ecosystem of affiliated packages. This paper describes the first official stable release (version 1.0) of the core package, as well as the project organization and infrastructure. This paper concludes with a discussion of the future of the SunPy project.
en
Creative Commons Attribution 3.0 International
The Sun
The SunPy Project: Open Source Development and Status of the Version 1.0 Core Package
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/b5b11e13-e73c-417d-b28a-4d568166b630/download
File
MD5
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application/pdf
The_SunPy_Community_2020_ApJ_890_68.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/32332589-14ab-453d-ae07-f38894ec3a5b/download
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MD5
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66298
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The_SunPy_Community_2020_ApJ_890_68.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1145912023-04-21T07:12:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Saucedo, Omar
author
Tien, Joseph H.
2023-04-20T13:11:36Z
2023-04-20T13:11:36Z
2022-12
http://hdl.handle.net/10919/114591
https://doi.org/10.1016/j.idm.2022.10.006
7
4
36439402
2468-0427
We examine how spatial heterogeneity combines with mobility network structure to in-fluence vector-borne disease dynamics. Specifically, we consider a Ross-Macdonald-type disease model on n spatial locations that are coupled by host movement on a strongly connected, weighted, directed graph. We derive a closed form approximation to the domain reproduction number using a Laurent series expansion, and use this approxima-tion to compute sensitivities of the basic reproduction number to model parameters. To illustrate how these results can be used to help inform mitigation strategies, as a case study we apply these results to malaria dynamics in Namibia, using published cell phone data and estimates for local disease transmission. Our analytical results are particularly useful for understanding drivers of transmission when mobility sinks and transmission hot spots do not coincide.(c) 2022 The Authors. Publishing services by Elsevier B.V. on behalf of KeAi Communications Co. Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
en
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Human movement
Vector-borne disease
Spatial networks
Reproduction number
Laurent series
Host movement, transmission hot spots, and vector-borne disease dynamics on spatial networks
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/00ce10df-f88c-491d-a85f-b1ca5330731d/download
File
MD5
e69bcb54124e3ad7ebdc54fbc5b6c80f
1927184
application/pdf
1-s2.0-S2468042722000835-main.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/ba84cfb7-9ad8-4780-b830-f880a3aabaef/download
File
MD5
e027c3a1eff685f2242a061eb7455c7b
75172
text/plain
1-s2.0-S2468042722000835-main.pdf.txt
oai:vtechworks.lib.vt.edu:10919/476672021-12-02T13:36:30Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Renardy, Yuriko Y.
department
Mathematics
2014-04-24T18:34:21Z
2014-04-24T18:34:21Z
1987-06
Renardy, Y., "The thin-layer effect and interfacial stability in a two-layer Couette flow with similar liquids," Phys. Fluids 30, 1627 (1987); http://dx.doi.org/10.1063/1.866227
1070-6631
http://hdl.handle.net/10919/47667
http://scitation.aip.org/content/aip/journal/pof1/30/6/10.1063/1.866227
https://doi.org/10.1063/1.866227
The linear stability of Couette flow composed of two layers of immiscible fluids, one lying on top of the other, is considered for the special case when the two fluids have similar mechanical properties. The interfacial eigenvalue is found in closed form by considering the twoāfluid problem as a perturbation of the oneāfluid problem. The importance of the role played by the viscosity difference, when one of the fluids is in a thin layer, is illustrated.
en_US
In Copyright
The thin-layer effect and interfacial stability in a two-layer Couette flow with similar liquids
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/eafbe060-acf2-4595-b75d-d3216c71abc6/download
File
MD5
dd759e2c962113cf06a7bf288bb861e0
1259439
application/pdf
1.866227.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/8d6f8b2a-4ebe-4c25-b326-a45e51854c3f/download
File
MD5
37a4d27070825031b65f0a8c11f0977c
3635
text/plain
1.866227.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1115332023-11-29T15:23:11Zcom_10919_5com_10919_25799com_10919_18738com_10919_5539com_10919_24217com_10919_24210com_10919_5553com_10919_110083col_10919_70873col_10919_23145col_10919_24292col_10919_24285col_10919_110084
VTechWorks
author
Williams, Ryan K.
author
Abaid, Nicole
author
McClure, James
author
Lau, Nathan
author
Heintzman, Larkin
author
Hashimoto, Amanda
author
Wang, Tianzi
author
Patnayak, Chinmaya
author
Kumar, Akshay
2022-08-16T15:10:10Z
2022-08-16T15:10:10Z
2022-04-30
http://hdl.handle.net/10919/111533
Lau, Nathan [0000-0003-2235-9527]
Robots such as unmanned aerial vehicles (UAVs) deployed for search and rescue (SAR) can explore areas where human searchers cannot easily go and gather information on scales that can transform SAR strategy. Multi-UAV teams therefore have the potential to transform SAR by augmenting the capabilities of human teams and providing information that would otherwise be inaccessible. Our research aims to develop new theory and technologies for field deploying autonomous UAVs and managing multi-UAV teams working in concert with multi-human teams for SAR. Specifically, in this paper we summarize our work in progress towards these goals, including: (1) a multi-UAV search path planner that adapts to human behavior; (2) an in-field distributed computing prototype that supports multi-UAV computation and communication; (3) behavioral modeling that yields spatially localized predictions of lost person location; and (4) an interface between human searchers and UAVs that facilitates human-UAV interaction over a wide range of autonomy.
en
In Copyright
Collaborative Multi-Robot Multi-Human Teams in Search and Rescue
Conference proceeding
URL
https://vtechworks.lib.vt.edu/bitstreams/ede62f82-401d-4f40-8b9b-5b6b79c9605f/download
File
MD5
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application/pdf
Williams_et2020_ISCRAM_overview.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/e043a616-1e14-4358-9e24-584f119f1259/download
File
MD5
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Williams_et2020_ISCRAM_overview.pdf.txt
oai:vtechworks.lib.vt.edu:10919/481542021-12-03T15:44:15Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Ahuja, Kapil
author
de Sturler, Eric
author
Gugercin, Serkan
author
Chang, Eun R.
department
Mathematics
2014-05-28T18:35:08Z
2014-05-28T18:35:08Z
2012
Ahuja, K.; de Sturler, E.; Gugercin, S.; Chang, E. R., "Recycling BICG with an application to model reduction," SIAM J. Sci. Comput., 34(4), A1925-A1949, (2012). DOI: 10.1137/100801500
1064-8275
http://hdl.handle.net/10919/48154
http://epubs.siam.org/doi/abs/10.1137/100801500
https://doi.org/10.1137/100801500
Science and engineering problems frequently require solving a sequence of dual linear systems. Besides having to store only a few Lanczos vectors, using the biconjugate gradient method (BiCG) to solve dual linear systems has advantages for specific applications. For example, using BiCG to solve the dual linear systems arising in interpolatory model reduction provides a backward error formulation in the model reduction framework. Using BiCG to evaluate bilinear forms-for example, in quantum Monte Carlo (QMC) methods for electronic structure calculations-leads to a quadratic error bound. Since our focus is on sequences of dual linear systems, we introduce recycling BiCG, a BiCG method that recycles two Krylov subspaces from one pair of dual linear systems to the next pair. The derivation of recycling BiCG also builds the foundation for developing recycling variants of other bi-Lanczos based methods, such as CGS, BiCGSTAB, QMR, and TFQMR. We develop an augmented bi-Lanczos algorithm and a modified two-term recurrence to include recycling in the iteration. The recycle spaces are approximate left and right invariant subspaces corresponding to the eigenvalues closest to the origin. These recycle spaces are found by solving a small generalized eigenvalue problem alongside the dual linear systems being solved in the sequence. We test our algorithm in two application areas. First, we solve a discretized partial differential equation (PDE) of convection-diffusion type. Such a problem provides well-known test cases that are easy to test and analyze further. Second, we use recycling BiCG in the iterative rational Krylov algorithm (IRKA) for interpolatory model reduction. IRKA requires solving sequences of slowly changing dual linear systems. We analyze the generated recycle spaces and show up to 70% savings in iterations. For our model reduction test problem, we show that solving the problem without recycling leads to (about) a 50% increase in runtime.
en_US
In Copyright
krylov subspace recycling
deflation
bi-lanczos method
petrov-galerkin
formulation
bicg
model reduction
rational krylov
h-2 approximation
nonsymmetric linear-systems
minimal residual algorithm
krylov
subspaces
dynamical-systems
approximation
gmres
tomography
strategies
families
mathematics, applied
Recycling BICG with an application to model reduction
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/a83d7f6b-961a-4de8-a80a-54d67c5a7e48/download
File
MD5
babca864e349edd375e7d1d0399c7d6d
398110
application/pdf
100801500.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/07cc2aa0-e0ae-4de6-bd57-3b8a0616de67/download
File
MD5
089c33068a4b494d25184de78c177a69
85203
text/plain
100801500.pdf.txt
oai:vtechworks.lib.vt.edu:10919/470252023-04-14T12:27:05Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Aktosun, T.
author
Klaus, Martin
department
Mathematics
2014-04-09T18:12:15Z
2014-04-09T18:12:15Z
1999-08
Aktosun, T.; Klaus, M., "Asymptotics of the scattering coefficients for a generalized Schrƶdinger equation," J. Math. Phys. 40, 3701 (1999); http://dx.doi.org/10.1063/1.532920
0022-2488
http://hdl.handle.net/10919/47025
http://scitation.aip.org/content/aip/journal/jmp/40/8/10.1063/1.532920
https://doi.org/10.1063/1.532920
The generalized Schrodinger equation d(2)psi/dx(2) + F(k)psi=[ikP(x) + Q(x)]psi is considered, where P and Q are integrable potentials with finite first moments and F satisfies certain conditions. The behavior of the scattering coefficients near zeros of F is analyzed. It is shown that in the so-called exceptional case, the values of the scattering coefficients at a zero of F may be affected by P(x). The location of the k-values in the complex plane where the exceptional case can occur is studied. Some examples are provided to illustrate the theory. (C) 1999 American Institute of Physics. [S0022-2488(99)03007-8].
en_US
In Copyright
riemann-hilbert problem
inverse scattering
wave scattering
energy
line
Asymptotics of the scattering coefficients for a generalized Schrƶdinger equation
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/eec3a919-5a57-48ec-89c2-146ffaf77f1d/download
File
MD5
456bffc0bbe6993b836db296f3881d59
307626
application/pdf
1.532920.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/a8e73899-2d28-4af2-9519-49e615347485/download
File
MD5
40229052e51fe73167c7125d4e580f47
26306
text/plain
1.532920.pdf.txt
oai:vtechworks.lib.vt.edu:10919/481502020-10-29T05:01:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Jin, Q. N.
department
Mathematics
2014-05-28T18:35:06Z
2014-05-28T18:35:06Z
2011
Jin, Q. N., "A general convergence analysis of some Newton-type methods for nonlinear inverse problems," SIAM J. Numer. Anal., 49(2), 549-573, (2011). DOI: 10.1137/100804231
0036-1429
http://hdl.handle.net/10919/48150
http://epubs.siam.org/doi/abs/10.1137/100804231
https://doi.org/10.1137/100804231
We consider the methods x(n+1)(delta) - x(n)(delta) - g(alpha n) (F'(x(n)(delta))* F'(x(n)(delta)))F'(x(n)(delta))*(F(x(n)(delta)) - y(delta)) for solving nonlinear ill-posed inverse problems F(x) = y using the only available noise data y(delta) satisfying parallel to y(delta) - y parallel to <= delta with a given small noise level delta > 0. We terminate the iteration by the discrepancy principle parallel to F(x(n delta)(delta))-y(delta)parallel to <= tau delta < parallel to F(x(n)(delta))-y(delta)parallel to, 0 <= n < n(delta), with a given number tau > 1. Under certain conditions on {alpha(n)} and F, we prove for a large class of spectral filter functions {g(alpha)} the convergence of x(n delta)(delta) to a true solution as delta -> 0. Moreover, we derive the order optimal rates of convergence when certain Holder source conditions hold. Numerical examples are given to test the theoretical results.
en_US
In Copyright
nonlinear inverse problems
newton-type methods
discrepancy principle
convergence
order optimal convergence rates
levenberg-marquardt scheme
ill-posed problems
mathematics, applied
A general convergence analysis of some Newton-type methods for nonlinear inverse problems
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/891f1b23-35b7-4a7b-a34f-434f0e3a6306/download
File
MD5
a7f928499d1ccf6be08378e303508d4c
320085
application/pdf
100804231.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/33ccbd08-22b5-4629-a60a-114cece6db6e/download
File
MD5
c978010e885bc7ccbaf47977a78606b9
66629
text/plain
100804231.pdf.txt
oai:vtechworks.lib.vt.edu:10919/805662023-11-29T19:09:44Zcom_10919_8195com_10919_25799com_10919_5540com_10919_24210com_10919_5553col_10919_78882col_10919_71752col_10919_24285
VTechWorks
author
Vasta, Robert
author
Crandell, Ian
author
Millican, Anthony J.
author
House, Leanna L.
author
Smith, Eric
department
Mathematics
2017-11-29T20:22:10Z
2017-11-29T20:22:10Z
2017-10-13
Vasta, R.; Crandell, I.; Millican, A.; House, L.; Smith, E. Outlier Detection for Sensor Systems (ODSS): A MATLAB Macro for Evaluating Microphone Sensor Data Quality. Sensors 2017, 17, 2329.
http://hdl.handle.net/10919/80566
https://doi.org/10.3390/s17102329
Microphone sensor systems provide information that may be used for a variety of applications. Such systems generate large amounts of data. One concern is with microphone failure and unusual values that may be generated as part of the information collection process. This paper describes methods and a MATLAB graphical interface that provides rapid evaluation of microphone performance and identifies irregularities. The approach and interface are described. An application to a microphone array used in a wind tunnel is used to illustrate the methodology.
en
Creative Commons Attribution 4.0 International
outliers
anomalies
acoustic arrays
analytics
Outlier Detection for Sensor Systems (ODSS): A MATLAB Macro for Evaluating Microphone Sensor Data Quality
Article - Refereed
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URL
https://vtechworks.lib.vt.edu/bitstreams/237d8848-d65f-4234-8cdc-5292b9478e0d/download
File
MD5
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sensors-17-02329.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/1179b617-e03e-4353-8c98-64d1bf76d6fb/download
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sensors-17-02329.pdf.txt
oai:vtechworks.lib.vt.edu:10919/481342020-10-29T05:01:48Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Russell, David L.
author
White, Luther W.
department
Mathematics
2014-05-28T18:35:01Z
2014-05-28T18:35:01Z
2002-04
Russell, D. L.; White, L. W., "An elementary nonlinear beam theory with finite buckling deformation properties," SIAM J. Appl. Math., 62(4), 1394-1413, (2002). DOI: 10.1137/050634268
0036-1399
http://hdl.handle.net/10919/48134
http://epubs.siam.org/doi/abs/10.1137/S0036139996309138
https://doi.org/10.1137/s0036139996309138
A simple nonlinear beam model is derived from basic principles. The assumption upon which the derivation is based is that axial motions are of second order compared with transverse motions of the beam. The existence of solutions is established. Issues concerning the uniqueness and nonuniqueness of solutions are examined with regard to buckling behavior. The numerical treatment of problems with nonunique solutions is presented. The results of buckling calculations are presented.
en_US
In Copyright
elastic beam
nonlinear beam
buckling
ordinary differential equations
elasticity
mathematics, applied
An elementary nonlinear beam theory with finite buckling deformation properties
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/0a3b71f7-3e2c-4f64-808d-55e591ce2b23/download
File
MD5
d3970690a5375636a01deae3bc37e05c
260764
application/pdf
s0036139996309138.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/5b21f1e3-e393-41d1-924b-b8afab7d1d76/download
File
MD5
1bc9d10123f2438a95fa92f5eb538f3a
39410
text/plain
s0036139996309138.pdf.txt
oai:vtechworks.lib.vt.edu:10919/481482021-12-03T16:36:53Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Chaturantabut, Saifon
author
Sorensen, D. C.
department
Mathematics
2014-05-28T18:35:06Z
2014-05-28T18:35:06Z
2012
Chaturantabut, S.; Sorensen, D. C., "A state space error estimate for pod-deim nonlinear model reduction," SIAM J. Numer. Anal., 50(1), 46-63, (2012). DOI: 10.1137/110822724
0036-1429
http://hdl.handle.net/10919/48148
http://epubs.siam.org/doi/abs/10.1137/110822724
https://doi.org/10.1137/110822724
This paper derives state space error bounds for the solutions of reduced systems constructed using proper orthogonal decomposition (POD) together with the discrete empirical interpolation method (DEIM) recently developed for nonlinear dynamical systems [SIAM J. Sci. Comput., 32 (2010), pp. 2737-2764]. The resulting error estimates are shown to be proportional to the sums of the singular values corresponding to neglected POD basis vectors both in Galerkin projection of the reduced system and in the DEIM approximation of the nonlinear term. The analysis is particularly relevant to ODE systems arising from spatial discretizations of parabolic PDEs. The derivation clearly identifies where the parabolicity is crucial. It also explains how the DEIM approximation error involving the nonlinear term comes into play.
en_US
In Copyright
nonlinear model reduction
proper orthogonal decomposition
empirical
interpolation methods
nonlinear partial differential equations
proper orthogonal decomposition
partial-differential-equations
empirical interpolation method
reduced-order models
dynamical-systems
bounds
adaptivity
operators
mathematics, applied
A state space error estimate for pod-deim nonlinear model reduction
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/ed7dfb5c-e5b8-412e-88bf-9c376be92b73/download
File
MD5
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application/pdf
110822724.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/61051a78-4abd-4ea5-ab45-69c06525e11c/download
File
MD5
6ef94056a0bc441917d7f52fa6ca773f
62133
text/plain
110822724.pdf.txt
oai:vtechworks.lib.vt.edu:10919/253592021-12-02T13:19:37Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Du, Q.
author
Gunzburger, Max D.
author
Peterson, Janet S.
department
Mathematics
2014-02-11T13:45:53Z
2014-02-11T13:45:53Z
1995-06-15
Du, Q ; Gunsburger, MD ; Peterson, JS, Jun 15, 1995. "Computational simulation of type-II superconductivity including pinning phenomena," PHYSICAL REVIEW B 51(22): 16194-16203. DOI: 10.1103/PhysRevB.51.16194
0163-1829
http://hdl.handle.net/10919/25359
http://link.aps.org/doi/10.1103/PhysRevB.51.16194
https://doi.org/10.1103/PhysRevB.51.16194
A flexible tool, based on the finite-element method, for the computational simulation of vortex phenomena in type-II superconductors has been developed. These simulations use refined or newly developed phenomenological models including a time-dependent Ginzburg-Landau model, a variable-thickness thin-film model, simplified models valid for high values of the Ginzburg-Landau parameter, models that account for normal inclusions and Josephson effects, and the Lawrence-Doniach model for layered superconductors. Here, sample results are provided for the case of constant applied magnetic fields. Included in the results are cases of flux pinning by impurities and by thin regions in films.
en_US
In Copyright
critical-field
model
Physics
Computational simulation of type-II superconductivity including pinning phenomena
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/b487b1ab-c94d-4aeb-9bf4-ed9554d54703/download
File
MD5
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application/pdf
PhysRevB.51.16194.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/b5fa9824-9874-472d-ac1a-c28dbc63a774/download
File
MD5
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36803
text/plain
PhysRevB.51.16194.pdf.txt
oai:vtechworks.lib.vt.edu:10919/481572021-12-03T15:41:00Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
de Sturler, Eric
author
Kilmer, Misha E.
department
Mathematics
2014-05-28T18:35:09Z
2014-05-28T18:35:09Z
2011
de Sturler, E.; Kilmer, M. E., "A regularized Gauss-Newton trust region approach to imaging in diffuse optical tomography," SIAM J. Sci. Comput., 33(5), 3057-3086, (2011). DOI: 10.1137/100798181
1064-8275
http://hdl.handle.net/10919/48157
http://epubs.siam.org/doi/abs/10.1137/100798181
https://doi.org/10.1137/100798181
We present a new algorithm for the solution of nonlinear least squares problems arising from parameterized imaging problems with diffuse optical tomographic data [D. Boas et al., IEEE Signal Process. Mag., 18 (2001), pp. 57-75]. The parameterization arises from the use of parametric level sets for regularization [M.E. Kilmer et al., Proc. SPIE, 5559 (2004), pp. 381-391], [A. Aghasi, M.E. Kilmer, and E.L. Miller, SIAM J. Imaging Sci., 4 (2011), pp. 618-650]. Such problems lead to Jacobians that have relatively few columns, a relatively modest number of rows, and are ill-conditioned. Moreover, such problems have function and Jacobian evaluations that are computationally expensive. Our optimization algorithm is appropriate for any inverse or imaging problem with those characteristics. In fact, we expect our algorithm to be effective for more general problems with ill-conditioned Jacobians. The algorithm aims to minimize the total number of function and Jacobian evaluations by analyzing which spectral components of the Gauss-Newton direction should be discarded or damped. The analysis considers for each component the reduction of the objective function and the contribution to the search direction, restricting the computed search direction to be within a trust region. The result is a truncated SVD-like approach to choosing the search direction. However, we do not necessarily discard components in order of decreasing singular value, and some components may be scaled to maintain fidelity to the trust region model. Our algorithm uses the Basic Trust Region Algorithm from [A.R. Conn, N.I.M. Gould, and Ph. L. Toint, Trust-Region Methods, SIAM, Philadelphia, 2000]. We prove that our algorithm is globally convergent to a critical point. Our numerical results show that the new algorithm generally outperforms competing methods applied to the DOT imaging problem with parametric level sets, and regularly does so by a significant factor.
en_US
In Copyright
nonlinear least squares
gauss-newton
levenberg-marquardt
optimization
regularization
diffuse optical tomography
ill-posed problems
level set methods
parameter estimation problems
linear least-squares
inverse problems
mathematics, applied
A regularized Gauss-Newton trust region approach to imaging in diffuse optical tomography
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/ab5d80d7-55be-4bcc-89bf-87044eadacf0/download
File
MD5
d8dc6de7ebf6ed00d434a78ee3d732f0
715063
application/pdf
100798181.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/5a754520-3632-484c-ac6c-5b6eb2ef206f/download
File
MD5
269003d118a0904cb5260514dcedff4d
103721
text/plain
100798181.pdf.txt
oai:vtechworks.lib.vt.edu:10919/819222023-11-29T11:07:07Zcom_10919_5com_10919_25799com_10919_47107com_10919_5478com_10919_24210com_10919_5553col_10919_70873col_10919_47108col_10919_24285
VTechWorks
author
Borggaard, Jeffrey T.
author
Gugercin, Serkan
editor
King, R.
department
Mathematics
department
Interdisciplinary Center for Applied Mathematics (ICAM)
2018-01-25T17:16:50Z
2018-01-25T17:16:50Z
2015-01-01
http://hdl.handle.net/10919/81922
https://doi.org/10.1007/978-3-319-11967-0_23
127
Borggaard, JT [0000-0002-4023-7841]
In Copyright
Technology
Engineering, Mechanical
Mechanics
Physics, Applied
Engineering
Physics
REDUCED-ORDER MODELS
PROPER ORTHOGONAL DECOMPOSITION
INTERPOLATORY PROJECTION METHODS
LOW-DIMENSIONAL MODELS
DESCRIPTOR SYSTEMS
CIRCULAR-CYLINDER
FEEDBACK CONTROLLERS
SHAPE OPTIMIZATION
INVERSE PROBLEMS
LINEAR-SYSTEMS
Model Reduction for DAEs with an Application to Flow Control
Book chapter
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oai:vtechworks.lib.vt.edu:10919/476062023-11-29T11:07:07Zcom_10919_47107com_10919_5478com_10919_24210com_10919_5553col_10919_47108col_10919_24285
VTechWorks
author
Li, Jie
author
Renardy, Yuriko Y.
author
Renardy, Michael J.
department
Mathematics
department
Interdisciplinary Center for Applied Mathematics (ICAM)
2014-04-24T18:34:09Z
2014-04-24T18:34:09Z
1998-12
Li, J; Renardy, YY; Renardy, M, "A numerical study of periodic disturbances on two-layer Couette flaw," Phys. Fluids 10, 3056 (1998); http://dx.doi.org/10.1063/1.869834
1070-6631
http://hdl.handle.net/10919/47606
http://scitation.aip.org/content/aip/journal/pof2/10/12/10.1063/1.869834
https://doi.org/10.1063/1.869834
The flow of two viscous liquids is investigated numerically with a volume of fluid scheme. The scheme incorporates a semi-implicit Stokes solver to enable computations at low Reynolds numbers, and a second-order velocity interpolation. The code is validated against linear theory for the stability of two-layer Couette flow, and weakly nonlinear theory for a Hopf bifurcation. Examples of long-time wave saturation are shown. The formation of fingers for relatively small initial amplitudes as well as larger amplitudes are presented in two and three dimensions as initial-value problems. Fluids of different viscosity and density are considered, with an emphasis on the effect of the viscosity difference. Results at low Reynolds numbers show elongated fingers in two dimensions that break in three dimensions to form drops, while different topological changes take place at higher Reynolds numbers. (C) 1998 American Institute of Physics. [S1070-6631(98)00612-6].
en_US
In Copyright
flows
instability
algorithms
evolution
interface
fluids
fronts
A numerical study of periodic disturbances on two-layer Couette flaw
Article - Refereed
URL
https://vtechworks.lib.vt.edu/bitstreams/0bd17702-292d-42e4-b613-530d5e46b8e8/download
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MD5
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608353
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1.869834.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/fb890e44-9ee5-412d-ac8b-001588f25175/download
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oai:vtechworks.lib.vt.edu:10919/257742023-11-29T11:26:11Zcom_10919_25796com_10919_24210com_10919_5553col_10919_25797col_10919_24285
VTechWorks
author
Sontag, Eduardo
author
Veliz-Cuba, Alan
author
Laubenbacher, Reinhard C.
author
Jarrah, Abdul Salam
department
Mathematics
department
Fralin Life Sciences Institute
2014-02-26T19:10:05Z
2014-02-26T19:10:05Z
2008-07
Sontag, Eduardo; Veliz-Cuba, Alan; Laubenbacher, Reinhard; Jarrah, Abdul Salaml. "The effect of negative feedback loops on the dynamics of Boolean networks," Biophysical Journal 95(2), 518-526 (2008); doi: 10.1529/biophysj.107.125021
0006-3495
http://hdl.handle.net/10919/25774
http://www.sciencedirect.com/science/article/pii/S0006349508702297
https://doi.org/10.1529/biophysj.107.125021
Feedback loops play an important role in determining the dynamics of biological networks. To study the role of negative feedback loops, this article introduces the notion of distance-to-positive-feedback which, in essence, captures the number of independent negative feedback loops in the network, a property inherent in the network topology. Through a computational study using Boolean networks, it is shown that distance-to-positive-feedback has a strong influence on network dynamics and correlates very well with the number and length of limit cycles in the phase space of the network. To be precise, it is shown that, as the number of independent negative feedback loops increases, the number (length) of limit cycles tends to decrease (increase). These conclusions are consistent with the fact that certain natural biological networks exhibit generally regular behavior and have fewer negative feedback loops than randomized networks with the same number of nodes and same connectivity.
en_US
In Copyright
differential-equations
regulatory networks
biological networks
kauffman networks
systems
convergence
behavior
cycles
The effect of negative feedback loops on the dynamics of Boolean networks
Article - Refereed
URL
https://vtechworks.lib.vt.edu/bitstreams/723cc80e-4ad2-4a38-9e14-84a874fd4baa/download
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MD5
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1-s2.0-S0006349508702297-main.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/829ac2fa-a51b-4a30-a5b9-f925d872f039/download
File
MD5
e7fc7f2b43da1d04a42ae55f9fcd9cbe
42554
text/plain
1-s2.0-S0006349508702297-main.pdf.txt
oai:vtechworks.lib.vt.edu:10919/470732023-04-14T12:27:06Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Aktosun, T.
author
Klaus, Martin
author
van der Mee, Cornelis
department
Mathematics
2014-04-09T18:12:25Z
2014-04-09T18:12:25Z
1993-07
Aktosun, T.; Klaus, M.; Vandermee, C., "On the RiemannāHilbert problem for the one dimensional Schrƶdinger equation," J. Math. Phys. 34, 2651 (1993); http://dx.doi.org/10.1063/1.530089
0022-2488
http://hdl.handle.net/10919/47073
http://scitation.aip.org/content/aip/journal/jmp/34/7/10.1063/1.530089
https://doi.org/10.1063/1.530089
A matrix Riemann-Hilbert problem associated with the one-dimensional Schrodinger equation is considered, and the existence and uniqueness of its solutions are studied. The solution of this Riemann-Hilbert problem yields the solution of the inverse scattering problem for a larger class of potentials than the usual Faddeev class. Some examples of explicit solutions of the Riemann-Hilbert problem are given, and the connection with ambiguities in the inverse scattering problem is established.
en_US
In Copyright
inverse scattering
line
On the RiemannāHilbert problem for the one dimensional Schrƶdinger equation
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/7a21b0e9-245f-4404-8d4c-8a56511e0e56/download
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MD5
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2620052
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URL
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MD5
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89509
text/plain
1.530089.pdf.txt
oai:vtechworks.lib.vt.edu:10919/750482020-10-22T03:36:51Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Renardy, Yuriko Y.
author
Renardy, Michael J.
department
Mathematics
2017-02-16T09:32:16Z
2017-02-16T09:32:16Z
2017-02-15
http://hdl.handle.net/10919/75048
A viscoelastic constitutive model which combines the partially extending strand convection model and a Newtonian solvent is used in the regime of large relaxation time. Prior work on one dimensional time-dependent solutions at prescribed shear stress predicts some of the features expected of thixotropic yield stress fluids, such as delayed yielding. In this paper, we present the linear stability analysis of two-dimensional plane Couette flow, for parameter regimes that support a two-layer arrangement consisting of an unyielded layer and a yielded layer. Asymptotic analysis and computational techniques are applied. We find that the one layer yielded flow can have bulk instabilities which also emerge in the two-layer flow. Bulk instabilities in the yielded phase appear not to have been observed in prior literature. For some parameters, an interfacial mode is unstable and is driven by the normal stress difference across the interface. The yielded zone has the higher first normal stress difference, as for the well-studied JohnsonāSegalman model. In order to assess the importance of the sign of the first normal stress difference at the interface, we specifically design a modification to the model to reverse the sign. It is found that instabilities still occur.
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
shear banding
viscoelastic model
thixotropy
Stability of shear banded flow for a viscoelastic constitutive model with thixotropic yield stress behavior
Presentation
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/2df96cfe-6d30-4921-a633-e9b052813343/download
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MD5
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SORFeb2017.pptx
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/df098fdb-946b-4b1e-ab8b-36232f48f483/download
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SORFeb2017.pptx.txt
oai:vtechworks.lib.vt.edu:10919/855352023-04-14T17:49:47Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Ciupe, Mihaela Stanca
author
Hews, Sarah
department
Mathematics
2018-10-26T14:38:31Z
2018-10-26T14:38:31Z
2012-07-02
e39591
http://hdl.handle.net/10919/85535
https://doi.org/10.1371/journal.pone.0039591
7
7
22768303
1932-6203
We develop mathematical models for the role of hepatitis B e-antigen in creating immunological tolerance during hepatitis B virus infection and propose mechanisms for hepatitis B e-antigen clearance, subsequent emergence of a potent cellular immune response, and the effect of these on liver damage. We investigate the dynamics of virus-immune cells interactions, and derive parameter regimes that allow for viral persistence. We modify the model to account for mechanisms responsible for hepatitis B e-antigen loss, such as seroconversion and virus mutations that lead to emergence of cellular immune response to the mutant virus. Our models demonstrate that either seroconversion or mutations can induce immune activation and that instantaneous loss of e-antigen by either mechanism is associated with least liver damage and is therefore more beneficial for disease outcomes.
en
Creative Commons Attribution 4.0 International
Mathematical Models of E-Antigen Mediated Immune Tolerance and Activation following Prenatal HBV Infection
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/69dfe3ae-7005-4e3e-8b3b-b5e0baecf1c5/download
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MD5
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URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/5db88241-f801-4205-9278-586b7c3710a7/download
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oai:vtechworks.lib.vt.edu:10919/1180642024-02-20T12:02:56Zcom_10919_8195com_10919_25799com_10919_24210com_10919_5553col_10919_18629col_10919_24285
VTechWorks
author
Lau, Alexandra C.
author
Henderson, Charles
author
Stains, Marilyne
author
Dancy, Melissa
author
Merino, Christian
author
Apkarian, Naneh
author
Raker, Jeffrey R.
author
Johnson, Estrella
2024-02-20T14:26:34Z
2024-02-20T14:26:34Z
2024-02-12
International Journal of STEM Education. 2024 Feb 12;11(1):10
https://hdl.handle.net/10919/118064
https://doi.org/10.1186/s40594-024-00470-x
Background: It is well established in the literature that active learning instruction in introductory STEM courses results in many desired student outcomes. Yet, regular use of high-quality active learning is not the norm in many STEM departments. Using results of a national survey, we identified 16 departments where multiple instructors reported using high levels of active learning in their introductory chemistry, mathematics, or physics courses. We conducted interviews with 27 instructors in these 16 departments to better understand the characteristics of such departments.
Results: Using grounded theory methodology, we developed a model that highlights relevant characteristics of departments with high use of active learning instruction in their introductory courses. According to this model, there are four main, interconnected characteristics of such departments: motivated people, knowledge about active learning, opportunities, and cultures and structures that support active learning. These departments have one or more people who are motivated to promote the use of active learning. These motivated people have knowledge about active learning as well as access to opportunities to promote the use of active learning. Finally, these departments have cultures and structures that support the use of active learning. In these departments, there is a positive feedback loop that works iteratively over time, where motivated people shape cultures/structures and these cultures/structures in turn increase the number and level of commitment of the motivated people. A second positive feedback loop was found between the positive outcome of using active learning instruction and the strengthening of cultures/structures supportive of active learning.
Conclusions: According to the model, there are two main take-away messages for those interested in promoting the use of active learning. The first is that all four components of the model are important. A weak or missing component may limit the desired outcome. The second is that desired outcomes are obtained and strengthened over time through two positive feedback loops. Thus, there is a temporal aspect to change. In all of the departments that were part of our study, the changes took at minimum several years to enact. While our model was developed using only high-use of active learning departments and future work is needed to develop the model into a full change theory, our results do suggest that change efforts may be made more effective by increasing the robustness of the four components and the connections between them.
en
Creative Commons Attribution 4.0 International
Characteristics of departments with high-use of active learning in introductory STEM courses: implications for departmental transformation
Article - Refereed
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40594_2024_Article_470.pdf.txt
oai:vtechworks.lib.vt.edu:10919/481352020-10-29T05:01:48Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Ball, Joseph A.
author
Chudoung, Jerawan A.
author
Day, Martin V.
department
Mathematics
2014-05-28T18:35:01Z
2014-05-28T18:35:01Z
2002-09
Ball, J. A.; Chudoung, J. A.; Day, M. V., "Robust optimal switching control for nonlinear systems," SIAM J. Control Optim., 41(3), 900-931, (2002). DOI: 10.1137/s0363012900372611
0363-0129
http://hdl.handle.net/10919/48135
http://epubs.siam.org/doi/abs/10.1137/S0363012900372611
https://doi.org/10.1137/s0363012900372611
We formulate a robust optimal control problem for a general nonlinear system with finitely many admissible control settings and with costs assigned to switching of controls. e formulate the problem both in an L-2-gain/dissipative system framework and in a game-theoretic framework. We show that, under appropriate assumptions, a continuous switching-storage function is characterized as a viscosity supersolution of the appropriate system of quasi-variational inequalities (the appropriate generalization of the Hamilton-Jacobi-Bellman Isaacs equation for this context) and that the minimal such switching-storage function is equal to the continuous switching lower-value function for the game. Finally, we show how a prototypical example with one-dimensional state space can be solved by a direct geometric construction.
en_US
In Copyright
running cost
switching cost
worst-case disturbance attenuation
differential game
state-feedback control
nonanticipating strategy
storage function
lower-value function
system of quasi-variational
inequalities
viscosity solution
h-infinity control
viscosity solutions
differential-games
strategies
equations
automation & control systems
mathematics, applied
Robust optimal switching control for nonlinear systems
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/cea0441f-0906-4c81-a96f-04cd76a1212c/download
File
MD5
a0b4ee0cd6a39a42d3019680eaf0b7d2
316195
application/pdf
s0363012900372611.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/5fb622e1-4dc9-41e0-9f88-3f0c7c3c6a4c/download
File
MD5
bf2aa19bf443b949f8fc818a50c1577e
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text/plain
s0363012900372611.pdf.txt
oai:vtechworks.lib.vt.edu:10919/481592020-10-29T05:01:48Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Gugercin, Serkan
author
Stykel, T.
author
Wyatt, S.
department
Mathematics
2014-05-28T18:35:10Z
2014-05-28T18:35:10Z
2013
Gugercin, S.; Stykel, T.; Wyatt, S., "Model reduction of descriptor systems by interpolatory projection methods," SIAM J. Sci. Comput., 35(5), B1010-B1033, (2013). DOI: 10.1137/130906635
1064-8275
http://hdl.handle.net/10919/48159
http://epubs.siam.org/doi/abs/10.1137/130906635
https://doi.org/10.1137/130906635
In this paper, we investigate an interpolatory projection framework for model reduction of descriptor systems. With a simple numerical example, we first illustrate that directly applying the subspace conditions from the standard state space settings to descriptor systems generically leads to unbounded H-2 or H-infinity errors due to the mismatch of the polynomial parts of the full and reduced-order transfer functions. We then develop modified interpolatory subspace conditions based on the deflating subspaces that guarantee a bounded error. For the special cases of index-1 and index-2 descriptor systems, we also show how to avoid computing these deflating subspaces explicitly while still enforcing interpolation. The question of how to choose interpolation points optimally naturally arises as in the standard state space setting. We answer this question in the framework of the H-2-norm by extending the iterative rational Krylov algorithm to descriptor systems. Several numerical examples are used to illustrate the theoretical discussion.
en_US
In Copyright
interpolatory model reduction
differential-algebraic equations
h-2
approximation
equations
approximation
realization
mathematics, applied
Model reduction of descriptor systems by interpolatory projection methods
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/3be3d157-ed8c-4537-8dc9-89436d4a304e/download
File
MD5
63a9d478e81bf28ca4471b3ebc00d87e
783773
application/pdf
130906635.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/f8de2c18-fe1b-4835-98fc-4984a98ba830/download
File
MD5
3cdf0a0abe53f88f34d543114ca79226
75029
text/plain
130906635.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1073022024-03-12T15:59:10Zcom_10919_5com_10919_25799com_10919_78629com_10919_78628com_10919_86665com_10919_24211com_10919_5553com_10919_23913com_10919_24210col_10919_70873col_10919_78630col_10919_86666col_10919_23920col_10919_24285col_10919_24287
VTechWorks
author
Mukhamadiarov, Ruslan I.
author
Deng, Shengfeng
author
Serrao, Shannon R.
author
Priyanka
author
Childs, Lauren M.
author
TƤuber, Uwe C.
2021-12-31T16:25:34Z
2021-12-31T16:25:34Z
2022-01-21
1751-8113
http://hdl.handle.net/10919/107302
https://doi.org/10.1088/1751-8121/ac3fc3
55
3
Childs, Lauren [0000-0003-3904-3895]Tauber, Uwe [0000-0001-7854-2254]
1751-8121
We employ individual-based Monte Carlo computer simulations of a stochastic SEIR model variant on a two-dimensional NewmanāWatts small-world network to investigate the control of epidemic outbreaks through periodic testing and isolation of infectious individuals, and subsequent quarantine of their immediate contacts. Using disease parameters informed by the COVID-19 pandemic, we investigate the effects of various crucial mitigation features on the epidemic spreading: fraction of the infectious population that is identifiable through the tests; testing frequency; time delay between testing and isolation of positively tested individuals; and the further time delay until quarantining their contacts as well as the quarantine duration. We thus determine the required ranges for these intervention parameters to yield effective control of the disease through both considerable delaying the epidemic peak and massively reducing the total number of sustained infections.
en
In Copyright
Mathematical Physics
01 Mathematical Sciences
02 Physical Sciences
COVID-19
Requirements for the containment of COVID-19 disease outbreaks through periodic testing, isolation, and quarantine
Article - Refereed
URL
https://vtechworks.lib.vt.edu/bitstreams/93b1cffe-6fde-4fb1-a797-fdee3bf75f27/download
File
MD5
b4853ce5fcdfbc92dd29747fe414bd01
1207404
application/pdf
22_22_covtst.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/eb907b8c-9797-4792-b8f2-c5ac2cf7ed4b/download
File
MD5
8f358244860a733224f1fd8a2be59018
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text/plain
22_22_covtst.pdf.txt
oai:vtechworks.lib.vt.edu:10919/251142020-10-29T05:01:48Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Aktosun, Tuncay
author
Klaus, Martin
author
Weder, Ricardo
department
Mathematics
2014-01-23T13:49:07Z
2014-01-23T13:49:07Z
2011-10
Aktosun, Tuncay; Klaus, Martin; Weder, Ricardo, "Small-energy analysis for the self-adjoint matrix Schrodinger operator on the half line," J. Math. Phys. 52, 102101 (2011); http://dx.doi.org/10.1063/1.3640029
0022-2488
http://hdl.handle.net/10919/25114
http://scitation.aip.org/content/aip/journal/jmp/52/10/10.1063/1.3640029
https://doi.org/10.1063/1.3640029
The matrix Schrodinger equation with a self-adjoint matrix potential is considered on the half line with the most general self-adjoint boundary condition at the origin. When the matrix potential is integrable and has a first moment, it is shown that the corresponding scattering matrix is continuous at zero energy. An explicit formula is provided for the scattering matrix at zero energy. The small-energy asymptotics are established also for the related Jost matrix, its inverse, and various other quantities relevant to the corresponding direct and inverse scattering problems. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3640029]
en_US
In Copyright
inverse scattering problem
quantum graphs
boundary-conditions
kirchhoffs rule
equation
asymptotics
behavior
wires
Small-energy analysis for the self-adjoint matrix Schrodinger operator on the half line
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/8d885594-e654-4976-a940-9eac1d911333/download
File
MD5
9949b88852d0b592c316691850a44af4
477297
application/pdf
1.3640029.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/ce783554-a997-4c22-bab8-4a663a96961b/download
File
MD5
30adaa7564771ff70c0e7f67aeafb930
76748
text/plain
1.3640029.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1121922022-10-19T07:13:04Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Hong, Najiao
author
Lin, Yongjun
author
Ye, Zhirong
author
Yang, Chunbaixue
author
Huang, Yulong
author
Duan, Qi
author
Xie, Sixin
2022-10-18T19:33:41Z
2022-10-18T19:33:41Z
2022-08-11
1664-3224
937201
http://hdl.handle.net/10919/112192
https://doi.org/10.3389/fimmu.2022.937201
13
36032093
ObjectiveDyslipidemia is one of the major public health problems in China. It is characterized by multisystem dysregulation and inflammation, and oxidant/antioxidant balance has been suggested as an important factor for its initiation and progression. The objective of this study was to determine the relationship between prevalence of dyslipidemia and measured changes in the levels of proinflammatory cytokines (IL-6, TNF-a, and MCP-1), thiobarbituric acid-reactant substances (TBARS), and serum total antioxidant capacity (TAC) in serum samples. Study designA cross-sectional survey with a purposive sampling of 2,631 enrolled participants (age 18-85 years) was performed using the adult population of long-term residents of the municipality of east coast China in Fujian province between the years 2017 and 2019. Information on general health status, dyslipidemia prevalence, and selected mediators of inflammation was collected through a two-stage probability sampling design according to socioeconomic level, sex, and age. MethodsThe lipid profile was conducted by measuring the levels of total cholesterol (TC), high-density lipoprotein cholesterol (HDL-C), low-density lipoprotein cholesterol (LDL-C), and triglycerides (TG) with an autoanalyzer. Dyslipidemia was defined according to National Cholesterol Education Program Adult Treatment Panel III diagnostic criteria, and patients with it were identified by means of a computerized database. Serum parameters including IL-6/TNF-a/MCP-1, TBARS, and TAC were measured in three consecutive years. Familial history, education level, risk factors, etc. were determined. The association between dyslipidemia and serum parameters was explored using multivariable logistic regression models. Sociodemographic, age, and risk factors were also investigated among all participants. ResultsThe mean prevalence of various dyslipidemia in the population at baseline (2017) was as follows: dyslipidemias, 28.50%; hypercholesterolemia, 26.33%; high LDL-C, 26.10%; low HDL-C, 24.44%; and hypertriglyceridemia, 27.77%. A significant effect of aging was found among all male and female participants. The mean levels of serum Il-6/TNF-a/MCP-1 were significantly higher in all the types of dyslipidemia among male participants. Female participants with all types of dyslipidemia but low HDL-C showed an elevation of IL-6 and MCP-1 levels, and those with dyslipidemias and hypercholesterolemia presented higher levels of TNF-a compared to the normal participants. The oxidative stress marker TBARS increased among all types of dyslipidemia except hypertriglyceridemia. All participants with different types of dyslipidemia had a lower total antioxidant capacity. Correlation analysis showed that cytokines and TBARS were positively associated with age, obesity, and diabetes mellitus, but not sex, sedentary leisure lifestyle, hypertension, and CVD/CHD history. The activity of TAC was negatively associated with the above parameters. ConclusionsThe correlation between the prevalence of dyslipidemia and the modification of inflammation status was statistically significant. The levels of proinflammatory cytokines, oxidative stress, and antioxidant capacity in serum may reflect the severity of the lipid abnormalities. These promising results further warrant a thorough medical screening in enhanced anti-inflammatory and reduced oxidative stress to better diagnose and comprehensively treat dyslipidemia at an early stage.
en
Creative Commons Attribution 4.0 International
dyslipidemia
IL-6
TNF-a
MCP-1
TBARS
TAC
The relationship between dyslipidemia and inflammation among adults in east coast China: A cross-sectional study
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/76850c74-c721-425c-8ace-683a3f30e490/download
File
MD5
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fimmu-13-937201.pdf
URL
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fimmu-13-937201.pdf.txt
oai:vtechworks.lib.vt.edu:10919/744342022-08-05T18:50:08Zcom_10919_5com_10919_25799com_10919_24210com_10919_5553col_10919_70873col_10919_24285
VTechWorks
author
Gugercin, Serkan
author
Beattie, Christopher A.
department
Mathematics
2017-01-26T21:49:02Z
2017-01-26T21:49:02Z
2016-07-01
http://hdl.handle.net/10919/74434
The last two decades have seen major developments in interpolatory methods for model reduction of large-scale linear dynamical systems. Advances of note include the ability to produce (locally) optimal reduced models at modest cost; refined methods for deriving interpolatory reduced models directly from input/output measurements; and extensions for the reduction of parametrized systems. This chapter offers a survey of interpolatory model reduction methods starting from basic principles and ranging up through recent developments that include weighted model reduction and structure-preserving methods based on generalized coprime representations. Our discussion is supported by an assortment of numerical examples.
In Copyright
math.NA
cs.NA
cs.SY
Model Reduction by Rational Interpolation
Book chapter
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/87ab87ea-87bf-460a-933b-4e7f6c50177e/download
File
MD5
0b29a24abaae32efe2c3b4e49dc3905d
859631
application/pdf
1409.2140v1.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/8bc10fa2-95d5-4d91-945f-572cf0cd18ce/download
File
MD5
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1409.2140v1.pdf.txt
oai:vtechworks.lib.vt.edu:10919/470362023-04-14T12:27:06Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Fassari, S.
author
Klaus, Martin
department
Mathematics
2014-04-09T18:12:17Z
2014-04-09T18:12:17Z
1998-09
Fassari, S.; Klaus, M., "Coupling constant thresholds of perturbed periodic Hamiltonians," J. Math. Phys. 39, 4369 (1998); http://dx.doi.org/10.1063/1.532516
0022-2488
http://hdl.handle.net/10919/47036
http://scitation.aip.org/content/aip/journal/jmp/39/9/10.1063/1.532516
https://doi.org/10.1063/1.532516
We consider Schrodinger operators of the form H-lambda= -Delta + V + lambda W on L-2(R-v) (v=1, 2, or 3) with V periodic, W short range, and lambda a real non-negative parameter. Then the continuous spectrum of H-lambda has the typical band structure consisting of intervals, separated by gaps. In the gaps there may be discrete eigenvalues of H-lambda that are functions of the parameter lambda. Let (a,b) be a gap and E(lambda)E(a,b) an eigenvalue of H-lambda. We study the asymptotic behavior of E(lambda) as lambda approaches a critical value lambda(0), called a coupling constant threshold, at which the eigenvalue either emerges from or is absorbed into the continuous spectrum. A typical question is the following: Assuming E(lambda)down arrow a as lambda down arrow lambda(0), is E(lambda)-a similar to c(lambda - lambda(0))(alpha) for some alpha>0 and c not equal 0, or is there an expansion in some other quantity? As one expects from previous work in the case V=0, the answer strongly depends on v. (C) 1998 American Institute of Physics.
en_US
In Copyright
h-lambda-w
schrodinger-operators
eigenvalues
sigma(h)
behavior
gap
Coupling constant thresholds of perturbed periodic Hamiltonians
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/8d297998-0d02-4523-a0ab-579122891c77/download
File
MD5
6ff525837bbd696043e42086ee7632aa
1014192
application/pdf
1.532516.pdf
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/fd1a3eef-0592-44ce-8de3-324d882a6b10/download
File
MD5
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143154
text/plain
1.532516.pdf.txt
oai:vtechworks.lib.vt.edu:10919/1121632022-10-15T07:13:45Zcom_10919_24210com_10919_5553col_10919_24285
VTechWorks
author
Ciupe, Stanca M.
author
Tuncer, Necibe
2022-10-14T13:41:19Z
2022-10-14T13:41:19Z
2022-08-27
2045-2322
14637
http://hdl.handle.net/10919/112163
https://doi.org/10.1038/s41598-022-18683-x
12
1
36030320
Determining accurate estimates for the characteristics of the severe acute respiratory syndrome coronavirus 2 in the upper and lower respiratory tracts, by fitting mathematical models to data, is made difficult by the lack of measurements early in the infection. To determine the sensitivity of the parameter estimates to the noise in the data, we developed a novel two-patch within-host mathematical model that considered the infection of both respiratory tracts and assumed that the viral load in the lower respiratory tract decays in a density dependent manner and investigated its ability to match population level data. We proposed several approaches that can improve practical identifiability of parameters, including an optimal experimental approach, and found that availability of viral data early in the infection is of essence for improving the accuracy of the estimates. Our findings can be useful for designing interventions.
en
Creative Commons Attribution 4.0 International
Identifiability of parameters in mathematical models of SARS-CoV-2 infections in humans
Article - Refereed
URL
https://vtw-prod.eed0.cloud.lib.vt.edu/bitstreams/2aae0d62-c086-4810-89be-d4c166982db0/download
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s41598-022-18683-x.pdf
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oai:vtechworks.lib.vt.edu:10919/188072023-12-11T11:08:48Zcom_10919_8195com_10919_25799com_10919_19035com_10919_5539com_10919_24210com_10919_5553col_10919_18629col_10919_24290col_10919_24285
VTechWorks
author
Zhang, Liqing
author
Watson, Layne T.
author
Heath, Lenwood S.
department
Computer Science
department
Mathematics
2012-08-24T11:05:16Z
2012-08-24T11:05:16Z
2011-05-23
BMC Bioinformatics. 2011 May 23;12(1):191
http://hdl.handle.net/10919/18807
https://doi.org/10.1186/1471-2105-12-191
Background
The Structural Classification of Proteins (SCOP) database uses a large number of hidden Markov models (HMMs) to represent families and superfamilies composed of proteins that presumably share the same evolutionary origin. However, how the HMMs are related to one another has not been examined before.
Results
In this work, taking into account the processes used to build the HMMs, we propose a working hypothesis to examine the relationships between HMMs and the families and superfamilies that they represent. Specifically, we perform an all-against-all HMM comparison using the HHsearch program (similar to BLAST) and construct a network where the nodes are HMMs and the edges connect similar HMMs. We hypothesize that the HMMs in a connected component belong to the same family or superfamily more often than expected under a random network connection model.
Results show a pattern consistent with this working hypothesis. Moreover, the HMM network possesses features distinctly different from the previously documented biological networks, exemplified by the exceptionally high clustering coefficient and the large number of connected components.
Conclusions
The current finding may provide guidance in devising computational methods to reduce the degree of overlaps between the HMMs representing the same superfamilies, which may in turn enable more efficient large-scale sequence searches against the database of HMMs.
en
Creative Commons Attribution 4.0 International
A Network of SCOP Hidden Markov Models and Its Analysis
Article - Refereed
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URL
https://vtechworks.lib.vt.edu/bitstreams/e9a3b54a-3868-4ce2-9917-43c239ce0ba1/download
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MD5
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1471-2105-12-191.pdf
URL
https://vtechworks.lib.vt.edu/bitstreams/85ab6c71-9364-4316-aef4-a345335d86c6/download
File
MD5
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1471-2105-12-191.pdf.txt
mets///col_10919_24285/100