Browsing Scholarly Works, Department of Mathematics by Title
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Peano compactifications and property metric spaces
(Hindawi, 19800101)Let (X,d) denote a locally connected, connected separable metric space. We say the X is Smetrizable provided there is a topologically equivalent metric ρ on X such that (X,ρ) has Property S, i.e. for any ϵ>0, X is the ... 
Phaselocked loops, demodulation, and averaging approximation timescale extensions
(Siam Publications, 2013)Among the many applications of the phaselocked loop (PLL), a device used extensively in telecommunications and electronics, is the demodulation of modulated carrier signals. The PLL contains a voltage controlled oscillator ... 
Power statistics for wave propagation in onedimension and comparison with radiative transport theory. II
(AIP Publishing, 197412)We consider the one_dimensional problem of a slab having a random index of refraction and illuminated from within by a point source. We compute the expected value and the fluctuations of both the total power and power flux. ... 
Preconditioners for generalized saddlepoint problems
(Siam Publications, 2006)We propose and examine blockdiagonal preconditioners and variants of indefinite preconditioners for block twobytwo generalized saddlepoint problems. That is, we consider the nonsymmetric, nonsingular case where the ( ... 
Preconditioning Parametrized Linear Systems
Preconditioners are generally essential for fast convergence in the iterative solution of linear systems of equations. However, the computation of a good preconditioner can be expensive. So, while solving a sequence of ... 
Predicting network modules of cell cycle regulators using relative protein abundance statistics
(20170228)Abstract Background Parameter estimation in systems biology is typically done by enforcing experimental observations through an objective function as the parameter space of a ... 
Predicting the combined effect of multiple genetic variants
(20150730)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 ... 
Prediction of rheometrical and complex flows of entangled linear polymers using the doubleconvection reptation model with chain stretch
(AIP Publishing, 200301)We study the rheometrical and complex flow response of the doubleconvectionreptation (DCR) model with chain stretch proposed recently by Ianniruberto and Marrucci (2002) for entangled linear polymers. The single and ... 
Pulse propagation in a randomly perturbed ocean: Single pulse statistics
(Acoustical Society of America, 198010)A statistical theory of broadband single pulse propagation in a random ocean is presented. The mutual coherence function of the received signal is derived using an analysis based upon coupled mode theory. As propagation ... 
Purely imaginary eigenvalues of ZakharovShabat systems
(American Physical Society, 200203)ZakharovShabat systems with singlehump and real, but not necessarily symmetric, potentials are shown to have purely imaginary eigenvalues only. Coupled with examples of doublehump potentials with nonimaginary eigenvalues, ... 
Pyramidal and toroidal water drops after impact on a solid surface
(Cambridge University Press, 200306)Superhydrophobic surfaces generate very high contact angles as a result of their microstructure. The impact of a water drop on such a surface shows unusual features, such as total rebound at low impact speed. We report ... 
Quantification of total Tcell receptor diversity by flow cytometry and spectratyping
(Biomed Central Ltd, 20130806)Background Tcell receptor diversity correlates with immune competency and is of particular interest in patients undergoing immune reconstitution. Spectratyping generates data about Tcell receptor CDR3 length distribution ... 
Quantitative prediction of the effect of genetic variation using hidden Markov models
(20140109)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 ... 
Quantum Schubert polynomials for the G2 flag manifold
(2016)We study some combinatorial objects related to the flag manifold X of Lie type G_{2}. Using the moment graph of X we calculate all the curve neighborhoods for Schubert classes. We use this calculation ... 
Radial oscillations of encapsulated microbubbles in viscoelastic liquids
(American Institute of Physics, 200210)The smallamplitude radial oscillations of a gas microbubble encapsulated by a viscoelastic solid shell and surrounded by a slightly compressible viscoelastic liquid are studied theoretically. The KelvinVoigt and 4constant ... 
Randomized Approach to Nonlinear Inversion Combining Simultaneous Random and Optimized Sources and Detectors
In partial differential equationsbased 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 ... 
Recycling BICG with an application to model reduction
(Siam Publications, 2012)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 ... 
Recycling Krylov subspaces for sequences of linear systems
(Siam Publications, 2006)Many problems in science and engineering require the solution of a long sequence of slowly changing linear systems. We propose and analyze two methods that significantly reduce the total number of matrixvector products ... 
Resolvent integration techniques for generalized transport equations
(AIP Publishing, 197906)A generalized class of ’’transport type’’ equations is studied, including most of the known exactly solvable models; in particular, the transport operator K is a scalar type spectral operator. A spectral resolution for K ...