Browsing Scholarly Works, Department of Mathematics by Title
Now showing items 120 of 279

A finite element splitting extrapolation for second order hyperbolic equations
(Siam Publications, 2009)Splitting extrapolation is an efficient technique for solving large scale scientific and engineering problems in parallel. This article discusses a finite element splitting extrapolation for second order hyperbolic equations ... 
A general convergence analysis of some Newtontype methods for nonlinear inverse problems
(Siam Publications, 2011)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 illposed inverse problems F(x) = y using the only available ... 
A multiplescales spacetime analysis of a randomly perturbed onedimensional wave equation
(AIP Publishing, 197710)An initial value problem for one_dimensional wave propagation is considered; the medium is assumed to be randomly perturbed as a function of both space and time. The stochastic perturbation theory of Papanicolaou and Keller ... 
A note on the switching adiabatic theorem
(AIP Publishing, 201210)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 ... 
A uniqueness result for pMonotone viscosity solutions of HamiltonJacobi equations in bounded domains
(Siam Publications, 2009)We consider a class of HamiltonJacobi equations H(x, Du(x))  0 with no udependence and with continuity properties consistent with recent applications in queueing theory. Continuous viscosity solutions are considered in ... 
Abacus proofs of Schur function identities
(Siam Publications, 2010)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 LittlewoodRichardson rule, the ... 
Acceleration of tensorproduct operations for highorder finite element methods
(201709)This paper is devoted to GPU kernel optimization and performance analysis of three tensorproduct operators arising in finite element methods. We provide a mathematical background to these operations and implementation ... 
ADAM: Analysis of Discrete Models of Biological Systems Using Computer Algebra
(20110720)Background Many biological systems are modeled qualitatively with discrete models, such as probabilistic Boolean networks, logical models, Petri nets, and agentbased models, to gain a better understanding of them. The ... 
An affine deformation of the quantum cohomology ring of flag manifolds and periodic Toda lattice
(20160623)Consider the generalized flag manifold $G/B$ and the corresponding affine flag manifold $\mathcal{Fl}_G$. In this paper we use curve neighborhoods for Schubert varieties in $\mathcal{Fl}_G$ to construct certain affine ... 
Algebras and Varieties
(202003)In this paper we introduce new affine algebraic varieties whose points correspond to associative algebras. We show that the algebras within a variety share many important homological properties. In particular, any two ... 
An elementary nonlinear beam theory with finite buckling deformation properties
(Siam Publications, 200204)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 ... 
Analysis and approximation of the velocity tracking problem for NavierStokes flows with distributed control
(Siam Publications, 200005)We consider the mathematical formulation, analysis, and the numerical solution of a timedependent optimal control problem associated with the tracking of the velocity of a NavierStokes ow in a bounded twodimensional ... 
Analysis of Entropy Generation Rate in an Unsteady Porous Channel Flow with Navier Slip and Convective Cooling
(MDPI, 20130528)This study deals with the combined effects of Navier Slip, Convective cooling, variable viscosity, and suction/injection on the entropy generation rate in an unsteady flow of an incompressible viscous fluid flowing through ... 
Analytic theory for the selection of a twodimensional needle crystal at arbitrary Péclet number
(American Physical Society, 198910)An accurate analytic theory is presented for the velocity selection of a twodimensional needle crystal for arbitrary Péclet number for small values of the surfacetension parameter. The velocity selection is caused by the ... 
Analytical solutions of model equations for two phase gas mixtures: Transverse velocity perturbations
(AIP Publishing, 1984)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 ... 
Anomalous decay of a prepared state due to nonOhmic coupling to the continuum
(American Physical Society, 201003)We study the decay of a prepared state E(0) into a continuum {E(k)} in the case of nonOhmic models. This means that the coupling is V(k),(0) proportional to E(k)E(0)(s1) with s not equal 1. We find that irrespective ... 
Anomaly meltdown
(AIP Publishing, 199108)It is shown that at nonzero temperature it is possible that anomalies in representations of symmetry groups and gauge groups, present at zero temperature, disappear. Several examples are given. Thus the idea that anomalies ... 
Antibiotics ameliorate lupuslike symptoms in mice
(Nature, 20171020)Gut microbiota and the immune system interact to maintain tissue homeostasis, but whether this interaction is involved in the pathogenesis of systemic lupus erythematosus (SLE) is unclear. Here we report that oral antibiotics ... 
Antibody Responses during Hepatitis B Viral Infection
(PLOS, 201407)Hepatitis B is a DNA virus that infects liver cells and can cause both acute and chronic disease. It is believed that both viral and host factors are responsible for determining whether the infection is cleared or becomes ... 
Approximate Deconvolution Reduced Order Modeling
(20161012)This paper proposes a large eddy simulation reduced order model(LESROM) framework for the numerical simulation of realistic flows. In this LESROM framework, the proper orthogonal decomposition(POD) is used to define the ...