Browsing Computational and Applied Mathematics by Title
Now showing items 2342 of 43

A mathematical framework for inverse wave problems in heterogeneous media
(2013)This paper provides a theoretical foundation for some common formulations of inverse problems in wave propagation, based on hyperbolic systems of linear integrodifferential equations with bounded and measurable coefficients. ... 
A MatrixFree TrustRegion SQP Method for Equality Constrained Optimization
(2014)We develop and analyze a trustregion sequential quadratic programming (SQP) method for the solution of smooth equality constrained optimization problems, which allows the inexact and hence iterative solution of linear ... 
The MinimalﾠkCore Problem for Modelingﾠ kAssemblies
(2015)The concept of cell assembly was introduced by Hebb and formalized mathematically by Palm in the framework of graph theory. In the study of associative memory, a cell assembly is a group of neurons that are strongly connected ... 
Model reduction of strongweak neurons
(2014)We consider neurons with large dendritic trees that are weakly excitable in the sense that back propagating action potentials are severly attenuated as they travel from the small, strongly excitable, spike initiation zone. ... 
Modulation of Orthographic Decoding by Frontal Cortex
(2016)Opinions are divided on whether word reading processes occur in a hierarchical, feedforward fashion or within an interactive framework. To critically evaluate these competing theories, we recorded electrocorticographic ... 
A New Compressive Video Sensing Framework for Mobile Broadcast
(201303)A new video coding method based on compressive sampling is proposed. In this method, a video is coded using compressive measurements on video cubes. Video reconstruction is performed by minimization of total variation ... 
Numerical method of characteristics for onedimensional blood flow
(2015)Mathematical modeling at the level of the full cardiovascular system requires the numerical approximation of solutions to a onedimensional nonlinear hyperbolic system describing flow in a single vessel. This model is often ... 
Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces
(2016)In this article, we prove optimal convergence rates results for regularization methods for solving linear illposed operator equations in Hilbert spaces. The results generalizes existing convergence rates results on ... 
A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems
(2014)In this work an efficient approach for a posteriori error estimation for PODDEIM reduced nonlinear dynamical systems is introduced. The considered nonlinear systems may also include time and parameteraffine linear terms ... 
Predicting solvation free energies and thermodynamics in polar solvents and mixtures using a solvationlayer interface condition
(2017)We demonstrate that with two small modifications, the popular dielectric continuum model is capable of predicting, with high accuracy, ion solvation thermodynamics (Gibbs free energies, entropies, and heat capacities) in ... 
Reconstruction of Lamé Moduli and Density at the Boundary Enabling Directional Elastic Wavefield Decomposition
(2017)We consider the inverse boundary value problem for the system of equations describing elastic waves in isotropic media on a bounded domain in $\mathbb{R}^3$ via a finitetime Laplace transform. The data are the dynamical ... 
ResidualBased Adaptivity and PWDG Methods for the Helmholtz Equation
(2015)We present a study of two residual a posteriori error indicators for the plane wave discontinuous Galerkin (PWDG) method for the Helmholtz equation. In particular, we study the $h$version of PWDG in which the number of ... 
Ritz Value for NonHermitian Matrices
(2012)RayleighRitz eigenvalue estimates for Hermitian matrices obey Cauchy interlacing, which has helpful implications for theory, applications, and algorithms. In contrast, few results about the Ritz values of nonHermitian ... 
Scattering and dip angle decomposition based on subsurface offset extended waveequation migration
(2016)An angledependent reflection coefficient is recovered by seismic migration in the angle domain. We have developed a postmigration technique for computing scattering and dip angle commonimage gathers (CIGs) from seismic ... 
Shape Optimization of Shell Structure Acoustics
(2017)This paper provides a rigorous framework for the numerical solution of shape optimization problems in shell structure acoustics using a referencedomain approach. The structure is modeled with Naghdi shell equations, fully ... 
Shortterm Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices
(2012)The progressive GMRES algorithm, introduced by Beckermann and Reichel in 2008, is a residualminimizing shortrecurrence Krylov subspace method for solving a linear system in which the coefficient matrix has a lowrank ... 
Synthetic Aperture Radar Imaging and Motion Estimation via Robust Principal Component Analysis
(20120822)We consider the problem of synthetic aperture radar (SAR) imaging and motion estimation of complex scenes. By complex we mean scenes with multiple targets, stationary and in motion. We use the usual setup with one moving ... 
TimeDependent Coupling of NavierStokes and Darcy Flows
(2013)A weak solution of the coupling of timedependent incompressible NavierﾖStokes equations with Darcy equations is defined. The interface conditions include the BeaversﾖJosephﾖSaffman condition. Existence and uniqueness of ... 
A Topological Model of the Hippocampal Cell Assembly Network
(2016)It is widely accepted that the hippocampal place cells' spiking activity produces a cognitive map of space. However, many details of this representation's physiological mechanism remain unknown. For example, it is believed ... 
Topological Schemas of Cognitive Maps and Spatial Learning
(2016)Spatial navigation in mammals is based on building a mental representation of their environmenta cognitive map. However, both the nature of this cognitive map and its underpinning in neural structures and activity remains ...