Browsing Computational and Applied Mathematics by Title
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Levetiracetam mitigates doxorubicininduced DNA and synaptic damage in neurons
(2016)Neurotoxicity may occur in cancer patients and survivors during or after chemotherapy. Cognitive deficits associated with neurotoxicity can be subtle or disabling and frequently include disturbances in memory, attention, ... 
Limited Memory Block Krylov Subspace Optimization for Computing Dominant Singular Value Decompositions
(2013)In many dataintensive applications, the use of principal component analysis and other related techniques is ubiquitous for dimension reduction, data mining, or other transformational purposes. Such transformations often ... 
Local Error Analysis of Discontinuous Galerkin Methods for AdvectionDominated Elliptic LinearQuadratic Optimal Control Problems
(20120815)This paper analyzes the local properties of the symmetric interior penalty upwind discontinuous Galerkin (SIPG) method for the numerical solution of optimal control problems governed by linear reactionadvectiondiffusion ... 
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. ... 
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 ... 
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 ... 
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 ... 
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 ... 
A TrustRegion Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty
(2013)The numerical solution of optimization problems governed by partial differential equations (PDEs) with random coefficients is computationally challenging because of the large number of deterministic PDE solves required at ...