Browsing Computational and Applied Mathematics by Title
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Necessary and Sufficient Conditions of Solution Uniqueness in l1 Minimizationms
(201208)This paper shows that the solutions to various convex l1 minimization problems are unique if and only if a common set of conditions are satisfied. This result applies broadly to the basis pursuit model, basis pursuit ... 
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 ... 
NonInteractive Estimation of the Marmousi Velocity Model by Differential Semblance Optimization: Initial Trials
(199011)A subset of the Marmousi data is processed to yield an initial approximation to a kinematic velocity model. The process described is the first step in a gradient iteration scheme for a modified leastsquares inversion ... 
Noniterative Domain Decomposition for Second Order Hyperbolic Problems
(199305)The solutions of damped second order hyperbolic problems can have smooth components which decay slowly and rough components which decay quickly. If the behavior of the solution is of interest on the time scale of the ... 
Nonlinear Model Reduction via Discrete Empirical Interpolation
(201107)This thesis proposes a model reduction technique for nonlinear dynamical systems based upon combining Proper Orthogonal Decomposition (POD) and a new method, called the Discrete Empirical Interpolation Method (DEIM). The ... 
Nonlinear Multicriteria Optimization and Robust Optimality
(199704)This dissertation attempts to address two important problems in systems engineering, namely, multicriteria optimization and robustness optimization. In fields ranging from engineering to the social sciences, designers are ... 
Nonlinear Programming by Mesh Adaptive Direct Searches
(200510)This paper is intended not as a survey, but as an introduction to some ideas behind the class of mesh adaptive direct search (MADS) methods. Space limitations dictate a brief description of various key topics be provided ... 
Nonlinear Waveform Inversion with SurfaceOriented Extended Modeling
(201703)This thesis investigates surfaceoriented model extension approach to nonlinear full waveform inversion (FWI). Conventional leastsquares (LS) approach is capable of reconstructing highly detailed models of subsurface. ... 
Nonnormality in Lyapunov Equations
(201605)The singular values of the solution to a Lyapunov equation determine the potential accuracy of the lowrank approximations constructed by iterative methods. Lowrank solutions are more accurate if most of the singular ... 
Nonparametric Mode Estimation for Higher Dimensional Densities
(198311)In this study a family of estimators is developed for local maxima, or modes, of a multivariate probability density function. The mode estimators are computationally feasible iterative optimization procedures utilizing ... 
NormalBoundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems
(199607)This paper proposes an alternate method for finding several Pareto optimal points for a general nonlinear multicriteria optimization problem. Such points collectively capture the tradeoff among the various conflicting ... 
Notes on Combinatorial Optimization
(198710) 
Novel Techniques for the ZeroForcing and pMedian Graph Location Problems
(201705)This thesis presents new methods for solving two graph location problems, the pMedian problem and the zeroforcing problem. For the pmedian problem, I present a branch decomposition based method that finds the best ... 
Numerical Experience with a PolyhedralNorm CDT TrustRegion Algorithm
(199306)In this paper, we study the modification of the CelisDennisTapia trustregion subproblem which is obtained by replacing the l² norm with a polyhedral norm. The polyhedral norm CDT subproblem can be solved using a standard ... 
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 ... 
Numerical Methods and Applications for Reduced Models of Blood Flow
(201705)The human cardiovascular system is a vastly complex collection of interacting components, including vessels, organ systems, valves, regulatory mechanisms, mi crocirculations, remodeling tissue, and electrophysiological ... 
Numerical Methods for Modeling Atomistic Trajectories with Diffusion SDEs
(200808)The stochastic dynamics of small scale systems are often not known fromﾠa prioriﾠphysical considerations. We present datadriven numerical methods which can be used to approximate the nonlinear stochastic dynamics associated ... 
Numerical Methods for the Simulation of Flow in RootSoil Systems
(199104)We consider the numerical properties of approximation schemes for a model that simulates water transport in rootsoil systems. The model given in this paper is a reformulation of a previously proposed model now defined ... 
Numerical Optimization Using Computer Experiments
(199703)Engineering design optimization often gives rise to problems in which expensive objective functions are minimized by derivativefree methods. We propose a method for solving such problems that synthesizes ideas from the ...