Now showing items 1-10 of 209
Solution of Large-Scale Lyapunov Equations via the Block Modified Smith Methods
Balanced truncation is an attractive method for reducing the dimension of mediumscale dynamical systems. Research in recent years has brought approximate balanced truncation to the large-scale setting. At the heart of this ...
Filtering Random Layering Effects For Imaging and Velocity Estimation
Imaging compactly supported reflectors in highly heterogeneous media is a challenging problem due to the significant interaction of waves with the medium which causes considerable delay spread and loss of coherence. The ...
Adaptive Finite Element Methods for Linear-Quadratic Convection Dominated Elliptic Optimal Control Problems
The numerical solution of linear-quadratic elliptic optimal control problems requires the solution of a coupled system of elliptic partial differential equations (PDEs), consisting of the so-called state PDE, the adjoint ...
Sparse Signal Reconstruction via Iterative Support Detection
We present a novel sparse signal reconstruction method "ISD", aiming to achieve fast reconstruction and a reduced requirement on the number of measurements compared to the classical L1 minimization approach. ISD addresses ...
A Random Force is a Force, of Course, of Coarse: Decomposing Complex Enzyme Kinetics with Surrogate Models
The temporal autocorrelation (AC) function associated with monitoring order parameters characterizing conformational fluctuations of an enzyme is analyzed using a collection of surrogate models. The surrogates considered ...
Application of POD and DEIM to Dimension Reduction of Nonlinear Miscible Viscous Fingering in Porous Media
A Discrete Empirical Interpolation Method (DEIM) is applied in conjunction with Proper Orthogonal Decomposition (POD) to construct a nonlinear reduced-order model of finite difference discretized system used in the simulation ...
Convergence of a Discontinuous Galerkin Method For the Miscible Displacement Under Minimal Regularity
Discontinuous Galerkin time discretizations are combined with the mixed finite element and continuous finite element methods to solve the miscible displacement problem. Stable schemes of arbitrary order in space and time ...
Accelerating the LSTRS Algorithm
In a recent paper [Rojas, Santos, Sorensen: ACM ToMS 34 (2008), Article 11] an efficient method for solvingthe Large-Scale Trust-Region Subproblem was suggested which is based on recasting it in terms of a parameter dependent ...
A Simple Algorithm For the Inverse Field of Values Problem
The field of values of a matrix is the closed convex subset of the complex plane comprising all Rayleigh quotients, a set of interest in the stability analysis of dynamical systems and convergence theory of matrix iterations, ...
User's Guide for LMaFit: Low-rank Matrix Fitting
This User's Guide describes the functionality and basic usage of the Matlab package LMaFit for low-rank matrix optimization. It also briefly explains the formulations and algorithms used.