Linearized factorization techniques for multidimensional reaction-diffusion equations
type: Item
instance of: scholarly article
title: Linearized factorization techniques for multidimensional reaction-diffusion equations
zbMATH Open document ID: 0929.65062
DOI: 10.1016/S0096-3003(98)00023-X
published in: Applied Mathematics and Computation
publication date: 2000-02-03T00:00:00Z
review text: An iterative predictor-corrector technique for the elimination of the approximate factorization errors which result from the factorization of linearized theta-methods in multidimensional reaction-diffusion equations is proposed, and its convergence and linear stability analyzed. Four approximate factorization techniques which do not account for the approximate factorization errors are developed.
reviewed by: Michael Sever
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1311078
zbMATH Keywords: predictor-corrector methods
zbMATH Keywords: theta-methods
zbMATH Keywords: reaction-diffusion equations
zbMATH Keywords: convergence
zbMATH Keywords: stability
author: Juan I. Ramos
MaRDI profile type: Publication
cites work: Linearized \(\Theta\)-methods. I: Ordinary differential equations
cites work: Linearized \(\Theta\)-methods. II: Reaction-diffusion equations
cites work: On the Construction and Comparison of Difference Schemes
cites work: On the structure and use of linearized block implicit schemes
cites work: An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
cites work: Approximate factorization as a high order splitting for the implicit incompressible flow equations
cites work: Methods for Reducing Approximate-Factorization Errors in Two- and Three-Factored Schemes
full work available at URL: s0096-3003(98)00023-x
OpenAlex ID: W2127010348
description: scientific article; zbMATH DE number 1311078