Block monotone iterative methods for numerical solutions of nonlinear elliptic equations
type: Item
instance of: scholarly article
title: Block monotone iterative methods for numerical solutions of nonlinear elliptic equations
zbMATH Open document ID: 0838.65104
author: C. V. Pao
published in: Numerische Mathematik
publication date: 1996-06-09T00:00:00Z
review text: The problems considered are second-order nonlinear elliptic boundary-value problems on domains in the plane. The author shows that for the standard difference schemes there exists a preconditioning for which the corresponding block Picard, Jacobi, and Gauss-Seidel iterative methods converge monotonically. The efficacy of these methods is illustrated by an application to the logistic equation.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 839157
zbMATH Keywords: block iterative methods
zbMATH Keywords: monotone convergence
zbMATH Keywords: second-order nonlinear elliptic boundary value problems
zbMATH Keywords: difference schemes
zbMATH Keywords: preconditioning
zbMATH Keywords: logistic equation
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
full work available at URL: s002110050168
OpenAlex ID: W2064219620
DOI: 10.1007/S002110050168
description: scientific article; zbMATH DE number 839157