Stability of invariant regions for an alternating direction method for systems of nonlinear reaction-diffusion equations
type: Item
instance of: scholarly article
title: Stability of invariant regions for an alternating direction method for systems of nonlinear reaction-diffusion equations
zbMATH Open document ID: 0517.65072
DOI: 10.1007/BF02575805
author: C. Mastroserio
author: M. Montrone
published in: Calcolo
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3819015
zbMATH Keywords: invariant regions
zbMATH Keywords: alternating direction method
zbMATH Keywords: nonlinear reaction- diffusion equations
zbMATH Keywords: time-independent error bound
zbMATH Keywords: mild nonlinearity
MaRDI profile type: Publication
cites work: Q5624066
cites work: Q5655243
cites work: Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
cites work: Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model
cites work: Stability Results for Semilinear Evolution Equations and Their Application to Some Reaction-Diffusion Problems
cites work: Q4146022
cites work: Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
cites work: Alternating Direction Methods for Nonlinear Time-Dependent Problems
cites work: A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
cites work: Alternating Direction Methods for Parabolic Systems in m Space Variables
cites work: Decay to spatially homogeneous states for the numerical solution of reaction-diffusion systems
cites work: Q4749154
cites work: Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
cites work: Q4152117
cites work: Q5513850
cites work: Q5536978
cites work: Q5342712
full work available at URL: https://doi.org/10.1007/bf02575805
OpenAlex ID: W1994223459
description: scientific article; zbMATH DE number 3819015