Convergence of parallel multistep hybrid methods for singular perturbation problems
type: Item
instance of: scholarly article
title: Convergence of parallel multistep hybrid methods for singular perturbation problems
zbMATH Open document ID: 1178.65092
published in: Applied Mathematics and Computation
publication date: 2009-11-23T00:00:00Z
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 5636975
zbMATH Keywords: initial value problems
zbMATH Keywords: singular perturbation
zbMATH Keywords: parallel multistep hybrid methods
zbMATH Keywords: convergence
zbMATH Keywords: parallel computation
zbMATH Keywords: comparison of methods
zbMATH Keywords: backward differentiation formula (BDF) methods
zbMATH Keywords: stability
zbMATH Keywords: stiff differential equations
zbMATH Keywords: error analysis
zbMATH Keywords: linear multistep methods
zbMATH Keywords: numerical examples
author: Aiguo Xiao
author: Yongxiang Zhao
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: j.amc.2009.08.004
OpenAlex ID: W2142246346
cites work: Q4714145
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cites work: On the convergence of multistep methods for nonlinear stiff differential equations
cites work: Invariant manifolds and global error estimates of numerical integration schemes applied to stiff systems of singular perturbation type. II: Linear multistep methods
cites work: Order results for Rosenbrock type methods on classes of stiff equations
cites work: On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential algebraic systems
cites work: Convergence results for general linear methods on singular perturbation problems
cites work: Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems
cites work: Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems
cites work: Q3147251
cites work: Convergence of linear multistep methods for two-parameter singular perturbation problems
cites work: Extending convergence of BDF methods for a class of nonlinear strongly stiff problems
cites work: Singular perturbation methods for ordinary differential equations
DOI: 10.1016/J.AMC.2009.08.004
description: scientific article; zbMATH DE number 5636975