Split linear multistep methods for the numerical integration of stiff differential systems
type: Item
instance of: scholarly article
title: Split linear multistep methods for the numerical integration of stiff differential systems
zbMATH Open document ID: 0546.65049
DOI: 10.1007/BF01389575
published in: Numerische Mathematik
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/132878
review text: The author suggests a new approach to numerical integration of the following problem for a stiff differential system \(dy/dx=f(x,y)\), \(y(x_ 0)=y_ 0\), \(y\in R^ s\). Besides, a linear multistep method is split into a predictor-corrector scheme where predictor is implicit. The above splitting enlarges the stability of the method. Numerical results, illustrating the advantages of the suggested approach, are given.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 3870513
zbMATH Keywords: stiff systems
zbMATH Keywords: linear multistep method
zbMATH Keywords: predictor-corrector scheme
zbMATH Keywords: splitting
zbMATH Keywords: enlarging stability
author: Jeff R. Cash
describes a project that uses: GEAR
MaRDI profile type: Publication
cites work: A special stability problem for linear multistep methods
cites work: Comparing numerical methods for stiff systems of O.D.E:s
cites work: Q3525855
cites work: An Alternative Implementation of Variable Step-Size Multistep Formulas for Stiff ODEs
cites work: Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
cites work: The control of order and steplength for backward differentiation methods
OpenAlex ID: W2015517699
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description: scientific article; zbMATH DE number 3870513