A stepsize control strategy for stiff systems of ordinary differential equations
type: Item
instance of: scholarly article
title: A stepsize control strategy for stiff systems of ordinary differential equations
zbMATH Open document ID: 0819.65115
DOI: 10.1016/0168-9274(94)00042-5
author: Peter K. Moore
author: Linda Petzold
published in: Applied Numerical Mathematics
publication date: 1994-12-01T00:00:00Z
review text: Numerical experiments with the code DASSL illustrate that the standard stepsize control mechanism may produce unexpected reductions in the stepsize. This phenomenon is analyzed at the standard test problem for stiff differential equations and a new stepsize selection strategy is developped. Comparisons with the standard strategy as well as with the PI controllers of \textit{K. Gustafsson}, \textit{M. Lundh} and \textit{G. Soederlind}, [BIT 28, No. 2, 270-287 (1988; Zbl 0645.65039)] are presented. They show a dramatic improvement of the new strategy.
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34E13
zbMATH DE Number: 699082
zbMATH Keywords: stiff systems
zbMATH Keywords: stiff differential equations
zbMATH Keywords: numerical experiments
zbMATH Keywords: stepsize control
zbMATH Keywords: stepsize selection strategy
zbMATH Keywords: PI controllers
reviewed by: Ernst Hairer
describes a project that uses: ODEPACK
MaRDI profile type: Publication
full work available at URL: 0168-9274(94)00042-5
OpenAlex ID: W1989248087
cites work: Developing software for time-dependent problems using the method of lines and differential-algebraic integrators
cites work: Q3993493
cites work: Q3702408
cites work: Comparing numerical methods for stiff systems of O.D.E:s
cites work: A PI stepsize control for the numerical solution of ordinary differential equations
cites work: Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
Wikidata QID: Q126866954
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description: scientific article; zbMATH DE number 699082