Analysis of stepsize selection schemes for Runge-Kutta codes

G. Hall; D.J. Higham

doi:10.1093/imanum/8.3.305

Analysis of stepsize selection schemes for Runge-Kutta codes

G. Hall, D.J. Higham

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

Conditions on Runge-Kutta algorithms can be obtained which ensure smooth stepsize selection when stability of the algorithm is restricting the stepsize. Some recently derived results are shown to hold for a more general test problem.

Original language	English
Pages (from-to)	305-310
Number of pages	5
Journal	IMA Journal of Numerical Analysis
Volume	8
Issue number	3
DOIs	https://doi.org/10.1093/imanum/8.3.305
Publication status	Published - Jul 1988

Keywords

Rungr-Kutta methods
numerical mathematics
computer science
stepsize selection

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10.1093/imanum/8.3.305

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title = "Analysis of stepsize selection schemes for Runge-Kutta codes",

abstract = "Conditions on Runge-Kutta algorithms can be obtained which ensure smooth stepsize selection when stability of the algorithm is restricting the stepsize. Some recently derived results are shown to hold for a more general test problem.",

keywords = "Rungr-Kutta methods, numerical mathematics, computer science, stepsize selection",

author = "G. Hall and D.J. Higham",

year = "1988",

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AU - Higham, D.J.

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AB - Conditions on Runge-Kutta algorithms can be obtained which ensure smooth stepsize selection when stability of the algorithm is restricting the stepsize. Some recently derived results are shown to hold for a more general test problem.

KW - Rungr-Kutta methods

KW - numerical mathematics

KW - computer science

KW - stepsize selection

U2 - 10.1093/imanum/8.3.305

DO - 10.1093/imanum/8.3.305

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EP - 310

JO - IMA Journal of Numerical Analysis

JF - IMA Journal of Numerical Analysis

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ER -

Analysis of stepsize selection schemes for Runge-Kutta codes

Abstract

Keywords

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