Runge-Kutta Starters for Multistep Methods

C. W. Gear

doi:10.1145/355900.355901

Runge-Kutta Starters for Multistep Methods

C. W. Gear

Chemical & Biological Engineering

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

42 Scopus citations

Abstract

Runge-Kutta-like formulas which enable a multmtep method to start or restart at a high order after lust one Runge-Kutta (RK) step are presented. These formulas greatly improve the efficiency of mnltistep methods in a situation m which they were previously out performed by RK methodsi e., m which there are problems with frequent dlscontinmties or sudden large increases in derivatives, all of which cause an automatic program to reduce order and step size suddenly.

Original language	English (US)
Pages (from-to)	263-279
Number of pages	17
Journal	ACM Transactions on Mathematical Software (TOMS)
Volume	6
Issue number	3
DOIs	https://doi.org/10.1145/355900.355901
State	Published - Sep 1 1980

All Science Journal Classification (ASJC) codes

Software
Applied Mathematics

Keywords

Runge-Kutta
integration
mnltistep
ordinary dfferential equations

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10.1145/355900.355901

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AB - Runge-Kutta-like formulas which enable a multmtep method to start or restart at a high order after lust one Runge-Kutta (RK) step are presented. These formulas greatly improve the efficiency of mnltistep methods in a situation m which they were previously out performed by RK methodsi e., m which there are problems with frequent dlscontinmties or sudden large increases in derivatives, all of which cause an automatic program to reduce order and step size suddenly.

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KW - mnltistep

KW - ordinary dfferential equations

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Runge-Kutta Starters for Multistep Methods

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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