The Automatic Integration of Ordinary Differential Equations

C. W. Gear

doi:10.1145/362566.362571

The Automatic Integration of Ordinary Differential Equations

C. W. Gear

Chemical & Biological Engineering

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

602 Scopus citations

Abstract

An integration technique for the automatic solution of an initial value problem for a set of ordinary differential equations is described. A criterion for the selection of the order of approximation is proposed. The objective of the criterion is to increase the step size so as to reduce solution time. An option permits the solution of “stiff” differential equations. A program embodying the techniques discussed appears in Algorithm 407.

Original language	English (US)
Pages (from-to)	176-179
Number of pages	4
Journal	Communications of the ACM
Volume	14
Issue number	3
DOIs	https://doi.org/10.1145/362566.362571
State	Published - Mar 1 1971

All Science Journal Classification (ASJC) codes

General Computer Science

Keywords

differential equations
integration
order control
step control
stiff equations

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10.1145/362566.362571

Cite this

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KW - integration

KW - order control

KW - step control

KW - stiff equations

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The Automatic Integration of Ordinary Differential Equations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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