A stepsize control strategy for stiff systems of ordinary differential equations (Q1339344)
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scientific article; zbMATH DE number 699082
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A stepsize control strategy for stiff systems of ordinary differential equations |
scientific article; zbMATH DE number 699082 |
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A stepsize control strategy for stiff systems of ordinary differential equations (English)
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1 December 1994
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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.
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stiff systems
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stiff differential equations
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numerical experiments
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stepsize control
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stepsize selection strategy
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PI controllers
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0.9209347
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0.89926463
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0.89769053
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0.8968121
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0.8907264
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0.8902149
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