Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability (Q1914620)
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scientific article; zbMATH DE number 892422
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability |
scientific article; zbMATH DE number 892422 |
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Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability (English)
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29 July 1996
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When using a partitioning of ordinary differential equations (ODEs) into stiff and nonstiff subsystems there exist codes that vary the order of the method for each equation in the system. First the reasons that justify the need to vary the order for each equation in codes that do partitioning or those that are componentwise type-insensitive are presented. Next, the existence of an absolute stability region when the order of the Adams explicit method is varied componentwise is proved.
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multistep methods
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stiff systems
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absolute stability region
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Adams explicit method
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