The construction of order 4 DIMSIMs for ordinary differential equations (Q5934371)
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scientific article; zbMATH DE number 1606684
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The construction of order 4 DIMSIMs for ordinary differential equations |
scientific article; zbMATH DE number 1606684 |
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The construction of order 4 DIMSIMs for ordinary differential equations (English)
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19 June 2001
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The construction of order 4 diagonally implicit multistage integration methods (DIMSIMs) of type 1 and 2 for stiff and non-stiff problems is discussed. These methods are found using Maple after the application of a suitably chosen transformation. The Nordsieck representation of these DIMSIMs formulas leads to a zero stable process. Type 2 methods are selected to have both A-stability and L-stability properties.
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Runge-Kutta stability
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variable stepsize
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stiff problems
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A-stability
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L-stability
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diagonally implicit multistage integration methods
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