A composite integration scheme for the numerical solution of systems of ordinary differential equations (Q1115117)
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scientific article; zbMATH DE number 4086918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A composite integration scheme for the numerical solution of systems of ordinary differential equations |
scientific article; zbMATH DE number 4086918 |
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A composite integration scheme for the numerical solution of systems of ordinary differential equations (English)
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1989
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The author constructs a second-order, L-stable composite multistep method and provides a formula for the estimation of the local truncation error. Although this remark is not made in the paper, the new method can be viewed as a diagonally-implicit, three-stage Runge-Kutta scheme whose Butcher matrix satisfies \(a_{11}=0\), \(a_{22}=a_{33}\). Numerical examples are given.
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composite method
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L-stability
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second-order, L-stable composite multistep method
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local truncation error
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diagonally-implicit, three-stage Runge- Kutta scheme
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Numerical examples
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