Symmetric multistep methods over long times (Q1889899)
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scientific article; zbMATH DE number 2121823
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetric multistep methods over long times |
scientific article; zbMATH DE number 2121823 |
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Symmetric multistep methods over long times (English)
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13 December 2004
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The authors provide a theoretical explanation of the empirically observed excellent long time behaviour of symmetric multistep methods in the numerical integration of Newtonian equations of motion. The main tool is a backward error analysis based on modified differential equations. It allows in particular for the derivation of long time bounds for parasitic solution components. Special attention is given to the conservation of energy and angular momentum.
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symmetric multistep method
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long time behaviour
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modified equation
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backward error analysis
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Newtonian equations of motion
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parasitic solution
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