A generalization to variable stepsizes of Störmer methods for second-order differential equations (Q1917431)
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scientific article; zbMATH DE number 897520
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization to variable stepsizes of Störmer methods for second-order differential equations |
scientific article; zbMATH DE number 897520 |
Statements
A generalization to variable stepsizes of Störmer methods for second-order differential equations (English)
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24 February 1997
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An extension to the multistep Störmer method for variable stepsize is presented. The stability and convergence of the new method are examined and a numerical study is carried out. The conclusion is that the new method, for the problems investigated, compares to other multistep methods but is inferior to modern Runge-Kutta-Nyström methods. However, due to slower error growth, some advantage might exist for long-time integrations.
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multistep Störmer method
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variable stepsize
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stability
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convergence
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Runge-Kutta-Nyström methods
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0.9021423
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0.89663625
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0.89340526
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0.8889355
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0.8886515
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