High order optimized geometric integrators for linear differential equations (Q698563)
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scientific article; zbMATH DE number 1803309
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High order optimized geometric integrators for linear differential equations |
scientific article; zbMATH DE number 1803309 |
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High order optimized geometric integrators for linear differential equations (English)
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6 April 2003
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New methods of up to order 8, which are optimal in terms of the number of commutators required are constructed by the use of the Magnus, symmetric Fer and Cayley expansions for solving linear differential equations. In particular, time symmetric methods of orders 4, 6 and 8 with 1, 3 and 7 commutators are constructed and tested on some numerical problems.
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numerical examples
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Magnus, symmetric Fer and Cayley expansions
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linear differential equations
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time symmetric methods
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0.9100998
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0.8925224
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0.8810483
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0.8796486
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0.8792671
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