Are high order variable step equistage initializers better than standard starting algorithms? (Q1877181)
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scientific article; zbMATH DE number 2091413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Are high order variable step equistage initializers better than standard starting algorithms? |
scientific article; zbMATH DE number 2091413 |
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Are high order variable step equistage initializers better than standard starting algorithms? (English)
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16 August 2004
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The Butcher theory for order conditions is used to construct a fourth order starting method for variable step implicit Runge-Kutta methods of stage order three or more. The approach is based on the construction of an initial iterate for each stage that only involves values of that stage at several previous steps. An implementation with RADAUS is given but numerical results show that there is nothing to be gained in comparison with a standard collocation approach, due to the size of the error constants.
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starting algorithms
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comparison of methods
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variable step implicit Runge-Kutta methods
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RADAUS
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numerical results
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