Variable-order, variable-step methods for second-order initial-value problems (Q1356998)
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scientific article; zbMATH DE number 1022223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variable-order, variable-step methods for second-order initial-value problems |
scientific article; zbMATH DE number 1022223 |
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Variable-order, variable-step methods for second-order initial-value problems (English)
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11 November 1997
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A variable-order, variable-step algorithm for solving second-order initial value problems with oscillating solution is produced. This algorithm is based on second-, fourth-, sixth- and eighth-order P-stable methods developed by the authors previously. The methods are derived in order to satisfy the order and P-stability conditions. In this paper the emphasis is on the combination of second-, fourth-, sixth- and eighth-order P-stable methods in a variable-step, variable-order algorithm in such a way that computational efficiency can be obtained.
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second-order initial value problems
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oscillation problems
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variable-order variable-step algorithm
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P-stability
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