A nonlinear optimization approach to the construction of general linear methods of high order (Q1362409)
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scientific article; zbMATH DE number 1043281
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nonlinear optimization approach to the construction of general linear methods of high order |
scientific article; zbMATH DE number 1043281 |
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A nonlinear optimization approach to the construction of general linear methods of high order (English)
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11 December 1997
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The construction of diagonally implicit multistage integration methods of order and stage order \(p=q=7\) and \(p=q=8\) is presented. Both type 1 (explicit) and type 2 (implicit) methods are obtained. The construction is based on the variable-model trust-region least-squares algorithms.
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general linear methods
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A-stability
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L-stability
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least-squares minimization
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diagonally implicit multistage integration methods
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0.9067761
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0.9020004
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0.8972816
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0.89415425
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0.89218205
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0.8921509
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0.89121234
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0.88659406
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