A variational principle for adaptive approximation of ordinary differential equations (Q1434050)
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scientific article; zbMATH DE number 2077939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variational principle for adaptive approximation of ordinary differential equations |
scientific article; zbMATH DE number 2077939 |
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A variational principle for adaptive approximation of ordinary differential equations (English)
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1 July 2004
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The authors present an estimate for the global error in the numerical solution of an ordinary differential equation as a weighted sum of the local errors where the weights are found by solving the adjoint of the linearized equation. They also show that the estimate coincides to lowest order with several alternative estimates.
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adaptive approximation
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local error
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global error
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