Issues in the numerical solution of evolutionary delay differential equations (Q1899286)
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scientific article; zbMATH DE number 803472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Issues in the numerical solution of evolutionary delay differential equations |
scientific article; zbMATH DE number 803472 |
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Issues in the numerical solution of evolutionary delay differential equations (English)
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9 October 1995
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This is a comprehensive survey article on the numerical treatment of delay differential equations. It starts with some simple examples and with analytical properties: step by step solution, qualitative properties, stability, and propagation of discontinuities. Then, the following numerical issues are discussed: use of dense output, numerical stability and order, choice between multistep and Runge-Kutta methods, tracking discontinuities, treatment of vanishing lag. It concludes with a list of 95 references.
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survey article
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delay differential equations
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stability
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Runge-Kutta methods
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discontinuities
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