Explicit single step methods with optimal order of convergence for partial differential equations (Q1807653)
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scientific article; zbMATH DE number 1367735
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit single step methods with optimal order of convergence for partial differential equations |
scientific article; zbMATH DE number 1367735 |
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Explicit single step methods with optimal order of convergence for partial differential equations (English)
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20 July 2000
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The author defines a class of methods for the time-discretization of linear time-dependent partial differential equations on the framework of explicit Runge-Kutta methods. The bounding conditions of the original problem are incorporated to the full scheme in order to get the optimal order of convergence. The results are illustrated numerically.
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method of lines
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order reduction
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numerical examples
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explicit single step methods
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time-discretization
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explicit Runge-Kutta methods
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convergence
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