The positivity of low-order explicit Runge-Kutta schemes applied in splitting methods. (Q1416373)
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scientific article; zbMATH DE number 2017177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The positivity of low-order explicit Runge-Kutta schemes applied in splitting methods. |
scientific article; zbMATH DE number 2017177 |
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The positivity of low-order explicit Runge-Kutta schemes applied in splitting methods. (English)
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14 December 2003
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This paper is concerned with the study of explicit Runge-Kutta schemes in implicit-explicit splitting methods. A three-stage second order explicit Runge-Kutta method is proposed which has optimized positivity properties. The method compares well with standard s-stage Runge-Kutta schemes of order \(s, s=2,3\). Numerical results are also presented.
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implicit-explicit splitting methods
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positivity
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explicit Runge-Kutta methods
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numerical results
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