Linearly implicit Runge-Kutta methods and approximate matrix factorization. (Q1772794)
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scientific article; zbMATH DE number 2160258
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linearly implicit Runge-Kutta methods and approximate matrix factorization. |
scientific article; zbMATH DE number 2160258 |
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Linearly implicit Runge-Kutta methods and approximate matrix factorization. (English)
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21 April 2005
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The paper deals with the analysis of the use of approximate matrix factorization for solving the stage equations in linearly implicit Runge-Kutta methods. The authors derive a correction which allows an order two and preserve the main stability properties of the linearly implicit Runge-Kutta method. This is illustrated on the taxis-diffusion-reaction systems from mathematical biology.
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PDEs
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Taxis-diffusion-reaction problems
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method of lines
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linearly implicit Runge-Kutta methods
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approximate matrix factorization
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stability
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