A study of B-convergence of Runge-Kutta methods (Q1062432)
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scientific article; zbMATH DE number 3913577
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A study of B-convergence of Runge-Kutta methods |
scientific article; zbMATH DE number 3913577 |
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A study of B-convergence of Runge-Kutta methods (English)
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1986
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This paper deals with the convergence analysis of implicit Runge-Kutta methods as applied to stiff, semilinear systems of the form \(\dot U(\)t)\(=QU(t)+g(t,U(t))\). A criterion is developed which determines whether the order of optimal B-convergence is at least equal to the stage order or one order higher. This criterion is studied for a number of interesting classes of methods.
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stiff problems
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B-convergence
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Runge-Kutta methods
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