On the convergence of Runge-Kutta methods for stiff nonlinear differential equations (Q1279836)
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scientific article; zbMATH DE number 1251314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of Runge-Kutta methods for stiff nonlinear differential equations |
scientific article; zbMATH DE number 1251314 |
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On the convergence of Runge-Kutta methods for stiff nonlinear differential equations (English)
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16 September 1999
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The convergence properties of general Runge-Kutta methods when are applied to a special class of stiff nonlinear initial value problems are studied. The obtained result is that under weaker assumptions on the coefficients of a Runge-Kutta method than in the theory of \(B\)-convergence, it is possible to prove convergence of the method for stiff nonlinear initial value problems. Results on the existence and uniqueness of the Runge-Kutta solution are finally described.
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Runge-Kutta methods
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stiff nonlinear initial value problems
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convergence
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