Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems (Q1861976)
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scientific article; zbMATH DE number 1879025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems |
scientific article; zbMATH DE number 1879025 |
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Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems (English)
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10 March 2003
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The authors present a family of starting algorithms for Newton schemes for solving the equations in an implicit Runge-Kutta method. The algorithm is based on the Lagrangian interpolation of the last two integration steps. They show by numerical experiments that the technique improves the performance of implicit Runge-Kutta methods for stiff problems.
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stiff initial value problems
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implicit Runge-Kutta methods
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starting algorithms
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Newton schemes
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numerical experiments
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