Classification of high-order implicit Runge-Kutta methods (Q2708031)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of high-order implicit Runge-Kutta methods |
scientific article |
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17 April 2001
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high-order implicit Runge-Kutta methods
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Gaussians nodes
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symmetry
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symplectic
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algebraic stability
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stiff accuracy
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quadrature formulas
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0.9275103
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0.9172975
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0.9005894
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0.8997947
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0.89574754
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0.8848518
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Classification of high-order implicit Runge-Kutta methods (English)
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The authors discuss high-order Runge-Kutta methods with abscissas based on the Legendre polynomials including methods based on quadrature formulas. They give simple expressions for the conditions for symmetry, symplecticity, algebraic stability, and stiff accuracy, and show how to construct methods possessing combinations of these properties.
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