On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages (Q2379358)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages |
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On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages (English)
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19 March 2010
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The authors provide sufficient conditions for the existence of symplectic Runge-Kutta methods of stage \(2s\) that integrate exactly initial value problems whose exact solution is a trigonometric polynomial of order \(s\) with a prescribed frequency. Then, they describe how to construct such formulas and provide an analysis of their fundamental properties. Numerical examples are discussed too.
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trigonometric fitting
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symmetry
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symplectic
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oscillatory
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Hamiltonian system
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symplectic Runge-Kutta methods
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initial value problems
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numerical examples
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