Symplectic Runge-Kutta methods from the viewpoint of symmetry (Q2724780)
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scientific article; zbMATH DE number 1618207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic Runge-Kutta methods from the viewpoint of symmetry |
scientific article; zbMATH DE number 1618207 |
Statements
12 July 2001
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Weinstein generating function
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symplectic mappings
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symplectic Runge-Kutta methods
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symmetric Runge-Kutta methods
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Hamiltonian systems
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Symplectic Runge-Kutta methods from the viewpoint of symmetry (English)
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A close relation of the Weinstein generating function (used to represent symplectic mappings) to symplectic Runge-Kutta methods is pointed out. The symplectic properties of symmetric Runge-Kutta methods with \(M= 0\) are discussed, and their potential to produce stable numerical solutions to large Hamiltonian systems is revealed.
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