Comment on ``Poisson schemes for Hamiltonian systems on Poisson manifolds'' (Q1346837)
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scientific article; zbMATH DE number 737498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Comment on ``Poisson schemes for Hamiltonian systems on Poisson manifolds'' |
scientific article; zbMATH DE number 737498 |
Statements
Comment on ``Poisson schemes for Hamiltonian systems on Poisson manifolds'' (English)
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27 March 1995
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In the paper by \textit{W. Zhu} and \textit{M. Qin} [ibid. 27, No. 12, 7-16 (1994; Zbl 0807.58018)] the authors concluded that among the symplectic Runge-Kutta methods, only the diagonally implicit ones are Poisson. In this short remark the author shows that all symplectic Runge-Kutta methods are Poisson because Runge-Kutta methods are equivariant under linear maps.
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Poisson structure
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Runge-Kutta methods
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0.97595644
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0.94543046
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0.9162202
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0.91570336
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0.90463424
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