Butcher's simplifying assumption for symplectic integrators |
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Authors: | Satoshi Saito Hiroshi Sugiura Taketomo Mitsui |
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Affiliation: | (1) Department of Information Engineering, School of Engineering Nagoya University, 464-01 Nagoya, Japan |
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Abstract: | Implicit Runge-Kutta methods with vanishingM matrix are discussed for preserving the symplectic structure of Hamiltonian systems. The number of the order conditions independent of the number of stages can be reduced considerably for the symplectic IRK method through the analysis utilizing the rooted tree and the corresponding elementary differentials. Butcher's simplifying condition further reduces the number of independent order conditions. |
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Keywords: | 65L05 70H15 05C05 |
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