Family of symplectic implicit Runge-Kutta formulae |
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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: | A family of formulae for the sympletic IRK method is investigated. Specifically, focus is given to general solutions for formula parameters of IRK under the symplectic and the order conditions. Examples of such formulae are constructed for up to three stages. |
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Keywords: | 65L06 65L20 |
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