A multi-symplectic integration of the Ostrovsky equation

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概要

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• We consider structure-preserving integration of the Ostrovsky equation, which for example models gravity waves under the influence of Coriolis force. We find a multi-symplectic formulation, and derive a finite difference discretization based on the formulation and by means of the Preissman box scheme. We also present a numerical example, which shows the effectiveness of this scheme.

著者

• Matsuo Takayasu

  Department Of Computational Science & Engineering Graduate School Of Engineering Nagoya Universi

• Yaguchi Takaharu

  Department of Computational Science, Graduate School of System Informatics, Kobe University

• Miyatake Yuto

  Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo

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