High-order schemes for conservative or dissipative systems

Authors:
Takayasu Matsuo
Affiliations:
Department of Computational Science and Engineering, Graduate School of Engineering, Nagoya University, Nagoya, 464-8603, Japan
Venue:
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
Year:
2003

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Abstract

We propose a new method for designing high-order finite difference schemes that inherit conservation or dissipation properties from conservative or dissipative systems such as Hamiltonian systems with/without damping terms. The proposed method has a feature that the computational costs of the resulting schemes do not increase in practice, even when the order of accuracy is increased.