A symplectic algorithm for wave equations

Xiaowu Lu and Rudolf Schmid

Mathematics and Computers in Simulation (MATCOM), 1997, vol. 43, issue 1, 29-38

Abstract: Numerical schemes for finite-dimensional Hamiltonian system which preserve the symplectic structure are generalized to infinite-dimensional Hamiltonian systems and applied to construct finite difference schemes for the nonlinear wave equation. The numerical results show that these schemes compare favorably with conventional difference methods. Furthermore, the successful long-term tracking capability for these Hamiltonian schemes is remarkable and striking.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:43:y:1997:i:1:p:29-38

DOI: 10.1016/S0378-4754(96)00052-3

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