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Variational Description for the Generating Function Method of First Kind

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Abstract

We propose the variational description of generating function approach of first kind for Hamiltonian ODEs, and extend the approach to the semi-linear wave equations. In this way, we can construct any finite order accuracy scheme, and show that the resulting numerical scheme is multisymplectic. At last, we present some numerical experiments by using derived new scheme.

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Authors and Affiliations

  1. Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China

    Ya-Juan Sun & Meng-Zhao Qin

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  1. Ya-Juan Sun
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  2. Meng-Zhao Qin
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Correspondence to Ya-Juan Sun.

Additional information

Supported by the Special Funds for Major State Basic Research Project (G.1999, 032800).

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Sun, YJ., Qin, MZ. Variational Description for the Generating Function Method of First Kind. Acta Mathematicae Applicatae Sinica, English Series 18, 693–702 (2002). https://doi.org/10.1007/s102550200073

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  • DOI: https://doi.org/10.1007/s102550200073

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