Abstract
Various partial differential equations are derived from generalized energy integrals by a variational argument. Then their discrete versions serve us as the important basis to construct convenient energy preserving difference schemes. Numerical simulation is also performed for a nonlinear wave equation obtained as a simple-minded continuum limit of the Toda lattice.
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Partially supported by Grant-in-Aid for Scientific Research (No. 12640100) Ministry of Education, Culture, Sports, Science and Technology, Japan.
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Hirota, C., Ide, T., Fukuoka, N. et al. Generalized energy integrals and energy conserving numerical schemes for partial differential equations. Japan J. Indust. Appl. Math. 21, 163 (2004). https://doi.org/10.1007/BF03167470
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DOI: https://doi.org/10.1007/BF03167470