Multisymplecticity and wave action conservation |
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| Authors: | Constance Schober Tomasz H. Wlodarczyk |
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| Affiliation: | Department of Mathematics, University of Central Florida, Orlando, FL 32816, United States |
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| Abstract: | This paper discuses some novel results concerning the wave action conservation law for multisymplectic partial differential equations and their discretizations. We provide a method for deriving this conservation law in Fourier spectral space. A discrete wave action conservation law for a multisymplectic box scheme and for the midpoint time-discretization of a spectral method is also derived. |
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| Keywords: | Multisymplectic integrators Wave action Box schemes Spectral methods |
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