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Dispersion, group velocity, and multisymplectic discretizations
Mathematics and Computers in Simulation, 2009The authors consider the dispersive properties of multisymplectic discretization of linear wave and the sine Gordon equations. In particular a leapfrog in space and time scheme and the Preissman box scheme is considered. They find the numerical dispersions are monotonic and that the sign of the group velocity is preserved but for the nonsymplectic ...
Schober, C. M., Wlodarczyk, T. H.
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