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- W2341143119 abstract "The aim of this paper is the derivation of structure preserving schemes for the solution of the EPDiff equation, with particular emphasis on the two dimensional case. We develop three different schemes based on the Discrete Variational Derivative Method (DVDM) on a rectangular domain discretized with a regular, structured, orthogonal grid. We present numerical experiments to support our claims: we investigate the preservation of energy and linear momenta, the reversibility, and the empirical convergence of the schemes. The quality of our schemes is finally tested by simulating the interaction of singular wave fronts." @default.
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- W2341143119 date "2016-04-21" @default.
- W2341143119 modified "2023-09-27" @default.
- W2341143119 title "Discrete Variational Derivative Methods for the EPDiff Equation" @default.
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