A new technique for preserving conservation laws

05/14/2020

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by   G. Frasca-Caccia, et al.

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In this paper we introduce a new symbolic-numeric strategy to obtain semidiscretizations of a PDE that preserve local conservation laws. We prove that fully discrete version of the conservation laws are satisfied by the solutions of a suitable time integrator. We consider the Boussinesq equation as a benchmark and introduce new families of schemes of order two and four that preserve conservation laws.