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math.AP2018
An analysis of over-relaxation in kinetic approximation
Florence Drui, Emmanuel Franck, Philippe Helluy +1
The over-relaxation approach is an alternative to the Jin-Xin relaxation method (Jin and Xin [1]) in order to apply the equilibrium source term in a more precise way (Coulette et a…
math.AP2018
High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation
David Coulette, Emmanuel Franck, Philippe Helluy +2
We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an e…