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- W4377087939 abstract "In this paper, semi-discrete numerical scheme for the approximation of the periodic Vlasov-viscous Burgers’ system is developed and analyzed. The scheme is based on the coupling of discontinuous Galerkin approximations for the Vlasov equation and local discontinuous Galerkin approximations for the viscous Burgers’ equation. Both these methods use generalized numerical fluxes. The proposed scheme is both mass and momentum conservative. Based on generalized Gauss–Radau projections, optimal rates of convergence in the case of smooth compactly supported initial data are derived. Finally, computational results confirm our theoretical findings." @default.
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- W4377087939 date "2023-05-19" @default.
- W4377087939 modified "2023-09-30" @default.
- W4377087939 title "Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers’ System" @default.
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- W4377087939 doi "https://doi.org/10.1007/s10915-023-02230-5" @default.
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