New DG methods for gKdV and HS-KdV that preserve multiple invariants via implicit penalization, allowing high-order time accuracy.
The decomposition method for a Hirota–Satsuma coupled KdV equation and a coupled mKdV equation.International Journal of Computer Mathematics, 81(12):1497–1505, 2004
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High-order Conservative Discontinuous Galerkin Methods via Implicit Penalization for the Generalized Korteweg-de Vries Equation and the Hirota-Satsuma KdV System
New DG methods for gKdV and HS-KdV that preserve multiple invariants via implicit penalization, allowing high-order time accuracy.