New DG methods for gKdV and HS-KdV that preserve multiple invariants via implicit penalization, allowing high-order time accuracy.
A lumped Galerkin finite element method for the generalized Hirota-Satsuma coupled KdV and coupled mKdV equations.Tbilisi Mathematical Journal, 12(3):159–173, 2019
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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.