New DG methods for gKdV and HS-KdV that preserve multiple invariants via implicit penalization, allowing high-order time accuracy.
A structure-preserving local discontinuous Galerkin method for the stochastic KdV equation.Applied Numerical Mathematics, 204:1–25, 2024
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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.