New DG methods for gKdV and HS-KdV that preserve multiple invariants via implicit penalization, allowing high-order time accuracy.
Optimal error estimates of the Legendre–Petrov–Galerkin method for the Korteweg–de Vries equation.SIAM Journal on Numerical Analysis, 39(4):1380–1394, 2001
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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.