167 citations · 598 across the 41 of their papers we have counts for
4 papers · 1 filter
Efficient entropy stable Gauss collocation methods
Jesse Chan, David C. Del Rey Fernandez, Mark H. Carpenter
The construction of high order entropy stable collocation schemes on quadrilateral and hexahedral elements has relied on the use of Gauss-Legendre-Lobatto collocation points and th…
Leapfrog time-stepping for Hermite methods
Arturo Vargas, Thomas Hagstrom, Jesse Chan +1
We introduce Hermite-leapfrog methods for first order wave systems. The new Hermite-leapfrog methods pair leapfrog time-stepping with the Hermite methods of Goodrich and co-authors…
Bernstein-Bezier weight-adjusted discontinuous Galerkin methods for wave propagation in heterogeneous media
Kaihang Guo, Jesse Chan
This paper presents an efficient discontinuous Galerkin method to simulate wave propagation in heterogeneous media with sub-cell variations. This method is based on a weight-adjust…
Discretely entropy stable weight-adjusted discontinuous Galerkin methods on curvilinear meshes
Jesse Chan, Lucas C. Wilcox
We construct entropy conservative and entropy stable high order accurate discontinuous Galerkin (DG) discretizations for time-dependent nonlinear hyperbolic conservation laws on cu…