6 citations · 6 across the 2 of their papers we have counts for
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Superconvergence of Centered Finite Difference Approximations
Mario J. Bencomo, Joseph Igot, Emma Maltes
The finite difference (FD) method is commonly used to approximate derivatives of smooth functions, with accuracy typically determined by stencil size and derivative order. However,…
Discrete adjoint computations for relaxation Runge-Kutta methods
Mario J. Bencomo, Jesse Chan
Relaxation Runge-Kutta methods reproduce a fully discrete dissipation (or conservation) of entropy for entropy stable semi-discretizations of nonlinear conservation laws. In this p…
Mortar-based entropy-stable discontinuous Galerkin methods on non-conforming quadrilateral and hexahedral meshes
Jesse Chan, Mario J. Bencomo, David C. Del Rey Fernández
High-order entropy-stable discontinuous Galerkin (DG) methods for nonlinear conservation laws reproduce a discrete entropy inequality by combining entropy conservative finite volum…