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05/18/2023
Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction
Lax-Wendroff Flux Reconstruction (LWFR) is a single-stage, high order, q...
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11/16/2022
Multidimensional Generalized Riemann Problem Solver for Maxwell's Equations
Approximate multidimensional Riemann solvers are essential building bloc...
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10/16/2022
High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equations
In this article, we propose high-order finite-difference entropy stable ...
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07/06/2022
Lax-Wendroff flux reconstruction method for hyperbolic conservation laws
The Lax-Wendroff method is a single step method for evolving time depend...
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08/19/2021
An exact Riemann solver for a shear shallow water model
The shear shallow water model is a higher order model for shallow flows ...
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07/26/2020
Constraint preserving discontinuous Galerkin method for ideal compressible MHD on 2-D Cartesian grids
We propose a constraint preserving discontinuous Galerkin method for ide...
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05/04/2020
High order discretely well-balanced finite volume methods for Euler equations with gravity – without any à priori information about the hydrostatic solution
We introduce novel high order well-balanced finite volume methods for th...
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10/11/2019
A path conservative finite volume method for a shear shallow water model
The shear shallow water model provides a higher order approximation for ...
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10/10/2019
Positivity-preserving finite difference WENO scheme for Ten-Moment equations with source term
We develop a positivity-preserving finite difference WENO scheme for the...
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09/21/2019
Single-Step Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations
We propose an explicit, single step discontinuous Galerkin (DG) method o...
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03/12/2018
