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03/30/2023
Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products
Higher order finite difference Weighted Essentially Non-Oscillatory (WEN...
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11/23/2022
Techniques, Tricks and Algorithms for Efficient GPU-Based Processing of Higher Order Hyperbolic PDEs
GPU computing is expected to play an integral part in all modern Exascal...
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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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08/22/2021
Von Neumann Stability Analysis of DG-like and PNPM-like Schemes for PDEs that have Globally Curl-Preserving Evolution of Vector Fields
This paper examines a class of PDEs where some part of the PDE system ev...
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09/08/2020
Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design
Several important PDE systems, like magnetohydrodynamics and computation...
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07/20/2019