14 citations · 33 across the 12 of their papers we have counts for
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math.NA2020
Adaptive Central-Upwind Scheme on Triangular Grids for the Saint-Venant System
Yekaterina Epshteyn, Thuong Nguyen
In this work, we develop a robust adaptive well-balanced and positivity-preserving central-upwind scheme on unstructured triangular grids for shallow water equations. The numerical…
math.NA2020★ 1 cited
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations
Dihan Dai, Yekaterina Epshteyn, Akil Narayan
A stochastic Galerkin formulation for a stochastic system of balanced or conservation laws may fail to preserve hyperbolicity of the original system. In this work, we develop hyper…