229 citations · 396 across the 31 of their papers we have counts for
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math.NA2014★ 3 cited
A well-balanced reconstruction for wetting/drying fronts
Andreas Bollermann, Guoxian Chen, Alexander Kurganov +1
In this paper, we construct a well-balanced, positivity preserving finite volume scheme for the shallow water equations based on a continuous, piecewise linear discretization of th…
math.NA2014★ 16 cited
Well-Balanced Central Schemes on Overlapping Cells with Constant Subtraction Techniques for the Saint-Venant Shallow Water System
Suo Yang, Alexander Kurganov, Yingjie Liu
We develop well-balanced central schemes on overlapping cells for the Saint-Venant shallow water system and its variants. The main challenge in deriving the schemes is related to t…