814 citations · 925 across the 7 of their papers we have counts for
Showing 2022 · math.NAShow all
3 papers · 2 filters
math.NA2022
On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws
Shumo Cui, Shengrong Ding, Kailiang Wu
This paper presents the first systematic study on the fundamental problem of seeking optimal cell average decomposition (OCAD), which arises from constructing efficient high-order…
math.NA2022★ 1 cited
A Diffuse-Domain Based Numerical Method for a Chemotaxis-Fluid Model
Chenxi Wang, Alina Chertock, Shumo Cui +2
In this paper, we consider a coupled chemotaxis-fluid system that models self-organized collective behavior of oxytactic bacteria in a sessile drop. This model describes the biolog…
math.NA2022★ 19 cited
Is the Classic Convex Decomposition Optimal for Bound-Preserving Schemes in Multiple Dimensions?
Shumo Cui, Shengrong Ding, Kailiang Wu
Since proposed in [X. Zhang and C.-W. Shu, J. Comput. Phys., 229: 3091--3120, 2010], the Zhang--Shu framework has attracted extensive attention and motivated many bound-preserving…