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20222026
most citedIs the Classic Convex Decomposition Optimal for Bound-Preserving Schemes in Multiple Dimensions?

19 citations · 19 across the 8 of their papers we have counts for

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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★ 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…