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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.NA2026

Invariant domain preservation for hybrid point-value and cell-average discretizations of hyperbolic equations on general meshes

Shengrong Ding, Shumo Cui, Remi Abgrall +1

This paper presents a unified invariant-domain-preserving (IDP) framework for hybrid discretizations of hyperbolic conservation laws, including active flux and PAMPA methods, in wh…

math.NA2026

GQL-Based Physical-Constraint-Preserving High-Order Finite Difference Schemes for Special Relativistic Hydrodynamics in Arbitrary Dimensions

Linfeng Xu, Shengrong Ding, Kailiang Wu

High-order accurate simulations of special relativistic hydrodynamics (RHD) are prone to numerical breakdown if intrinsic physical constraints (positive rest-mass density/pressure…