2 papers
math.NA2026
The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws
Xu-Kun Chen, Yong Liu, Chi-Wang Shu
Entropy inequalities are fundamental to the well-posedness of hyperbolic conservation laws, providing the essential criterion for selecting the physically admissible solution among…
math.NA2026
Post-Processing Reduced-Order Models for Transport-Dominated Problems by Gegenbauer Reconstruction
Lei Yan, Yan Jiang, Chi-Wang Shu
In this paper, we develop a physics-based post-processing technique for data-driven reduced-order models (ROMs) of transport-dominated problems. Besides the slow decay of the Kolmo…