2 papers
math.NA2026
Fully Discrete Multi-Entropy Stability of High-Order Schemes for Compressible MHD: A Weak-to-Strong Framework
Huihui Cao, Kailiang Wu, Caiyou Yuan
We establish a fully discrete weak-to-strong (W2S) multi-entropy stability theory for arbitrarily high-order finite-volume and discontinuous Galerkin (DG) approximations of the ide…
math.NA2025
Oscillation-eliminating central DG schemes for hyperbolic conservation laws
Manting Peng, Kailiang Wu, Caiyou Yuan
This paper proposes and analyzes a class of essentially non-oscillatory central discontinuous Galerkin (CDG) methods for general hyperbolic conservation laws. First, we introduce a…