3 papers
math.NA2026
Hidden Accuracy and Superconvergence Analysis of Central Discontinuous Galerkin Methods on Overlapping Meshes
Manting Peng, Kailiang Wu
This paper establishes the first rigorous superconvergence theory for semidiscrete and fully discrete central discontinuous Galerkin (CDG) methods for linear hyperbolic equations o…
math.NA2025
Constraint-Preserving High-Order Compact OEDG Method for Spherically Symmetric Einstein-Euler System
Yuchen Huang, Manting Peng, Kailiang Wu
Numerical simulation of the spherically symmetric Einstein--Euler (EE) system faces severe challenges due to the stringent physical admissibility constraints of relativistic fluids…
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…