Author

Yan Jiang

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Preprint Sep 2026

Limiter-based fully-discrete entropy stable explicit DG schemes for ideal MHD equations

We propose a class of high-order fully-discrete entropy stable (ES) explicit discontinuous Galerkin (DG) solvers for the compressible ideal magnetohydrodynamics (MHD) equations. Our main theoretical contribution is the introduction of a novel generalized-path-decomposition framework for MHD equations in Godunov's symme...

Yu-Chang Liu, Yan Jiang, Zheng Sun · 2 citations · ⚡1

Preprint Aug 2026

Physics-Informed Learning of Probabilistic Gegenbauer Reconstruction for Transport-Dominated Problems

A physics-informed machine-learning framework is proposed that predicts probability distributions over candidate Gegenbauer parameter pairs, enabling probabilistically weighted reconstruction while accounting for parameter uncertainty and achieves a more favorable accuracy--cost trade-off than problem-specific model re...

Lei Yan, Yan Jiang · 0 citations