3 papers
math.NA2026
A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws II: triangular meshes
Dongmi Luo, Zhuang Zhao, Jianxian Qiu +1
A compact and high order HWENO scheme using ADER (Arbitrary high order using DERivatives) time discretization is developed for hyperbolic conservation laws on the triangular mesh,…
math.NA2026
A High-Order Finite Volume GENO Scheme with Implicit Time Integration for Three-Temperature Radiation Diffusion Equations
Fengxiang Zhao, Yaqing Yang, Yibing Chen +1
This study presents a high-order finite volume scheme capable of large time-step integration for three-temperature radiation diffusion (3TRD) equations, where conservation is natur…
math.NA2025
Uniformly High Order Discontinuous Galerkin Gas Kinetic Scheme for Compressible flows
Mengqing Zhang, Shiyi Li, Dongmi Luo +2
In this paper, a uniformly high-order discontinuous Galerkin gas kinetic scheme (DG-HGKS) is proposed to solve the Euler equations of compressible flows. The new scheme is an exten…