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math.NA2026
Entropy-Stable and Physical-Constraint-Preserving DGSEM for Symmetry-Reduced General-Relativistic Hydrodynamics on Stationary Spacetimes
Guosheng Fu, Jian-Guo Liu
We develop an entropy-stable and physical-constraint-preserving discontinuous Galerkin spectral element method for symmetry-reduced general-relativistic hydrodynamics on prescribed…
math.NA2025
On the discrete Poincaré inequality for B-schemes of 1D Fokker-Planck equations in full space
Lei Li, Jian-Guo Liu, Zhen Wang
In this paper, we propose two approaches to derive the discrete Poincaré inequality for the B-schemes, a family of finite volume discretization schemes, for the one-dimensional Fok…
math.NA2024
Some Grönwall inequalities for a class of discretizations of time fractional equations on nonuniform meshes
Yuanyuan Feng, Lei Li, Jian-Guo Liu +1
We consider the completely positive discretizations of fractional ordinary differential equations (FODEs) on nonuniform meshes. Making use of the resolvents for nonuniform meshes,…