2 papers
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,…