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math.NA2026
High-Moment Stability and Error Analysis of a Fully Discrete LDG-IMEX Method for High Dimensional Nonlinear Stochastic Convection-Diffusion Equations
Yiming Chen, Yunzhang Li, Yulong Xing
A fully discrete local discontinuous Galerkin (LDG) method coupled with an implicit-explicit (IMEX) Euler time discretization is presented and analyzed for a class of high dimensio…
math.NA2024
The Efficient Variable Time-stepping DLN Algorithms for the Allen-Cahn Model
YiMing Chen, Dianlun Luo, Wenlong Pei +1
We consider a family of variable time-stepping Dahlquist-Liniger-Nevanlinna (DLN) schemes, which is unconditional non-linear stable and second order accurate, for the Allen-Cahn eq…