5 papers · 1 filter
A fast sum-of-Gaussians algorithm for the high-dimensional fractional Fokker-Planck equation
Shidong Jiang, Dong Wang, Qi Zhou
We present a fast, high-order algorithm for the free-space fractional Fokker-Planck equation (FFPE) in arbitrary spatial dimension. Its fundamental solution, corresponding to a Dir…
An efficient and stable diffusion generated method for quadrilateral mesh generation in general domains
Jingwen Dai, Zhonghua Qiao, Dong Wang
This paper introduces a novel, robust, and computationally efficient framework for high-quality quadrilateral mesh generation on general two-dimensional domains. The core of the pr…
A generalized matrix-valued Allen--Cahn model and its numerical solution
Yaru Liu, Chaoyu Quan, Dong Wang
This paper introduces a generalized matrix-valued Allen--Cahn model, where the unknown matrix-valued field belongs to with dimension . By…
Unconditional energy dissipation of Strang splitting for the matrix-valued Allen-Cahn equation
Chaoyu Quan, Tao Tang, Dong Wang
The energy dissipation property of the Strang splitting method was first demonstrated for the matrix-valued Allen-Cahn (MAC) equation under restrictive time-step constraints [J. Co…
Maximum bound principle preserving and energy decreasing exponential time differencing schemes for the matrix-valued Allen-Cahn equation
Yaru Liu, Chaoyu Quan, Dong Wang
This work delves into the exponential time differencing (ETD) schemes for the matrix-valued Allen-Cahn equation. In fact, the maximum bound principle (MBP) for the first- and secon…