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math.NA2026
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…
math.NA2026
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…
math.NA2026
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…