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math.NA2024
Chebyshev Spectral Neural Networks for Solving Partial Differential Equations
Pengsong Yin, Shuo Ling, Wenjun Ying
The purpose of this study is to utilize the Chebyshev spectral method neural network(CSNN) model to solve differential equations. This approach employs a single-layer neural networ…
math.NA2024
A GPU-accelerated Cartesian grid method for PDEs on irregular domain
Liwei Tan, Minsheng Huang, Wenjun Ying
The kernel-free boundary integral (KFBI) method has successfully solved partial differential equations (PDEs) on irregular domains. Diverging from traditional boundary integral met…
math.NA2024
A GPU-accelerated Cartesian grid method is proposed for solving the heat, wave, and Schrodinger equations on irregular domains
Liwei Tan, Minsheng Huang, Wenjun Ying
This paper introduces a second-order method for solving general elliptic partial differential equations (PDEs) on irregular domains using GPU acceleration, based on Ying's kernel-f…