1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2024
A Functionally Connected Element Method for Solving Boundary Value Problems
Jielin Yang, Suchuan Dong
We present the general forms of piece-wise functions on partitioned domains satisfying an intrinsic or continuity across the sub-domain boundaries. These general forms…
math.NA2023
An Extreme Learning Machine-Based Method for Computational PDEs in Higher Dimensions
Yiran Wang, Suchuan Dong
We present two effective methods for solving high-dimensional partial differential equations (PDE) based on randomized neural networks. Motivated by the universal approximation pro…
math.NA2023★ 1 cited
Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time
Yanxia Qian, Yongchao Zhang, Yunqing Huang +1
We consider the approximation of a class of dynamic partial differential equations (PDE) of second order in time by the physics-informed neural network (PINN) approach, and provide…