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math.NA2022
Stability and convergence analysis of high-order numerical schemes with DtN-type absorbing boundary conditions for nonlocal wave equations
Jihong Wang, Jerry Zhijian Yang, Jiwei Zhang
The stability and convergence analysis of high-order numerical approximations for the one- and two-dimensional nonlocal wave equations on unbounded spatial domains are considered.…
math.NA2020
Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs
Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang +1
This paper aims at studying the difference between Ritz-Galerkin (R-G) method and deep neural network (DNN) method in solving partial differential equations (PDEs) to better unders…