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math.NA2024
Randomized Radial Basis Function Neural Network for Solving Multiscale Elliptic Equations
Yuhang Wu, Ziyuan Liu, Wenjun Sun +1
To overcome these obstacles and improve computational accuracy and efficiency, this paper presents the Randomized Radial Basis Function Neural Network (RRNN), an innovative approac…
math.NA2023
SPFNO: Spectral operator learning for PDEs with Dirichlet and Neumann boundary conditions
Ziyuan Liu, Yuhang Wu, Daniel Zhengyu Huang +3
Neural operators have been validated as promising deep surrogate models for solving partial differential equations (PDEs). Despite the critical role of boundary conditions in PDEs,…