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math.NA2024
A hybrid FEM-PINN method for time-dependent partial differential equations
Xiaodong Feng, Haojiong Shangguan, Tao Tang +2
In this work, we present a hybrid numerical method for solving evolution partial differential equations (PDEs) by merging the time finite element method with deep neural networks.…
cs.LG2024
DeepSPoC: A Deep Learning Based Sequential Propagation of Chaos
Kai Du, Yongle Xie, Tao Zhou +1
Classical particle methods based on propagation of chaos (PoC) have been developed for solving mean-field stochastic differential equations and their associated nonlinear Fokker--P…