most citedDeep surrogate model for learning Green's function associated with linear reaction-diffusion operator

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math.NA2026

Efficient and Accurate Lift-and-Decoupling Generalized Transferable Neural Networks for Elliptic and Moving Interface Problems

Tao Cheng, Junqing Jia, Lili Ju +1

In this paper, we propose a highly efficient and accurate method, called ``lift-and-decoupling generalized transferable neural network" (LD-GTransNet), for numerical solution of el…

math.NA2026

Generalized Transferable Neural Networks for Steady-State Partial Differential Equations

Tao Cheng, Lili Ju, Zhonghua Qiao +1

Deep learning has emerged as a compelling framework for scientific and engineering computing, motivating growing interest in neural network-based solvers for partial differential e…

math.NA2023★ 1 cited

Deep surrogate model for learning Green's function associated with linear reaction-diffusion operator

Junqing Ji, Lili Ju, Xiaoping Zhang

In this paper, we present a deep surrogate model for learning the Green's function associated with the reaction-diffusion operator in rectangular domain. The U-Net architecture is…