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• Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems

  Yang Zeng, Jin-Long Wu, Heng Xiao

  2021-07-01

  49181 3239 Pages:635-665

• Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

  Shamsulhaq Basir

  2023-06-06

  41484 2933 Pages:1240-1269

• A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning

  Hui Xie, Li Liu, Chuanlei Zhai, Xuejun Xu, Heng Yong

  2024-03-13

  26134 2223 Pages:467-497

• MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

  Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang

  2024-10-29

  147 68 Pages:943-976

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  31686 2665 Pages:1133-1176

• Use of the Spatial KD-Tree in Computational Physics Applications

  A. Khamayseh & G. Hansen

  2007-02-01

  39084 4278 Pages:545-576

• Integral Regularization PINNs for Evolution Equations

  Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan

  2025-11-28

  919 31 Pages:356-386

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  194 50 Pages:1383-1416

• A Distributed Optimal Control Problem with Averaged Stochastic Gradient Descent

  Qi Sun, Qiang Du

  2020-07-30

  46516 3703 Pages:753-774

• Linear Scaling Discontinuous Galerkin Density Matrix Minimization Method with Local Orbital Enriched Finite Element Basis: 1-D Lattice Model System

  Tiao Lu, Wei Cai, Jianguo Xin & Yinglong Guo

  2014-08-05

  40615 3849 Pages:276-300