Search Results

• A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

  Joshua P. Wilson, Weizhong Dai, Aniruddha Bora, Jacob C. Boyt

  2022-10-28

  47608 3514 Pages:1039-1060

• Learning Invariant Representation of Multiscale Hyperelastic Constitutive Law from Sparse Experimental Data

  Rui He, Junzhi Cui, Zihao Yang, Jieqiong Zhang, Xiaofei Guan

  2023-09-04

  34260 2839 Pages:392-417

• Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

  Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen

  2021-04-30

  50093 4593 Pages:97-123

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70604 3843 Pages:1707-1745

• Machine Learning and Computational Mathematics

  Weinan E

  2020-11-18

  89035 4381 Pages:1639-1670

• A Complete Error Analysis of PINNs for Elliptic Equations Using Projected Stochastic Gradient Descent

  Yuling Jiao, Ruoxuan Li, Defeng Sun, Peiying Wu, Jerry Zhijian Yang

  2026-04-10

  243 68 Pages:27-60

• Deep Learning-Based Reduced-Order Methods for Fast Transient Dynamics

  Martina Cracco, Giovanni Stabile, Andrea Lario, Armin Sheidani, Martin Larcher, Folco Casadei, Georgios Valsamos, Gianluigi Rozza

  2026-01-03

  2158 190 Pages:635-660

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  5425 679 Pages:248-284