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• Weak Minimization-Sampling Network for Solving PDEs

  Zhenqian E, Weiguo Gao

  2026-01-03

  1935 118 Pages:696-712

• 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

  2150 190 Pages:635-660

• Estimating Primaries by Sparse Inversion with Cost-Effective Computation

  Xiaopeng Zhou, Yike Liu, Lanshu Bai

  2020-06-05

  48598 4456 Pages:477-497

• Integral Regularization PINNs for Evolution Equations

  Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan

  2026-02-15

  4117 191 Pages:356-386

• Preface

  2020-11-18

  366 104 Pages:i-i

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70593 3842 Pages:1707-1745

• A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

  Xi-An Li, Zhi-Qin John Xu, Lei Zhang

  2020-11-18

  67414 3705 Pages:1886-1906

• MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

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

  2024-10-29

  21791 1258 Pages:943-976

• Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient

  Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller

  2024-10-09

  15811 1290 Pages:711-780

• Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

  Ziqi Liu, Wei Cai, Zhi-Qin John Xu

  2020-11-18

  74180 3751 Pages:1970-2001

• Strong Convergence and Speed up of Nested Stochastic Simulation Algorithm

  Can Huang, Di Liu

  2020-07-31

  40948 3919 Pages:1207-1236

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

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  9040 520 Pages:1383-1416