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  • Weak Minimization-Sampling Network for Solving PDEs

    Zhenqian E, Weiguo Gao
    2026-01-03
    DOI:10.4208/cicp.OA-2024-0153
    1940 120 pp. 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
    DOI:10.4208/cicp.OA-2024-0168
    2158 190 pp. 635-660
  • Estimating Primaries by Sparse Inversion with Cost-Effective Computation

    Xiaopeng Zhou, Yike Liu, Lanshu Bai
    2020-06-05
    DOI:10.4208/cicp.OA-2018-0065
    48601 4458 pp. 477-497
  • Integral Regularization PINNs for Evolution Equations

    Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan
    2026-02-15
    DOI:10.4208/cicp.OA-2025-0082
    4126 195 pp. 356-386
  • Preface

    2020-11-18
    382 105 pp. i-i
  • Finite Neuron Method and Convergence Analysis

    Jinchao Xu
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0191
    70604 3843 pp. 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
    DOI:10.4208/cicp.OA-2020-0187
    67430 3706 pp. 1886-1906
  • MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

    Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang
    2024-10-29
    DOI:10.4208/cicp.OA-2024-0002
    21792 1258 pp. 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
    DOI:10.4208/cicp.OA-2023-0250
    15812 1293 pp. 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
    DOI:10.4208/cicp.OA-2020-0179
    74201 3754 pp. 1970-2001
  • Strong Convergence and Speed up of Nested Stochastic Simulation Algorithm

    Can Huang, Di Liu
    2020-07-31
    DOI:10.4208/cicp.290313.051213s
    40949 3920 pp. 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
    DOI:10.4208/cicp.OA-2023-0327
    9043 520 pp. 1383-1416
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