Search Results

• VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

  Yujie Liu, Chao Yang

  2022-03-03

  DOI:10.4208/cicp.OA-2021-0104

  45629 3277 pp. 739-770

• A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology

  Tiangang Cui, Zhongjian Wang, Zhiwen Zhang

  2023-11-08

  DOI:10.4208/cicp.OA-2022-0272

  30966 2628 pp. 934-954

• Deep Potential: A General Representation of a Many-Body Potential Energy Surface

  Jiequn Han, Linfeng Zhang, Roberto Car, E. Weinan

  2018-08-21

  DOI:10.4208/cicp.OA-2017-0213

  95388 6694 pp. 629-639 Open Access

• 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

  DOI:10.4208/cicp.OA-2023-0075

  32040 2870 pp. 1133-1176

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  DOI:10.4208/cicp.OA-2021-0257

  307217 3645 pp. 299-335

• A Neural Network Approach to Sampling Based Learning Control for Quantum System with Uncertainty

  Jingshi Li, Song Chen, Yanzhao Cao, Zhao Sun

  2021-10-26

  DOI:10.4208/cicp.OA-2020-0182

  47322 3405 pp. 1453-1473

• Preface

  2020-11-18

  382 105 pp. i-i

• 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

• A Correction and Comments on “Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains CiCP, 28 (5): 1970–2001, 2020”

  Lulu Zhang, Wei Cai, Zhi-Qin John Xu

  2023-06-06

  DOI:10.4208/cicp.OA-2023-0152

  40599 2876 pp. 1509-1513

• Fast MRI Reconstruction via Edge Attention

  Hanhui Yang, Juncheng Li, Lok Ming Lui, Shihui Ying, Jun Shi, Tieyong Zeng

  2023-06-06

  DOI:10.4208/cicp.OA-2022-0309

  39501 2902 pp. 1409-1431

• Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

  Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao

  2022-08-11

  DOI:10.4208/cicp.OA-2021-0256

  303899 3517 pp. 336-363

• Incorporating the Maximum Entropy on the Mean Framework with Kernel Error for Robust Non-Blind Image Deblurring

  Hok Shing Wong, Hao Zhang, Lihua Li, Tieyong Zeng, Yingying Fang

  2022-03-03

  DOI:10.4208/cicp.OA-2021-0136

  44774 3321 pp. 893-912

• Variational Low-Light Image Enhancement Based on Fractional-Order Differential

  Qianting Ma, Yang Wang, Tieyong Zeng

  2024-01-31

  DOI:10.4208/cicp.OA-2022-0197

  28899 2788 pp. 139-159

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0193

  89565 4614 pp. 2042-2074

• Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

  Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0130

  64587 3389 pp. 2109-2138

• Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function

  Shupei Yu, Qiaolin He, Shiquan Zhang, Qihong Yang, Yu Yang, Helin Gong

  2026-01-18

  DOI:10.4208/cicp.OA-2024-0176

  777 109 pp. 1231-1266

• VAE-KRnet and Its Applications to Variational Bayes

  Xiaoliang Wan, Shuangqing Wei

  2022-03-30

  DOI:10.4208/cicp.OA-2021-0087

  52394 3287 pp. 1049-1082

• 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

  DOI:10.4208/cicp.OA-2023-0180

  26439 2329 pp. 467-497

• 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