Search Results

• Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

  Yufei Wang, Ziju Shen, Zichao Long, Bin Dong

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0194

  62676 3497 pp. 2158-2179

• Machine Learning and Computational Mathematics

  Weinan E

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0185

  89035 4381 pp. 1639-1670

• A Data-Driven Random Subfeature Ensemble Learning Algorithm for Weather Forecasting

  Chen Yu, Haochen Li, Jiangjiang Xia, Hanqiuzi Wen, Pingwen Zhang

  2020-08-27

  DOI:10.4208/cicp.OA-2020-0006

  50863 3346 pp. 1305-1320

• 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

• Finding the Origin of Noise Transients in LIGO Data with Machine Learning

  Marco Cavaglia, Kai Staats, Teerth Gill

  2018-12-08

  DOI:10.4208/cicp.OA-2018-0092

  56918 4867 pp. 963-987 Open Access

• First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

  Hao-Chen Wang, Meilin Yu, Heng Xiao

  2026-01-15

  DOI:10.4208/cicp.OA-2024-0260

  3380 409 pp. 1-28

• DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data

  Hao Xu, Haibin Chang, Dongxiao Zhang

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0142

  55435 3561 pp. 698-728

• Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks

  Hao Ma, Yuxuan Zhang, Nils Thuerey, Xiangyu Hu, Oskar J. Haidn

  2022-09-29

  DOI:10.4208/cicp.OA-2021-0146

  42895 3385 pp. 715-736

• Accurate Adaptive Deep Learning Method for Solving Elliptic Problems

  Jinyong Ying, Yaqi Xie, Jiao Li, Hongqiao Wang

  2025-09-02

  DOI:10.4208/cicp.OA-2024-0113

  10362 591 pp. 849-876

• A Mixed Wavelet-Learning Method of Predicting Macroscopic Effective Heat Transfer Conductivities of Braided Composite Materials

  Hao Dong, Wenbo Kou, Junyan Han, Jiale Linghu, Minqiang Zou, Junzhi Cui

  2022-01-27

  DOI:10.4208/cicp.OA-2021-0110

  43172 3277 pp. 593-625

• A Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws

  Zixuan Zhang, Yidao Dong, Yuanyang Zou, Hao Zhang, Xiaogang Deng

  2024-05-06

  DOI:10.4208/cicp.OA-2023-0162

  28544 2086 pp. 1120-1154

• An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions

  Jianguo Huang, Haoqin Wang, Tao Zhou

  2022-03-03

  DOI:10.4208/cicp.OA-2021-0176

  50710 3358 pp. 966-986

• Newton’s Method and Its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods

  Jianguo Huang, Hui Peng, Haohao Wu

  2025-01-22

  DOI:10.4208/cicp.OA-2024-0066

  15993 1010 pp. 30-60

• 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

  DOI:10.4208/cicp.OA-2024-0168

  2158 190 pp. 635-660

• Physically Guided Neural Network Based on Transfer Learning (TL-PGNN) for Hypersonic Heat Flux Prediction

  Biao Chen, Jifa Zhang, Shuai Zhang, Xiaoxiao Song, Yao Zheng

  2024-10-09

  DOI:10.4208/cicp.OA-2023-0308

  16084 1298 pp. 651-672

• A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

  Jingrun Chen, Shi Jin, Liyao Lyu

  2022-03-30

  DOI:10.4208/cicp.OA-2021-0144

  47297 3061 pp. 1296-1316

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  DOI:10.4208/cicp.OA-2024-0046

  5425 679 pp. 248-284

• A Deep Learning Modeling Framework to Capture Mixing Patterns in Reactive-Transport Systems

  N. V. Jagtap, M. K. Mudunuru, K. B. Nakshatrala

  2021-12-06

  DOI:10.4208/cicp.OA-2021-0088

  49510 4115 pp. 188-223

• A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules

  Pei Zhang, Yanli Wang, Zhennan Zhou

  2024-01-31

  DOI:10.4208/cicp.OA-2023-0141

  29086 2498 pp. 70-106

• Ensemble Gradient for Learning Turbulence Models from Indirect Observations

  Carlos A. Michelén Ströfer, Xin-Lei Zhang, Heng Xiao

  2021-10-26

  DOI:10.4208/cicp.OA-2021-0082

  80767 3742 pp. 1269-1289

• Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow

  Xiaodong Feng, Li Zeng, Tao Zhou

  2022-08-11

  DOI:10.4208/cicp.OA-2022-0090

  308990 3594 pp. 401-423

• An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

  Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai

  2023-05-12

  DOI:10.4208/cicp.OA-2022-0284

  36494 2927 pp. 1090-1105

• Learning Specialized Activation Functions for Physics-Informed Neural Networks

  Honghui Wang, Lu Lu, Shiji Song, Gao Huang

  2023-11-08

  DOI:10.4208/cicp.OA-2023-0058

  34829 2964 pp. 869-906

• Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

  Ameya D. Jagtap, George Em Karniadakis

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0164

  151550 6990 pp. 2002-2041

• Convergence Analysis for Over-Parameterized Deep Learning

  Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2024-07-29

  DOI:10.4208/cicp.OA-2023-0264

  28088 2178 pp. 71-103

• Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method

  Zhihao Li, Boyi Zou, Haiqin Wang, Jian Su, Dong Wang, Xinpeng Xu

  2025-09-02

  DOI:10.4208/cicp.OA-2023-0294

  11909 813 pp. 353-382

• Development of a Less Dissipative Interface Variable Reconstruction to Solve the Euler Equations by Q Learning Method

  Shing-Ian Huang, Sheng Chang Wu, Tsung-Yu Yang, Chi-Heng Ting, Yi-Jhen Wu, Yang-Yao Niu

  2024-07-29

  DOI:10.4208/cicp.OA-2022-0224

  24137 1797 pp. 160-199