Search Results

• 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

• A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  DOI:10.4208/cicp.OA-2022-0106

  46564 3360 pp. 1094-1128

• High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

  Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao

  2023-11-08

  DOI:10.4208/cicp.OA-2023-0061

  31586 2735 pp. 1043-1078

• High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

  D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj, B. Sjögreen

  2018-04-03

  DOI:10.4208/cicp.211014.040915a

  41618 3327 pp. 273-300

• 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

• 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

• Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

  Shamsulhaq Basir

  2023-06-06

  DOI:10.4208/cicp.OA-2022-0239

  41861 3031 pp. 1240-1269

• Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

  Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0218

  41082 3304 pp. 596-627

• A Constrained Level Set Method for Simulating the Formation of Liquid Bridges

  Dongdong He, Huaxiong Huang

  2020-07-31

  DOI:10.4208/cicp.181110.090811s

  38766 3958 pp. 577-594

• 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

• Radiogenic Source Identification for the Helium Production-Diffusion Equation

  Gang Bao, Todd A. Ehlers, Peijun Li

  2014-07-05

  DOI:10.4208/cicp.030112.250512a

  39190 4591 pp. 1-20