Search Results

• A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs

  Yuling Jiao, Jerry Zhijian Yang, Cheng Yuan, Junyu Zhou

  2023-10-07

  DOI:10.4208/cicp.OA-2023-0063

  35606 2926 pp. 813-836

• On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems

  Alexander V. Rodionov

  2023-10-07

  DOI:10.4208/cicp.OA-2022-0243

  34177 2754 pp. 749-786

• Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media

  Meiling Zhao, Jiahui He, Liqun Wang

  2023-09-04

  DOI:10.4208/cicp.OA-2022-0104

  31745 2650 pp. 530-562

• The a Priori and a Posteriori Error Estimates for Modified Interior Transmission Eigenvalue Problem in Inverse Scattering

  Yanjun Li, Yidu Yang, Hai Bi

  2023-09-04

  DOI:10.4208/cicp.OA-2023-0124

  34822 2752 pp. 503-529

• An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow

  Zhicheng Hu, Guanghan Li

  2023-09-04

  DOI:10.4208/cicp.OA-2022-0271

  33061 2776 pp. 357-391

• Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

  Yuan Gao, Jian-Guo Liu

  2023-08-14

  DOI:10.4208/cicp.OA-2023-0021

  33226 3390 pp. 132-172

• A Two-Dimensional Third-Order CESE Scheme for Ideal MHD Equations

  Yufen Zhou, Xueshang Feng

  2023-08-14

  DOI:10.4208/cicp.OA-2022-0265

  35305 3699 pp. 94-115

• Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization

  Bin Zhang, Weixiong Yuan, Kun Wang, Jufang Wang, Tiegang Liu

  2023-06-06

  DOI:10.4208/cicp.OA-2023-0020

  39207 2950 pp. 1381-1408

• 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

• Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions

  Wenqiang Xiao, Bo Gong, Junshan Lin, Jiguang Sun

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0233

  37814 3096 pp. 628-646

• The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle

  Ang Li, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2023-01-24

  DOI:10.4208/cicp.OA-2022-0130

  37889 3083 pp. 1437-1473

• PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations

  Hailong Sheng, Chao Yang

  2022-10-28

  DOI:10.4208/cicp.OA-2022-0114

  47150 3352 pp. 980-1006

• A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

  Fan Zhang, Tiegang Liu

  2022-09-29

  DOI:10.4208/cicp.OA-2022-0064

  41123 3196 pp. 850-877

• Efficient Flexible Boundary Conditions for Long Dislocations

  M. Hodapp

  2022-09-29

  DOI:10.4208/cicp.OA-2021-0157

  41488 3235 pp. 671-714

• A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves

  Yingxia Xi, Xia Ji

  2022-08-11

  DOI:10.4208/cicp.OA-2022-0050

  301778 3374 pp. 524-546

• On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

  Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou

  2022-07-06

  DOI:10.4208/cicp.OA-2021-0049

  43060 3778 pp. 222-258

• Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation

  Chris Schoutrop, Jan ten Thije Boonkkamp, Jan van Dijk

  2022-07-06

  DOI:10.4208/cicp.OA-2021-0182

  42800 3915 pp. 156-188

• Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem

  Yunyun Ma, Jiguang Sun

  2022-05-06

  DOI:10.4208/cicp.OA-2022-0016

  45122 3296 pp. 1546-1560

• Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

  Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2022-05-06

  DOI:10.4208/cicp.OA-2021-0197

  45192 3299 pp. 1489-1524

• 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

• A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow

  Xiaofeng He, Kun Wang, Yiwei Feng, Tiegang Liu, Xiaojun Wang

  2022-03-30

  DOI:10.4208/cicp.OA-2021-0098

  51697 3278 pp. 1134-1161

• 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 Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics

  R. Chauvin, S. Guisset, B. Manach-Perennou, L. Martaud

  2021-12-06

  DOI:10.4208/cicp.OA-2021-0059

  48432 4448 pp. 293-330

• A Modified Adaptive Improved Mapped WENO Method

  Ruo Li, Wei Zhong

  2021-10-26

  DOI:10.4208/cicp.OA-2021-0057

  46225 3266 pp. 1545-1588

• Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media

  Rui Li, Haijian Yang, Chao Yang

  2021-10-26

  DOI:10.4208/cicp.OA-2021-0076

  47582 3279 pp. 1499-1528

• Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

  Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue

  2021-08-10

  DOI:10.4208/cicp.OA-2021-0011

  47693 3240 pp. 1185-1215

• A Wavelet-Adaptive Method for Multiscale Simulation of Turbulent Flows in Flying Insects

  Thomas Engels, Kai Schneider, Julius Reiss, Marie Farge

  2021-08-10

  DOI:10.4208/cicp.OA-2020-0246

  48722 3242 pp. 1118-1149