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

  35600 2925 Pages: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

  34174 2752 Pages:749-786

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

  Meiling Zhao, Jiahui He, Liqun Wang

  2023-09-04

  31739 2649 Pages: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

  34816 2751 Pages:503-529

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

  Zhicheng Hu, Guanghan Li

  2023-09-04

  33052 2772 Pages: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

  33221 3387 Pages:132-172

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

  Yufen Zhou, Xueshang Feng

  2023-08-14

  35302 3694 Pages: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

  39202 2950 Pages:1381-1408

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

  Shamsulhaq Basir

  2023-06-06

  41846 3028 Pages: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

  37799 3095 Pages: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

  37885 3082 Pages:1437-1473

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

  Hailong Sheng, Chao Yang

  2022-10-28

  47147 3350 Pages:980-1006

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

  Fan Zhang, Tiegang Liu

  2022-09-29

  41116 3192 Pages:850-877

• Efficient Flexible Boundary Conditions for Long Dislocations

  M. Hodapp

  2022-09-29

  41487 3233 Pages:671-714

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

  Yingxia Xi, Xia Ji

  2022-08-11

  301774 3372 Pages: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

  43054 3774 Pages: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

  42795 3911 Pages:156-188

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

  Yunyun Ma, Jiguang Sun

  2022-05-06

  45117 3293 Pages:1546-1560

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

  Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2022-05-06

  45188 3298 Pages:1489-1524

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

  Jingrun Chen, Shi Jin, Liyao Lyu

  2022-03-30

  47294 3060 Pages: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

  51695 3278 Pages:1134-1161

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

  Yujie Liu, Chao Yang

  2022-03-03

  45622 3272 Pages:739-770

• A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics

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

  2021-12-06

  48430 4445 Pages:293-330

• A Modified Adaptive Improved Mapped WENO Method

  Ruo Li, Wei Zhong

  2021-10-26

  46223 3264 Pages: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

  47579 3279 Pages: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

  47691 3237 Pages: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

  48717 3241 Pages:1118-1149