Search Results

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

  Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan

  2024-12-11

  11931 1439 Pages:1100-1127

• A Posteriori Error Analysis of a $P_2$-CDG Space-Time Finite Element Method for the Wave Equation

  Yuling Guo, Jianguo Huang

  2022-07-19

  39080 3030 Pages:662-678

• A Stabilizer Free Weak Galerkin Finite Element Method for Elliptic Equation with Lower Regularity

  Yiying Wang, Yongkui Zou, Xuan Liu, Chenguang Zhou

  2024-05-11

  21245 1781 Pages:514-533

• Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

  Fengjiang Fu, Xiaoqun Wang

  2023-08-29

  28533 2542 Pages:668-700

• Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

  Xiu Ye, Shangyou Zhang

  2021-06-02

  48177 2902 Pages:613-623

• Error Analysis of the Deep Mixed Residual Method for High-Order Elliptic Equations

  Mengjia Bai, Jingrun Chen, Rui Du, Zhiwei Sun

  2025-05-16

  7578 593 Pages:395-436

• A Review of Unified a Posteriori Finite Element Error Control

  C. Carstensen, M. Eigel, R. H. W. Hoppe, C. Loebhard

  2012-05-01

  45120 4510 Pages:509-558 Open-access

• Numerical Analysis of a Second Order Crank-Nicolson Mixed Finite Element Method for the Swift-Hohenberg Equation

  Hongling Li, Manting Xie, Meiling Yue

  2025-10-22

  5584 361 Pages:947-971

• Error Analysis of the Mixed Residual Method for Elliptic Equations

  Kai Gu, Peng Fang, Zhiwei Sun, Rui Du

  2024-05-11

  21191 1750 Pages:534-554

• Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model

  Haijun Gao, Xi Li, Minfu Feng

  2025-04-06

  7199 733 Pages:66-102

• A-Posteriori Error Estimation for the Legendre Spectral Galerkin Method in One-Dimension

  Lijun Yi, Benqi Guo

  2018-08-14

  39886 3935 Pages:40-52

• Decoupling Analysis for Solving the Diffusive Peterlin Viscoelastic Model

  Zhen Miao, Yaolin Jiang

  2025-10-22

  5531 323 Pages:972-1002

• Discrete Approximation Scheme in Distributionally Robust Optimization

  Yongchao Liu, Xiaoming Yuan, Jin Zhang

  2021-01-26

  58214 2979 Pages:285-320

• Stability and Optimal Error Estimates Analysis of an LDG Method for the Stochastic Nonlinear KdV Equation

  Xuewei Liu, Zhenyu Wang, Xiaohua Ding, Shao-Liang Zhang

  2025-12-23

  520 198 Pages:192-218

• Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach

  Chenghua Duan, Chun Liu, Cheng Wang, Xingye Yue

  2020-03-06

  59029 4637 Pages:63-80

• Accuracy Enhancement of Discontinuous Galerkin Method for Hyperbolic Systems

  Tie Zhang, Jingna Liu

  2014-07-01

  39140 3535 Pages:214-233

• A Spectral Method for Neutral Volterra Integro-Differential Equation with Weakly Singular Kernel

  Yunxia Wei, Yanping Chen

  2013-06-01

  39800 3669 Pages:424-446

• Error Analysis for Empirical Risk Minimization over Clipped ReLU Networks in Solving Linear Kolmogorov Partial Differential Equations

  Jichang Xiao, Xiaoqun Wang

  2024-12-11

  12055 1377 Pages:996-1017

• Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

  Jie Ding, Xiang Ji, Ziheng Xu

  2025-09-01

  5182 458 Pages:703-732

• A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes

  Min Zhang, Weizhang Huang, Jianxian Qiu

  2023-01-13

  35090 3273 Pages:111-139

• A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu

  2022-03-23

  55831 3409 Pages:279-303

• Convergence Analysis of the Inexact Uzawa Algorithm for Nonlinear Saddle Point Problems

  Baohua Huang, Changfeng Ma

  2019-10-12

  47169 2811 Pages:1093-1118

• Numerical Analysis of a System of Singularly Perturbed Convection-Diffusion Equations Related to Optimal Control

  Hans-Goerg Roos, Christian Reibiger

  2011-04-01

  40925 3730 Pages:562-575

• Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations

  Yunxia Wei, Yanping Chen

  2011-04-01

  39674 4179 Pages:419-438

• Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings

  Zhe Jiao, Yaxu Li, Lijing Zhao

  2025-09-01

  5176 434 Pages:650-679

• Divergence-Free Virtual Element Method for the Stokes Equations with Damping on Polygonal Meshes

  Yu Xiong, Yanping Chen, Jianwei Zhou, Qin Liang

  2024-02-26

  23901 2390 Pages:210-242

• Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

  Liupeng Wang, Yunqing Huang, Kai Jiang

  2020-03-09

  45919 2924 Pages:372-399