Search Results

• A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

  Hong-Lin Liao, William McLean, Jiwei Zhang

  2021-05-25

  54951 3609 Pages:567-601

• Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

  Weizhu Bao, Yue Feng, Wenfan Yi

  2019-08-27

  48241 3528 Pages:1307-1334

• A Complete Error Analysis of PINNs for Elliptic Equations Using Projected Stochastic Gradient Descent

  Yuling Jiao, Ruoxuan Li, Defeng Sun, Peiying Wu, Jerry Zhijian Yang

  2026-04-10

  111 25 Pages:27-60

• Dispersion Error Analysis of Stable Node-Based Finite Element Method for the Helmholtz Equation

  Xin Hu, Xiangyang Cui, Qunyi Zhang, Gang Wang, Guangyao Li

  2018-08-21

  47178 3635 Pages:795-821

• Estimation of Impacts of Removing Arbitrarily Constrained Domain Details to the Analysis of Incompressible Fluid Flows

  Kai Zhang, Ming Li, Jingzhi Li

  2018-04-04

  40864 3242 Pages:944-968

• 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

• A Numerical Analysis of the Weak Galerkin Method for the Helmholtz Equation with High Wave Number

  Yu Du, Zhimin Zhang

  2019-10-31

  41997 4912 Pages:133-156

• Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

  Jiwei Zhang, Zhimin Zhang, Chengchao Zhao

  2026-01-18

  788 157 Pages:1027-1058

• 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

• Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

  Qin Li, Pengxin Liu, Hanxin Zhang

  2020-07-30

  39773 3260 Pages:1380-1416

• The Stability and Convergence of Fully Discrete Galerkin-Galerkin FEMs for Porous Medium Flows

  Buyang Li, Jilu Wang, Weiwei Sun

  2020-07-31

  42555 4373 Pages:1141-1158

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  45812 3320 Pages:1007-1038

• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

  Yonghong Hao, Qiumei Huang, Cheng Wang

  2021-01-13

  47420 3532 Pages:905-929

• An Essential Extension of the Finite-Energy Condition for Extended Runge-Kutta-Nyström Integrators when Applied to Nonlinear Wave Equations

  Lijie Mei, Changying Liu, Xinyuan Wu

  2017-09-02

  41689 3360 Pages:742-764

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

  2025-08-23

  6594 516 Pages:684-710

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70590 3842 Pages:1707-1745

• Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

  Dongfang Li, Waixiang Cao, Chengjian Zhang, Zhimin Zhang

  2019-04-28

  48711 3392 Pages:838-854

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  52176 3172 Pages:1272-1295

• Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media

  Long Yuan, Qiya Hu

  2019-01-10

  46404 3903 Pages:1496-1522

• 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

  41076 3303 Pages:596-627

• Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation

  Xiao Li, Lili Ju, Xucheng Meng

  2019-08-27

  46761 3383 Pages:1510-1529

• Truncation Errors, Exact and Heuristic Stability Analysis of Two-Relaxation-Times Lattice Boltzmann Schemes for Anisotropic Advection-Diffusion Equation

  Irina Ginzburg

  2012-11-01

  39348 4422 Pages:1439-1502

• Local Error Analysis and Comparison of the Swept- and Intersection-Based Remapping Methods

  Matej Klima, Milan Kucharik, Mikhail Shashkov

  2018-04-08

  41701 3293 Pages:526-558

• On the Use of Adjoint-Based Sensitivity Estimates to Control Local Mesh Refinement

  Joseph D. Frazier, Peter K. Jimack, Robert M. Kirby

  2010-07-01

  40785 4690 Pages:631-638

• Truncated Gaussian RBF Differences are Always Inferior to Finite Differences of the Same Stencil Width

  John P. Boyd, Lei Wang

  2018-03-24

  37892 4421 Pages:42-60

• Convergence Rate Analysis for Deep Ritz Method

  Chenguang Duan, Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Jerry Zhijian Yang

  2022-03-30

  59110 3456 Pages:1020-1048

• Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks

  Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu

  2020-11-18

  63882 3510 Pages:1838-1885