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

  DOI:10.4208/cicp.OA-2020-0124

  54958 3612 pp. 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

  DOI:10.4208/cicp.2019.js60.03

  48248 3530 pp. 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

  DOI:10.4208/cicp.OA-2025-0102

  243 68 pp. 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

  DOI:10.4208/cicp.OA-2016-0191

  47184 3638 pp. 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

  DOI:10.4208/cicp.071015.050216a

  40868 3244 pp. 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

  DOI:10.4208/cicp.OA-2023-0124

  34822 2752 pp. 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

  DOI:10.4208/cicp.OA-2016-0121

  42000 4919 pp. 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

  DOI:10.4208/cicp.OA-2025-0130

  797 159 pp. 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

  DOI:10.4208/cicp.OA-2023-0063

  35606 2926 pp. 813-836

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

  Qin Li, Pengxin Liu, Hanxin Zhang

  2020-07-30

  DOI:10.4208/cicp.150215.250515a

  39775 3261 pp. 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

  DOI:10.4208/cicp.080313.051213s

  42559 4374 pp. 1141-1158

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  DOI:10.4208/cicp.OA-2021-0211

  45822 3323 pp. 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

  DOI:10.4208/cicp.OA-2020-0074

  47424 3536 pp. 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

  DOI:10.4208/cicp.OA-2016-0141

  41690 3362 pp. 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

  DOI:10.4208/cicp.OA-2024-0256

  6599 519 pp. 684-710

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0191

  70604 3843 pp. 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

  DOI:10.4208/cicp.OA-2018-0208

  48716 3392 pp. 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

  DOI:10.4208/cicp.OA-2021-0186

  52182 3175 pp. 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

  DOI:10.4208/cicp.OA-2018-0104

  46408 3907 pp. 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

  DOI:10.4208/cicp.OA-2022-0218

  41082 3304 pp. 596-627

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

  Xiao Li, Lili Ju, Xucheng Meng

  2019-08-27

  DOI:10.4208/cicp.2019.js60.12

  46766 3384 pp. 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

  DOI:10.4208/cicp.211210.280611a

  39356 4425 pp. 1439-1502

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

  Matej Klima, Milan Kucharik, Mikhail Shashkov

  2018-04-08

  DOI:10.4208/cicp.OA-2015-0021

  41701 3297 pp. 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

  DOI:10.4208/cicp.2009.09.060

  40788 4691 pp. 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

  37895 4424 pp. 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

  DOI:10.4208/cicp.OA-2021-0195

  59117 3462 pp. 1020-1048

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

  Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0214

  63895 3512 pp. 1838-1885