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

  https://doi.org/10.4208/cicp.OA-2020-0124

  54602 3509 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

  https://doi.org/10.4208/cicp.2019.js60.03

  47993 3463 pp. 1307-1334

• 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

  https://doi.org/10.4208/cicp.OA-2016-0191

  46944 3570 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

  https://doi.org/10.4208/cicp.071015.050216a

  40737 3202 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

  https://doi.org/10.4208/cicp.OA-2023-0124

  34581 2682 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

  https://doi.org/10.4208/cicp.OA-2016-0121

  41841 4768 pp. 133-156

• 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

  https://doi.org/10.4208/cicp.OA-2023-0063

  35332 2836 pp. 813-836

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

  Futao Zhang, Yan Xu, Falai Chen & Ruihan Guo

  2020-07-30

  https://doi.org/10.4208/cicp.150215.250515a

  39635 3209 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

  https://doi.org/10.4208/cicp.080313.051213s

  42403 4297 pp. 1141-1158

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  https://doi.org/10.4208/cicp.OA-2021-0211

  45537 3242 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

  https://doi.org/10.4208/cicp.OA-2020-0074

  47156 3442 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

  https://doi.org/10.4208/cicp.OA-2016-0141

  41540 3308 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

  https://doi.org/10.4208/cicp.OA-2024-0256

  5916 407 pp. 684-710

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  https://doi.org/10.4208/cicp.OA-2020-0191

  70207 3742 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

  https://doi.org/10.4208/cicp.OA-2018-0208

  48462 3306 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

  https://doi.org/10.4208/cicp.OA-2021-0186

  51825 3084 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

  https://doi.org/10.4208/cicp.OA-2018-0104

  46198 3842 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

  https://doi.org/10.4208/cicp.OA-2022-0218

  40769 3224 pp. 596-627

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

  Xiao Li, Lili Ju, Xucheng Meng

  2019-08-27

  https://doi.org/10.4208/cicp.2019.js60.12

  46531 3321 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

  https://doi.org/10.4208/cicp.211210.280611a

  39120 4295 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

  https://doi.org/10.4208/cicp.OA-2015-0021

  41544 3223 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

  https://doi.org/10.4208/cicp.2009.09.060

  40603 4627 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

  37696 4294 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

  https://doi.org/10.4208/cicp.OA-2021-0195

  58803 3318 pp. 1020-1048

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

  Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu

  2020-11-18

  https://doi.org/10.4208/cicp.OA-2020-0214

  63549 3432 pp. 1838-1885

• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

  Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang

  2020-07-21

  https://doi.org/10.4208/cicp.OA-2019-0037

  49155 3215 pp. 967-998

• Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

  Jiwei Zhang, Dongfang Li & Xavier Antoine

  2018-09-01

  https://doi.org/10.4208/cicp.OA-2017-0195

  46615 5292 pp. 218-243