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  • Error Analysis of Virtual Element Methods for the Time-Dependent Poisson-Nernst-Planck Equations

    Ying Yang, Ya Liu, Yang Liu, Shi Shu
    2024-11-21
    DOI:10.4208/jcm.2401-m2023-0130
    16308 1580 pp. 731-770
  • Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime

    Gengen Zhang, Chunmei Su
    2023-12-01
    DOI:10.4208/jcm.2204-m2022-0001
    28284 2580 pp. 289-312
  • Interior Estimates of Semidiscrete Finite Element Methods for Parabolic Problems with Distributional Data

    Li Guo, Hengguang Li, Yang Yang
    2019-04-29
    DOI:10.4208/jcm.1804-m2017-0240
    40620 3128 pp. 458-474
  • $ℓ^1$-Error Estimates on the Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials: A Simple Proof

    Xinchun Li
    2021-07-01
    DOI:10.4208/jcm.1701-m2016-0717
    36103 3818 pp. 814-827
  • Uniformly a Posteriori Error Estimate for the Finite Element Method to a Model Parameter Dependent Problem

    Yiran Zhang, Jun Hu
    2018-08-07
    32627 3640 pp. 716-727
  • Convergence of an Immersed Interface Upwind Scheme for Linear Advection Equations with Piecewise Constant Coefficients I: $L^1$-Error Estimates

    Xin Wen & Shi Jin
    2018-08-15
    33461 4401 pp. 1-22
  • An Anisotropic Nonconforming Finite Element with Some Superconvergence Results

    DY Shi, SP Mao, SC Chen
    2005-06-02
    33855 3711 pp. 261-274
  • Absolute Stable Homotopy Finite Element Methods for Circular Arch Problem and Asymptotic Exactness Posteriori Error Estimate

    Min-Fu Feng, Ping-Bing Ming, Rong-Kui Yang
    2021-07-01
    32632 3556 pp. 653-672
  • Error Estimates for the Finite Element Solutions of Some Variational Inequalities with Nonlinear Monotone Operator

    Lie-Heng Wang
    1983-01-01
    34597 3965 pp. 99-105
  • Efficient Spectral Methods for Eigenvalue Problems of the Integral Fractional Laplacian on a Ball of Any Dimension

    Suna Ma, Huiyuan Li, Zhimin Zhang, Hu Chen, Lizhen Chen
    2024-04-09
    DOI:10.4208/jcm.2304-m2022-0243
    26309 2024 pp. 1032-1062
  • High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

    Ruihan Guo, Liangyue Ji, Yan Xu
    2018-08-22
    DOI:10.4208/jcm.1510-m2014-0002
    41317 3041 pp. 135-158
  • Numerical Methods for Approximating Stochastic Semilinear Time-Fractional Rayleigh-Stokes Equations

    Mariam Al-Maskari
    2024-11-21
    DOI:10.4208/jcm.2311-m2023-0047
    19512 1523 pp. 569-587
  • New Error Estimates for Linear Triangle Finite Elements in the Steklov Eigenvalue Problem

    Hai Bi, Yidu Yang, Yuanyuan Yu, Jiayu Han
    2018-09-17
    DOI:10.4208/jcm.1703-m2014-0188
    39383 2947 pp. 682-692
  • A Weak Galerkin Mixed Finite Element Method for Second-Order Elliptic Equations with Robin Boundary Conditions

    Qian Zhang, Ran Zhang
    2018-08-22
    DOI:10.4208/jcm.1604-m2015-0413
    36805 2951 pp. 532-548
  • Approximation of Nonconforming Quasi-Wilson Element for Sine-Gordon Equations

    Dongyang Shi, Ding Zhang
    2018-08-22
    DOI:10.4208/jcm.1212-m3897
    36468 3558 pp. 271-282
  • A Posteriori Error Estimate of Finite Element Method for the Optimal Control with the Stationary Bénard Problem

    Yanzhen Chang, Danping Yang
    2018-08-22
    DOI:10.4208/jcm.1210-m3864
    35109 3782 pp. 68-87
  • Optimal Error Estimates for Nédélec Edge Elements for Time-Harmonic Maxwell's Equations

    Liuqiang Zhong, Shi Shu, Gabriel Wittum, Jinchao Xu
    2018-08-07
    DOI:10.4208/jcm.2009.27.5.011
    35048 3747 pp. 563-572
  • An Improved Error Analysis for Finite Element Approximation of Bioluminescence Tomography

    Wei Gong, Ruo Li, Ningning Yan, Weibo Zhao
    2018-08-07
    32114 3440 pp. 297-309
  • Order Results of General Linear Methods for Multiply Stiff Singular Perturbation Problems

    Si-Qing Gan, Geng Sun
    2002-10-02
    32894 3434 pp. 525-532
  • Sharp Error Estimate of Variable Time-Step Imex BDF2 Scheme for Parabolic Integro-Differential Equations with Initial Singularity Arising in Finance

    Chengchao Zhao, Ruoyu Yang, Yana Di, Jiwei Zhang
    2025-09-28
    DOI:10.4208/jcm.2406-m2023-0095
    5190 477 pp. 1118-1140
  • Numerical Solution of Non-Steady State Porous Flow Free Boundary Problems

    Shao-Yun Huang & Cai-Jing Zhou
    1985-03-01
    34652 3891 pp. 72-89
  • A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself

    Yazid Dendani, Radouen Ghanem
    2023-04-25
    DOI:10.4208/jcm.2110-m2021-0131
    39954 3321 pp. 717-740
  • An Exponential Wave Integrator Pseudospectral Method for the Symmetric Regularized-Long-Wave Equation

    Xiaofei Zhao
    2018-08-22
    DOI:10.4208/jcm.1510-m4467
    37974 4909 pp. 49-69
  • Optimal and Pressure-Independent $L^2$ Velocity Error Estimates for a Modified Crouzeix-Raviart Stokes Element with BDM Reconstructions

    C. Brennecke, A. Linke, C. Merdon, J. Schöberl
    2018-08-22
    DOI:10.4208/jcm.1411-m4499
    42082 3176 pp. 191-208
  • Reduced Basis Method for Parametrized Elliptic Advection-Reaction Problems

    Luca Dedè
    2018-08-22
    DOI:10.4208/jcm.2009.09-m3015
    36113 3989 pp. 122-148
  • Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

    Lingling Zhou, Wenhua Chen, Ruihan Guo
    2026-02-15
    DOI:10.4208/jcm.2410-m2024-0092
    2567 254 pp. 286-306
  • A Posteriori Error Estimates of a Non-Conforming Finite Element Method for Problems with Artificial Boundary Conditions

    Xianmin Xu, Zhiping Li
    2021-07-01
    DOI:10.4208/jcm.2009.09-m2608
    35113 3812 pp. 677-696
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