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  • An Anisotropic Nonconforming Element for Fourth Order Elliptic Singular Perturbation Problem

    S. Chen, M. Liu & Z. Qiao
    2010-07-01
    31408 2617 pp. 766-784
  • A High-Order Mixed Finite Element Method for Second Order Elliptic Equations on Curved Domain with Boundary Value Corrections

    Yongli Hou, Yi Liu, Tengjin Zhao
    2026-03-11
    DOI:10.4208/ijnam2026-1019
    266 74 pp. 442–459
  • A Third Order Linearized BDF Scheme for Maxwell's Equations with Nonlinear Conductivity Using Finite Element Method

    Changhui Yao, Yanping Lin, Cheng Wang, Yanli Kou
    2018-09-18
    32570 2631 pp. 511-531
  • Second Order Parameter-Uniform Convergence for a Finite Difference Method for a Singularly Perturbed Linear Parabolic System

    V. Franklin, M. Paramasivam, J. J. H. Miller, S. Valarmathi
    2018-08-15
    35781 4186 pp. 178-202
  • An $H^1$-Galerkin Mixed Method for Second Order Hyperbolic Equations

    A. K. Pani, R. K. Sinha, A. K. Otta
    2004-01-01
    29901 2554 pp. 111-130
  • A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations

    Max Gunzburger, Nan Jiang, Michael Schneier
    2018-08-15
    33047 2530 pp. 608-627
  • An Unconditionally Stable Second Order Method for the Luo-Rudy 1 Model Used in Simulations of Defibrillation

    Monica Hanslien, Robert Artebrant, Joakim Sundnes, Aslak Tveito
    2009-06-01
    30581 2492 pp. 627-641
  • Error Analysis of a Finite Difference Scheme for the Epitaxial Thin Film Model with Slope Selection with an Improved Convergence Constant

    Zhonghua Qiao, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2016-05-08
    32240 2733 pp. 283-305
  • Convergence of Rothe Scheme for Hemivariational Inequalities of Parabolic Type

    P. Kalita
    2013-10-01
    32434 2707 pp. 445-465
  • Numerical Analysis of the Finite Difference Time Domain Methods with High Accuracy in Time for Maxwell Equations

    Liping Gao, Xiaosong Zhang, Rengang Shi
    2025-08-04
    DOI:10.4208/ijnam2025-1037
    6366 561 pp. 843-859
  • Mixed Virtual Element Method for Linear Parabolic Integro-Differential Equations

    Meghana Suthar, Sangita Yadav
    2024-06-24
    DOI:10.4208/ijnam2024-1020
    20128 1507 pp. 504-527
  • Optimal Uniform Convergence Analysis for a Two-Dimensional Parabolic Problem with Two Small Parameters

    Jichun Li
    2005-04-03
    32665 3841 pp. 107-126
  • Monolithic and Partitioned Finite Element Schemes for FSI Based on an ALE Divergence-Free HDG Fluid Solver and a TDNNS Structural Solver

    Guosheng Fu
    2023-01-14
    DOI:10.4208/ijnam2023-1011
    28416 2678 pp. 267-312
  • Asymptotically Exact a Posteriori Error Estimates for the Local Discontinuous Galerkin Method for Nonlinear KdV Equations in One Space Dimension

    Mahboub Baccouch
    2020-10-27
    36812 2711 pp. 767-793
  • Numerical Studies for an Interface Problem Involving Fourth- and Second-Order Poisson-Fermi Electrostatic Equations

    Mengjie Liu, Mingyan He, Pengtao Sun
    2025-02-20
    DOI:10.4208/ijnam2025-1011
    8696 628 pp. 226-245
  • An Efficient Rotational Pressure-Correction Scheme for the 2D/3D Navier-Stokes/Darcy Coupling Problem

    Minting Zhao, Jiawei Gao, Md. Abdullah AL Mahbub, Dan Chen
    2024-10-09
    DOI:10.4208/ijnam2024-1034
    14003 1176 pp. 850-878
  • High-Order Energy Stable Numerical Schemes for a Nonlinear Variational Wave Equation Modeling Nematic Liquid Crystals in Two Dimensions

    Peder Aursand, Ujjwal Koley
    2016-01-08
    33368 4549 pp. 20-47
  • Variational Multiscale a Posteriori Error Estimation for 2nd and 4th-Order ODEs

    Diego Irisarri, Guillermo Hauke
    2015-12-01
    32420 2707 pp. 430-454
  • Numerical Analysis of the Fractional Seventh-Order KdV Equation Using an Implicit Fully Discrete Local Discontinuous Galerkin Method

    L. Wei, Y. He, Y. Zhang
    2013-10-01
    32688 2627 pp. 430-444
  • An Optimal-Order Error Estimate for a Finite Difference Method to Transient Degenerate Advection-Diffusion Equations

    Tongchao Lu, Jinhong Jia
    2012-09-01
    32901 3859 pp. 56-72
  • Second Order Uniform Approximations for the Solution of Time Dependent Singularly Perturbed Reaction-Diffusion Systems

    Carmelo Clavero, Jose Luis Gracia, Francisco Lisbona
    2010-07-01
    32981 2571 pp. 428-443
  • Finite Volume Element Method for Second Order Hyperbolic Equations

    Sarvesh Kumar, Neela Nataraj, Amiya K. Pani
    2008-05-01
    32685 3942 pp. 132-151
  • Comparative Studies on Mesh-Free Deep Neural Network Approach Versus Finite Element Method for Solving Coupled Nonlinear Hyperbolic/Wave Equations

    Xingwen Zhu, Mingyan He, Pengtao Sun
    2022-08-22
    297415 2852 pp. 603-629
  • Convergence Analysis of Yee-FDTD Schemes for 3D Maxwell's Equations in Linear Dispersive Media

    ​Puttha Sakkaplangkul, Vrushali A. Bokil
    2021-05-25
    41422 2696 pp. 524-568
  • Convergence Analysis of Finite Element Approximation for 3-D Magneto-Heating Coupling Model

    Lixiu Wang, Changhui Yao, Zhimin Zhang
    2021-02-04
    56844 4667 pp. 1-23
  • Using $p$-Refinement to Increase Boundary Derivative Convergence Rates

    David Wells, Jeffrey Banks
    2019-08-09
    34657 4211 pp. 891-924 Open Access
  • Strong Convergence and Stability of the Semi-Tamed and Tamed Euler Schemes for Stochastic Differential Equations with Jumps under Non-Global Lipschitz Condition

    Antoine Tambue, Jean Daniel Mukam
    2019-08-09
    35163 4192 pp. 847-872 Open Access
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