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International Journal of Numerical Analysis and Modeling
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  • Symmetric High Order Gautschi-Type Exponential Wave Integrators Pseudospectral Method for the Nonlinear Klein-Gordon Equation in the Nonrelativistic Limit Regime

    Yan Wang, Xiaofei Zhao
    2018-08-15
    32066 2517 Pages:405-427
  • An Optimal-Order Error Estimate for an $H^1$-Galerkin Mixed Method for a Pressure Equation in Compressible Porous Medium Flow

    H. Chen, Z. Zhou & H. Wang
    2012-09-01
    32786 3697 Pages:132-148
  • Discontinuous Galerkin Methods for Convection-Diffusion Equations for Varying and Vanishing Diffusivity

    J. Proft, B. Rivière
    2009-06-01
    30763 2614 Pages:533-561
  • Finite Volume Element Method for Second Order Hyperbolic Equations

    S. Kumar, N. Nataraj & A. K. Pani
    2008-05-01
    32514 3834 Pages:132-151
  • On the Linear Thermoelasticity with Two Porosities: Numerical Aspects

    Noelia Bazarra, José R. Fernández, Mari Carme Leseduarte, Antonio Magaña, Ramón Quintanilla
    2020-02-03
    35006 2627 Pages:172-194
  • Local Analysis of the Local Discontinuous Galerkin Method with the Generalized Alternating Numerical Flux for Two-Dimensional Singularly Perturbed Problem

    Yao Cheng, Qiang Zhang, Haijin Wang
    2018-08-15
    32412 2595 Pages:785-810
  • Subgrid Model for the Stationary Incompressible Navier-Stokes Equations Based on the High Order Polynomial Interpolation

    Y. Zhang, M. Feng, Y. He
    2010-07-01
    31297 2557 Pages:734-748
  • Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Cylindrical Periodicity

    Hao Dong, Yufeng Nie, Junzhi Cui, Zihao Yang, Ziqiang Wang
    2018-08-15
    32319 2511 Pages:834-863
  • An Optimal 9-Point Finite Difference Scheme for the Helmholtz Equation with PML

    Z. Chen, D. Cheng, W. Feng & T. Wu
    2013-10-01
    32905 15865 Pages:389-410
  • A Singularly Perturbed Convection-Diffusion Problem with a Moving Interior Layer

    J. L.Gracia & E. O'Riordan
    2012-09-01
    33106 2532 Pages:823-843
  • Analysis of Pollution-Free Approaches for Multi-Dimensional Helmholtz Equations

    Kun Wang, Yau Shu Wong, Jizu Huang
    2018-11-22
    33567 2729 Pages:412-435
  • A New $a$ $Posteriori$ Error Estimate for the Interior Penalty Discontinuous Galerkin Method

    Wei Yang, Luling Cao, Yunqing Huang, Jintao Cui
    2019-02-22
    35763 2748 Pages:210-224
  • Error Analysis of a Finite Difference Scheme for the Epitaxial Thin Film Model with Slope Selection with an Improved Convergence Constant

    Z.-H. Qiao, C. Wang, S. M. Wise & Z.-R. Zhang
    2016-05-08
    32059 2662 Pages:283-305
  • A Priori Error Estimates of a Signorini Contact Problem for Electro-Elastic Materials

    S. Bourichi, El-H. Essoufi & R. Fakhar
    2016-07-03
    32247 2703 Pages:627-647
  • Equivalent a Posteriori Error Estimates for a Constrained Optimal Control Problem Governed by Parabolic Equations

    Tongjun Sun, Liang Ge, Wenbin Liu
    2018-08-15
    34687 3810 Pages:1-23
  • Adaptive Finite Element Methods for Parameter Estimation Problems in Linear Elasticity

    T. Feng, M. Gulliksson & W. Liu
    2009-06-01
    31526 3596 Pages:17-32
  • Backward Euler Schemes for the Kelvin-Voigt Viscoelastic Fluid Flow Model

    A. K. Pany, S. K. Paikray, S. Padhy & A. K. Pani
    2016-01-08
    32936 4145 Pages:126-151
  • Energy Norm Error Estimates for Averaged Discontinuous Galerkin Methods in 1 Dimension

    G. Csorgo & F. Izsak
    2014-11-01
    32307 2527 Pages:567-586
  • Two-Grid $hp$-Version Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows

    S. Congreve & P. Houston
    2014-11-01
    32944 2583 Pages:496-524
  • An Arbitrary-Order Ultra-Weak Discontinuous Galerkin Method for Two-Dimensional Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2022-09-27
    37033 2629 Pages:864-886
  • Finite Element Approximation of a Non-Local Problem in Non-Fickian Polymer Diffusion

    S. Shaw
    2011-08-01
    32137 2551 Pages:226-251
  • A Posteriori Error Estimator for Spectral Approximations of Completely Continuous Operators

    Y. Yang & Q. Huang
    2006-08-01
    30180 2538 Pages:361-370
  • An a Priori Error Analysis of a Problem Involving Mixtures of Continua with Gradient Enrichment

    Noelia Bazarra, José R. Fernández, Antonio Magaña, Marc Magaña, Ramόn Quintanilla
    2024-04-07
    20501 1700 Pages:165-180
  • Orthogonal Spline Collocation for Singularly Perturbed Reaction Diffusion Problems in One Dimension

    Pankaj Mishra, Kapil K. Sharma, Amiya K. Pani, Graeme Fairweather
    2019-02-21
    35209 2726 Pages:647-667
  • Analysis of a Fully Discrete Finite Element Method for the Maxwell–Schrödinger System in the Coulomb Gauge

    Chupeng Ma, Liqun Cao, Jizu Huang
    2018-10-19
    34570 3915 Pages:139-166
  • On a Numerical Technique to Study Difference Schemes for Singularly Perturbed Parabolic Reaction-Diffusion Equations

    G. Shishkin, L. Shishkina, J. L. Gracia, C. Clavero
    2021-10-20
    34359 2492 Pages:412-426
  • Numerical Analysis of Modular VMS Methods with Nonlinear Eddy Viscosity for the Navier-Stokes Equations

    L. Shan, W. J. Layton, H. Zheng
    2013-10-01
    32262 2582 Pages:943-971
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