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International Journal of Numerical Analysis and Modeling
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  • A New Finite Volume Method for the Stokes Problems

    J. Wang, Y. Wang & X. Ye
    2010-07-01
    31300 2593 Pages:281-302
  • Uniform Convergence of a Coupled Method for Convection-Diffusion Problems in 2-D Shishkin Mesh

    P. Zhu, Z. Xie & S. Zhou
    2013-10-01
    32689 2538 Pages:845-859
  • Discontinuous Galerkin Method for Monotone Nonlinear Elliptic Problems

    C. Bi & Y. Lin
    2012-09-01
    32725 2572 Pages:999-1024
  • Some Multiscale Results Using Limited Global Information for Two-Phase Flow Simulations

    L. Jiang, J. E. Aarnes, Y. Efendiev
    2012-09-01
    33940 3854 Pages:115-131
  • Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

    Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park
    2024-10-08
    12768 984 Pages:652-673
  • A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2023-11-13
    22306 1982 Pages:772-804
  • 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
    36577 2664 Pages:767-793
  • 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
  • The $h$-$p$ Version of the Continuous Petrov-Galerkin Method for Nonlinear Volterra Functional Integro-Differential Equations with Vanishing Delays

    Lijun Yi, Benqi Guo
    2018-08-14
    33935 3767 Pages:26-47
  • An Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for the Second-Order Wave Equation in One Space Dimension

    Mahboub Baccouch
    2017-06-01
    32409 2693 Pages:355-380
  • Asymptotically Exact Local Discontinuous Galerkin Error Estimates for the Linearized Korteweg-de Vries Equation in One Space Dimension

    Mahboub Baccouch
    2015-12-01
    33432 3943 Pages:162-195
  • Analysis of the Discontinuous Galerkin Interior Penalty Method with Solenoidal Approximations for the Stokes Equations

    A. Montlaur & S. Fernandez-Mendez
    2014-11-01
    32266 2646 Pages:715-725
  • Energy Norm Error Estimates for Averaged Discontinuous Galerkin Methods in 1 Dimension

    G. Csorgo & F. Izsak
    2014-11-01
    32307 2527 Pages:567-586
  • A Uniformly Optimal-Order Estimate for Bilinear Finite Element Method for Transient Advection-Diffusion Equations

    Q. Lin, K. Wang, H. Wang & X. Yin
    2012-09-01
    33342 3759 Pages:73-85
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for Willmore Flow of Graphs on Cartesian Meshes

    L. Ji & Y. Xu
    2011-08-01
    31717 2558 Pages:252-283
  • The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations

    Z. Zhou & N. Yan
    2010-07-01
    31283 2578 Pages:681-699
  • Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem

    T. Sun
    2018-08-15
    31581 3608 Pages:87-107
  • $hp$-Version Interior Penalty Discontinuous Galerkin Finite Element Methods on Anisotropic Meshes

    Emmanuil H. Georgoulis
    2006-03-01
    31039 3765 Pages:52-79
  • Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation

    R. Hartmann & P. Houston
    2006-03-01
    30771 4068 Pages:1-20
  • Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation

    T. Lu, W. Cai & P. Zhang
    2005-04-03
    32216 3630 Pages:75-84
  • 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
  • Interior-Exterior Penalty Approach for Solving Elasto-Hydrodynamic Lubrication Problem: Part I

    Peeyush Singh, Prawal Sinha
    2020-08-04
    34860 2537 Pages:695-731
  • Uniform $L^p$-Bound of the Allen-Cahn Equation and Its Numerical Discretization

    Jiang Yang, Qiang Du, Wei Zhang
    2018-08-14
    33359 3723 Pages:213-227 Open-access
  • Analysis of a Galerkin Finite Element Method Applied to a Singularly Perturbed Reaction-Diffusion Problem in Three Dimensions

    Stephen Russell, Niall Madden
    2020-05-20
    34930 2694 Pages:297-315
  • An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs

    Xiao Zhang, Yangwen Zhang, John R. Singler
    2019-02-21
    34077 2630 Pages:519-542
  • Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes

    Zhaonan Dong
    2019-08-09
    33680 2603 Pages:825-846
  • Hybridizable Discontinuous Galerkin Method for Linear Hyperbolic Integro-Differential Equations

    Riya Jain, Sangita Yadav
    2025-02-20
    8649 566 Pages:202-225
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