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International Journal of Numerical Analysis and Modeling
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  • Strong Backward Error Analysis for Euler-Maruyama Method

    J. Deng
    2018-08-15
    33641 4059 Pages:1-21
  • Reliable and Efficient Averaging Techniques as Universal Tool for a Posteriori Finite Element Error Control on Unstructured Grids

    Carsten Carstensen
    2006-08-01
    30858 2470 Pages:333-347
  • 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
  • Model Error in the LANS-Alpha and NS-Alpha Deconvolution Models of Turbulence

    Eric Olson
    2018-08-15
    32478 2597 Pages:811-833
  • Global Convergence of a Posteriori Error Estimates for the Discontinuous Galerkin Method for One-Dimensional Linear Hyperbolic Problems

    M. Baccouch
    2021-10-20
    33331 3689 Pages:172-192
  • 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
  • Error Estimates for an Optimal Control Problem Governed by the Heat Equation with State and Control Constraints

    G. Wang & X. Yu
    2018-08-15
    31336 3618 Pages:30-65
  • Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal-Oriented a Posteriori Error Estimation

    R. Hartmann & P. Houston
    2006-03-01
    30997 2608 Pages:141-162
  • Improved Error Estimates of a Finite Difference/Spectral Method for Time-Fractional Diffusion Equations

    Chunwan Lv & Chuanju Xu
    2015-12-01
    35257 2666 Pages:384-400
  • Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation as a Port-Hamiltonian System

    Ghislain Haine, Denis Matignon, Anass Serhani
    2022-11-28
    292493 3029 Pages:92-133
  • A Conforming Discontinuous Galerkin Finite Element Method for Second-Order Parabolic Equation

    Fuchang Huo, Yuchen Sun, Jiageng Wu, Liyuan Zhang
    2025-03-14
    7993 633 Pages:432-458
  • Fully Computable Error Bounds for Eigenvalue Problem

    Qichen Hong, Hehu Xie, Meiling Yue, Ning Zhang
    2018-08-14
    32259 3758 Pages:260-276
  • Weighted $L^2$-Norm a Posteriori Error Estimation of FEM in Polygons

    Thomas P. Wihler
    2007-04-01
    32373 3969 Pages:100-115
  • Anisotropic $hp$-Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows

    S. Giani & P. Houston
    2012-09-01
    32224 2548 Pages:928-949
  • An Elasto-Viscoplastic Contact Problem: An a Posteriori Error Analysis and Computational Experiments

    J. R. Fernández
    2011-08-01
    32705 2550 Pages:373-390
  • A Priori Error Estimates for Finite Volume Element Approximations to Second Order Linear Hyperbolic Integro-Differential Equations

    Samir Karaa & Amiya K. Pani
    2015-12-01
    32421 2674 Pages:401-429
  • Numerical Analysis of a History-Dependent Variational-Hemivariational Inequality for a Viscoplastic Contact Problem

    Xiaoliang Cheng, Xilu Wang
    2020-10-27
    35363 2643 Pages:820-838
  • Formulas of Numerical Differentiation on a Uniform Mesh for Functions with the Exponential Boundary Layer

    Alexander Zadorin, Svetlana Tikhovskaya
    2019-02-21
    34496 2715 Pages:590-608
  • Numerical Analysis of a Thermoelastic Diffusion Problem with Voids

    J. R. Fernández & M. Masid
    2016-05-08
    31752 2622 Pages:153-174
  • Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential

    Amanda E. Diegel, Cheng Wang, Steven M. Wise
    2025-04-29
    7046 491 Pages:483-509
  • A Posteriori Error Estimation for a Defect-Correction Method Applied to Convection-Diffusion Problems

    T. Linss & N. Kopteva
    2010-07-01
    31284 2607 Pages:718-733
  • Control of Geometry Induced Error in $hp$ Finite Element (FE) Simulations, I. Evaluation of FE Error for Curvilinear Geometries

    D. Xue & L. Demkowicz
    2005-02-01
    29126 2529 Pages:283-300
  • A New Collocation Method for Solving Certain Hadamard Finite-Part Integral Equation

    Hui Feng, Yan Gao, Lili Ju, Xiaoping Zhang
    2019-02-22
    35810 2675 Pages:240-254
  • An Interior Penalty Discontinuous Galerkin Method for a Class of Monotone Quasilinear Elliptic Problems

    Peter W. Fick
    2015-12-01
    33099 2577 Pages:750-777
  • Local Error Estimates of the LDG Method for 1-D Singularly Perturbed Problems

    H. Zhu & Z. Zhang
    2013-10-01
    32175 2646 Pages:350-373
  • An Error Estimate of a Eulerian-Lagrangian Localized Adjoint Method for a Space-Fractional Advection Diffusion Equation

    Tingting Wang, Xiaofan Li, Hong Wang
    2020-02-03
    57704 3300 Pages:151-171
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for the Two-Dimensional Sine-Gordon Equation on Cartesian Grids

    Mahboub Baccouch
    2018-11-22
    33245 2749 Pages:436-462
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