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International Journal of Numerical Analysis and Modeling
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  • Unconditional Convergence of High-Order Extrapolations of the Crank-Nicolson, Finite Element Method for the Navier-Stokes Equations

    R. Ingram
    2013-10-01
    37812 2683 Pages:257-297
  • Modified BDF2 Schemes for Subdiffusion Models with a Singular Source Term

    Minghua Chen, Jiankang Shi, Zhi Zhou
    2025-08-04
    5846 467 Pages:897-924
  • High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions

    Champike Attanayake, So-Hsiang Chou, Quanling Deng
    2023-11-13
    22346 1965 Pages:870-895
  • 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
  • Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation

    T. Lu, W. Cai & P. Zhang
    2005-04-03
    32216 3630 Pages:75-84
  • A High Order Parallel Method for Time Discretization of Parabolic Type Equations Based on Laplace Transformation and Quadrature

    Vidar Thomée
    2005-04-03
    32976 3909 Pages:85-96
  • A Buffered Fourier Spectral Method for Non-periodic PDE

    H. Fu & C. Liu
    2012-09-01
    31979 2384 Pages:460-478
  • Stabilized Invariant Energy Quadratization (S-IEQ) Method for the Molecular Beam Epitaxial Model Without Slope Section

    Hui Zhang, Xiaofeng Yang, Jun Zhang
    2021-08-09
    42794 2644 Pages:642-655
  • Reduced Order Modeling of Some Nonlinear Stochastic Partial Differential Equations

    J. Burkardt, Max D. Gunzburger & C. Webster
    2021-11-09
    30515 2438 Pages:368-391
  • 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
    5903 453 Pages:843-859
  • A General Strategy for Numerical Approximations of Non-Equilibrium Models – Part I: Thermodynamical Systems

    Jia Zhao, Xiaofeng Yang, Yuezheng Gong, Xueping Zhao, Xiaogang Yang, Jun Li, Qi Wang
    2018-08-15
    34247 2726 Pages:884-918
  • Convergence of High Order Methods for Miscible Displacement

    Y. Epshteyn, B. Rivière
    2018-07-09
    31949 2565 Pages:47-63
  • A New High Order Two Level Implicit Discretization for the Solution of 3D Nonlinear Parabolic Equations

    R. K. Mohanty & S. Singh
    2008-05-01
    31838 3749 Pages:40-54
  • A Novel Deep Neural Network Algorithm for the Helmholtz Scattering Problem in the Unbounded Domain

    Andy L Yang
    2023-09-19
    24648 2111 Pages:724-738
  • High Degree Immersed Finite Element Spaces by a Least Squares Method

    Slimane Adjerid, Ruchi Guo & Tao Lin
    2018-09-18
    32459 2578 Pages:604-626
  • High Order Method for Variable Coefficient Integro-Differential Equations and Inequalities Arising in Option Pricing

    Pradeep Kumar Sahu, Kuldip Singh Patel
    2023-05-22
    28243 2400 Pages:538-556
  • Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System

    Konstantinos Chrysafinos, Dimitrios Kostas
    2022-09-27
    40604 2750 Pages:404-423
  • A Scalar Auxiliary Variable (SAV) and Operator Splitting Compact Finite Difference Method for Peritectic Phase Field Model

    Jiajie Fei, Shusen Xie , Chunguang Chen
    2022-03-22
    30201 3143 Pages:85-100
  • Multi-Scale Non-Standard Fourth-Order PDE in Image Denoising and Its Fixed Point Algorithm

    Anis Theljani
    2021-02-04
    33818 3304 Pages:38-61
  • Comparison of Solvers for 2D Schrödinger Problems

    F. J. Gaspar, C. Rodrigo, R. Ciegis, A. Mirinavicius
    2021-10-20
    34065 3933 Pages:131-147
  • Stability of Two-Integrators for the Aliev-Panfilov System

    M. Hanslien, R. Artebrant, A. Tveito, G. T. Lines, X. Cai
    2011-08-01
    32917 2502 Pages:427-442
  • Isogeometric Solution of Helmholtz Equation with Dirichlet Boundary Condition in Regions with Irregular Boundary: Numerical Experiences

    Victoria Hernández Mederos, Isidro Abellό Ugalde, Rolando M. Bruno Alfonso, Domenico Lahaye, Valia Guerra Ones
    2022-11-28
    293815 3190 Pages:1-28
  • Provably Size-Guaranteed Mesh Generation with Superconvergence

    Xiangrong Li, Nan Qi, Weiwei Zhang, Yufeng Nie
    2020-02-03
    34317 2554 Pages:236-253
  • Parallel Data Partitioning Strategy in Solving Large Scale Electromagnetic Scattering Problems

    Y. Hu, W. Tong, X. Wang & X. Zhi
    2012-09-01
    32599 2450 Pages:257-269
  • A Slope Limiting Procedure in Discontinuous Galerkin Finite Element Method for Gasdynamics Applications

    S. Tu, S. Aliabadi
    2005-02-01
    31464 2653 Pages:163-178
  • 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
    297227 2787 Pages:603-629
  • Using $p$-Refinement to Increase Boundary Derivative Convergence Rates

    David Wells, Jeffrey Banks
    2019-08-09
    34473 4021 Pages:891-924 Open-access
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