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  • Fast Solvers for the Symmetric IPDG Discretization of Second Order Elliptic Problems

    Liuqiang Zhong, Eric T. Chung, Chunmei Liu
    2015-12-01
    33436 2791 pp. 455-475
  • Unconditional Convergence of High-Order Extrapolations of the Crank-Nicolson, Finite Element Method for the Navier-Stokes Equations

    R. Ingram
    2013-10-01
    37974 2736 pp. 257-297
  • Modified BDF2 Schemes for Subdiffusion Models with a Singular Source Term

    Minghua Chen, Jiankang Shi, Zhi Zhou
    2025-08-04
    DOI:10.4208/ijnam2025-1039
    6276 555 pp. 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
    DOI:10.4208/ijnam2023-1038
    22554 2029 pp. 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
    31440 2606 pp. 734-748
  • Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation

    Tiao Lu, Wei Cai, Pingwen Zhang
    2005-04-03
    32373 3755 pp. 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
    33123 4009 pp. 85-96
  • A Buffered Fourier Spectral Method for Non-periodic PDE

    Huankun Fu, Chaoqun Liu
    2012-09-01
    32198 2441 pp. 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
    43021 2711 pp. 642-655
  • Reduced Order Modeling of Some Nonlinear Stochastic Partial Differential Equations

    John Burkardt, Max D. Gunzburger, Clayton Webster
    2021-11-09
    30680 2492 pp. 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
    DOI:10.4208/ijnam2025-1037
    6366 561 pp. 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
    34429 2806 pp. 884-918
  • Convergence of High Order Methods for Miscible Displacement

    Y. Epshteyn, B. Rivière
    2018-07-09
    32152 2638 pp. 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
    31994 3858 pp. 40-54
  • A Novel Deep Neural Network Algorithm for the Helmholtz Scattering Problem in the Unbounded Domain

    Andy L Yang
    2023-09-19
    DOI:10.4208/ijnam2023-1032
    24901 2189 pp. 724-738
  • High Degree Immersed Finite Element Spaces by a Least Squares Method

    Slimane Adjerid, Ruchi Guo, Tao Lin
    2018-09-18
    32624 2634 pp. 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
    DOI:10.4208/ijnam2023-1023
    28452 2451 pp. 538-556
  • Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System

    Konstantinos Chrysafinos, Dimitrios Kostas
    2022-09-27
    40837 2803 pp. 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
    30403 3243 pp. 85-100
  • Multi-Scale Non-Standard Fourth-Order PDE in Image Denoising and Its Fixed Point Algorithm

    Anis Theljani
    2021-02-04
    34025 3382 pp. 38-61
  • Comparison of Solvers for 2D Schrödinger Problems

    F. J. Gaspar, C. Rodrigo, R. Ciegis, A. Mirinavicius
    2021-10-20
    34249 4025 pp. 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
    33122 2556 pp. 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
    DOI:10.4208/ijnam2023-1001
    294033 3338 pp. 1-28
  • Provably Size-Guaranteed Mesh Generation with Superconvergence

    Xiangrong Li, Nan Qi, Weiwei Zhang, Yufeng Nie
    2020-02-03
    34509 2597 pp. 236-253
  • Parallel Data Partitioning Strategy in Solving Large Scale Electromagnetic Scattering Problems

    Yue Hu, Weiqin Tong, Xingang Wang, Xiaoli Zhi
    2012-09-01
    32819 2500 pp. 257-269
  • A Slope Limiting Procedure in Discontinuous Galerkin Finite Element Method for Gasdynamics Applications

    S. Tu, S. Aliabadi
    2005-02-01
    31608 2719 pp. 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
    297415 2852 pp. 603-629
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