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  • 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
  • Superconvergence and Flux Recovery for an Enriched Finite Element Method

    Champike Attanayake, So-Hsiang Chou
    2021-08-09
    42473 2629 pp. 656-673
  • An $hp$ Finite Element Method for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters

    ​Irene Sykopetritou, Christos Xenophontos
    2021-05-25
    40241 2716 pp. 481-499
  • The Weak Galerkin Finite Element Method for Solving the Time-Dependent Stokes Flow

    Xiuli Wang, Yuanyuan Liu, Qilong Zhai
    2020-08-04
    35825 2685 pp. 732-745
  • A Time-Accurate, Adaptive Discretization for Fluid Flow Problems

    Victor Decaria, William Layton, Haiyun Zhao
    2020-02-03
    36057 3921 pp. 254-280 Open Access
  • ​An Iterative Approach for Constructing Immersed Finite Element Spaces and Applications to Interface Problems

    Cheng Wang, Pengtao Sun, Zhilin Li
    2019-02-22
    36966 2766 pp. 167-191
  • A Simple Finite Element Method for Non-Divergence form Elliptic Equations

    Lin Mu, Xiu Ye
    2016-05-08
    32584 2747 pp. 306-311
  • Pure Lagrangian and Semi-Lagrangian Finite Element Methods for the Numerical Solution of Convection-Diffusion Problems

    Marta Benitez, Alfredo Bermudez
    2021-10-20
    34755 2680 pp. 271-287
  • Stability and Dispersion Analysis of the Staggered Discontinuous Galerkin Method for Wave Propagation

    Hiu Ning Chan, Eric T. Chung, Gary Cohen
    2018-08-15
    35127 4192 pp. 233-256
  • Convergence and Stability of the Semi-Implicit Euler Method with Variable Stepsize for a Linear Stochastic Pantograph Differential Equation

    Yu Xiao, Minghui Song, Mingzhu Liu
    2011-08-01
    33010 2659 pp. 214-225
  • Nonlinear Model Reduction Using Group Proper Orthogonal Decomposition

    B. T. Dickinson, J. R. Singler
    2010-07-01
    31570 2622 pp. 356-372
  • A New Finite Volume Method for the Stokes Problems

    Junping Wang, Yanqiu Wang, Xiu Ye
    2010-07-01
    31459 2651 pp. 281-302
  • Solution of a Singular Integral Equation by a Split-Interval Method

    T. Diogo, N. J. Ford, P. M. Lima, S. M. Thmas
    2007-04-01
    32213 3820 pp. 63-73
  • A Conforming Discontinuous Galerkin Finite Element Method: Part II

    Xiu Ye, Shangyou Zhang
    2020-02-03
    34199 2679 pp. 281-296
  • Mixed Finite Volume Method for Elliptic Problems on Non-Matching Multi-Block Triangular Grids

    Yanni Gao, Junliang Lv, Lanhui Zhang
    2017-06-01
    32509 45489 pp. 456-476
  • Improved Error Estimates of a Finite Difference/Spectral Method for Time-Fractional Diffusion Equations

    Chunwan Lv & Chuanju Xu
    2015-12-01
    35437 2724 pp. 384-400
  • 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
  • A Parameter-Uniform Finite Difference Method for Singularly Perturbed Linear Dynamical Systems

    S. Valarmathi, John J. H. Miller
    2010-07-01
    32748 2591 pp. 535-548
  • Superconvergence of Galerkin Solutions for Hammerstein Equations

    Q. Huang & H. Xie
    2009-06-01
    30465 2633 pp. 696-710
  • Efficient and Long-Time Accurate Second-Order Decoupled Method for the Blood Solute Dynamics Model

    Sabah Atrout, Md. Abdullah Al Mahbub, Chenyang Li, Haibiao Zheng
    2025-10-21
    DOI:10.4208/ijnam2026-1002
    5812 460 pp. 24-62
  • Approximate Solution of a Nonlinear Fractional-Order HIV Model Using Homotopy Analysis Method

     Parvaiz Ahmad Naik, Mohammad Ghoreishi, Jian Zu
    2022-03-22
    30312 3071 pp. 52-84
  • 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
    36812 2711 pp. 767-793
  • Weak Galerkin Finite Element Method for Second Order Parabolic Equations

    Hongqin Zhang, Yongkui Zou, Yingxiang Xu, Qilong Zhai, Hua Yue
    2016-07-03
    32562 2784 pp. 525-544
  • A Fast Second-Order Finite Difference Method for Space-Fractional Diffusion Equations

    T. S. Basu, H. Wang
    2012-08-06
    34846 2589 pp. 658-666
  • 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
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