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  • Fully Diagonalized Chebyshev Spectral Methods for Second and Fourth Order Elliptic Boundary Value Problems

    Jing-Min Li, Zhong-Qing Wang, Huiyuan Li
    2018-08-14
    31883 3788 pp. 243-259
  • 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
  • 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
  • DNS of Forced Mixing Layer

    M. J. Maghrebi, A. Zarghami
    2018-08-15
    31711 3913 pp. 173-193
  • An a Priori Error Analysis of Operator Upscaling for the Acoustic Wave Equation

    T. Vdovina, S. E. Minkoff
    2008-05-01
    31777 3428 pp. 543-569
  • 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 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 Diffuse Domain Approximation with Transmission-Type Boundary Conditions I: Asymptotic Analysis and Numerics

    Toai Luong, Tadele Mengesha, Steven M. Wise, Ming Hei Wong
    2025-05-26
    DOI:10.4208/ijnam2025-1030
    8032 528 pp. 694-727
  • A Cell-Centered Finite Element Method with Imposed Flux Continuity and Streamline Upwind Technique for Advection-Diffusion Problems on General Meshes

    Ong Thanh Hai, Nguyen T. Hong Thai, Tran Thien Thanh
    2025-03-14
    DOI:10.4208/ijnam2025-1018
    8283 819 pp. 401-431
  • 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
  • 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
  • Convergence Analysis of Yee-FDTD Schemes for 3D Maxwell's Equations in Linear Dispersive Media

    ​Puttha Sakkaplangkul, Vrushali A. Bokil
    2021-05-25
    41422 2696 pp. 524-568
  • A Positivity-Preserving and Convergent Numerical Scheme for the Binary Fluid-Surfactant System

    Yuzhe Qin, Cheng Wang, Zhengru Zhang
    2021-03-25
    38592 2624 pp. 399-425
  • A Stabilizer Free Weak Galerkin Finite Element Method for General Second-Order Elliptic Problem

    Ahmed Al-Taweel, Saqib Hussain, Runchang Lin, Peng Zhu
    2021-03-25
    38761 2629 pp. 311-323
  • 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
  • Using $p$-Refinement to Increase Boundary Derivative Convergence Rates

    David Wells, Jeffrey Banks
    2019-08-09
    34657 4211 pp. 891-924 Open Access
  • A New Collocation Method for Solving Certain Hadamard Finite-Part Integral Equation

    Hui Feng, Yan Gao, Lili Ju, Xiaoping Zhang
    2019-02-22
    35990 2729 pp. 240-254
  • The Singularity-Separated Method for the Singular Perturbation Problems in 1-D

    Chuanmiao Chen, Jing Yang
    2018-08-14
    33480 3931 pp. 102-110
  • On Discontinuous Finite Volume Approximations for Semilinear Parabolic Optimal Control Problems

    Ruchi Sandilya, Sarvesh Kumar
    2016-07-03
    32526 2756 pp. 545-568
  • On the Singularly Perturbed Semilinear Reaction-Diffusion Problem and its Numerical Solution

    Relja Vulanovic, Ljiljana Teofanov
    2018-08-15
    33447 4139 pp. 41-57
  • Fast Optimal $\mathcal{H}_2$ Model Reduction Algorithms Based on Grassmann Manifold Optimization

    Y. Xu & T. Zeng
    2013-10-01
    267 103 pp. 972-991
  • A Buffered Fourier Spectral Method for Non-periodic PDE

    Huankun Fu, Chaoqun Liu
    2012-09-01
    32198 2441 pp. 460-478
  • Urgency Versus Accuracy: Dynamics Data Driven Application System for Natural Hazard Management

    A. Cencerrado, R. Rodríguez, A. Cortes, T. Margalef
    2012-09-01
    31822 2394 pp. 432-448
  • Two-Grid Algorithms for an Ordinary Second Order Equation with an Exponential Boundary Layer in the Solution

    L. G. Vulkov, A. I. Zadorin
    2010-07-01
    33004 2543 pp. 580-592
  • A Uniform Numerical Method for a Boundary-Shock Problem

    R. Vulanović
    2010-07-01
    32954 2592 pp. 567-579
  • A Robust Overlapping Schwarz Method for a Singularly Perturbed Semilinear Reaction-Diffusion Problem with Multiple Solutions

    N. Kopteva, M. Pickett & H. Purtill
    2009-06-01
    30590 2536 pp. 680-695
  • An Improved Explicit Scheme for Age-Dependent Population Models with Spatial Diffusion

    Galena Pelovska
    2008-05-01
    31167 3370 pp. 466-490
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