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  • The Navier-Stokes-$\omega$/Navier-Stokes-$\omega$ Model for Fluid-Fluid Interaction Using an Unconditionally Stable Finite Element Scheme

    Qinghui Wang, Pengzhan Huang, Yinnian He
    2025-02-20
    DOI:10.4208/ijnam2025-1009
    8735 676 pp. 178-201
  • A Finite Volume Method Preserving the Invariant Region Property for the Quasimonotone Reaction-Diffusion Systems

    Huifang Zhou, Yuchun Sun, Fuchang Huo
    2024-10-09
    DOI:10.4208/ijnam2024-1036
    13646 1105 pp. 910-932
  • Parametric Model Reduction with Convolutional Neural Networks

    Yumeng Wang, Shiping Zhou, Yanzhi Zhang
    2024-10-08
    DOI:10.4208/ijnam2024-1029
    13185 1149 pp. 716-738
  • Two Decoupled and Linearized Block-Centered Finite Difference Methods for the Nonlinear Symmetric Regularized Long Wave Equation

    Jie Xu, Shusen Xie, Hongfei Fu
    2024-04-07
    DOI:10.4208/ijnam2024-1010
    21001 1753 pp. 244-267
  • Numerical Analysis of a Mixed Finite Element Approximation of a Coupled System Modeling Biofilm Growth in Porous Media with Simulations

    Azhar Alhammali, Malgorzata Peszynska, Choah Shin
    2024-01-03
    DOI:10.4208/ijnam2024-1002
    26506 2526 pp. 20-64
  • A Posteriori Error Analysis for an Ultra-Weak Discontinuous Galerkin Approximations of Nonlinear Second-Order Two-Point Boundary-Value Problems

    Mahboub Baccouch
    2023-09-19
    DOI:10.4208/ijnam2023-1027
    24631 2155 pp. 618-646
  • Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions

    Amanda E. Diegel, Natasha S. Sharma
    2023-05-22
    DOI:10.4208/ijnam2023-1019
    29626 2571 pp. 459-477
  • A Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Variable Mobility

    Xiaochun Chen, Cheng Wang, Steven M. Wise
    2022-09-27
    37569 2775 pp. 839-863
  • 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
  • Analysis of a Second-Order Decoupled Time-Stepping Scheme for Transient Viscoelastic Flow

    S. S. Ravindran
    2021-02-04
    35471 4234 pp. 87-109
  • Convergence Analysis of Finite Element Approximation for 3-D Magneto-Heating Coupling Model

    Lixiu Wang, Changhui Yao, Zhimin Zhang
    2021-02-04
    56844 4667 pp. 1-23
  • Nonstandard Finite Difference Method for Nonlinear Riesz Space Fractional Reaction-Diffusion Equation

    Li Cai, Meifang Guo, Yiqiang Li, Wenjun Ying, Hao Gao, Xiaoyu Luo
    2019-08-09
    37989 2754 pp. 925-938
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for the Two-Dimensional Sine-Gordon Equation on Cartesian Grids

    Mahboub Baccouch
    2018-11-22
    33438 2797 pp. 436-462
  • Output Feedback Control of Flow Separation over an Aerofoil Using Plasma Actuators

    R. Broglia, K.-S. Choi, P. Houston, L. Pasquale, P. Zanchetta
    2018-08-15
    33498 3897 pp. 864-883 Open Access
  • An Effective Minimization Protocol for Solving a Size-Modified Poisson-Boltzmann Equation for Biomolecule in Ionic Solvent

    Jiao Li, Dexuan Xie
    2015-12-01
    35087 2795 pp. 286-301
  • Two-Grid $hp$-Version Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows

    S. Congreve & P. Houston
    2014-11-01
    33107 2631 pp. 496-524
  • A Numerical Algorithm for Set-Point Regulation of Non-Linear Parabolic Control Systems

    Eugenio Aulisa, David Gilliam
    2021-10-20
    33106 3830 pp. 54-85
  • A Priori Error Estimates for Semi-Discrete Discontinuous Galerkin Methods Solving Nonlinear Hamilton-Jacobi Equations with Smooth Solutions

    Tao Xiong, Chi-Wang Shu, Mengping Zhang
    2018-08-15
    35064 4049 pp. 154-177
  • Convergence and Complexity of Adaptive Finite Element Methods for Elliptic Partial Differential Equations

    Lianhua He, Aihui Zhou
    2011-08-01
    32073 2664 pp. 615-640
  • Numerical Identification of Magnetic Permeability

    H. Feng, D. Jiang & J. Zou
    2010-07-01
    31105 2599 pp. 217-239
  • A Three-Stage Operator-Splitting/Finite Element Method for the Numerical Simulation of Liquid Crystal Flow

    R. Glowinski, P. Lin, X.-B. Pan
    2009-08-07
    31275 2452 pp. 440-454
  • Image Zooming Algorithm Based on Partial Differential Equations Technique

    R. Gao, J.-P. Song, X.-C. Tai
    2009-06-01
    31052 2635 pp. 284-292
  • Galerkin Characteristics Method for Convection-Diffusion Problems with Memory Terms

    J. Kacur, M. S. Mahmood
    2009-06-01
    31660 3680 pp. 89-109
  • Algorithms for Coupled Mechanical Deformations and Fluid Flow in a Porous Medium with Different Time Scales

    F.-Z. Daïm, D. Hilhorst, J. Laminie, R. Eymard
    2008-05-01
    31744 3333 pp. 635-658
  • A Uniformly Convergent Method on Arbitrary Meshes for a Semilinear Convection-Diffusion Problem with Discontinuous Data

    Igor Boglaev, Sophie Pack
    2008-05-01
    32612 3674 pp. 24-39
  • Speed Windsurfing: Modeling and Numerics

    A. Kunoth, M. Schlichtenmayer, C. Schneider
    2021-11-09
    30929 2416 pp. 548-558
  • 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
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