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  • ​Pattern Formation in Rosenzweig–MacArthur Model with Prey–Taxis

    Yuanyuan Zhang, Li Xia
    2018-10-19
    36004 4246 pp. 97-115
  • Analysis of a Second-Order, Unconditionally Stable, Partitioned Method for the Evolutionary Stokes-Darcy Model

    Michaela Kubacki & Marina Moraiti
    2015-12-01
    34137 2680 pp. 704-730
  • Schemes and Estimates for the Long-Time Numerical Solution of Maxwell's Equations for Lorentz Metamaterials

    Jichun Li, Simon Shaw
    2015-12-01
    34073 2718 pp. 343-365
  • Stability of the Kinematically Coupled β-Scheme for Fluid-Structure Interaction Problems in Hemodynamics

    Suncica Canic, Boris Muha, Martina Bukac
    2015-12-01
    34354 4121 pp. 54-80
  • On a Nonlinear 4-Point Ternary and Interpolatory Multiresolution Scheme Eliminating the Gibbs Phenomenon

    S. Amat, K. Dadourian, J. Liandrat
    2010-07-01
    31341 2532 pp. 261-280
  • Construction of Boundary Layer Elements for Singularly Perturbed Convection-Diffusion Equations and $L^2$-Stability Analysis

    C.-Y. Jung & R. Temam
    2008-05-01
    31377 3379 pp. 729-748
  • The Weighted and Shifted Two-Step BDF Method for Allen-Cahn Equation on Variable Grids

    Minghua Chen, Fan Yu, Qingdong Zhang
    2025-05-26
    DOI:10.4208/ijnam2025-1029
    7969 669 pp. 671-693
  • An Energy-Dissipation Finite Element Pressure-Correction Scheme for the Hydrodynamics of Smectic-A Liquid Crystals

    Panpan Guo, Guang-An Zou, Min Zhang
    2025-05-26
    DOI:10.4208/ijnam2025-1028
    7945 535 pp. 637-670
  • A Finite Element Method for Anisotropic Crystal Growth on Surfaces

    Harald Garcke, Robert Nürnberg
    2025-05-26
    DOI:10.4208/ijnam2025-1027
    7969 570 pp. 614-636
  • An Unconditionally Energy-Stable SAV-DG Numerical Scheme for Tumor Growth Model

    Penghao Guo, Bo Wang, Guang-An Zou
    2025-04-29
    DOI:10.4208/ijnam2025-1022
    7199 614 pp. 510-533
  • Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential

    Amanda E. Diegel, Cheng Wang, Steven M. Wise
    2025-04-29
    DOI:10.4208/ijnam2025-1021
    7284 581 pp. 483-509
  • 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
  • Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model

    Farjana Siddiqua, Wenlong Pei
    2024-10-09
    DOI:10.4208/ijnam2024-1035
    14096 1124 pp. 879-909
  • Continuous/Discontinuous Finite Element Approximation of a 2d Navier-Stokes Problem Arising in Fluid Confinement

    Hermenegildo Borges De Oliveira, Nuno David Lopes
    2024-05-20
    DOI:10.4208/ijnam2024-1013
    21808 1703 pp. 315-352
  • Unconditionally Energy Stable and First-Order Accurate Numerical Schemes for the Heat Equation with Uncertain Temperature-Dependent Conductivity

    Joseph Anthony Fiordilino, Matthew Winger
    2023-11-13
    DOI:10.4208/ijnam2023-1035
    22462 1987 pp. 805-831
  • A Doubly Adaptive Penalty Method for the Navier Stokes Equations

    Kiera Kean, Xihui Xie, Shuxian Xu
    2023-03-30
    DOI:10.4208/ijnam2023-1017
    29927 2654 pp. 407-436
  • 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
  • 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
  • The Scott-Vogelius Method for the Stokes Problem on Anisotropic Meshes

    Kiera Kean, Michael Neilan, Michael Schneier
    2022-09-27
    43299 3039 pp. 157-174
  • 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
  • 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
  • The Arbitrary Lagrangian-Eulerian Finite Element Method for a Transient Stokes/Parabolic Interface Problem

    Ian Kesler, Rihui Lan, Pengtao Sun
    2021-03-25
    38709 2613 pp. 339-361
  • A Compact Finite Difference Scheme for the Fourth-Order Time Multi-Term Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions

    Guang-Hua Gao, Rui Tang, Qian Yang
    2021-02-04
    33736 3498 pp. 100-119
  • Modifying the Split-Step $θ$-Method with Harmonic-Mean Term for Stochastic Differential Equations

    Kazem Nouri, Hassan Ranjbar, Juan Carlos Cortés López
    2020-08-04
    36135 2716 pp. 662-678
  • Multilevel Finite Volume Methods for 2D Incompressible Navier-Stokes Equations

    J. K. Djoko, H. H. Gidey, B. D. Reddy
    2020-08-04
    33097 2759 pp. 485-516
  • Analysis of a Special Immersed Finite Volume Method for Elliptic Interface Problems

    Kai Liu, Qingsong Zou
    2019-08-09
    35227 2733 pp. 964-984
  • 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
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