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International Journal of Numerical Analysis and Modeling
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  • 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
    30201 3143 Pages:85-100
  • Energy and Enstrophy Study of the Time Relaxation Model

    Tahj Hill, Monika Neda, Eric Olson, Faranak Pahlevani
    2021-03-24
    31315 2527 Pages:165-189
  • Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods

    Philipp Öffner, Jan Glaubitz, Hendrik Ranocha
    2020-05-20
    34749 2671 Pages:332-349
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for the Two-Dimensional Sine-Gordon Equation on Cartesian Grids

    Mahboub Baccouch
    2018-11-22
    33245 2749 Pages:436-462
  • A Discontinuous Ritz Method for a Class of Calculus of Variations Problems

    Xiaobing Feng, Stefan Schnake
    2019-02-22
    37530 3915 Pages:340-356 Open-access
  • Unconditionally Stable Time Splitting Methods for the Electrostatic Analysis of Solvated Biomolecules

    L. Wilson & S. Zhao
    2016-11-08
    32381 2766 Pages:852-878
  • Convergence of Adaptive FEM for Some Elliptic Obstacle Problem with Inhomogeneous Dirichlet Data

    M. Feischl, M. Page & D. Praetorius
    2021-10-20
    33180 3764 Pages:229-253
  • An Analysis of the Shock Strength Needed to Achieve Defibrillation in a Simplified Mathematical Model of Cardiac Tissue

    A. Tveito, G. Lines, M. Rognes & M. Maleckar
    2012-08-06
    34650 2563 Pages:644-657
  • A Diffuse Domain Approximation with Transmission-Type Boundary Conditions II: Gamma-Convergence

    Toai Luong, Tadele Mengesha, Steven M. Wise, Ming Hei Wong
    2025-05-26
    7694 441 Pages:728-744
  • The Weighted and Shifted Two-Step BDF Method for Allen-Cahn Equation on Variable Grids

    Minghua Chen, Fan Yu, Qingdong Zhang
    2025-05-26
    7681 550 Pages:671-693
  • A Finite Element Method for Anisotropic Crystal Growth on Surfaces

    Harald Garcke, Robert Nürnberg
    2025-05-26
    7714 474 Pages:614-636
  • Degenerate Area Preserving Surface Allen-Cahn Equation and Its Sharp Interface Limit

    Michal Beneš, Miroslav Kolář, Jan Magnus Sischka, Axel Voigt
    2025-05-26
    7658 472 Pages:603-613
  • Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model

    Farjana Siddiqua, Wenlong Pei
    2024-10-09
    13886 1041 Pages:879-909
  • 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
    22256 1917 Pages:805-831
  • Improved Long Time Accuracy for Projection Methods for Navier-Stokes Equations Using EMAC Formulation

    Sean Ingimarson, Monika Neda, Leo G. Rebholz, Jorge Reyes, An Vu
    2023-01-14
    29034 2544 Pages:176-198
  • Clipping over Dissipation in Turbulence Models

    Kiera Kean, William Layton, Michael Schneier
    2022-09-27
    40691 2846 Pages:424-438
  • Structure-Preserving Numerical Methods for a Class of Stochastic Poisson Systems

    Yuchao Wang, Lijin Wang, Yanzhao Cao
    2022-09-27
    41785 2944 Pages:194-219
  • Finite Volume Element Method for Predicting Electrostatics of a Biomolecule Immersed in an Ionic Solvent

    Hao Wu, Jinyong Ying, Qingsong Zou
    2021-03-24
    32498 2600 Pages:190-202
  • Analysis of a Fully Discrete Finite Element Method for the Maxwell–Schrödinger System in the Coulomb Gauge

    Chupeng Ma, Liqun Cao, Jizu Huang
    2018-10-19
    34570 3915 Pages:139-166
  • ​A Space-Time Parallel Method for the Optic Flow Estimation in Large Displacements and Varying Illumination Case

    Diane Gilliocq-Hirtz, Zakaria Belhachmi
    2018-10-19
    34940 4133 Pages:116-138
  • Weak Solutions Constructed by Semi-Discretization are Suitable: The Case of Slip Boundary Conditions

    Luigi C. Berselli
    2018-08-15
    33181 3567 Pages:479-491 Open-access
  • An $L^∞$ Bound for the Cahn-Hilliard Equation with Relaxed Non-Smooth Free Energy

    C. Kahle
    2016-05-08
    31796 2640 Pages:243-254
  • A Total Variation Discontinuous Galerkin Approach for Image Restoration

    Benjamin Stamm & Thomas P. Wihler
    2015-12-01
    33606 3994 Pages:81-93
  • Convergence of Discontinuous Time-Stepping Schemes for a Robin Boundary Control Problem Under Minimal Regularity Assumptions

    K. Chrysafinos
    2013-10-01
    32684 2563 Pages:673-696
  • The Arakawa Jacobian Method and a Fourth-Order Essentially Nonoscillatory Scheme for the Beta-Plane Barotropic Equations

    A. Kacimi, T. Aliziane & B. Khouider
    2013-10-01
    33898 2654 Pages:571-587
  • Unconditional Convergence of High-Order Extrapolations of the Crank-Nicolson, Finite Element Method for the Navier-Stokes Equations

    R. Ingram
    2013-10-01
    37812 2683 Pages:257-297
  • Discontinuous Galerkin Method for Monotone Nonlinear Elliptic Problems

    C. Bi & Y. Lin
    2012-09-01
    32725 2572 Pages:999-1024
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