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  • The Multiscale Discontinuous Galerkin Method for Solving a Class of Second Order Elliptic Problems with Rough Coefficients

    W. Wang, J. Guzmán, C.-W. Shu
    2018-08-15
    33274 3908 pp. 28-47
  • An Unconditionally Stable Second Order Method for the Luo-Rudy 1 Model Used in Simulations of Defibrillation

    Monica Hanslien, Robert Artebrant, Joakim Sundnes, Aslak Tveito
    2009-06-01
    30581 2492 pp. 627-641
  • Quintic Spline Solutions of Fourth Order Boundary-Value Problems

    S. S. Siddiqi, G. Akram
    2008-05-01
    31744 3794 pp. 101-111
  • Interval-Based Reduced-Order Models for Unsteady Fluid Flow

    Jeff Borggaard, Alexander Hay, Dominique Pelletier
    2021-11-09
    31420 2351 pp. 353-367
  • A High-Order Mixed Finite Element Method for Second Order Elliptic Equations on Curved Domain with Boundary Value Corrections

    Yongli Hou, Yi Liu, Tengjin Zhao
    2026-03-11
    DOI:10.4208/ijnam2026-1019
    266 74 pp. 442–459
  • A Third Order Linearized BDF Scheme for Maxwell's Equations with Nonlinear Conductivity Using Finite Element Method

    Changhui Yao, Yanping Lin, Cheng Wang, Yanli Kou
    2018-09-18
    32570 2631 pp. 511-531
  • A Locking-Free Reduced-Order Model for Solving the Elastic Wave Equation

    Lu Wang, Youcai Xu, Minfu Feng
    2025-03-14
    DOI:10.4208/ijnam2025-1014
    8398 864 pp. 307-339
  • Numerical Studies for an Interface Problem Involving Fourth- and Second-Order Poisson-Fermi Electrostatic Equations

    Mengjie Liu, Mingyan He, Pengtao Sun
    2025-02-20
    DOI:10.4208/ijnam2025-1011
    8696 628 pp. 226-245
  • An Efficient Rotational Pressure-Correction Scheme for the 2D/3D Navier-Stokes/Darcy Coupling Problem

    Minting Zhao, Jiawei Gao, Md. Abdullah AL Mahbub, Dan Chen
    2024-10-09
    DOI:10.4208/ijnam2024-1034
    14003 1176 pp. 850-878
  • 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
  • Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

    Maninder Sarai, Dong Liang
    2021-02-04
    33217 3442 pp. 79-99
  • A Systematic Method to Construct Mimetic Finite-Difference Schemes for Incompressible Flows

    Chiara Sorgentone, Bernardo Favini
    2017-06-01
    32212 2727 pp. 419-436
  • Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations with Singular Initial Data

    Li Guo, Yang Yang
    2017-06-01
    31954 2859 pp. 342-354
  • Second-Order Total Variation and Primal-Dual Algorithm for CT Image Reconstruction

    Shousheng Luo, Qian Lv, Heshan Chen, Jinping Song
    2016-01-08
    33306 4302 pp. 76-87
  • High-Order Energy Stable Numerical Schemes for a Nonlinear Variational Wave Equation Modeling Nematic Liquid Crystals in Two Dimensions

    Peder Aursand, Ujjwal Koley
    2016-01-08
    33368 4549 pp. 20-47
  • Conservative Methods for Stochastic Differential Equations with a Conserved Quantity

    Chuchu Chen, David Cohen, Jialin Hong
    2016-05-03
    32109 2745 pp. 435-456
  • 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
  • Fast Solvers for the Symmetric IPDG Discretization of Second Order Elliptic Problems

    Liuqiang Zhong, Eric T. Chung, Chunmei Liu
    2015-12-01
    33436 2791 pp. 455-475
  • Variational Multiscale a Posteriori Error Estimation for 2nd and 4th-Order ODEs

    Diego Irisarri, Guillermo Hauke
    2015-12-01
    32420 2707 pp. 430-454
  • Second Order Decoupled Implicit/Explicit Method of the Primitive Equations of the Ocean I: Time Discretization

    Yinnian He
    2015-12-01
    33530 4138 pp. 1-30
  • Pollution-Free Finite Difference Schemes for Non-Homogeneous Helmholtz Equation

    K. Wang, Y. S. Wong
    2014-11-01
    33882 2752 pp. 787-815
  • Symplectic Schemes for Stochastic Hamiltonian Systems Preserving Hamiltonian Functions

    C. A. Anton, Y. S. Wong, J. Deng
    2014-11-01
    33215 2716 pp. 427-451
  • On Compact High Order Finite Difference Schemes for Linear Schrödinger Problem on Non-Uniform Meshes

    Mindaugas Radziunas, Raimondas Ciegis, Aleksas Mirinavicius
    2021-10-20
    34214 2690 pp. 303-314
  • Numerical Analysis of the Fractional Seventh-Order KdV Equation Using an Implicit Fully Discrete Local Discontinuous Galerkin Method

    L. Wei, Y. He, Y. Zhang
    2013-10-01
    32688 2627 pp. 430-444
  • Unconditional Convergence of High-Order Extrapolations of the Crank-Nicolson, Finite Element Method for the Navier-Stokes Equations

    R. Ingram
    2013-10-01
    37974 2736 pp. 257-297
  • Second Order Parameter-Uniform Convergence for a Finite Difference Method for a Singularly Perturbed Linear Parabolic System

    V. Franklin, M. Paramasivam, J. J. H. Miller, S. Valarmathi
    2018-08-15
    35781 4186 pp. 178-202
  • Error Estimates for the Second Order Semi-Discrete Stabilized Gauge-Uzawa Method for the Navier-Stokes Equations

    J.-H. Pyo
    2018-08-15
    36244 4058 pp. 24-41
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