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  • 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
    32402 2581 Pages:511-531
  • 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
    35591 4104 Pages:178-202
  • An $H^1$-Galerkin Mixed Method for Second Order Hyperbolic Equations

    A. K. Pani, R. K. Sinha, A. K. Otta
    2004-01-01
    29745 2496 Pages:111-130
  • A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations

    Max Gunzburger, Nan Jiang, Michael Schneier
    2018-08-15
    32856 2472 Pages:608-627
  • An Unconditionally Stable Second Order Method for the Luo-Rudy 1 Model Used in Simulations of Defibrillation

    M. Hanslien, R. Artebrant, J. Sundnes & A. Tveito
    2009-06-01
    30436 2438 Pages:627-641
  • Error Analysis of a Finite Difference Scheme for the Epitaxial Thin Film Model with Slope Selection with an Improved Convergence Constant

    Z.-H. Qiao, C. Wang, S. M. Wise & Z.-R. Zhang
    2016-05-08
    32059 2662 Pages:283-305
  • Convergence of Rothe Scheme for Hemivariational Inequalities of Parabolic Type

    P. Kalita
    2013-10-01
    32292 2642 Pages:445-465
  • Numerical Analysis of the Finite Difference Time Domain Methods with High Accuracy in Time for Maxwell Equations

    Liping Gao, Xiaosong Zhang, Rengang Shi
    2025-08-04
    5903 453 Pages:843-859
  • Mixed Virtual Element Method for Linear Parabolic Integro-Differential Equations

    Meghana Suthar, Sangita Yadav
    2024-06-24
    19899 1436 Pages:504-527
  • Optimal Uniform Convergence Analysis for a Two-Dimensional Parabolic Problem with Two Small Parameters

    Jichun Li
    2005-04-03
    32500 3739 Pages:107-126
  • Monolithic and Partitioned Finite Element Schemes for FSI Based on an ALE Divergence-Free HDG Fluid Solver and a TDNNS Structural Solver

    Guosheng Fu
    2023-01-14
    28189 2568 Pages:267-312
  • Asymptotically Exact a Posteriori Error Estimates for the Local Discontinuous Galerkin Method for Nonlinear KdV Equations in One Space Dimension

    Mahboub Baccouch
    2020-10-27
    36577 2664 Pages:767-793
  • Numerical Studies for an Interface Problem Involving Fourth- and Second-Order Poisson-Fermi Electrostatic Equations

    Mengjie Liu, Mingyan He, Pengtao Sun
    2025-02-20
    8463 540 Pages: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
    13772 1079 Pages:850-878
  • High-Order Energy Stable Numerical Schemes for a Nonlinear Variational Wave Equation Modeling Nematic Liquid Crystals in Two Dimensions

    P. Aursand & U. Koley
    2016-01-08
    33177 4422 Pages:20-47
  • Variational Multiscale a Posteriori Error Estimation for 2nd and 4th-Order ODEs

    Diego Irisarri & Guillermo Hauke
    2015-12-01
    32248 2661 Pages:430-454
  • 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
    32531 2573 Pages:430-444
  • An Optimal-Order Error Estimate for a Finite Difference Method to Transient Degenerate Advection-Diffusion Equations

    T. Lu & J. Jia
    2012-09-01
    32736 3740 Pages:56-72
  • Second Order Uniform Approximations for the Solution of Time Dependent Singularly Perturbed Reaction-Diffusion Systems

    C. Clavero, J. L. Gracia & F. Lisbona
    2010-07-01
    32836 2523 Pages:428-443
  • Finite Volume Element Method for Second Order Hyperbolic Equations

    S. Kumar, N. Nataraj & A. K. Pani
    2008-05-01
    32514 3834 Pages:132-151
  • 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
    297227 2787 Pages: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
    41199 2617 Pages:524-568
  • Convergence Analysis of Finite Element Approximation for 3-D Magneto-Heating Coupling Model

    Lixiu Wang, Changhui Yao, Zhimin Zhang
    2021-02-04
    56655 4565 Pages:1-23
  • Using $p$-Refinement to Increase Boundary Derivative Convergence Rates

    David Wells, Jeffrey Banks
    2019-08-09
    34473 4021 Pages:891-924 Open-access
  • Strong Convergence and Stability of the Semi-Tamed and Tamed Euler Schemes for Stochastic Differential Equations with Jumps under Non-Global Lipschitz Condition

    Antoine Tambue, Jean Daniel Mukam
    2019-08-09
    34940 4033 Pages:847-872 Open-access
  • Finite Difference Schemes for the Korteweg-de Vries-Kawahara Equation

    U. Koley
    2016-05-03
    32026 2580 Pages:344-367
  • 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
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