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  • 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
    DOI:10.4208/ijnam2025-1037
    6366 561 pp. 843-859
  • Energy-Conservative Finite Difference Method for the Coupled Nonlinear Klein-Gordon Equation in the Nonrelativistic Limit Regime

    Ming Cui, Yanfei Li
    2025-02-20
    DOI:10.4208/ijnam2025-1012
    8873 664 pp. 246-267
  • 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
    30403 3243 pp. 85-100
  • A Finite-Difference Scheme for a Linear Multi-Term Fractional-in-Time Differential Equation with Concentrated Capacities

    Aleksandra Delić, Sandra Živanović, Zorica Milovanović Jeknić
    2021-03-24
    32061 2592 pp. 265-286
  • Numerical Analysis of an Energy-Conservation Scheme for Two-Dimensional Hamiltonian Wave Equations with Neumann Boundary Conditions

    Changying Liu, Wei Shi, Xinyuan Wu
    2019-02-22
    35899 2766 pp. 319-339
  • Convergence of a Finite Difference Scheme for 3D Flow of a Compressible Viscous Micropolar Heat-Conducting Fluid with Spherical Symmetry

    Nermina Mujakovic, Nelida Crnjaric-Zic
    2016-09-03
    33733 2819 pp. 705-738
  • On the Comparison of Properties of Rayleigh Waves in Elastic and Viscoelastic Media

    Yangyang He, Jinghuai Gao, Zhangxin Chen
    2015-12-01
    35195 2727 pp. 254-267
  • Parameter-Uniform Convergence for a Finite Difference Method for a Singularly Perturbed Linear Reaction-Diffusion System with Discontinuous Source Terms

    M. paramasivam, J. J. H. Miller, S. Valarmathi
    2021-10-20
    34245 2581 pp. 385-399
  • Grid Approximation of a Singularly Perturbed Parabolic Equation with Degenerating Convective Term and Discontinuous Right-Hand Side

    C. Clavero, J. L. Gracia, G. I. Shishkin, L. P. Shishkina
    2013-10-01
    33927 2719 pp. 795-814
  • 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
  • A Fast Second-Order Finite Difference Method for Space-Fractional Diffusion Equations

    T. S. Basu, H. Wang
    2012-08-06
    34846 2589 pp. 658-666
  • A Parameter-Uniform Finite Difference Method for Singularly Perturbed Linear Dynamical Systems

    S. Valarmathi, John J. H. Miller
    2010-07-01
    32748 2591 pp. 535-548
  • ADI Finite Difference Schemes for Option Pricing in the Heston Model with Correlation

    K. J. In't Hout, S. Foulon
    2010-07-01
    35277 2890 pp. 303-320
  • Numerical Methods for Unsaturated Flow with Dynamic Capillary Pressure in Heterogeneous Porous Media

    M. Peszynska, S.-Y. Yi
    2018-07-09
    30986 2648 pp. 126-149
  • Stability-Preserving Finite-Difference Methods for General Multi-Dimensional Autonomous Dynamical Systems

    Dobromir T. Dimitrov, Hristo V. Kojouharov
    2007-04-01
    29724 2534 pp. 280-290
  • A Direct Method for Solving Three-Dimensional Elliptic Interface Problems

    Kumudu Gamage, Yan Peng, Zhilin Li
    2024-05-20
    DOI:10.4208/ijnam2024-1014
    21256 1641 pp. 353-374
  • Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics

    Pelin G. Geredeli, Carson Givens, Ahmed Zytoon
    2023-03-30
    DOI:10.4208/ijnam2023-1013
    29644 2599 pp. 329-352
  • A Benchmark Calculation of 3D Horizontal Well Simulations

    Zhangxin Chen, Guanren Huan, Baoyan Li
    2004-01-01
    29939 2548 pp. 189-202
  • Cell Centered Finite Volume Methods Using Taylor Series Expansion Scheme Without Fictitious Domains

    G.-M. Gie, R. Temam
    2018-08-15
    32165 3821 pp. 1-29
  • Numerical Method for Three-Point Vector Difference Schemes on Infinite Interval

    A. I. Zadorin, A. V. Chekanov
    2008-05-01
    31883 2553 pp. 190-205
  • 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
  • Stability and Superconvergence of a Special $Q_1$-Finite Volume Element Scheme over Quadrilateral Meshes

    Yanhui Zhou
    2025-04-29
    DOI:10.4208/ijnam2025-1024
    7115 552 pp. 556-584
  • 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
    297415 2852 pp. 603-629
  • Analysis of Harmonic Average Method for Interface Problems with Discontinuous Solutions and Fluxes

    Kejia Pan, Hengrui Xu, Zhilin Li
    2026-03-11
    DOI:10.4208/ijnam2026-1016
    279 59 pp. 390–407
  • On Discontinuous Finite Volume Approximations for Semilinear Parabolic Optimal Control Problems

    Ruchi Sandilya, Sarvesh Kumar
    2016-07-03
    32526 2756 pp. 545-568
  • Convergence of a Cell-Centered Finite Volume Method and Application to Elliptic Equations

    Gung-Min Gie, Roger Temam
    2015-12-01
    33015 2728 pp. 536-566
  • Expanded Mixed Finite Element Domain Decomposition Methods on Triangular Grids

    A. Arraras sand L. Portero
    2021-10-20
    34393 2724 pp. 255-270
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