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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

  6365 560 Pages: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

  8872 662 Pages: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

  30402 3236 Pages: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

  32059 2590 Pages: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

  35897 2764 Pages: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

  33732 2819 Pages: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 2725 Pages: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

  34244 2581 Pages: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

  33926 2718 Pages: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

  35779 4184 Pages:178-202

• A Fast Second-Order Finite Difference Method for Space-Fractional Diffusion Equations

  T. S. Basu, H. Wang

  2012-08-06

  34843 2587 Pages:658-666

• A Parameter-Uniform Finite Difference Method for Singularly Perturbed Linear Dynamical Systems

  S. Valarmathi, John J. H. Miller

  2010-07-01

  32747 2590 Pages: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

  35276 2889 Pages:303-320

• Numerical Methods for Unsaturated Flow with Dynamic Capillary Pressure in Heterogeneous Porous Media

  M. Peszynska, S.-Y. Yi

  2018-07-09

  30985 2647 Pages:126-149

• Stability-Preserving Finite-Difference Methods for General Multi-Dimensional Autonomous Dynamical Systems

  Dobromir T. Dimitrov, Hristo V. Kojouharov

  2007-04-01

  29723 2533 Pages:280-290

• A Direct Method for Solving Three-Dimensional Elliptic Interface Problems

  Kumudu Gamage, Yan Peng, Zhilin Li

  2024-05-20

  21252 1640 Pages:353-374

• Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics

  Pelin G. Geredeli, Carson Givens, Ahmed Zytoon

  2023-03-30

  29644 2599 Pages:329-352

• A Benchmark Calculation of 3D Horizontal Well Simulations

  Zhangxin Chen, Guanren Huan, Baoyan Li

  2004-01-01

  29939 2544 Pages:189-202

• Cell Centered Finite Volume Methods Using Taylor Series Expansion Scheme Without Fictitious Domains

  G.-M. Gie, R. Temam

  2018-08-15

  32164 3818 Pages:1-29

• Numerical Method for Three-Point Vector Difference Schemes on Infinite Interval

  A. I. Zadorin, A. V. Chekanov

  2008-05-01

  31881 2552 Pages: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 Pages:79-99

• Stability and Superconvergence of a Special $Q_1$-Finite Volume Element Scheme over Quadrilateral Meshes

  Yanhui Zhou

  2025-04-29

  7115 552 Pages: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

  297414 2851 Pages:603-629

• Analysis of Harmonic Average Method for Interface Problems with Discontinuous Solutions and Fluxes

  Kejia Pan, Hengrui Xu, Zhilin Li

  2026-03-11

  270 56 Pages:390–407

• On Discontinuous Finite Volume Approximations for Semilinear Parabolic Optimal Control Problems

  Ruchi Sandilya, Sarvesh Kumar

  2016-07-03

  32526 2755 Pages:545-568

• Convergence of a Cell-Centered Finite Volume Method and Application to Elliptic Equations

  Gung-Min Gie, Roger Temam

  2015-12-01

  33015 2727 Pages:536-566

• Expanded Mixed Finite Element Domain Decomposition Methods on Triangular Grids

  A. Arraras sand L. Portero

  2021-10-20

  34391 2723 Pages:255-270