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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

  6362 550 Pages:843-859

• A Convergence Analysis of Orthogonal Spline Collocation for Solving Two-Point Boundary Value Problems Without the Boundary Subintervals

  Bernard Bialecki, Ryan I. Fernandes

  2016-05-03

  31562 2669 Pages:383-402

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

  Kejia Pan, Hengrui Xu, Zhilin Li

  2026-03-11

  258 50 Pages:390–407

• 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

  297411 2848 Pages:603-629

• Approximate Solution of a Nonlinear Fractional-Order HIV Model Using Homotopy Analysis Method

   Parvaiz Ahmad Naik, Mohammad Ghoreishi, Jian Zu

  2022-03-22

  30308 3062 Pages:52-84

• Convergence Analysis of Yee-FDTD Schemes for 3D Maxwell's Equations in Linear Dispersive Media

  ​Puttha Sakkaplangkul, Vrushali A. Bokil

  2021-05-25

  41418 2689 Pages:524-568

• Using $p$-Refinement to Increase Boundary Derivative Convergence Rates

  David Wells, Jeffrey Banks

  2019-08-09

  34652 4206 Pages:891-924 Open-access

• Higher-Order Linearized Multistep Finite Difference Methods for Non-Fickian Delay Reaction-Diffusion Equations

  Qifeng Zhang, Ming Mei, Chengjian Zhang

  2016-01-08

  33113 4166 Pages:1-19

• Pollution-Free Finite Difference Schemes for Non-Homogeneous Helmholtz Equation

  K. Wang, Y. S. Wong

  2014-11-01

  33878 2746 Pages:787-815

• An Asymptotic Expansion-Based Deep Neural Network for Solving Singularly Perturbed Problems with Exponential Boundary Layers

  Shuiqian Xu, Jiangxing Wang, Yiduo Zhang, Xiaofeng Yang

  2025-12-28

  1214 215 Pages:163-183

• An Integral Equation Model for PET Imaging

  Xinhuang Tang, Charles Ross Schmidtlein, Si Li, Yuesheng Xu

  2021-11-05

  43379 2685 Pages:834-864

• Fitted Front Tracking Methods for Two-Phase Incompressible Navier–Stokes Flow: Eulerian and ALE Finite Element Discretizations

  Marco Agnese, Robert Nürnberg

  2020-08-04

  35811 2687 Pages:613-642

• Construction and Analysis of Weighted Sequential Splitting FDTD Methods for the 3D Maxwell's Equations

  Vrushali A. Bokil, Puttha Sakkaplangkul

  2018-08-15

  32543 2604 Pages:747-784

• An Efficient RVE-EMC Approach for Multiscale Equations of Random Heterogeneous Materials

  Yanfu Chen, Xixin Wu, Zihao Yang, Jieqiong Zhang, Junfeng Zhao

  2026-03-11

  256 52 Pages:374–389

• A Cell-Centered Finite Element Method with Imposed Flux Continuity and Streamline Upwind Technique for Advection-Diffusion Problems on General Meshes

  Ong Thanh Hai, Nguyen T. Hong Thai, Tran Thien Thanh

  2025-03-14

  8274 809 Pages:401-431

• An Immersed Crouzeix-Raviart Finite Element Method for Navier-Stokes Equations with Moving Interfaces

  Jin Wang, Xu Zhang, Qiao Zhuang

  2022-06-22

  38596 2682 Pages:563-586

• Adaptive Multigrid Method for Eigenvalue Problem

  Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma

  2022-03-22

  30052 3124 Pages:1-18

• Numerical Analysis of a Thermoelastic Diffusion Problem with Voids

  Jose R. Fernandez, Maria Masid

  2016-05-08

  31940 2668 Pages:153-174

• Convergence of Discontinuous Finite Volume Discretizations for a Semilinear Hyperbolic Optimal Control Problem

  Ruchi Sandilya, Sarvesh Kumar

  2016-11-08

  32478 2867 Pages:926-950

• On the Singularly Perturbed Semilinear Reaction-Diffusion Problem and its Numerical Solution

  Relja Vulanovic, Ljiljana Teofanov

  2018-08-15

  33441 4128 Pages:41-57

• An a Priori Error Analysis of Operator Upscaling for the Acoustic Wave Equation

  T. Vdovina, S. E. Minkoff

  2008-05-01

  31775 3426 Pages:543-569

• Analysis of the [$L^2$, $L^2$, $L^2$] Least-Squares Finite Element Method for Incompressible Oseen-Type Problems

  C. L. Chang & S.-Y. Yang

  2021-11-09

  31015 2413 Pages:402-424

• A Slope Limiting Procedure in Discontinuous Galerkin Finite Element Method for Gasdynamics Applications

  S. Tu, S. Aliabadi

  2005-02-01

  31604 2718 Pages:163-178

• Analysis of an Efficient Parameter Uniform Domain Decomposition Approach for Singularly Perturbed Gierer-Meinhardt Type Nonlinear Coupled Systems of Parabolic Problems

  Aakansha, Sunil Kumar, Pratibhamoy Das

  2025-04-29

  7252 584 Pages:459-482

• Numerical Analysis of Augmented FVM for Nonlinear Time Fractional Degenerate Parabolic Equation

  Muhammad Aamir Ali, Zhiyue Zhang, Jianqiang Xie

  2025-03-14

  8388 839 Pages:340-360

• Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model

  Farjana Siddiqua, Wenlong Pei

  2024-10-09

  14087 1116 Pages:879-909

• 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

  13997 1170 Pages:850-878