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  • Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid

    Jugal Mohapatra, Srinivasan Natesan
    2018-08-14
    40128 4346 Pages:1-22
  • Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model

    Jihong Xiao, Zimo Zhu, Xiaoping Xie
    2023-01-13
    33621 3238 Pages:79-110
  • Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Unsteady Natural Convection Problems

    Yihui Han, Hongliang Li, Xiaoping Xie
    2019-10-12
    45364 2606 Pages:1266-1308
  • A Numerical Method for Solving Matrix Coefficient Heat Equations with Interfaces

    Liqun Wang, Liwei Shi
    2015-08-01
    39293 2807 Pages:475-495
  • Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

    Jie Ding, Xiang Ji, Ziheng Xu
    2025-09-01
    5182 458 Pages:703-732
  • An Efficient Particle-Field Algorithm with Neural Interpolation Based on a Parabolic-Hyperbolic Chemotaxis System in 3D

    Jongwon David Kim, Jack Xin
    2026-04-16
    12 7
  • Fourier Convergence Analysis for a Fokker-Planck Equation of Tempered Fractional Langevin-Brownian Motion

    Maoping Wang, Weihua Deng
    2024-08-30
    17385 1413 Pages:751-776
  • Character Modelling with Sketches and ODE-Based Shape Creation

    Ouwen Li, Haibin Fu, Shaojun Bian, Xiaosong Yang, Xiaogang Jin, Andres Iglesias, Algirdas Noreika, Lihua You, Jian Jun Zhang
    2023-08-29
    33385 2542 Pages:720-751
  • Two-Phase Image Segmentation by the Allen-Cahn Equation and a Nonlocal Edge Detection Operator

    Zhonghua Qiao, Qian Zhang
    2023-01-21
    36713 2887 Pages:1147-1172
  • Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations

    Xin Huang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun
    2022-07-19
    42251 3276 Pages:565-591
  • Energy Identities and Stability Analysis of the Yee Scheme for 3D Maxwell Equations

    Liping Gao, Xiaorui Sang, Rengang Shi
    2020-03-16
    46082 2999 Pages:788-813
  • An Improved Hybrid Adjoint Method in External Aerodynamics Using Variational Technique for the Boundary Integral Based Optimal Objective Function Gradient

    Asma Farooqi, Riaz Ahmad, Zhenping Feng
    2020-03-16
    44061 2830 Pages:689-718
  • A High Order Operator Splitting Method for the Degasperis–Procesi Equation

    Yunrui Guo, Hong Zhang, Wenjing Yang, Ji Wang, Songhe Song
    2019-04-22
    43415 2736 Pages:884-905
  • An Implicit Scheme for Solving Unsteady Boltzmann Model Equation

    Xiaowei Li, Chunxin Li, Dan Zhang, Zhihui Li
    2018-12-17
    42818 2916 Pages:594-606
  • Numerical Methods for System Parabolic Variational Inequalities from Regime-Switching American Option Pricing

    Jie Xing, Jingtang Ma
    2018-12-17
    41699 2822 Pages:566-593
  • Numerical Investigations of a Class of Biological Models on Unbounded Domain

    Qiumei Huang, Dongfang Li, Jiwei Zhang
    2018-09-18
    41933 4647 Pages:169-186
  • A New Convergent Explicit Tree-Grid Method for HJB Equations in One Space Dimension

    Igor Kossaczký, Matthias Ehrhardt, Michael Günther
    2018-09-17
    52254 4816 Pages:1-29
  • A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations

    M. M. Butt, Y. Yuan
    2017-10-01
    38501 2624 Pages:639-655
  • Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems: Numerical Boundary Layers

    Benjamin Boutin, Jean-Francois Coulombel
    2017-10-01
    38782 2731 Pages:489-519
  • Numerical Approaches for Linear Left-Invariant Diffusions on $SE(2)$, Their Comparison to Exact Solutions, and Their Applications in Retinal Imaging

    Jiong Zhang, Remco Duits, Gonzalo Sanguinetti, Bart M. ter Haar Romeny
    2016-09-01
    38866 4327 Pages:1-50
  • Local Fourier Analysis for Edge-Based Discretizations on Triangular Grids

    Carmen Rodrigo, Francisco Sanz, Francisco J. Gaspar, Francisco J. Lisbona
    2015-08-01
    42098 4257 Pages:78-96
  • Local Fourier Analysis of Multigrid Methods with Polynomial Smoothers and Aggressive Coarsening

    James Brannick, Xiaozhe Hu, Carmen Rodrigo, Ludmil Zikatanov
    2015-08-01
    42470 4200 Pages:1-21
  • Computing Viscous Flow in an Elastic Tube

    Yi Li, Ioannis Sgouralis, Anita T. Layton
    2014-07-01
    39868 3625 Pages:555-574
  • Absorbing Boundary Conditions for Hyperbolic Systems

    Matthias Ehrhardt
    2010-03-01
    42049 3892 Pages:295-337
  • A Second-Order Method for the Electromagnetic Scattering from a Large Cavity

    Yingxi Wang, Kui Du, Weiwei Sun
    2008-01-01
    39716 3952 Pages:357-382
  • A Parameter-Uniform Finite Difference Method for a Coupled System of Convection-Diffusion Two-Point Boundary Value Problems

    Eugene O'Riordan, Jeanne Stynes, Martin Stynes
    2008-01-01
    38735 3517 Pages:176-197
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