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  • Effects of Integrations and Adaptivity for the Eulerian-Lagrangian Method

    Jiwei Jia, Xiaozhe Hu, Jinchao Xu & Chen-Song Zhang
    2018-08-22
    33811 3498 Pages:367-395
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations

    Hongjuan Zhang, Xiong Meng, Dazhi Zhang, Boying Wu
    2024-11-18
    11319 1121 Pages:63-88
  • Error Analysis for a Fast Numerical Method to a Boundary Integral Equation of the First Kind

    Jingtang Ma & Tao Tang
    2018-08-15
    32684 3883 Pages:56-68
  • Improved Entropy-Ultra-Bee Scheme for the Euler System of Gas Dynamics

    Rongsan Chen, Dekang Mao
    2018-08-22
    36824 2807 Pages:121-151
  • Superconvergence of DG Method for One-Dimensional Singularly Perturbed Problems

    Ziqing Xie & Zhimin Zhang
    2007-04-02
    34281 3620 Pages:185-200
  • Fixed-Point Continuation Applied to Compressed Sensing: Implementation and Numerical Experiments

    Elaine T. Hale, Wotao Yin, Yin Zhang
    2018-08-22
    41024 3512 Pages:170-194
  • High Accuracy Numerical Method of Thin-Film Problems in Micromagnetics

    Zhongyi Huang
    2003-02-02
    33822 3677 Pages:33-40
  • Exponential Time Differencing-Padé Finite Element Method for Nonlinear Convection-Diffusion-Reaction Equations with Time Constant Delay

    Haishen Dai, Qiumei Huang, Cheng Wang
    2023-04-25
    31260 2802 Pages:370-394
  • On Discrete Projection and Numerical Boundary Conditions for the Numerical Solution of the Unsteady Incompressible Navier-Stokes Equations

    Lan Chieh Huang
    2002-02-02
    32753 3808 Pages:35-56
  • Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation

    Fang Chen, Meng Li, Yanmin Zhao
    2024-11-21
    15933 1388 Pages:641-672
  • Positivity-Preserving Local Discontinuous Galerkin Method for Pattern Formation Dynamical Model in Polymerizing Actin Flocks

    Xiuhui Guo, Lulu Tian, Yang Yang, Hui Guo
    2023-04-25
    38605 3166 Pages:623-642
  • Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations

    Yan Xu, Chi-Wang Shu
    2004-04-02
    34172 3746 Pages:250-274
  • A Finite Volume Method Preserving Maximum Principle for the Conjugate Heat Transfer Problems with General Interface Conditions

    Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan
    2023-04-25
    31805 2885 Pages:345-369
  • A Numerical Study of Uniform Superconvergence of LDG Method for Solving Singularly Perturbed Problems

    Ziqing Xie, Zuozheng Zhang & Zhimin Zhang
    2018-08-07
    33036 3801 Pages:280-298
  • A New Finite Element Approximation of a State-Constrained Optimal Control Problem

    Wenbin Liu, Wei Gong, Ningning Yan
    2018-08-15
    34173 3838 Pages:97-114
  • Energy Estimates for Delay Diffusion-Reaction Equations

    J.A. Ferreira & P.M. da Silva
    2018-08-07
    31649 3407 Pages:536-553
  • Uniform Stabilization and Numerical Analysis of a Thermoviscoelastic System with the Guyer-Krumhansl Model

    A.J.A. Ramos, L.G.M. Rosário, B. Feng, M.M. Freitas, L.S. Veras
    2025-09-05
    120 24
  • Numerical Studies of I-V Characteristics in Resonant Tunneling Diodes: A Survey of Convergence

    Xingming Gao, Haiyan Jiang, Tiao Lu, Wenqi Yao
    2025-11-20
    1328 55 Pages:232-247
  • A Perturbation Method for the Numerical Solution of the Bernoulli Problem

    François Bouchon, Stéphane Clain, Rachid Touzani
    2018-08-15
    32866 3905 Pages:23-36
  • A Finite Difference Scheme for Solving the Nonlinear Poisson-Boltzmann Equation Modeling Charged Spheres

    Zhong-Hua Qiao, Zhi-Lin Li & Tao Tang
    2006-06-02
    34354 4520 Pages:252-264 Open-access
  • Optimal Control for Multiscale Elliptic Equations with Rough Coefficients

    Yanping Chen, Xinliang Liu, Jiaoyan Zeng, Lei Zhang
    2023-05-08
    40989 3033 Pages:841-865
  • Numerical Reconstruction of Small Perturbations in the Electromagnetic Coefficients of a Dielectric Material

    Marion Darbas & Stephanie Lohrengel
    2018-08-22
    36532 4683 Pages:21-38 Open-access
  • Convergence and Mean-Square Stability of Exponential Euler Method for Semi-Linear Stochastic Delay Integro-Differential Equations

    Haiyan Yuan
    2022-10-06
    37194 3027 Pages:177-204
  • Two-Step Scheme for Backward Stochastic Differential Equations

    Qiang Han, Shaolin Ji
    2022-11-15
    300320 3068 Pages:287-304
  • Strong Predictor-Corrector Approximation for Stochastic Delay Differential Equations

    Yuanling Niu, Chengjian Zhang, Kevin Burrage
    2021-07-01
    37676 3528 Pages:587-605
  • Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity

    Jiyong Li
    2024-11-19
    13707 1054 Pages:280-314
  • Efficient Box-Constrained TV-Type-$l^1$ Algorithms for Restoring Images with Impulse Noise

    Liyan Ma, Michael K. Ng, Jian Yu & Tieyong Zeng
    2018-08-22
    37621 3829 Pages:249-270
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