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  • An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven by Additive White Noises

    Mahboub Baccouch
    2024-01-16
    25076 2156 Pages:432-453
  • Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition

    Lavanya V Salian, Rathan Samala, Rakesh Kumar
    2025-11-19
    48 16
  • On New Strategies to Control the Accuracy of WENO Algorithm Close to Discontinuities II: Cell Averages and Multiresolution

    Sergio Amat, Juan Ruiz, Chi-Wang Shu
    2020-05-19
    39356 2999 Pages:661-682
  • A Monotone Compact Implicit Scheme for Nonlinear Reaction-Diffusion Equations

    Yuanming Wang & Benyu Guo
    2018-08-07
    33608 3611 Pages:123-148
  • AD Galerkin Analysis for Nonlinear Pseudo-Hyperbolic Equations

    Xia Cui
    2003-04-02
    32964 3505 Pages:125-134
  • One-Parameter Finite Difference Methods and Their Accelerated Schemes for Space-Fractional Sine-Gordon Equations with Distributed Delay

    Tao Sun, Chengjian Zhang, Haiwei Sun
    2024-04-08
    18870 1851 Pages:705-734
  • Block-Centered Finite Difference Methods for Non-Fickian Flow in Porous Media

    Xiaoli Li, Hongxing Rui
    2018-09-17
    40627 2894 Pages:492-516
  • Hermite WENO Schemes with Strong Stability Preserving Multi-Step Temporal Discretization Methods for Conservation Laws

    Xiaofeng Cai, Jun Zhu, Jianxian Qiu
    2018-08-22
    39205 4268 Pages:52-73
  • A High Order Adaptive Finite Element Method for Solving Nonlinear Hyperbolic Conservation Laws

    Zhengfu Xu, Jinchao Xu, & Chi-Wang Shu
    2018-08-22
    34525 3524 Pages:491-500
  • A New Stabilized Subgrid Eddy Viscosity Method Based on Pressure Projection and Extrapolated Trapezoidal Rule for the Transient Navier-Stokes Equations

    Minfu Feng, Yanhong Bai, Yinnian He & Yanmei Qin
    2018-08-22
    33882 3697 Pages:415-440
  • Two-Stage Fourth-Order Accurate Time Discretizations for 1D and 2D Special Relativistic Hydrodynamics

    Huazhong Tang, Yuhuan Yuan
    2020-11-09
    43666 2965 Pages:768-796
  • A Second-Order Convex Splitting Scheme for a Cahn-Hilliard Equation with Variable Interfacial Parameters

    Xiao Li, Zhonghua Qiao, Hui Zhang
    2021-07-01
    37574 3930 Pages:693-710
  • Approximation of Nonconforming Quasi-Wilson Element for Sine-Gordon Equations

    Dongyang Shi & Ding Zhang
    2018-08-22
    36243 3507 Pages:271-282
  • High-Order Local Absorbing Boundary Conditions for Heat Equation in Unbounded Domains

    Xiaonan Wu & Jiwei Zhang
    2018-08-22
    33789 3932 Pages:74-90
  • A Fourth-Order Derivative-Free Operator Marching Method for Helmholtz Equation in Waveguides

    Ya Yan Lu
    2021-07-01
    32250 3373 Pages:719-729
  • Jacobi Pseudospectral Method for Fourth Order Problems

    Zheng-su Wan, Ben-yu Guo & Zhong-qing Wang
    2006-08-02
    30279 3522 Pages:481-500
  • Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations

    Yan Xu, Chi-Wang Shu
    2004-04-02
    34172 3746 Pages:250-274
  • On the $L_\infty$ Convergence and the Extrapolation Method of a Difference Scheme for Nonlocal Parabolic Equation with Natural Boundary Conditions

    Zheng-Su Wan, Zhi-Zhong Sun
    2001-10-02
    66 38 Pages:449-458
  • On the Explicit Two-Stage Fourth-Order Accurate Time Discretizations

    Yuhuan Yuan, Huazhong Tang
    2022-11-15
    300579 2943 Pages:305-324
  • A Class of Multistep Method Containing Second Order Derivatives for Solving Stiff Ordinary Differential Equations

    Xue-Song Bao, Hong-Yi Xu, You-Cai Rui
    1991-09-01
    32919 3541 Pages:273-277
  • Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang
    2023-12-01
    29167 2642 Pages:217-247
  • 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
  • A Numerical Study for the Performance of the WENO Schemes Based on Different Numerical Fluxes for the Shallow Water Equations

    Changna Lu, Jianxian Qiu & Ruyun Wang
    2021-07-01
    35745 3734 Pages:807-825
  • Approximation, Stability and Fast Evaluation of Exact Artificial Boundary Condition for the One-Dimensional Heat Equation

    Chunxiong Zheng
    2021-07-01
    32132 3433 Pages:730-745
  • Edge-Oriented Hexagonal Elements

    Chao Yang & Jiachang Sun
    2007-08-02
    32789 3462 Pages:430-439
  • A Second Order Control-Volume Finite-Element Least-Squares Strategy for Simulating Diffusion in Strongly Anisotropic Media

    Jayantha Pasdunkorale A. & Ian W. Turner
    2018-08-15
    33264 3970 Pages:1-16
  • The Prediction-Correction Legendre Collocation Method for Nonlinear Evolutionary Problems

    Liping He, Shunkai Sun
    2004-10-02
    33861 3717 Pages:753-768
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