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  • 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
  • Numerical Solutions of Nonautonomous Stochastic Delay Differential Equations by Discontinuous Galerkin Methods

    Xinjie Dai, Aiguo Xiao
    2019-04-29
    40043 3007 Pages:419-436
  • Delay-Dependent Treatment of Linear Multistep Methods for Neutral Delay Differential Equations

    Syed Khalid Jaffer, Ming-Zhu Liu
    2003-08-02
    32384 3538 Pages:535-544
  • Mean Square Stability and Dissipativity of Split-Step Theta Method for Nonlinear Neutral Stochastic Delay Differential Equations with Poisson Jumps

    Haiyan Yuan, Jihong Shen, Cheng Song
    2021-07-01
    36701 3673 Pages:766-779
  • A Spectral Method for Pantograph-Type Delay Differential Equations and Its Convergence Analysis

    Ishtiaq Ali, Hermann Brunner & Tao Tang
    2018-08-07
    33113 3507 Pages:254-265
  • Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid

    Libin Liu, Yanping Chen, Ying Liang
    2022-10-06
    37391 2984 Pages:258-274
  • The Stability of Linear Multistep Methods for Linear Systems of Neutral Differential Equations

    Hong-Jiong Tian, Jiao-Xun Kuang, Lin Qiu
    2001-04-02
    33037 3491 Pages:125-130
  • The Numerical Stability of the $\theta$-Method for Delay Differential Equations with Many Variable Delays

    Lin Qiu, Taketomo Mitsui, Jiao-Xun Kuang
    1999-10-02
    78 30 Pages:523-532
  • A General Class of One-Step Approximation for Index-1 Stochastic Delay-Differential-Algebraic Equations

    Tingting Qin, Chengjian Zhang
    2018-09-10
    37667 3179 Pages:151-169
  • A Class of Two-Step Continuity Runge-Kutta Methods for Solving Singular Delay Differential Equations and Its Stability Analysis

    Xin Leng, De-Gui Liu, Xiao-Qiu Song & Li-Rong Chen
    2021-07-01
    32226 3398 Pages:647-656
  • Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays

    Ishtiaq Ali
    2018-08-22
    33380 3732 Pages:49-60
  • The Stability of the $θ$-Methods for Delay Differential Equations

    Jing-Jun Zhao, Ming-Zhu Liu, Shen-Shan Qiu
    1999-08-02
    32293 3443 Pages:441-448
  • D-Convergence of Runge-Kutta Methods for Stiff Delay Differential Equations

    Cheng-Ming Huang, Hong-Yuan Fu, Shou-Fu Li, Guang-Nan Chen
    2001-06-02
    33079 3463 Pages:259-268
  • D-Convergence of One-Leg Methods for Stiff Delay Differential Equations

    Cheng-Ming Huang, Shou-Fu Li, Hong-Yuan Fu, Guang-Nan Chen
    2021-07-01
    33727 3375 Pages:601-606
  • Asymptotic Stability for Gauss Methods for Neutral Delay Differential Equations

    Birama Sory Sidibe, Ming-Zhu Liu
    2002-04-02
    31886 3320 Pages:217-224
  • Nonlinear Stability of Natural Runge-Kutta Methods for Neutral Delay Differential Equations

    Cheng-Jian Zhang
    2021-07-01
    32983 3516 Pages:583-590
  • Stabilities of (A,B,C) and NPDIRK Methods for Systems of Neutral Delay-Differential Equations with Multiple Delays

    Guo-Feng Zhang
    2003-06-02
    32364 3233 Pages:375-382
  • Dissipativity and Exponential Stability of $\theta$-Methods for Singularly Perturbed Delay Differential Equations with a Bounded Lag

    Hong-Jiong Tian
    2021-07-01
    69 33 Pages:715-726
  • Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation via Block Boundary Value Methods

    Xiaoqiang Yan, Xu Qian, Hong Zhang, Songhe Song, Xiujun Cheng
    2023-04-25
    38530 3223 Pages:643-662
  • Convergence Rate of the Truncated Euler-Maruyama Method for Neutral Stochastic Differential Delay Equations with Markovian Switching

    Wei Zhang
    2021-07-01
    42557 3794 Pages:903-932
  • Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations

    Dongfang Li & Chengjian Zhang
    2018-08-22
    34567 3328 Pages:574-588
  • Strong Predictor-Corrector Approximation for Stochastic Delay Differential Equations

    Yuanling Niu, Chengjian Zhang, Kevin Burrage
    2021-07-01
    37676 3528 Pages:587-605
  • Local Superconvergence of Continuous Galerkin Solutions for Delay Differential Equations of Pantograph Type

    Xiuxiu Xu, Qiumei Huang, Hongtao Chen
    2018-08-22
    35893 2933 Pages:186-199
  • Asymptotic Stability of Runge-Kutta Methods for the Pantograph Equations

    Jingjun Zhao, Wanrong Cao, Mingzhu Liu
    2004-08-02
    33714 3309 Pages:523-534
  • Modified Split-Step Theta Method for Stochastic Differential Equations Driven by Fractional Brownian Motion

    Jingjun Zhao, Hao Zhou, Yang Xu
    2024-07-18
    24649 1723 Pages:1226-1245
  • Convergence of Parallel Diagonal Iteration of Runge-Kutta Methods for Delay Differential Equations

    Xiaohua Ding, Mingzhu Liu
    2004-06-02
    32772 3398 Pages:361-370
  • Stability of the Stochastic θ-Method for Super-Linear Stochastic Differential Equations with Unbounded Delay

    Lin Chen
    2019-04-29
    43639 2990 Pages:704-720
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