Search Results

• Convergence and Mean-Square Stability of Exponential Euler Method for Semi-Linear Stochastic Delay Integro-Differential Equations

  Haiyan Yuan

  2022-10-06

  DOI:10.4208/jcm.2010-m2019-0200

  37451 3086 pp. 177-204

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

  Xinjie Dai, Aiguo Xiao

  2019-04-29

  DOI:10.4208/jcm.1806-m2017-0296

  40240 3065 pp. 419-436

• Delay-Dependent Treatment of Linear Multistep Methods for Neutral Delay Differential Equations

  Syed Khalid Jaffer, Ming-Zhu Liu

  2003-08-02

  32571 3591 pp. 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

  DOI:10.4208/jcm.1612-m2016-0560

  36921 3714 pp. 766-779

• A Spectral Method for Pantograph-Type Delay Differential Equations and Its Convergence Analysis

  Ishtiaq Ali, Hermann Brunner, Tao Tang

  2018-08-07

  33289 3557 pp. 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

  DOI:10.4208/jcm.2008-m2020-0063

  37705 3135 pp. 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

  33224 3541 pp. 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

  290 98 pp. 523-532

• A General Class of One-Step Approximation for Index-1 Stochastic Delay-Differential-Algebraic Equations

  Tingting Qin, Chengjian Zhang

  2018-09-10

  DOI:10.4208/jcm.1711-m2016-0810

  37850 3234 pp. 151-169

• A Class of Two-Step Continuity Runge-Kutta Methods for Solving Singular Delay Differential Equations and Its Stability Analysis

  X Leng, DG Liu, XQ Song, LR Chen

  2021-07-01

  32422 3463 pp. 647-656

• Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays

  Ishtiaq Ali

  2018-08-22

  DOI:10.4208/jcm.1006-m3150

  33617 3836 pp. 49-60

• Dissipativity and Exponential Stability of $\theta$-Methods for Singularly Perturbed Delay Differential Equations with a Bounded Lag

  Hong-Jiong Tian

  2021-07-01

  253 94 pp. 715-726

• Nonlinear Stability of Natural Runge-Kutta Methods for Neutral Delay Differential Equations

  Cheng-Jian Zhang

  2021-07-01

  33165 3572 pp. 583-590

• Asymptotic Stability for Gauss Methods for Neutral Delay Differential Equations

  Birama Sory Sidibe, Ming-Zhu Liu

  2002-04-02

  32079 3365 pp. 217-224

• 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

  33934 3443 pp. 601-606

• 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

  33289 3533 pp. 259-268

• The Stability of the $θ$-Methods for Delay Differential Equations

  Jing-Jun Zhao, Ming-Zhu Liu, Shen-Shan Qiu

  1999-08-02

  32487 3505 pp. 441-448

• Stabilities of (A,B,C) and NPDIRK Methods for Systems of Neutral Delay-Differential Equations with Multiple Delays

  Guo-Feng Zhang

  2003-06-02

  32555 3281 pp. 375-382

• Strong Predictor-Corrector Approximation for Stochastic Delay Differential Equations

  Yuanling Niu, Chengjian Zhang, Kevin Burrage

  2021-07-01

  DOI:10.4208/jcm.1507-m4505

  37938 3608 pp. 587-605

• Local Superconvergence of Continuous Galerkin Solutions for Delay Differential Equations of Pantograph Type

  Xiuxiu Xu, Qiumei Huang, Hongtao Chen

  2018-08-22

  DOI:10.4208/jcm.1511-m2014-0216

  36133 2986 pp. 186-199

• 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

  DOI:10.4208/jcm.2109-m2021-0020

  38773 3290 pp. 643-662

• Convergence Rate of the Truncated Euler-Maruyama Method for Neutral Stochastic Differential Delay Equations with Markovian Switching

  Wei Zhang

  2021-07-01

  DOI:10.4208/jcm.1906-m2018-0237

  42806 3869 pp. 903-932

• Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations

  Dongfang Li, Chengjian Zhang

  2018-08-22

  DOI:10.4208/jcm.1107-m3433

  34773 3379 pp. 574-588

• Asymptotic Stability of Runge-Kutta Methods for the Pantograph Equations

  Jingjun Zhao, Wanrong Cao, Mingzhu Liu

  2004-08-02

  33920 3356 pp. 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

  DOI:10.4208/jcm.2301-m2022-0088

  24938 1799 pp. 1226-1245

• Convergence of Parallel Diagonal Iteration of Runge-Kutta Methods for Delay Differential Equations

  Xiaohua Ding, Mingzhu Liu

  2004-06-02

  32972 3456 pp. 361-370

• Mean-Square Convergence of Two-Step Milstein Methods for Nonlinear Stochastic Delay Differential Equations

  Lijuan Peng, Lihang Zhou, Wenqiang Wang

  2026-04-15

  DOI:10.4208/jcm.2509-m2025-0023

  3091 243 pp. 578-592