D-CONVERGENCE OF RUNGE-KUTTA METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS

Cheng-ming Huang; Hong-yuan Fu; Shou-fu Li 20f

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D-CONVERGENCE OF RUNGE-KUTTA METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS

机译：刚度延迟微分方程的Runge-Kutta方法的D收敛

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This paper is concerned with the numerical solution of delay differential equations (DDEs). We focus on the error behaviour of Runge-Kutta methods for stiff DDEs. We investigate D-convergence properties of algebraically stable Runge-Kutta methods with three kinds of Interpolation procedures

机译：本文关注的是时滞微分方程（DDE）的数值解。我们专注于针对刚性DDE的Runge-Kutta方法的错误行为。我们用三种插值方法研究代数稳定的Runge-Kutta方法的D收敛性质

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来源
《Journal of Computational Mathematics》 |2001年第3期|p.259-268|共10页
作者
Cheng-ming Huang; Hong-yuan Fu; Shou-fu Li 20f;
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正文语种 eng
中图分类计算数学;
关键词
Delay Differential equations; Runge-Kutta methods; D-convergence;

机译：时滞微分方程;Runge-Kutta方法;D收敛;

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2. Nonlinear Stability and D-Convergence of Additive Runge-Kutta Methods for Multidelay-Integro-Differential Equations [J] . HaiyanYuan, JingjunZhao, YangXu Abstract and applied analysis . 2012,第4期

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3. Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations [J] . Zhang Chengjian, Zhou Shuzi Journal of Computational and Applied Mathematics . 1997,第2期

机译：时滞微分方程Runge-Kutta方法的非线性稳定性和D收敛性
4. Runge-Kutta methods for differential equations with distributed delays [C] . A. S. Eremin International Conference of Numerical Analysis and Applied Mathematics . 2019

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5. Numerical solution of retarded and neutral delay differential equations using continuous Runge-Kutta methods. [D] . Hayashi, Hiroshi. 1996

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6. A new multi-step technique with differential transform method for analytical solution of some nonlinear variable delay differential equations [O] . Brahim Benhammouda, Hector Vazquez-Leal -1

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7. Nonlinear Stability and D-Convergence of Additive Runge-Kutta Methods for Multidelay-Integro-Differential Equations [O] . Haiyan Yuan, Jingjun Zhao, Yang Xu 2012

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8. Parallel-Iterated Runge-Kutta Methods for Stiff Ordinary Differential Equations [R] . Sommeijer, B. P. 1991

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D-CONVERGENCE OF RUNGE-KUTTA METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS

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