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Volume 19, Issue 3
D-Convergence of Runge-Kutta Methods for Stiff Delay Differential Equations

Cheng-Ming Huang, Hong-Yuan Fu, Shou-Fu Li & Guang-Nan Chen

J. Comp. Math., 19 (2001), pp. 259-268.

Published online: 2001-06

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  • Abstract

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.

  • Keywords

Delay Differential equations, Runge-Kutta methods, D-convergence.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-259, author = {Huang , Cheng-MingFu , Hong-YuanLi , Shou-Fu and Chen , Guang-Nan}, title = {D-Convergence of Runge-Kutta Methods for Stiff Delay Differential Equations}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {3}, pages = {259--268}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8978.html} }
TY - JOUR T1 - D-Convergence of Runge-Kutta Methods for Stiff Delay Differential Equations AU - Huang , Cheng-Ming AU - Fu , Hong-Yuan AU - Li , Shou-Fu AU - Chen , Guang-Nan JO - Journal of Computational Mathematics VL - 3 SP - 259 EP - 268 PY - 2001 DA - 2001/06 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8978.html KW - Delay Differential equations, Runge-Kutta methods, D-convergence. AB -

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.

Huang , Cheng-MingFu , Hong-YuanLi , Shou-Fu and Chen , Guang-Nan. (2001). D-Convergence of Runge-Kutta Methods for Stiff Delay Differential Equations. Journal of Computational Mathematics. 19 (3). 259-268. doi:
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