D-Convergence of Runge-Kutta Methods for Stiff Delay Differential Equations

D-Convergence of Runge-Kutta Methods for Stiff Delay Differential Equations

Year:    2001

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

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-8978

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 3 : pp. 259–268

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Delay Differential equations Runge-Kutta methods D-convergence.

Author Details

Cheng-Ming Huang

Hong-Yuan Fu

Shou-Fu Li

Guang-Nan Chen