Year: 2004
Author: Xiaohua Ding, Mingzhu Liu
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 3 : pp. 361–370
Abstract
Implicit Runge-Kutta method is highly accurate and stable for stiff initial value problem. But the iteration technique used to solve implicit Runge-Kutta method requires lots of computational efforts. In this paper, we extend the Parallel Diagonal Iterated Runge-Kutta (PDIRK) methods to delay differential equations (DDEs). We give the convergence region of PDIRK methods, and analyze the speed of convergence in three parts for the P-stability region of the Runge-Kutta corrector method. Finally, we analysis the speed-up factor through a numerical experiment. The results show that the PDIRK methods to DDEs are efficient.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-8856
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 3 : pp. 361–370
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Runge-Kutta method Parallel iteration Delay differential equation.