Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations

Z. Bartoszewski; Zdzislaw Jackiewicz

doi:10.1016/j.cam.2007.08.007

Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations

Z. Bartoszewski, Zdzislaw Jackiewicz

CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)

Research output: Contribution to journal › Article

5 Scopus citations

Abstract

It is shown that any A-stable two-step Runge-Kutta method of order over(p, ̃) and stage order q = over(p, ̃) for ordinary differential equations can be extended to the P-stable method of uniform order p = over(p, ̃) for delay differential equations.

Original language	English (US)
Pages (from-to)	257-270
Number of pages	14
Journal	Journal of Computational and Applied Mathematics
Volume	220
Issue number	1-2
DOIs	https://doi.org/10.1016/j.cam.2007.08.007
State	Published - Oct 15 2008

Keywords

A-stability
Delay differential equations
P-stability
Two-step Runge-Kutta methods
Uniform convergence

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.cam.2007.08.007

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Bartoszewski, Z., & Jackiewicz, Z. (2008). Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations. Journal of Computational and Applied Mathematics, 220(1-2), 257-270. https://doi.org/10.1016/j.cam.2007.08.007

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