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

Mathematical and Statistical Sciences, School of (SMSS)

Research output: Contribution to journal › Article › peer-review

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

Cite this

@article{b332b8a1246b47e2a0ad43b0645d5daa,

title = "Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations",

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.",

keywords = "A-stability, Delay differential equations, P-stability, Two-step Runge-Kutta methods, Uniform convergence",

author = "Z. Bartoszewski and Zdzislaw Jackiewicz",

year = "2008",

month = oct,

day = "15",

doi = "10.1016/j.cam.2007.08.007",

language = "English (US)",

volume = "220",

pages = "257--270",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations

AU - Bartoszewski, Z.

AU - Jackiewicz, Zdzislaw

PY - 2008/10/15

Y1 - 2008/10/15

N2 - 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.

AB - 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.

KW - A-stability

KW - Delay differential equations

KW - P-stability

KW - Two-step Runge-Kutta methods

KW - Uniform convergence

UR - http://www.scopus.com/inward/record.url?scp=47849105725&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=47849105725&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2007.08.007

DO - 10.1016/j.cam.2007.08.007

M3 - Article

AN - SCOPUS:47849105725

VL - 220

SP - 257

EP - 270

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 1-2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this