Implicit Runge-Kutta methods based on Lobatto quadrature formula

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)77-88
Journal / PublicationInternational Journal of Computer Mathematics
Volume82
Issue number1
Publication statusPublished - Jan 2005
Externally publishedYes

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-27944495222&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(00d5087e-fa84-4faf-ab04-013ffa9d0d86).html

Abstract

Using W-transformation of Hairre and Wanner, high-order implicit Runge-Kutta (RK) methods based on Lobatto quadrature are studied. Methods constructed and presented include and extend the existing Lobatto III type RK methods. Two to four stages general Lobatto III methods with three parameters α, β, γ are constructed , and a particular one-parameter family Lobatto III C(γ) method is also presented. © 2005 Taylor & Francis Ltd.

Research Area(s)

  • A-stability, L-stability, Lobatto quadrature, Runge-Kutta method, Stiff accuracy, Symplectic

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Publication fingerprints text

100
Kutta Method Engineering
100
Implicit Runge Engineering
100
quadratures INIS
100
runge-kutta method INIS
100
Quadrature Formula Keyphrases
100
Lobatto Quadrature Keyphrases
100
Implicit Runge-Kutt... Keyphrases
100
Runge-Kutta Method Mathematics
50
High-order Keyphrases
50
One-parameter Famil... Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
Implicit Runge-Kutta methods based on Lobatto quadrature formula. / LIU, Hongyu; SUN, Geng.
In: International Journal of Computer Mathematics, Vol. 82, No. 1, 01.2005, p. 77-88.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review