Implicit Runge-Kutta methods based on Lobatto quadrature formula

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

9 Scopus Citations
View graph of relations



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


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