UNIGE document Scientific Article
previous document  unige:12544  next document
add to browser collection
Title

Algebraically Stable and Implementable Runge-Kutta Methods of High Order

Authors
Published in SIAM Journal on Numerical Analysis. 1981, vol. 18, no. 6, p. 1098-1108
Abstract There are three interesting properties of methods for (stiff) ordinary differential equations: order, stability and efficiency of implementation. This paper constructs Runge-Kutta methods of orders 5 and 6 which possess these properties to a high extent. We further classify all algebraically stable methods of an arbitrary order and give various relationships between contractivity and order of implicit methods.
Full text
Article (Published version) (271 Kb) - document accessible for UNIGE members only Limited access to UNIGE
Other version: http://www.jstor.org/stable/2157258
Structures
Citation
(ISO format)
HAIRER, Ernst, WANNER, Gerhard. Algebraically Stable and Implementable Runge-Kutta Methods of High Order. In: SIAM Journal on Numerical Analysis, 1981, vol. 18, n° 6, p. 1098-1108. https://archive-ouverte.unige.ch/unige:12544

206 hits

0 download

Update

Deposited on : 2010-11-19

Export document
Format :
Citation style :