en
Scientific article
English

Unconditionally stable methods for second order differential equations

ContributorsHairer, Ernst
Published inNumerische Mathematik, vol. 32, no. 4, p. 373-379
Publication date1979
Abstract

We use the concept of order stars (see [1]) to prove and generalize a recent result of Dahlquist [2] on unconditionally stable linear multistep methods for second order differential equations. Furthermore a result of Lambert-Watson [3] is generalized to the multistage case. Finally we present unconditionally stable Nyström methods of order 2s (s=1,2,...) and an unconditionally stable modification of Numerov's method. The starting point of this paper was a discussion with G. Wanner and S.P. Nørsett. The author is very grateful to them.

Citation (ISO format)
HAIRER, Ernst. Unconditionally stable methods for second order differential equations. In: Numerische Mathematik, 1979, vol. 32, n° 4, p. 373–379. doi: 10.1007/BF01401041
Main files (1)
Article (Published version)
accessLevelRestricted
Identifiers
ISSN of the journal0029-599X
532views
1downloads

Technical informations

Creation11/17/2010 9:13:00 AM
First validation11/17/2010 9:13:00 AM
Update time03/14/2023 4:09:09 PM
Status update03/14/2023 4:09:08 PM
Last indexation01/15/2024 9:50:55 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack