ON A CLASS OF P-STABLE MONO-IMPLICIT RUNGE-KUTTA-NYSTROM METHODS

Authors
VANDAELE M DEMEYER H VANHECKE T VANDENBERGHE G
Citation
M. Vandaele et al., ON A CLASS OF P-STABLE MONO-IMPLICIT RUNGE-KUTTA-NYSTROM METHODS, Applied numerical mathematics, 27(1), 1998, pp. 69-82
Citations number
27
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied numerical mathematics → ACNP
ISSN journal
01689274
Volume
27
Issue
1
Year of publication
1998
Pages
69 - 82
Database
ISI
SICI code
0168-9274(1998)27:1<69:OACOPM>2.0.ZU;2-6
Abstract
By a detailed investigation of the conditions to be satisfied by a mon o-implicit Runge-Kutta-Nystrom (MIRKN) method in order to be P-stable, a subset of candidate P-stable MIRKN methods is firstly isolated. The n it is shown that this subset effectively contains P-stable MIRKN met hods with an even number of stages. Finally, P-stable MIRKN methods wi th 2, 4 and 6 stages are constructed explicitly. (C) 1998 IMACS/Elsevi er Science B.V.