A P-STABLE 8TH-ORDER METHOD FOR THE NUMERICAL-INTEGRATION OF PERIODICINITIAL-VALUE PROBLEMS

Authors
SIMOS TE TSITOURAS C
Citation
Te. Simos et C. Tsitouras, A P-STABLE 8TH-ORDER METHOD FOR THE NUMERICAL-INTEGRATION OF PERIODICINITIAL-VALUE PROBLEMS, Journal of computational physics, 130(1), 1997, pp. 123-128
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
130
Issue
1
Year of publication
1997
Pages
123 - 128
Database
ISI
SICI code
0021-9991(1997)130:1<123:AP8MFT>2.0.ZU;2-H
Abstract
An eighth-order P-stable two-step method for the numerical integration of second-order periodic initial-value problems is developed in this paper. This method has seven stages per iteration and an interval of p eriodicity equal to (0, infinity); i.e., it is P-stable. Numerical and theoretical results obtained for several well-known problems show the efficiency of the new method. (C) 1997 Academic Press