A COMPARISON OF SEVERAL ENCLOSURE METHODS FOR ODES

Authors
RIHM R
Citation
R. Rihm, A COMPARISON OF SEVERAL ENCLOSURE METHODS FOR ODES, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 507-508
Citations number
12
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
1
Pages
507 - 508
Database
ISI
SICI code
0044-2267(1996)76:<507:ACOSEM>2.0.ZU;2-V
Abstract
We compare the three main approaches to enclose solutions of IVPs. The computation of validated bounds always requires the application of an existence or inclusion theorem. In this paper, these theorems are use d to investigate some fundamental properties of the corresponding meth ods.