TOWARDS A PROOF OF THE KUZMAK-KOGELMAN-KELLER ALGORITHM

Authors
CHAPMAN PB
Citation
Pb. Chapman, TOWARDS A PROOF OF THE KUZMAK-KOGELMAN-KELLER ALGORITHM, Physica. D, 72(3), 1994, pp. 182-194
Citations number
5
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
72
Issue
3
Year of publication
1994
Pages
182 - 194
Database
ISI
SICI code
0167-2789(1994)72:3<182:TAPOTK>2.0.ZU;2-C
Abstract
A proof of the Kuzmak-Kogelman-Keller algorithm in the simplest, non-t rivial case is given and it contains the essential steps required in p roofs of more complicated ones. The motivation is to produce error bou nds such that the approximation produced by the algorithm is ''good'' on a useful interval of the independent variable.