A finite element method for the Frobenius-Perron operator equation

Authors
Citation
J. Ding et Ah. Zhou, A finite element method for the Frobenius-Perron operator equation, APPL MATH C, 102(2-3), 1999, pp. 155-164
Citations number
19
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
102
Issue
2-3
Year of publication
1999
Pages
155 - 164
Database
ISI
SICI code
0096-3003(19990715)102:2-3<155:AFEMFT>2.0.ZU;2-T
Abstract
We present a finite element framework to numerically solve the absolutely c ontinuous invariant measure associated with a non-singular transformation. Both convergence analysis and error estimates of the method are given for a . class of mappings in R-n. (C) 1999 Elsevier Science Inc. All rights reser ved. AMS Classification: 41A35; 65D07; 65J10.