High-Order Approximation of the Frobenius-Perron Operator
Document Type
Article
Publication Date
2-1-1993
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
We formulate a general convergence theory for the finite dimensional projection approximation of the fixed point of a class of linear operators. In particular, we explore the relation with the standard framework of stability and consistency of the approximation imply convergence. Applications include the Frobenius-Perron operator P(S), corresponding to a nonsingular measurable transformation from [0, 1] to itself. Numerical experiments are also given to support the theoretical analysis.
Publication Title
Applied Mathematics and Computation
Volume
53
Issue
2-3
First Page
151
Last Page
171
Recommended Citation
Ding, J.,
Du, Q.,
Li, T.
(1993). High-Order Approximation of the Frobenius-Perron Operator. Applied Mathematics and Computation, 53(2-3), 151-171.
Available at: https://aquila.usm.edu/fac_pubs/6392