Title

Piecewise Linear Least Squares Approximations of Frobenius-Perron Operators

Document Type

Article

Publication Date

12-1-2010

Department

Mathematics

Abstract

We propose a piecewise linear numerical method based on least squares approximations for computing stationary density functions of Frobenius–Perron operators associated with piecewise C2 and stretching mappings of the unit interval. We prove the weak convergence of the method for a class of Frobenius–Perron operators, and the numerical results show that it is also norm convergent and has a better convergence rate than the piecewise linear Markov approximation method.

Publication Title

Applied Mathematics and Computation

Volume

217

Issue

7

First Page

3257

Last Page

3262

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