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
Recommended Citation
Ding, J.,
Rhee, N. H.
(2010). Piecewise Linear Least Squares Approximations of Frobenius-Perron Operators. Applied Mathematics and Computation, 217(7), 3257-3262.
Available at: https://aquila.usm.edu/fac_pubs/757