On the Norm Convergence of a Piecewise Linear Least Squares Method for Frobenius-Perron Operators

Authors

Jiu Ding, University of Southern MississippiFollow
Noah H. Rhee, University of Missouri, Kansas CityFollow

Document Type

Article

Publication Date

2-1-2012

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

In this paper we prove both the L¹-norm and the BV-norm convergence for a piecewise linear least squares approximation method that was recently proposed for computing stationary density functions of Frobenius-Perron operators associated with piecewise C² and stretching mappings of the unit interval. We also give a convergence rate analysis under the BV-norm. (C) 2011 Elsevier Inc. All rights reserved.

Publication Title

Journal of Mathematical Analysis and Applications

Volume

386

Issue

1

First Page

91

Last Page

102

Recommended Citation

Ding, J., Rhee, N. H. (2012). On the Norm Convergence of a Piecewise Linear Least Squares Method for Frobenius-Perron Operators. Journal of Mathematical Analysis and Applications, 386(1), 91-102.
Available at: https://aquila.usm.edu/fac_pubs/239