A Quadratic Spline Least Squares Method for Computing Absolutely Continuous Invariant Measures

Authors

Duanmei Zhou, GanNan Normal University
Guoliang Chen, East China Normal University
Jiu Ding, University of Southern MississippiFollow
Noah H. Rhee, University of Missouri-Kansas CityFollow

Document Type

Article

Publication Date

1-1-2018

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

We develop a quadratic spline approximation method for the computation of absolutely continuous invariant measures of one dimensional mappings, based on the orthogonal projection of L² spaces. We prove the norm convergence of the numerical scheme and present the numerical experiments.

Publication Title

Communications in Mathematical Sciences

Volume

16

Issue

8

First Page

2077

Last Page

2093

Recommended Citation

Zhou, D., Chen, G., Ding, J., Rhee, N. (2018). A Quadratic Spline Least Squares Method for Computing Absolutely Continuous Invariant Measures. Communications in Mathematical Sciences, 16(8), 2077-2093.
Available at: https://aquila.usm.edu/fac_pubs/18182