Convergence Analysis of Projection Methods for Frobenius-Perron Operators Based On Matrix Norm Techniques

Authors

Qianglian Huang, Yangzhou UniversityFollow
Jiu Ding, University of Southern MississippiFollow
Noah H. Rhee, University of Missouri at Kansas CityFollow

Document Type

Article

Publication Date

11-1-2019

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Using matrix norm techniques, we give a unified convergence analysis of a general projection method for computing stationary density functions of Frobenius-Perron operators associated with piecewise C² and stretching transformations of the unit interval.

Publication Title

Journal of Mathematical Analysis and Applications

Volume

479

Issue

1

First Page

337

Last Page

349

Recommended Citation

Huang, Q., Ding, J., Rhee, N. H. (2019). Convergence Analysis of Projection Methods for Frobenius-Perron Operators Based On Matrix Norm Techniques. Journal of Mathematical Analysis and Applications, 479(1), 337-349.
Available at: https://aquila.usm.edu/fac_pubs/16314