A Finite Element Method for the Frobenius-Perron Operator Equation

Authors

Jiu Ding, University of Southern MississippiFollow
Aihui Zhou, Academica SinicaFollow

Document Type

Article

Publication Date

7-15-1999

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

We present a finite element framework to numerically solve the absolutely continuous invariant measure associated with a non-singular transformation. Both convergence analysis and error estimates of the method are given for a class of mappings in Rⁿ.

Publication Title

Applied Mathematics and Computation

Volume

102

Issue

41308

First Page

155

Last Page

164

Recommended Citation

Ding, J., Zhou, A. (1999). A Finite Element Method for the Frobenius-Perron Operator Equation. Applied Mathematics and Computation, 102(41308), 155-164.
Available at: https://aquila.usm.edu/fac_pubs/4615