A Cubic Spline Projection Method for Computing Stationary Densities For Random Maps

Authors

Azzah Alshekhi, Al-Baha UniversityFollow
Jiu Ding, University of Southern MississippiFollow
Noah Rhee, University of Missouri - Kansas CityFollow

Document Type

Article

Publication Date

1-1-2025

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

We apply the cubic spline projection method to compute a stationary density of the Foias operator for a random map to improve the convergence rate of the linear spline and quadratic spline projection methods. We analyze the convergence of the numerical scheme as well as provide numerical experiments that support our claims.

Publication Title

Journal of Mathematical Analysis and Applications

Volume

541

Issue

1

Recommended Citation

Alshekhi, A., Ding, J., Rhee, N. (2025). A Cubic Spline Projection Method for Computing Stationary Densities For Random Maps. Journal of Mathematical Analysis and Applications, 541(1).
Available at: https://aquila.usm.edu/fac_pubs/21893