Piecewise linear least squares approximations of Frobenius-Perron operators |
| |
Authors: | J. Ding |
| |
Affiliation: | a Department of Mathematics, The University of Southern Mississippi, Hattiesburg, MS 39406-5045, USA b Department of Mathematics and Statistics, University of Missouri - Kansas City, Kansas City, MO 64110-2499, USA |
| |
Abstract: | We propose a piecewise linear numerical method based on least squares approximations for computing stationary density functions of Frobenius-Perron operators associated with piecewise C2 and stretching mappings of the unit interval. We prove the weak convergence of the method for a class of Frobenius-Perron operators, and the numerical results show that it is also norm convergent and has a better convergence rate than the piecewise linear Markov approximation method. |
| |
Keywords: | Least squares Frobenius-Perron operators Absolutely continuous invariant measures |
本文献已被 ScienceDirect 等数据库收录! |
|