Piecewise linear least squares approximations of Frobenius-Perron operators

DOI10.1016/J.AMC.2010.08.059zbMath1204.65007OpenAlexW2003041791MaRDI QIDQ613261

Jiu Ding, Noah H. Rhee

Publication date: 20 December 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.059

zbMATH Keywords

convergencenumerical resultsleast squaresabsolutely continuous invariant measuresFrobenius-Perron operatorspiecewise linear numerical methodstationary density functions

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (4)

On the norm convergence of a piecewise linear least squares method for Frobenius-Perron operators ⋮ A modified piecewise linear Markov approximation of Markov operators ⋮ Convergence analysis of projection methods for Frobenius-Perron operators based on matrix norm techniques ⋮ The Norm Convergence of a Least Squares Approximation Method for Random Maps

Cites Work

• Projection solutions of Frobenius-Perron operator equations
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• The projection method for a class of Frobenius-Perron operators
• The exact rate of approximation in Ulam's method
• Approximations of Frobenius-Perron operators via interpolation
• A modified piecewise linear Markov approximation of Markov operators
• Markov finite approximation of Frobenius-Perron operator
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Ulam's method for random interval maps
• Unnamed Item

This page was built for publication: Piecewise linear least squares approximations of Frobenius-Perron operators