Piecewise Linear Least Squares Approximations of Frobenius-Perron Operators
We propose a piecewise linear numerical method based on least squares approximations for computing stationary density functions of Frobenius-Perron operators associated with piecewise C(2) 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. (C) 2010 Elsevier Inc. All rights reserved.
Applied Mathematics and Computation
(2010). Piecewise Linear Least Squares Approximations of Frobenius-Perron Operators. Applied Mathematics and Computation, 217(7), 3257-3262.
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