Add to ORKGLet S: [0,1] → [0,1] be a nonsingular transformation such that the corresponding Frobenius–Perron operator PS: L1 (0,1) → L1 (0,1) has a stationary density f∗. We develop a piecewise constant method for the numerical computation of f∗, based on the approximation of Dirac’s delta function via pulse functions. We show that the numerical scheme out of this new approach is exactly the classic Ulam’s method. Numerical results are given for several one dimensional test mappings
Let S:[0,1]→[0,1] be a nonsingular transformation and let P:L1(0,1)→L1(0,1) be the corresponding Fro...
We present a general frame of finite element maximum entropy methods for the computation of a statio...
Let S: [0, 1] → [0, 1] be a nonsingular transformation that preserves an absolutely continuous invar...
Let S: [0,1] → [0,1] be a nonsingular transformation such that the corresponding Frobenius–Perron op...
We propose a piecewise linear numerical method based on least squares approximations for computing s...
The statistical study of chaotic dynamical systems has received a great deal of attention in the pas...
Let S:[0,1]→[0,1] be a chaotic map and let P:L1(0,1)→L1(0,1) be the corresponding Frobenius–Perron o...
Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the correspond...
We construct in this paper the first order and second order piecewise polynomial finite approximatio...
AbstractLet T be a piecewise monotone, expanding, and C2 mapping of the unit interval to itself whic...
We prove that Ulam\u27s piecewise constant approximation algorithm is convergent for computing an ab...
Let S:[0,1]→[0,1] be a nonsingular transformation such that the corresponding Frobenius-Perron opera...
Using matrix norm techniques, we give a unified convergence analysis of a general projection method ...
We develop a projection method for the computation of stationary densities of the Frobenius–Perron o...
We construct in this paper the first order and second order piecewise polynomial finite approximatio...
Let S:[0,1]→[0,1] be a nonsingular transformation and let P:L1(0,1)→L1(0,1) be the corresponding Fro...
We present a general frame of finite element maximum entropy methods for the computation of a statio...
Let S: [0, 1] → [0, 1] be a nonsingular transformation that preserves an absolutely continuous invar...
Let S: [0,1] → [0,1] be a nonsingular transformation such that the corresponding Frobenius–Perron op...
We propose a piecewise linear numerical method based on least squares approximations for computing s...
The statistical study of chaotic dynamical systems has received a great deal of attention in the pas...
Let S:[0,1]→[0,1] be a chaotic map and let P:L1(0,1)→L1(0,1) be the corresponding Frobenius–Perron o...
Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the correspond...
We construct in this paper the first order and second order piecewise polynomial finite approximatio...
AbstractLet T be a piecewise monotone, expanding, and C2 mapping of the unit interval to itself whic...
We prove that Ulam\u27s piecewise constant approximation algorithm is convergent for computing an ab...
Let S:[0,1]→[0,1] be a nonsingular transformation such that the corresponding Frobenius-Perron opera...
Using matrix norm techniques, we give a unified convergence analysis of a general projection method ...
We develop a projection method for the computation of stationary densities of the Frobenius–Perron o...
We construct in this paper the first order and second order piecewise polynomial finite approximatio...
Let S:[0,1]→[0,1] be a nonsingular transformation and let P:L1(0,1)→L1(0,1) be the corresponding Fro...
We present a general frame of finite element maximum entropy methods for the computation of a statio...
Let S: [0, 1] → [0, 1] be a nonsingular transformation that preserves an absolutely continuous invar...