Volume 3, Issue 2
A Maximum Entropy Method Based on Orthogonal Polynomials for Frobenius-Perron Operators

Jiu Ding and Noah H. Rhee

10.4208/aamm.10-m1022

Adv. Appl. Math. Mech., 3 (2011), pp. 204-218.

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  • Abstract

Let S: [0, 1]→[0, 1] be a chaotic map and let f be a stationary density of the Frobenius-Perron operator PS: L1→L1 associated with S. We develop a numerical algorithm for approximating f, using the maximum entropy approach to an under-determined moment problem and the Chebyshev polynomials for the stability consideration. Numerical experiments show considerable improvements to both the original maximum entropy method and the discrete maximum entropy method. AMS subject classif

  • History

Published online: 2011-03

  • AMS Subject Headings

41A35, 65D07, 65J10

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