@Article{AAMM-3-204,
author = {Ding , Jiu and Rhee , Noah H.},
title = {A Maximum Entropy Method Based on Orthogonal Polynomials for Frobenius-Perron Operators},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2011},
volume = {3},
number = {2},
pages = {204--218},
abstract = {<p style="text-align: justify;">Let $S$: [0, 1]→[0, 1] be a chaotic map and let $f^∗$ be a stationary density of
the Frobenius-Perron operator $P_S$: $L^1$→$L^1$ 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.&nbsp;</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.10-m1022},
url = {http://global-sci.org/intro/article_detail/aamm/165.html}
}