@Article{EAJAM-10-2,
author = {Tingting, Fang and Jia, Hongxia and Jin, Congming and Jiu, Ding},
title = {A Maximum-Entropy Meshfree Method for Computation of Invariant Measures},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {2},
pages = {338--353},
abstract = {<p style="text-align: justify;">Let $S$ : $X$ → $X$ be a nonsingular transformation such that the corresponding Frobenius-Perron operator $P$<sub>S&nbsp;</sub>: $L$<sup>1</sup> ($X$) → $L$<sup>1</sup> ($X$) has a stationary density $f$<sup>∗</sup>. We propose a maximum-entropy method based on a meshfree approach to the numerical recovery of $f$<sup>∗</sup>. Numerical experiments show that this approach is more accurate than the maximum-entropy method based on piecewise linear functions, provided that the moments involved are known. Moreover, it has a smaller computational cost than the method mentioned.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.160419.030919},
url = {https://global-sci.com/article/82553/a-maximum-entropy-meshfree-method-for-computation-of-invariant-measures}
}