@Article{EAJAM-10-338, author = {Fang , TingtingJia , HongxiaJin , Congming and Ding , Jiu}, 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 = {
Let $S$ : $X$ → $X$ be a nonsingular transformation such that the corresponding Frobenius-Perron operator $P$S : $L$1 ($X$) → $L$1 ($X$) has a stationary density $f$∗. We propose a maximum-entropy method based on a meshfree approach to the numerical recovery of $f$∗. 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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.160419.030919 }, url = {http://global-sci.org/intro/article_detail/eajam/16130.html} }