Year: 2020
Author: Tingting Fang, Hongxia Jia, Congming Jin, Jiu Ding
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.160419.030919
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 338–353
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Invariant measure maximum-entropy meshfree method basis function Frobenius- Perron operator.