Convergence of the Least Squares Shadowing Method for Computing Derivative of Ergodic Averages

For a parameterized hyperbolic system $u_{i+1} = f(u_i,s)$, the derivative of an ergodic average $\langle J\rangle = \lim_{n\rightarrow\infty} \frac1n \sum_1^n J(u_i,s)$ to the parameter $s$ can be computed via the least squares shadowing method. This method solves a constrained least squares proble...

詳細記述

書誌詳細
第一著者: Wang, Qiqi
その他の著者: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
フォーマット: 論文
言語:en_US
出版事項: Society for Industrial and Applied Mathematics 2014
オンライン・アクセス:http://hdl.handle.net/1721.1/88173
https://orcid.org/0000-0001-9669-2563