Simplified Least Squares Shadowing sensitivity analysis for chaotic ODEs and PDEs
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Wang_Simplified Least Squares.pdf
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400.01 KB
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Author(s)
Chater, Mario
Ni, Angxiu
Wang, Qiqi
Date Issued
October 2016
Journal
Journal of Computational Physics
Publisher
Elsevier BV
Citation
Chater, Mario, Angxiu Ni, and Qiqi Wang. “Simplified Least Squares Shadowing Sensitivity Analysis for Chaotic ODEs and PDEs.” Journal of Computational Physics 329 (January 2017): 126–140.
Version
Author's final manuscript
Abstract
This paper develops a variant of the Least Squares Shadowing (LSS) method, which has successfully computed the derivative for several chaotic ODEs and PDEs. The development in this paper aims to simplify Least Squares Shadowing method by improving how time dilation is treated. Instead of adding an explicit time dilation term as in the original method, the new variant uses windowing, which can be more efficient and simpler to implement, especially for PDEs. Keywords: Sensitivity analysis, Linear response, Adjoint equation, Unsteady adjoint, Chaos, Least squares shadowing
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.JCP.2016.10.035
