Simplified Least Squares Shadowing sensitivity analysis for chaotic ODEs and PDEs

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 e...

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Bibliographic Details
Main Authors: Chater, Mario (Contributor), Ni, Angxiu (Contributor), Wang, Qiqi (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics (Contributor)
Format: Article
Language:English
Published: Elsevier BV, 2019-02-13T18:51:01Z.
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Online Access:Get fulltext
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100 1 0 |a Chater, Mario  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Aeronautics and Astronautics  |e contributor 
100 1 0 |a Chater, Mario  |e contributor 
100 1 0 |a Ni, Angxiu  |e contributor 
100 1 0 |a Wang, Qiqi  |e contributor 
700 1 0 |a Ni, Angxiu  |e author 
700 1 0 |a Wang, Qiqi  |e author 
245 0 0 |a Simplified Least Squares Shadowing sensitivity analysis for chaotic ODEs and PDEs 
260 |b Elsevier BV,   |c 2019-02-13T18:51:01Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/120359 
520 |a 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 
520 |a United States. Air Force. Office of Scientific Research (Award 14RT0138) 
520 |a United States. Air Force. Office of Scientific Research (Award 1F11B-T06-0007) 
520 |a United States. National Aeronautics and Space Administration (Award NNH11ZEA001N) 
655 7 |a Article 
773 |t Journal of Computational Physics