Simplified Least Squares Shadowing sensitivity analysis for chaotic ODEs and PDEs

JOURNAL OF COMPUTATIONAL PHYSICS

卷:329

Article

Chater, Mario¹  Ni, Angxiu¹  Wang, Qiqi¹ 

[1] MIT, Aeronaut & Astronaut, 77 Massachusetts Ave, Cambridge, MA 02139 USA

关键词: Sensitivity analysis;    Linear response;    Adjoint equation;    Unsteady adjoint;    Chaos;    Least squares shadowing;   

DOI  :  10.1016/j.jcp.2016.10.035

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free