Least squares shadowing sensitivity analysis of a modified Kuramoto-Sivashinsky equation
Author(s)Blonigan, Patrick Joseph; Wang, Qiqi
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Computational methods for sensitivity analysis are invaluable tools for scientists and engineers investigating a wide range of physical phenomena. However, many of these methods fail when applied to chaotic systems, such as the Kuramoto–Sivashinsky (K–S) equation, which models a number of different chaotic systems found in nature. The following paper discusses the application of a new sensitivity analysis method developed by the authors to a modified K–S equation. We find that least squares shadowing sensitivity analysis computes accurate gradients for solutions corresponding to a wide range of system parameters.
DepartmentMassachusetts Institute of Technology. Department of Aeronautics and Astronautics
Chaos, Solitons & Fractals
Blonigan, Patrick J., and Qiqi Wang. "Least squares shadowing sensitivity analysis of a modified Kuramoto–Sivashinsky equation." Chaos, Solitons & Fractals 64 (July 2014), pp.16-25.