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01574 am a22002293u 4500 |
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103866 |
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|a Blonigan, Patrick Joseph
|e author
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|a Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
|e contributor
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|a Blonigan, Patrick Joseph
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|a Wang, Qiqi
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|a Wang, Qiqi
|e author
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|a Least squares shadowing sensitivity analysis of a modified Kuramoto-Sivashinsky equation
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|b Elsevier,
|c 2016-08-08T19:56:01Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/103866
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|a 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.
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|a United States. Air Force Office of Scientific Research (AFSOR Award F11B-T06-0007)
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|a United States. National Aeronautics and Space Administration (NASA Award NNH11ZEA001N)
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|a United States. Department of Defense (NDSEG fellowship)
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|a en_US
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|a Article
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|t Chaos, Solitons & Fractals
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