Global ETD Search
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Showing 1 to 3 of 3 for “"Parametric derivatives"”.
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An efficient algorithm for sensitivity analysis of chaotic systems
… astrophysics. But, an efficient computation of parametric derivatives of their statistics or long-term averages, also known as linear response, is an open problem. The difficulty is due to an inherent feature of chaos: an exponential growth over time of infinitesimal perturbations, which renders …
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Leveraging the Linear Response Theory in Sensitivity Analysis of Chaotic Dynamical Systems and Turbulent Flows
… LRT is particularly useful in approximating parametric derivatives of observables induced by a dynamical system. These derivatives, usually referred to as sensitivities, are critical components of optimization, control, numerical error estimation, risk assessment and other advanced …
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Spectral problems on triangles and disks: Extremizers and ground states
In this dissertation we study how the energy levels of the Laplacian depend upon the shape of the domain, and identify the ground state energy level of the magnetic Laplacian on the disk. Although we consider these different questions we can find some kind of unity in the sense that we are looking …