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Computations on Spherical Domains

Abstract The main goal of this project is to study approximations of functions on circular and spherical domains using the cubed sphere discretization. On each subdomain, the function is approximated by windowed Fourier expansions. Of particular interest is the dependence of accuracy on the different choices of windows and the size of the overlapping regions. We use Matlab to manipulate each of the variables involved in these computations as well as the overall error, thus enabling us to decide which specific values produce the most accurate results. This work is motivated by problems arising in atmospheric research.
Created Date 2018-05
Contributor Sopa, Megan Grace (Author) / Platte, Rodrigo (Thesis Director) / Kostelich, Eric (Committee Member) / Department of Information Systems / School of Mathematical and Statistical Sciences / Barrett, The Honors College
Subject Fourier / Spherical Domains / Windowed Fourier / Approximations / Cubed Spheres
Series Academic Year 2017-2018
Type Text
Extent 21 pages
Language English
Reuse Permissions All Rights Reserved
Collaborating Institutions Barrett, the Honors College
Additional Formats MODS / OAI Dublin Core / RIS

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