2023-05-28T02:56:40Zhttps://keep.lib.asu.edu/oai/requestoai:keep.lib.asu.edu:node-1339112021-08-11T21:09:57Zoai_pmh:alloai_pmh:repo_items133911
https://hdl.handle.net/2286/R.I.47750
http://rightsstatements.org/vocab/InC/1.0/
2018-05
21 pages
eng
Sopa, Megan Grace
Platte, Rodrigo
Kostelich, Eric
Department of Information Systems
School of Mathematical and Statistical Sciences
Barrett, The Honors College
Text
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.
Fourier
Spherical Domains
Windowed Fourier
Approximations
Cubed Spheres
Computations on Spherical Domains