Computations on Spherical Domains 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.autSopa, Megan GracethsPlatte, RodrigodgcKostelich, EricctbDepartment of Information SystemsctbSchool of Mathematical and Statistical SciencesctbBarrett, The Honors Collegeenghttps://hdl.handle.net/2286/R.I.4775021 pages115235957671628716197133911msopaIn Copyright2018-05TextFourierSpherical DomainsWindowed FourierApproximationsCubed Spheres