Spherical and polar geometries are ubiquitous in computational science and engineering, arising in, for example, weather and climate forecasting, geophysics and astrophysics. Central to many of these applications is the task of developing efficient and accurate approximations of functions defined on the surface of the unit sphere or on the disk. Wright presented a new low rank method for this task by combining an iterative, structure-preserving variant of Gaussian elimination together with the classic double Fourier sphere method.
Associate professors Donna Calhoun and Leming Qu, and Ph.D. student Kathlyn Drake also attended the conference. Calhoun presented her work on “Simulation of volcanic ash transport using parallel, adaptive Ash3d.” Qu presented his work on “Copula density estimation by Lagrange interpolation at the Padua Points.” Drake presented her work on “a stable algorithm for divergence and curl-free radial basis functions in the flat limit.”