Seminario CUICBAS. Por John P. Boyd, University of Michigan. Viernes, 22 de octubre, 2010. Auditorio de la Facultad de Ciencias. Abstract: Global spectral methods have been successful in many branches of science and engineering. The global weather forecasting model of the United States, for example, is a spherical harmonic spectral model in latitude and longitude. However, single domain spectral methods have been almost exclusively restricted to domains which are a tensor product (direct product) of line segments and circles. This allows the spectral basis functions to be the product of one-dimensional factors and the computational grid to be a tensor product of one-dimensional grids. Through partial summation, multidimensional sums and interpolations can be performed as a sequence of one-dimensional sums in interpolations had a huge saving in cost relative to the expense when there is no tensor product structure to be exploited. Furthermore, the multidimensional tensor product method...
