CENTER FOR COMPUTATIONAL MATHEMATICS COLLOQUIUM

                  UNIVERSITY OF COLORADO AT DENVER



TITLE:   Spectrally Accurate Fast Multipole Algorithms for 
         Differential Operators on the Sphere

 

SPEAKER: Ruediger Jakob-Chien, Computer Science & Engineering, CU-Denver
         

DATE:    Monday, December 2, 1996

PLACE:   Math Conference Room - Suite 540 
         UCD Building, 1250 14th St., Denver

TIME:    noon (Refreshments served at 11:45 am)



ABSTRACT


The efficient and accurate computation of differential operators
(gradient, curl, divergence, Laplacian) on the sphere is of
great importance for the numerical solution of PDEs, e.g. in 
numerical weather prediction. Several spectrally accurate algorithms 
based on the fast Fourier transform and the fast multipole method 
are described which reduce the cost of the conventional spherical
harmonic transform algorithm. The new algorithms use the modified 
Robert functions as a basis and exploit the Christoffel-Darboux
formula for orthogonal functions.