In this research field we are developing advanced computational methods centered around efficient solution strategies for partial differential equations. In numerical analysis, we focus on developing ...

Karl Gustafson is the creator of the theory of antieigenvalue analysis. Its applications spread through fields as diverse as numerical analysis, wavelets, statistics, quantum mechanics and finance.

Mathematics of Computation, Vol. 80, No. 275 (JULY 2011), pp. 1525-1556 (32 pages) We investigate Riesz bases of wavelets in Sobolev spaces and their applications to numerical solutions of the ...