De-Sinc numerical methods

Abstract

The present talk gives a survey of the DE-Sinc numerical methods (= the Sinc numerical methods, which have been developed by Stenger and his school, incorporated with double-exponential transformations). The DE-Sinc numerical methods have a feature that they enjoys the convergence rate O(exp(-κ'n/log n)) with some κ'>0 even if the function, or the solution to be approximated has end-point singularity, where n is the number of nodes or bases used in the methods.