Numerical Integration of functions originating from quantum mechanics
(English)Report (Other academic)
Applications in quantum physics commonly involve large batches of integrals of smooth but veryoscillatory functions. The purpose of this work is to benchmark and compare different numerical algorithms for evaluating such integrals. The routines studied include: two from the QUADPACK package based on Gauss-Kronrod quadrature; one routine based on Patterson’s improvements of Gauss-Kronrod quadrature; and two routines that use a non-standard algorithm of applying quadrature-like rules of unrestricted order. The last algorithm has been seen in previous works,but is not in wide-spread use. The present work includes optimized implementations of this algorithm for both serial and parallel computation.
Place, publisher, year, edition, pages
IdentifiersURN: urn:nbn:se:kth:diva-6789OAI: oai:DiVA.org:kth-6789DiVA: diva2:11598
QC 201008312005-09-232005-09-232010-08-31Bibliographically approved