DC Element | Wert | Sprache |
dc.contributor.author | Kunis, Stefan | |
dc.contributor.author | Melzer, Ines | |
dc.date.accessioned | 2021-12-23T16:02:22Z | - |
dc.date.available | 2021-12-23T16:02:22Z | - |
dc.date.issued | 2017 | |
dc.identifier.issn | 10689613 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/5373 | - |
dc.description.abstract | Recently, the butterfly approximation scheme and hierarchical approximations have been proposed for the efficient computation of integral transforms with oscillatory or asymptotically smooth kernels. Combining both approaches, we propose a certain fast Fourier-Laplace transform, which in particular allows for the fast evaluation of polynomials at nodes in the complex unit disk. All theoretical results are illustrated by numerical experiments. | |
dc.description.sponsorship | DFG German Research FoundationGerman Research Foundation (DFG) [KU 2557/1-1]; We thank the referees for their valuable suggestions and gratefully acknowledge support by the DFG German Research Foundation within project KU 2557/1-1. | |
dc.language.iso | en | |
dc.publisher | KENT STATE UNIVERSITY | |
dc.relation.ispartof | ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | |
dc.subject | APPROXIMATION | |
dc.subject | BUTTERFLY ALGORITHM | |
dc.subject | fast Fourier transform | |
dc.subject | hierarchical matrices | |
dc.subject | integral transforms | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.subject | MATRICES | |
dc.subject | nonharmonic Fourier series | |
dc.subject | SPARSE FOURIER-TRANSFORM | |
dc.subject | trigonometric approximation | |
dc.title | FAST EVALUATION OF REAL AND COMPLEX EXPONENTIAL SUMS | |
dc.type | journal article | |
dc.identifier.isi | ISI:000424522000002 | |
dc.description.volume | 46 | |
dc.description.startpage | 23 | |
dc.description.endpage | 35 | |
dc.publisher.place | ETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, OH 44242-0001 USA | |
dcterms.isPartOf.abbreviation | Electron. Trans. Numer. Anal. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | KuSt212 | - |