Fast and approximate computation of Laplace and Fourier transforms
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016040414362
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016040414362
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| DC Element | Wert | Sprache |
|---|---|---|
| dc.creator | Melzer, Ines | |
| dc.date.accessioned | 2016-04-04T08:42:54Z | |
| dc.date.available | 2016-04-04T08:42:54Z | |
| dc.date.issued | 2016-04-04T08:42:54Z | |
| dc.identifier.citation | Dissertation. Universität Osnabrück, 2016. Berlin, Logos Verlag, 2016 | |
| dc.identifier.isbn | 978-3-8325-4226-9 | |
| dc.identifier.uri | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016040414362 | - |
| dc.description.abstract | In this thesis, we treat the computation of transforms with asymptotically smooth and oscillatory kernels. We introduce the discrete Laplace transform in a modern form including a generalization to more general kernel functions. These more general kernels lead to specific function transforms. Moreover, we treat the butterfly fast Fourier transform. Based on a local error analysis, we develop a rigorous error analysis for the whole butterfly scheme. In the final part of the thesis, the Laplace and Fourier transform are combined to a fast Fourier transform for nonequispaced complex evaluation nodes. All theoretical results on accuracy and computational complexity are illustrated by numerical experiments. | eng |
| dc.relation | http://www.logos-verlag.de/cgi-bin/buch/isbn/4226 | |
| dc.rights | Namensnennung-NichtKommerziell-KeineBearbeitung 3.0 Unported | - |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | - |
| dc.subject | fast Laplace transform | eng |
| dc.subject | fast Fourier transform | eng |
| dc.subject | nonharmonic Fourier series | eng |
| dc.subject | real and complex exponential sums | eng |
| dc.subject | trigonometric approximation | eng |
| dc.subject.ddc | 510 - Mathematik | |
| dc.title | Fast and approximate computation of Laplace and Fourier transforms | eng |
| dc.title.alternative | Schnelle und approximative Berechnung von Laplace- und Fourier-Transformationen | ger |
| dc.type | Dissertation oder Habilitation [doctoralThesis] | - |
| thesis.location | Osnabrück | - |
| thesis.institution | Universität | - |
| thesis.type | Dissertation [thesis.doctoral] | - |
| thesis.date | 2016 | - |
| dc.subject.msc | 42-04 - Explicit machine computation and programs | |
| dc.subject.msc | 65-02 - Research exposition | |
| vCard.ORG | FB6 | |
| Enthalten in den Sammlungen: | FB06 - Hochschulschriften | |
Dateien zu dieser Ressource:
| Datei | Beschreibung | Größe | Format | |
|---|---|---|---|---|
| dissertation.pdf | Dissertation | 2,32 MB | Adobe PDF | dissertation.pdf  Öffnen/Anzeigen |
Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht:
Lizenz von Creative Commons
