Fast and approximate computation of Laplace and Fourier transforms
Ines Melzer
ISBN 978-3-8325-4226-9
125 Seiten, Erscheinungsjahr: 2016
Preis: 34.00 €
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.
Inhaltsverzeichnis (PDF)
Keywords:
- fast Laplace transform
- fast Fourier transform
- nonharmonic Fourier series
- real and complex exponential sums
- trigonometric approximation
KAUFOPTIONEN
|
| 34.00 € |
|
| auf Lager |
| Versandkostenfrei innerhalb Deutschlands |
Wollen auch Sie Ihre Dissertation veröffentlichen?
MENÜ
