Numerical Fourier Analysis
1st Edition
Published on 5. February 2019
XVI, 618 pages
978-3-030-04306-3 (ISBN)
Description
This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods.
It starts with a detailed discussion of classical Fourier theory to enable readers to grasp the construction and analysis of advanced fast Fourier algorithms introduced in the second part, such as nonequispaced and sparse FFTs in higher dimensions.
Lastly, it contains a selection of numerical applications, including recent research results on nonlinear function approximation by exponential sums.
The code of most of the presented algorithms is available in the authors' public domain software packages.
Students and researchers alike benefit from this unified presentation of Fourier theory and corresponding algorithms.More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Primary & secondary/elementary & high school
Product notice
Reflowable
Illustrations
XVI, 618 p. 51 illus., 30 illus. in color.
File size
9,52 MB
ISBN-13
978-3-030-04306-3 (9783030043063)
DOI
10.1007/978-3-030-04306-3
Schweitzer Classification
Other editions
New editions
Gerlind Plonka | Daniel Potts | Gabriele Steidl
Numerical Fourier Analysis
E-Book
11/2023
2nd Edition
Birkhäuser
€171.19
Available for download
Additional editions
Gerlind Plonka | Daniel Potts | Gabriele Steidl
Numerical Fourier Analysis
Book
02/2019
Birkhäuser
€139.09
Article exhausted; check for reprint
Content
Fourier series.- Fourier transforms.- Discrete Fourier transforms.- Multidimensional Fourier methods.- Fast Fourier transforms.- Chebyshev methods and fast DCT algorithms.- Fast Fourier transforms for nonequispaced data.- High dimensional FFT.- Numerical applications of DFT.- Prony method for reconstruction of structured functions.
