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.€139.09
Table des matières
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.
Langue Anglais ● Format PDF ● Pages 618 ● ISBN 9783030043063 ● Taille du fichier 9.7 MB ● Maison d’édition Springer International Publishing ● Lieu Cham ● Pays CH ● Publié 2019 ● Téléchargeable 24 mois ● Devise EUR ● ID 6872053 ● Protection contre la copie DRM sociale
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