國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Numerical Fourier analysis

Plonka, Gerlind.

Numerical Fourier analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Numerical Fourier analysisby Gerlind Plonka ... [et al.].
其他作者:	Plonka, Gerlind.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xvi, 618 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Fourier analysis.
電子資源:	https://doi.org/10.1007/978-3-030-04306-3
ISBN:	9783030043063$q(electronic bk.)

Numerical Fourier analysis
Numerical Fourier analysis[electronic resource] /by Gerlind Plonka ... [et al.]. - Cham :Springer International Publishing :2018. - xvi, 618 p. :ill. (some col.), digital ;24 cm. - Applied and numerical harmonic analysis,2296-5009. - Applied and numerical harmonic analysis..

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.

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.

ISBN: 9783030043063$q(electronic bk.)

Standard No.: 10.1007/978-3-030-04306-3doiSubjects--Topical Terms:

184626
Fourier analysis.

LC Class. No.: QA403.5

Dewey Class. No.: 515.2433

Numerical Fourier analysis
LDR:02161nmm a2200337 a 4500 001 548310
003 DE-He213
005 20190515155709.0
006 m d
007 cr nn 008maaau
008 190729s2018 gw s 0 eng d
020 $a 9783030043063$q(electronic bk.)
020 $a 9783030043056$q(paper)
024 7 $a 10.1007/978-3-030-04306-3 $2 doi
035 $a 978-3-030-04306-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA403.5
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.2433 $2 23
090 $a QA403.5 $b .N971 2018
245 0 0 $a Numerical Fourier analysis $h [electronic resource] / $c by Gerlind Plonka ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2018.
300 $a xvi, 618 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Applied and numerical harmonic analysis, $x 2296-5009
505 0 $a 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.
520 $a 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.
650 0 $a Fourier analysis. $3 184626
650 1 4 $a Abstract Harmonic Analysis. $3 274074
650 2 4 $a Numerical Analysis. $3 275681
650 2 4 $a Information and Communication, Circuits. $3 276027
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
700 1 $a Plonka, Gerlind. $3 827632
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Applied and numerical harmonic analysis. $3 558836
856 4 0 $u https://doi.org/10.1007/978-3-030-04306-3
950 $a Mathematics and Statistics (Springer-11649)