Computation of Fourier transform integrals using Chebyshev series expansions

Robert Piessens, Maria Branders

Type: Article

Publication Date: 1984-06-01

Citations: 23

DOI: https://doi.org/10.1007/bf02253692

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+	On Fast Implementation of Clenshaw-Curtis and Fejér-type Quadrature Rules	2013	Shuhaung Xiang Guo He Haiyong Wang
+	On the computation of Fourier transforms of singular functions	1992	Robert Piessens Maria Branders
+	A well-conditioned Levin method for calculation of highly oscillatory integrals and its application	2018	Junjie Ma Huilan Liu
+ PDF Chat	Spectral Levin-type methods for calculation of generalized Fourier transforms	2019	Junjie Ma Shiyi Duan
+	Computation of Fourier and Laplace transforms of singular functions using modified moments	1986	Robert Piessens Maria Branders
+ PDF Chat	Modified Filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator	2021	Hassan Majidian
+	Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals	2011	Vı́ctor Domínguez Ivan G. Graham V. P. Smyshlyaev
+	Filon–Clenshaw–Curtis formulas for highly oscillatory integrals in the presence of stationary points	2017	Hassan Majidian
+	Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals	2018	Hongchao Kang
+	Modified Clenshaw-Curtis Integration and Applications to Numerical Computation of Integral Transforms	1987	R. Piessens

Works Cited by This (13)

Action	Title	Year	Authors
+ PDF Chat	Errata: Milton Abramowitz and Irene A. Stegun, editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U.S. Government Printing Office, Washington, D.C., 1994, and all known reprints	1972	K. S. Kölbig F. Schäff
+	Asymptotic Expansions of Integrals	1975	Norman Bleistein Richard A. Handelsman
+	Vorlesungen über Orthogonalreihen	1970	Francesco G. Tricomi
+	Quadpack: A Subroutine Package for Automatic Integration	2011	Robert Piessens Elise de Doncker-Kapenga Christoph Überhuber David K. Kahaner
+	A method for numerical integration on an automatic computer	1960	C. W. Clenshaw A. R. Curtis
+	F. G. Tricomi, Vorlesungen über Orthogonalreihen. (Grundlehren der mathematischen Wissenschaft Bd. 76) VII + 264 S. m. 13 Abb. Berlin/Göttingen/Heidelberg 1955. Springer‐Verlag. Preis geh. 34, — DM., geb. 37,60 DM	1955	M. Landsberg
+	The numerical solution of linear recurrence relations	1968	J. Oliver
+ PDF Chat	Algorithm 424: Clenshaw-Curtis quadrature [D1]	1972	W. Morven Gentleman
+	An extension of Clenshaw-Curtis quadrature	1975	Maria Branders Robert Piessens
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie