Numerical quadrature of Fourier transform integrals
HTML articles powered by AMS MathViewer
- by H. Hurwitz and P. F. Zweifel PDF
- Math. Comp. 10 (1956), 140-149 Request permission
References
-
L. N. G. Filon, “On a quadrature for trigonometric integrals,” Royal Soc. Edinburgh, Proc., v. 49, 1928, p. 38-17.
- Yudell L. Luke, On the computation of oscillatory integrals, Proc. Cambridge Philos. Soc. 50 (1954), 269–277. MR 62518, DOI 10.1017/S0305004100029327 H. Mineur, Techniques de Calcul Numérique à l’Usage des Mathématiciens, Astronomes, Physiciens et Ingénieurs, Librarie Polytechnique, Paris, 1952; L. V. Spencer, “Penetration and diffusion of X-Rays: calculation of spatial distributions by semi-asymptotic methods,” Phys. Rev., v. 88, 1952, p. 793-803. A. Erdélyi, W. Magnus, F. Oberhettinger, & F. G. Tricomi, Higher Transcendental Functions, v. 2, McGraw-Hill, Inc., New York, 1953. Thomas Jon I’Anson Bromwich, An Introduction to the Theory of Infinite Series, 2nd Ed., MacMillan & Co., Ltd., London, 1947.
- Daniel Shanks, Non-linear transformations of divergent and slowly convergent sequences, J. Math. and Phys. 34 (1955), 1–42. MR 68901, DOI 10.1002/sapm19553411 Konrad Knopp, Theory and Application of Infinite Series, Blackie & Son, Ltd., London, 1928.
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Math. Comp. 10 (1956), 140-149
- MSC: Primary 65.3X
- DOI: https://doi.org/10.1090/S0025-5718-1956-0080994-9
- MathSciNet review: 0080994