Numerical quadrature and asymptotic expansions
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- by J. N. Lyness and B. W. Ninham PDF
- Math. Comp. 21 (1967), 162-178 Request permission
References
- M. J. Lighthill, Introduction to Fourier analysis and generalised functions, Cambridge Monographs on Mechanics and Applied Mathematics, Cambridge University Press, New York, 1958. MR 0092119
- E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1996. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions; Reprint of the fourth (1927) edition. MR 1424469, DOI 10.1017/CBO9780511608759 A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Higher Transcendental Functions, Vol. 1, (Calif. Inst. Tech. Bateman Manuscript Project), Chapter 1, McGraw-Hill, New York, 1953, MR 15, 419. G. N. Watson, Theory of Bessel Functions, Cambridge Univ. Press, New York, 1958, p. 419.
- Israel Navot, An extension of the Euler-Maclaurin summation formula to functions with a branch singularity, J. Math. and Phys. 40 (1961), 271–276. MR 140876 I. Navot, “A further extension of the Euler-Maclaurin summation formula,” J. Math, and Phys., v. 41, 1962, pp. 155–163.
- Israel Navot, The Euler-Maclaurin functional for functions with a quasi-step discontinuity, Math. Comp. 17 (1963), 337–345. MR 155429, DOI 10.1090/S0025-5718-1963-0155429-1
- P. C. Waterman, J. M. Yos, and R. J. Abodeely, Numerical integration of non-analytic functions, J. Math. and Phys. 43 (1964), 45–50. MR 215529
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Math. Comp. 21 (1967), 162-178
- MSC: Primary 65.55
- DOI: https://doi.org/10.1090/S0025-5718-1967-0225488-X
- MathSciNet review: 0225488