Some formulae for numerical differentiation and integration of analytic functions

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  • Dorel Homentcovschi Central Institute of Mathematics, Bucharest, Romania
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References

Chawla, M. M., Jain, M. K., Error estimates for Gauss quadrature formulas for analytic functions. Math. Comp. 22 1968 82-90, MR0223093, https://doi.org/10.1090/s0025-5718-1968-0223093-3

Conte, S. D., Elementary numerical analysis: An algorithmic approach. McGraw-Hill Book Co., New York-Toronto, Ont.-London 1965 x+278 pp., MR0202267.

Davis, Philip J., Rabinowitz, Philip, Numerical integration. Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London 1967 ix+230 pp., MR0211604. (MathSciNet)

Hunter, D. B., Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals. Numer. Math. 19 (1972), 419-424, MR0319355, https://doi.org/10.1007/bf01404924

Kutt, H. R., The numerical evaluation of principal value integrals by finite-part integration. Numer. Math. 24 (1975), no. 3, 205-210, MR0378366, https://doi.org/10.1007/bf01436592

Lyness, J. N., Differentiation formulas for analytic functions. Math. Comp. 22 1968 352-362, MR0230468, https://doi.org/10.1090/s0025-5718-1968-0230468-5

Paget, D. F., Elliott, David, An algorithm for the numerical evaluation of certain Cauchy principal value integrals. Numer. Math. 19 (1972), 373-385, MR0366004, https://doi.org/10.1007/bf01404920

Piessens, Robert, Numerical evaluation of Cauchy principal values of integrals. Nordisk Tidskr. Informationsbehandling (BIT) 10 1970 476-480, MR0281348, https://doi.org/10.1007/bf01935567

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Published

1981-02-01

How to Cite

Homentcovschi, D. (1981). Some formulae for numerical differentiation and integration of analytic functions. Anal. Numér. Théor. Approx., 10(1), 23–31. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1981-vol10-no1-art4

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Vol. 10 No. 1 (1981)

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Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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