Numerical quadrature methods of analytic functions

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  • Dorel Homentcovschi Polytechnic Institute of Bucharest, Faculty of Electrotechnics, Bucharest, Romania
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References

Abramowitz, Milton On the practical evaluation of integrals. J. Soc. Indust. Appl. Math. 2, (1954). 20--35, MR0062517.

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

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Hamming, R. W., Numerical methods for scientists and engineers. Second edition. International Series in Pure and Applied Mathematics. McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973. x+721 pp., MR0351023.

Henrici, Peter, Applied and computational complex analysis. Volume 1: Power series---integration---conformal mapping---location of zeros. Pure and Applied Mathematics. Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974. xv+682 pp., MR0372162.

Lyness, J. N., Quadrature methods based on complex function values. Math. Comp. 23 1969 601--619, MR0247771.

Smith, W. E.; Lyness, J. N., Applications of Hilbert transform theory to numerical quadrature. Math. Comp. 23 1969 231--252, MR0251906.

Takahasi, Hidetosi, Mori, Masatake, Quadrature formulas obtained by variable transformation. Numer. Math. 21 (1973/74), 206--219, MR0331738.

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Published

1978-08-01

How to Cite

Homentcovschi, D. (1978). Numerical quadrature methods of analytic functions. Anal. Numér. Théor. Approx., 7(2), 157–167. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1978-vol7-no2-art5

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