Certain extended rules for numerical integration

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  • B. L. Raina Regional Engineering College, Kashmir, India
  • Nancy Kaul Amar Singh college, Kashmir, India
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References

Chawla, M. M.; Kaul, Veena, Optimal rules for numerical integration round the unit circle. Nordisk Tidskr. Informationsbehandling (BIT) 13 (1973), pp. 145-152, MR0334461, https://doi.org/10.1007/bf01933486

Fox, L. and Parker, I. B., Chebyshev Polynomial in Numerical analysis, Oxford Mathematical Handbooks, 1972.

Kronrod, Aleksandr Semenovich Nodes and weights of quadrature formulas. Sixteen-place tables. Authorized translation from the Russian Consultants Bureau, New York 1965 vii+143 pp., MR0183116.

Meinardus, Günter Approximation of functions: Theory and numerical methods. Expanded translation of the German edition. Translated by Larry L. Schumaker. Springer Tracts in Natural Philosophy, Vol. 13 Springer-Verlag New York, Inc., New York 1967 viii+198 pp., MR0217482.

Monegato, Giovanni A note on extended Gaussian quadrature rules. Math. Comp. 30 (1976), no. 136, pp. 812-817, MR0440878, https://doi.org/10.1090/s0025-5718-1976-0440878-3

Monegato, Giovanni Some remarks on the construction of extended Gaussian quadrature rules. Math. Comp. 32 (1978), no. 141, pp. 247-252, MR0458810, https://doi.org/10.1090/s0025-5718-1978-0458810-7

Monegato, Giovanni An overview of results and questions related to Kronrod schemes. Numerische Integration (Tagung, Math. Forschungsinst., Oberwolfach, 1978), pp. 231-240, Internat. Ser. Numer. Math., 45, Birkhäuser, Basel-Boston, Mass., 1979, MR0561296, https://doi.org/10.1007/978-3-0348-6288-2_18

Pattrerson, T.N.L., The optimum addition of points to quadrature formulae, Math. Camp., 22, (1967), pp. 847-856, https://doi.org/10.1090/s0025-5718-68-99866-9

Piessens, Robert; Branders, Maria A note on the optimal addition of abscissas to quadrature formulas of Gauss and Lobatto type. Math. Comp. 28 (1974), 135-139; supplement, ibid. 28 (1974), pp. 344-347, MR0343552.

Rabinowitz, Philip The exact degree of precision of generalized Gauss-Kronrod integration rules. Math. Comp. 35 (1980), no. 152, pp. 1275-1283, MR0583504, https://doi.org/10.1090/s0025-5718-1980-0583504-6

Raina, B. L.; Kaul, N. A class of optimal quadrature formulae. IMA J. Numer. Anal. 3 (1983), no. 1, pp. 119-125, MR0705085, https://doi.org/10.1093/imanum/3.1.119

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Published

1987-08-01

How to Cite

Raina, B. L., & Kaul, N. (1987). Certain extended rules for numerical integration. Anal. Numér. Théor. Approx., 16(2), 159–166. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1987-vol16-no2-art9

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Vol. 16 No. 2 (1987)

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