Sulla convergenza di alcune formule di quadratura per il calcolo di integrali a valor principale secondo Cauchy

On the convergence of some quadrature formulas for the computation of Cauchy principal value integrals

Authors

  • Giuliana Criscuolo Instituto per Applicazioni della Matematica, Napoli, Italy
  • Giuseppe Mastroianni Universita di Napoli, Italy
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References

Chawla, M. M.; Ramakrishnan, T. R., Modified Gauss-Jacobi quadrature formulas for the numerical evaluation of Cauchy type singular integrals. Nordisk Tidskr. Informationsbehandling (BIT) 14 (1974), 14-21, MR0331729, https://doi.org/10.1007/bf01933113

Dzjadik, V. K.(2-AOSUK), Ivanov, V. V.(2-AOSUK-B), On asymptotics and estimates for the uniform norms of the Lagrange interpolation polynomials corresponding to the Chebyshev nodal points. (Russian summary) Anal. Math. 9 (1983), no. 2, 85-97, MR0720078, https://doi.org/10.1007/bf01982005

Elliott, David; Paget, D. F., "On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals" (Numer. Math. 23 (1975), 311-319): an addendum. Numer. Math. 25 (1975/76), no. 3, 287-289, MR0411131, https://doi.org/10.1007/bf01399417

Elliott, David, Paget, D. F., "On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals" (Numer. Math. 23 (1975), 311--319): an addendum. Numer. Math. 25 (1975/76), no. 3, 287-289, MR0411131, https://doi.org/10.1007/bf01399417

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

Ioakimidis, N. I., A direct method for the construction of Gaussian quadrature rules for Cauchy type and finite-part integrals. Anal. Numér. Théor. Approx. 12 (1983), no. 2, 131-140, MR0743131.

Kalandija, A. I., On a direct method of solution of an equation in wing theory with an application to the theory of elasticity. (Russian) Mat. Sb. N.S. 42 (84) 1957 249-272, MR0108079.

Gonska, Heinz H., On approximation by linear operators: improved estimates. Anal. Numér. Théor. Approx. 14 (1985), no. 1, 7-32, MR0830510.

Mastroianni, G., Occorsio, M. R., An algorithm for the numerical evaluation of a Cauchy principal value integral. Ricerche Mat. 33 (1984), no. 1, 3-18, MR0795152.

Mastroianni G., Occorsio M.R., On the numerical evaluation of a Cauchy principal value integral (1984 - to appear).

Monegato, G., The numerical evaluation of one-dimensional Cauchy principal value integrals. Computing 29 (1982), no. 4, 337-354, MR0684742, https://doi.org/10.1007/bf02246760

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

Rabinowitz, Philip, Gaussian integration in the presence of a singularity. SIAM J. Numer. Anal. 4 1967 191-201, MR0213016, https://doi.org/10.1137/0704018

Sikkema, P. C., Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen. (German) Numer. Math. 3 1961 107-116, MR0123128, https://doi.org/10.1007/bf01386008

Tsamasphyros, G. J.; Theocaris, P. S., On the convergence of a Gauss quadrature rule for evaluation of Cauchy type singular integrals. Nordisk Tidskr. Informationsbehandling (BIT) 17 (1977), no. 4, 458-464, MR0468120, https://doi.org/10.1007/bf01933455

Tsamasphyros, G., Theocaris, P. S., On the convergence of some quadrature rules for Cauchy principal-value and finite-part integrals. Computing 31 (1983), no. 2, 105-114, MR0718908, https://doi.org/10.1007/bf02259907

Szegő, Gábor, Orthogonal polynomials. Fourth edition. American Mathematical Society, Colloquium Publications, Vol. XXIII. American Mathematical Society, Providence, R.I., 1975. xiii+432 pp., MR0372517.

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Published

1985-08-01

How to Cite

Criscuolo, G., & Mastroianni, G. (1985). Sulla convergenza di alcune formule di quadratura per il calcolo di integrali a valor principale secondo Cauchy: On the convergence of some quadrature formulas for the computation of Cauchy principal value integrals. Anal. Numér. Théor. Approx., 14(2), 109–116. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1985-vol14-no2-art2

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Vol. 14 No. 2 (1985)

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