Integration formulae involving derivatives
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- by T. N. L. Patterson PDF
- Math. Comp. 23 (1969), 411-412 Request permission
Corrigendum: Math. Comp. 24 (1970), 243.
Abstract:
A method, developed by Hammer and Wicke, for deriving high precision integration formulae involving derivatives is modified. It is shown how such formulae may be simply derived in terms of well-known polynomials.References
- A. H. Stroud and D. D. Stancu, Quadrature formulas with multiple Gaussian nodes, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal. 2 (1965), 129–143. MR 179940
- Preston C. Hammer and Howard H. Wicke, Quadrature formulas involving derivatives of the integrand, Math. Comput. 14 (1960), 3–7. MR 0110191, DOI 10.1090/S0025-5718-1960-0110191-0
- George Struble, Tables for use in quadrature formulas involving derivatives of the integrand, Math. Comput. 14 (1960), 8–12. MR 0110192, DOI 10.1090/S0025-5718-1960-0110192-2
- Vladimir Ivanovich Krylov, Approximate calculation of integrals, The Macmillan Company, New York-London, 1962, 1962. Translated by Arthur H. Stroud. MR 0144464
- A. H. Stroud and Don Secrest, Gaussian quadrature formulas, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR 0202312
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 411-412
- MSC: Primary 65.55
- DOI: https://doi.org/10.1090/S0025-5718-1969-0242371-6
- MathSciNet review: 0242371