Abscissas and weights for Lobatto quadrature of high order
HTML articles powered by AMS MathViewer
- by Philip Rabinowitz PDF
- Math. Comp. 14 (1960), 47-52 Request permission
References
-
M. W. Wilkes, D. J. Wheeler, & S. Gill, Programs for an Electronic Digital Computer, 2nd Edition, Addison-Wesley Publishing Co., Inc., Reading, Massachusetts, 1957, p. 86.
W. L. Frank, “Mathematical subroutines for the UNIVAC scientific computer,” Computers and Automation, v. 6, No. 9, 1957, p. 10-13.
- I. M. Longman, Note on a method for computing infinite integrals of oscillatory functions, Proc. Cambridge Philos. Soc. 52 (1956), 764–768. MR 82193 R. Lobatto, Lessen over de Integraal-Rekening, The Hague, 1852, p. 207-210.
- F. B. Hildebrand, Introduction to numerical analysis, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1956. MR 0075670
- James B. Scarborough, Numerical Mathematical Analysis, Johns Hopkins Press, Baltimore, Md.; Oxford University Press, London, 1950. 2d ed. MR 0039361 R. Radau, “Étude sur les formules d’approximation qui servent à calculer la valeur d’une integrale definie,” J. Math. Pures Appl., v. 6, No. 3, 1880, p. 283.
- Zdeněk Kopal, Numerical analysis. With emphasis on the application of numerical techniques to problems of infinitesimal calculus in single variable, John Wiley & Sons, Inc., New York, 1955. MR 0077213 A. Erdelyi, et al., Higher Transcendental Functions, v. 2, McGraw-Hill Book Co., New York, 1953, p. 179.
- P. Davis and P. Rabinowitz, Abscissas and weights for Gaussian quadratures of high order, J. Res. Nat. Bur. Standards 56 (1956), 35–37. MR 0076463, DOI 10.6028/jres.056.005 P. Davis & P. Rabinowitz, “Additional abscissas and weights for Gaussian quadratures of high order: values for n = 64, 80 and 96,” NBS, Jn. of Research, v. 60, 1958, p. 613.
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Math. Comp. 14 (1960), 47-52
- MSC: Primary 65.00
- DOI: https://doi.org/10.1090/S0025-5718-1960-0110194-6
- MathSciNet review: 0110194