Some extensions of Legendre quadrature
HTML articles powered by AMS MathViewer
- by A. C. R. Newbery PDF
- Math. Comp. 23 (1969), 173-176 Request permission
Abstract:
The $m$-point Gauss-Legendre formula gives an exact expression for the integral of an algebraic polynomial of maximum degree $2m - 1$ in terms of $m$ ordinates. It is shown that analogous formulas can be derived for exponential and trigonometric polynomials.References
- Eugene Isaacson and Herbert Bishop Keller, Analysis of numerical methods, John Wiley & Sons, Inc., New York-London-Sydney, 1966. MR 0201039
- G. Birkhoff, D. M. Young, and E. H. Zarantonello, Numerical methods in conformal mapping, Proceedings of Symposia in Applied Mathematics, Vol. IV, Fluid dynamics, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953, pp. 117–140. MR 0057637
- F. B. Hildebrand, Introduction to numerical analysis, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1956. MR 0075670
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 173-176
- MSC: Primary 65.55
- DOI: https://doi.org/10.1090/S0025-5718-1969-0238492-4
- MathSciNet review: 0238492