Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



On the surface area of the ellipsoid

Author: Stuart R. Keller
Journal: Math. Comp. 33 (1979), 310-314
MSC: Primary 65D30; Secondary 53A05
MathSciNet review: 514826
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: An expression is derived for the surface area of an ellipsoid in the form of a convergent series. The derivation is based upon an n-point Gauss-Chebyshev numerical quadrature. The rate of convergence and accuracy of the formula are demonstrated by computing the surface area of several ellipsoids.

References [Enhancements On Off] (What's this?)

  • Philip J. Davis and Philip Rabinowitz, Numerical integration, Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London, 1967. MR 0211604
  • Standard Mathematical Tables, 14th ed. (S. M. Selby, Editor), The Chemical Rubber Co., Cleveland, Ohio, 1965.

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65D30, 53A05

Retrieve articles in all journals with MSC: 65D30, 53A05

Additional Information

Article copyright: © Copyright 1979 American Mathematical Society