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Mathematics of Computation

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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
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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?)

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

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1979-0514826-4
Article copyright: © Copyright 1979 American Mathematical Society