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Mathematics of Computation
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
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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.


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DOI: http://dx.doi.org/10.1090/S0025-5718-1979-0514826-4
PII: S 0025-5718(1979)0514826-4
Article copyright: © Copyright 1979 American Mathematical Society