On the surface area of the ellipsoid
Stuart R. Keller
Math. Comp. 33 (1979), 310-314
Primary 65D30; Secondary 53A05
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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.
J. Davis and Philip
Rabinowitz, Numerical integration, Blaisdell Publishing Co.
Ginn and Co., Waltham, Mass.-Toronto, Ont.-London, 1967. MR
Standard Mathematical Tables, 14th ed. (S. M. Selby, Editor), The Chemical Rubber Co., Cleveland, Ohio, 1965.
- P. J. DAVIS & P. RABINOWITZ, Numerical Integration, Blaisdell, Waltham, Mass., 1967. MR 35 #2482. MR 0211604 (35:2482)
- Standard Mathematical Tables, 14th ed. (S. M. Selby, Editor), The Chemical Rubber Co., Cleveland, Ohio, 1965.
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