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.
- © Copyright 1979 American Mathematical Society
- Journal: Math. Comp. 33 (1979), 310-314
- MSC: Primary 65D30; Secondary 53A05
- DOI: https://doi.org/10.1090/S0025-5718-1979-0514826-4
- MathSciNet review: 514826