On the surface area of the ellipsoid

On the surface area of the ellipsoid
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关于椭球体的表面积

DOI:
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发表时间:
1979
期刊:
影响因子:
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通讯作者:
S. R. Keller
S. R. Keller
中科院分区:
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文献类型:
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作者:
S. R. Keller

文献摘要

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以收敛级数的形式导出了椭球体表面积的表达式。该推导基于 n 点高斯-切比雪夫数值求积。通过计算几个椭球体的表面积来证明公式的收敛速度和准确性。
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.