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Polynomial approximations to radiative functions

โœ Scribed by C. D. Rodgers; C. D. Walshaw

Book ID
104573387
Publisher
John Wiley and Sons
Year
1963
Tongue
English
Weight
84 KB
Volume
89
Category
Article
ISSN
0035-9009

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โœฆ Synopsis

Abstract

The following polynomial approximations to functions often needed in radiative transfer calculations were derived by standard Chebyschev methods after an initial transformation of the independent variable. They form a convenient method of computing these functions on an electronic computer, and were used by Dave, Sheppard and Walshaw (1963), with the exception of No. 1, which has been modified to cover the whole range of the variable.

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Chebyshev subinterval polynomial approxi
Chebyshev subinterval polynomial approximations for continuous distribution functions
โœ Hsien-Tang Tsai; Herbert Moskowitz ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 412 KB

An algorithm for constructing a three-subinterval approximation for any continuous distribution function is presented in which the Chebyshev criterion is used, or equivalently, the maximum absolute error (MAE) is minimized. The resulting approximation of this algorithm for the standard normal distri