Accession Number : AD0712972

Title :   A NEW METHOD FOR APPROXIMATING CERTAIN FUNCTIONS AND ITS APPLICATION TO CRITICAL PHENOMENA,

Corporate Author : HARRY DIAMOND LABS WASHINGTON D C

Personal Author(s) : Karayianis,Nick

Report Date : MAY 1970

Pagination or Media Count : 23

Abstract : A method is derived for obtaining approximants to real-values, bounded functions f(t) over 0=or<t=or< infinity. The k,mth approximant to f(t) is of the form (g sub km)(t)= 1/t((Summation, mu=1 to m)(Summation, n=1 to k) of the quantity (a sub n)(s sub nu) (( t/((s sub nu)+t)) to the nth power)), and it is constructed so that its expansions about t = 0 and t = infinity coincide with the expansions of f(t) for the first k terms about t = 0 and the first m terms about t = infinity. The method is useful for obtaining very accurate approximants to functions for computer applications and for inferring the behavior of physical quantities that are known only for very small and very large values of their arguments. (Author)

Descriptors :   (*FUNCTIONS(MATHEMATICS), *APPROXIMATION(MATHEMATICS)), (*STATISTICAL MECHANICS, *THERMODYNAMICS), PHASE STUDIES, NUMERICAL ANALYSIS, POLYNOMIALS, SERIES(MATHEMATICS)

Subject Categories : Physical Chemistry
      Numerical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE