THE NUMERICAL COMPUTATION OF THE VOIGT FUNCTION BY A CORRECTED MIDPOINT QUADRATURE RULE FOR (INFINITY, INFINITY)

被引：34

作者：

LETHER, FG ^{[1
]}

WENSTON, PR ^{[1
]}

机构：

[1] UNIV GEORGIA,BOYD GRAD RES CTR,DEPT MATH,ATHENS,GA 30602

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1991年 / 34卷 / 01期

关键词：

COMPLEX COMPLEMENTARY ERROR FUNCTION; SHIFTED RECTANGULAR QUADRATURE RULE; MEROMORPHIC FUNCTION; SPECTRAL LINE PROFILE;

D O I：

10.1016/0377-0427(91)90149-E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Lether, F.G. and P.R. Wenston, The numerical computation of the Voigt function by a corrected midpoint quadrature rule for (- infinity, infinity), Journal of Computational and Applied Mathematics 34 (1991) 75-92. This paper presents a method for computing the Voigt function, through the application of a midpoint quadrature rule that has been corrected to accurately integrate a certain class of meromorphic functions.

引用

页码：75 / 92

页数：18

共 39 条

[1]

ABRAMOWITZ M, 1964, NBS APPLIED MATH SER, V55

[2] SPECTRUM LINE PROFILES - VOIGT FUNCTION [J].

ARMSTRONG, BH .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1967, 7 (01) :61-+

[3] ON EVALUATION OF INTEGRALS RELATED TO ERROR FUNCTION [J].

CHIARELLA, C ;

REICHEL, A .

MATHEMATICS OF COMPUTATION, 1968, 22 (101) :137-+

[4]

DAVIS PJ, 1984, METHODS NUMERICAL IN

[5] RAPID COMPUTATION OF VOIGT PROFILE [J].

DRAYSON, SR .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1976, 16 (07) :611-614

[6] VOIGT-FUNCTION EVALUATION USING A TWO-DIMENSIONAL INTERPOLATION SCHEME [J].

DRUMMOND, JR ;

STECKNER, M .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1985, 34 (06) :517-521

[7]

Engels H., 1980, NUMERICAL QUADRATURE

[8]

FETTIS H, 1955, MATH TABLES AIDS COM, V19, P85

[9]

Fried B. D., 1961, PLASMA DISPERSION FU

[10] EFFICIENT COMPUTATION OF COMPLEX ERROR FUNCTION [J].

GAUTSCHI, W .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1970, 7 (01) :187-&

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