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Titolo:
On nonoscillating integrals for computing inhomogeneous Airy functions
Autore:
Gil, A; Segura, J; Temme, NM;
Indirizzi:
Univ Miguel Hernandez, Inst Bioengn, Edificio La Galla, Alicante 03202, Spain Univ Miguel Hernandez Alicante Spain 03202 Galla, Alicante 03202, Spain CWI, NL-1090 GB Amsterdam, Netherlands CWI Amsterdam Netherlands NL-1090GB , NL-1090 GB Amsterdam, Netherlands
Titolo Testata:
MATHEMATICS OF COMPUTATION
fascicolo: 235, volume: 70, anno: 2001,
pagine: 1183 - 1194
SICI:
0025-5718(2001)70:235<1183:ONIFCI>2.0.ZU;2-6
Fonte:
ISI
Lingua:
ENG
Soggetto:
COMPLEX;
Keywords:
inhomogeneous Airy functions; Scorer functions; method of steepest descent; saddle point method; numerical computation of special functions;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
15
Recensione:
Indirizzi per estratti:
Indirizzo: Gil, A Univ Miguel Hernandez, Inst Bioengn, Edificio La Galla, Alicante 03202, Spain Univ Miguel Hernandez Alicante Spain 03202 Alicante 03202, Spain
Citazione:
A. Gil et al., "On nonoscillating integrals for computing inhomogeneous Airy functions", MATH COMPUT, 70(235), 2001, pp. 1183-1194

Abstract

Integral representations are considered of solutions of the inhomogeneous Airy differential equation w'' - z w = +/- 1/pi. The solutions of these equations are also known as Scorer functions. Certain functional relations forthese functions are used to confine the discussion to one function and to a certain sector in the complex plane. By using steepest descent methods from asymptotics, the standard integral representations of the Scorer functions are modified in order to obtain nonoscillating integrals for complex values of z. In this way stable representations for numerical evaluations of the functions are obtained. The methods are illustrated with numerical results.

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Documento generato il 04/04/20 alle ore 14:23:39