Computing the real parabolic cylinder functions U(a,x), V(a,x)

التفاصيل البيبلوغرافية
العنوان: Computing the real parabolic cylinder functions U(a,x), V(a,x)
المؤلفون: Gil, A. (Amparo), Segura, J. (Javier), Temme, N.M. (Nico)
بيانات النشر: CWI
سنة النشر: 2006
المجموعة: CWI's Institutional Repository (Centrum voor Wiskunde en Informatica)
مصطلحات موضوعية: parabolic cylinder functions, non-oscillating integral representations, numerical quadrature, asymptotic expansions
الوصف: Methods for the computation of real parabolic cylinder functions U(a,x) and V(a,x) and their derivatives are described. We give details on power series, asymptotic series, recursion and quadrature. A combination of these methods can be used for computing parabolic cylinder functions for unrestricted values of the order a and the variable x except for the overflow/underflow limitations. By factoring the dominant exponential factor, scaled functions can be computed without practical overflow/underflow limitations. In an accompanying paper we describe the precise domains for these methods and we present the Fortran 90 codes for the computation of these functions.
نوع الوثيقة: other/unknown material
وصف الملف: application/pdf
اللغة: English
العلاقة: https://ir.cwi.nl/pub/14654Test
الإتاحة: https://ir.cwi.nl/pub/14654Test
رقم الانضمام: edsbas.FFFBFB31
قاعدة البيانات: BASE