کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
502928 | 863730 | 2008 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Optimized implementations of rational approximations—a case study on the Voigt and complex error function
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
شیمی
شیمی تئوریک و عملی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Optimized implementations of rational approximations—a case study on the Voigt and complex error function Optimized implementations of rational approximations—a case study on the Voigt and complex error function](/preview/png/502928.png)
چکیده انگلیسی
Rational functions are frequently used as efficient yet accurate numerical approximations for real and complex valued special functions. For the complex error function w(x+iy)w(x+iy), whose real part is the Voigt function K(x,y)K(x,y), the rational approximation developed by Hui, Armstrong, and Wray [Rapid computation of the Voigt and complex error functions, J. Quant. Spectrosc. Radiat. Transfer 19 (1978) 509–516] is investigated. Various optimizations for the algorithm are discussed. In many applications, where these functions have to be calculated for a large x grid with constant y, an implementation using real arithmetic and factorization of invariant terms is especially efficient.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Physics Communications - Volume 179, Issue 7, 1 October 2008, Pages 457–465
Journal: Computer Physics Communications - Volume 179, Issue 7, 1 October 2008, Pages 457–465
نویسندگان
Franz Schreier, Dieter Kohlert,