کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641226 1341299 2009 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity
چکیده انگلیسی

In this paper we investigate the Szegő–Radau and Szegő–Lobatto quadrature formulas on the unit circle. These are (n+m)(n+m)-point formulas for which mm nodes are fixed in advance, with m=1m=1 and m=2m=2 respectively, and which have a maximal domain of validity in the space of Laurent polynomials. This means that the free parameters (free nodes and positive weights) are chosen such that the quadrature formula is exact for all powers zjzj, −p≤j≤p−p≤j≤p, with p=p(n,m)p=p(n,m) as large as possible.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 231, Issue 2, 15 September 2009, Pages 948–963
نویسندگان
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