کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4643520 | 1341384 | 2006 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Improved cubature formulae of high degrees of exactness for the square
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Improved cubature formulae of high degrees of exactness for the square Improved cubature formulae of high degrees of exactness for the square](/preview/png/4643520.png)
چکیده انگلیسی
The method of constructing minimal cubature rules with high algebraic degrees of exactness is developed by adapting a powerful algorithm for solving the system of nonlinear equations. As a result, new cubature formulae of degrees 15, 17, 19, 21, and 23 are derived for the square. They lead to lower numbers of knots and/or to better quality with respect to those known previously. The formulae obtained should be considered as the most efficient for the calculation of two-dimensional integrals with a high precision.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 188, Issue 2, 15 April 2006, Pages 190–204
Journal: Journal of Computational and Applied Mathematics - Volume 188, Issue 2, 15 April 2006, Pages 190–204
نویسندگان
I.P. Omelyan, V.B. Solovyan,