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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Improved cubature formulae of high degrees of exactness for the square
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
نویسندگان
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