کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4637970 | 1631987 | 2016 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Efficient computation of cubature rules with application to new asymmetric rules on the triangle
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Efficient computation of cubature rules with application to new asymmetric rules on the triangle Efficient computation of cubature rules with application to new asymmetric rules on the triangle](/preview/png/4637970.png)
چکیده انگلیسی
This paper presents a new, efficient method for computing cubature rules, based on least-squares minimisation and the use of orthogonal bases. The method, which can be applied for any integration domain, is tested here for the case of asymmetric cubature rules on the triangle showing how the computation of the necessary basis, and its derivatives, can be optimised. The numerical results presented include three new cubature rules with fewer points than known rules of the same degree.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 304, 1 October 2016, Pages 73–83
Journal: Journal of Computational and Applied Mathematics - Volume 304, 1 October 2016, Pages 73–83
نویسندگان
Stefanos-Aldo Papanicolopulos,