عنوان المقالة:Error Analysis of the High Order Newton Cotes Formulas
عمر السامرائي | OMAR AL-SAMMARRAIE | 4130
Publication Type
Journal
Arabic Authors
Omar A. AL-Sammarraie
Abstract
The importance of numerical integration may be appreciated by noting how frequently the formulation of problems in applied analysis involves derivatives. It is then natural to anticipate that the solutions of such problems will involve integrals. For most integrals no representation in terms of elementary functions is possible, and approximation becomes necessary. As with any approximate method, the utility of polynomial interpolation cannot be stretched too far. In this paper we shall quantify the errors that can occur in polynomial interpolation and develop techniques to calculate such errors.
Publication Date
4/1/2015
Publisher
International Journal of Scientific and Research Publications,
File Link
تحميل (143 مرات التحميل)
External Link
http://www.ijsrp.org/research-paper-0415.php?rp=P404002
Keywords
Newton’s Forward Interpolation, Numerical integration , Error , Polynomial , Newton Cotes
رجوع