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Midpoint Derivative-Based Closed Newton-Cotes Quadrature
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A novel family of numerical integration of closed Newton-Cotes quadrature rules is presented which uses the derivative value at the midpoint.
It is proved that these kinds of quadrature rules obtain an increase of two orders of precision over the classical closed Newton-Cotes formula, and the error terms are given.
The computational cost for these methods is analyzed from the numerical point of view, and it has shown that the proposed formulas are superior computationally to the same order closed Newton-Cotes formula when they reduce the error below the same level.
Finally, some numerical examples show the numerical superiority of the proposed approach with respect to closed Newton-Cotes formulas.
American Psychological Association (APA)
Zhao, Weijing& Li, Hongxing. 2013. Midpoint Derivative-Based Closed Newton-Cotes Quadrature. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-475964
Modern Language Association (MLA)
Zhao, Weijing& Li, Hongxing. Midpoint Derivative-Based Closed Newton-Cotes Quadrature. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-475964
American Medical Association (AMA)
Zhao, Weijing& Li, Hongxing. Midpoint Derivative-Based Closed Newton-Cotes Quadrature. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-475964
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475964