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Special Issues Volume 4, Issue 1, March 2018, Page: 1-7
An Accurate Quadrature for the Numerical Integration of Polynomial Functions
Tahar Latrache, Department of Civil Engineering, University of Tebessa, Tebessa, Algeria
Received: Dec. 15, 2017;       Accepted: Jan. 8, 2018;       Published: Jan. 19, 2018
Abstract
The numerical integration of polynomial functions is one of the most interesting processes for numerical calculus and analyses, and represents thus, a compulsory step especially in finite elements analyses. Via the Gauss quadrature, the users concluded a great inconvenience that is processing at certain points which not required the based in finite element method points for deducting the form polynomials constants. In this paper, the same accuracy and efficiency as the Gauss quadrature extends for the numerical integration of the polynomial functions, but as such at the same points and nods have chosen for the determination of the form polynomials. Not just to profit from the values of the polynomials at those points and nods, but also from their first derivatives, the chosen points positions are arbitrary and the resulted deducted formulas are therefore different, as will be presented bellow and implemented.
Keywords
Integration Quadrature, Numerical Methods, Numerical Integration, Polynomial Functions, Accurate Methods
Tahar Latrache, An Accurate Quadrature for the Numerical Integration of Polynomial Functions, International Journal of Applied Mathematics and Theoretical Physics. Vol. 4, No. 1, 2018, pp. 1-7. doi: 10.11648/j.ijamtp.20180401.11
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