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A New Composite Quadrature Rule

Published online by Cambridge University Press:  03 June 2015

Weiwei Sun*
Affiliation:
Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
Qian Zhang*
Affiliation:
College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, Guangdong, China
*
Corresponding author. Email: maweiw@math.cityu.edu.hk
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Abstract

We present a new composite quadrature rule which is exact for polynomials of degree 2N + K – 1 with N abscissas at each subinterval and K boundary conditions. The corresponding orthogonal polynomials are introduced and the analytic formulae for abscissas and weight functions are presented. Numerical results show that the new quadrature rule is more efficient, compared with classical ones.

Type
Research Article
Copyright
Copyright © Global-Science Press 2013

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