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A New Composite Quadrature Rule
Published online by Cambridge University Press: 03 June 2015
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
- Information
- Advances in Applied Mathematics and Mechanics , Volume 5 , Special Issue 4 , August 2013 , pp. 595 - 606
- Copyright
- Copyright © Global-Science Press 2013