Year: 2013
Author: Weiwei Sun, Qian Zhang
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 4 : pp. 595–606
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.13-13S10
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 4 : pp. 595–606
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Composite quadrature orthogonal polynomial.