Volume 5, Issue 4

Adv. Appl. Math. Mech., 5 (2013), pp. 595-606.

Published online: 2013-08

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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.

• Keywords

65M10, 78A48

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@Article{AAMM-5-595, author = {Weiwei and Sun and and 20114 and and Weiwei Sun and Qian and Zhang and and 20115 and and Qian Zhang}, title = {A New Composite Quadrature Rule}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {4}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.13-13S10}, url = {http://global-sci.org/intro/article_detail/aamm/87.html} }
TY - JOUR T1 - A New Composite Quadrature Rule AU - Sun , Weiwei AU - Zhang , Qian JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 595 EP - 606 PY - 2013 DA - 2013/08 SN - 5 DO - http://doi.org/10.4208/aamm.13-13S10 UR - https://global-sci.org/intro/article_detail/aamm/87.html KW - Composite quadrature, orthogonal polynomial. AB -

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.

Weiwei Sun & Qian Zhang. (1970). A New Composite Quadrature Rule. Advances in Applied Mathematics and Mechanics. 5 (4). 595-606. doi:10.4208/aamm.13-13S10
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