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.