Volume 5, Issue 4
A New Composite Quadrature Rule

Weiwei Sun & Qian Zhang

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

Published online: 2013-08

Preview Full PDF 2 706
Export citation
  • 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

Composite quadrature orthogonal polynomial

  • AMS Subject Headings

65M10 78A48

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{AAMM-5-595, author = {Weiwei Sun 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 - Weiwei Sun & Qian Zhang JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 595 EP - 606 PY - 2013 DA - 2013/08 SN - 5 DO - http://dor.org/10.4208/aamm.13-13S10 UR - https://global-sci.org/intro/aamm/87.html KW - Composite quadrature KW - 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
Copy to clipboard
The citation has been copied to your clipboard