Utilities > Quadrature > C2Cubature


C2Cubature

Purpose

integration points and weights for 2d-integration over unit square

Synopsis

[yfib,zfib,wfib] = C2Cubature (n)

Description

C2CUBATURE integration points and weights for 2d-integration over unit square
  [YFIB,ZFIB,WFIB] = C2CUBATURE (N)
  the function determines the locations YFIB and ZFIB and integration weights WFIB
  for the 2d integration over the unit square with N integration points;
  YFIB, ZFIB and WFIB are N x 1 column vectors
  N can be either 4, 5, 7, 8, 9, 12, 13, 16, 20, 21, 25, 28, 37, 48 
  References:
  (1) Abramowicz/Stegun, Handbook of Mathematical Functions (1964)
  (2) Stroud, A.H., Approximate Calculation of Multiple Integrals (1970)
                    rules marked by (*) are particularly useful according to Stroud 

  Section coordinate system:
                                   ^ y
                                   |
                               ----+----
                               |   |   |
                               |   |   |
                         z <---+---+   |
                               |       |
                               |       |
                               ---------

Cross-Reference Information

This function calls:

This function is called by:
  • Rectangle2Fiber integration points and weights for 2d-integration of a rectangle