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15-Jul-2023 07:12:01

quadrilateral_witherden_rule_test():
  MATLAB/Octave version 9.14.0.2206163 (R2023a)
  Test quadrilateral_witherden_rule().

quadrilateral_witherden_rule_test01():
  Quadrature rule for the unit quadrilateral,
  Precision p = 5

     I      W          X           Y

     1    0.204082    0.841565         0.5
     2    0.204082         0.5    0.841565
     3    0.204082    0.158435         0.5
     4    0.204082         0.5    0.158435
     5   0.0459184    0.940959    0.940959
     6   0.0459184    0.940959   0.0590414
     7   0.0459184   0.0590414    0.940959
     8   0.0459184   0.0590414   0.0590414

  Weight Sum    1

quadrilateral_witherden_rule_test02():
  Test the precision of a quadrature rule for the unit quadrilateral.

  Stated precision of rule    = 5
  Number of quadrature points = 8

  Degree  Maximum error

   0                         0
   1     1.110223024625157e-16
   2     5.551115123125783e-17
   3     5.551115123125783e-17
   4     2.775557561562891e-17
   5     2.775557561562891e-17
   6     0.0003086419753086517
   7     0.0008179012345678888

quadrilateral_witherden_rule_test03():
  Test the precision of quadrature rules for the unit quadrilateral.
  Check rules of precision p = 0 through 21
  for error in approximating integrals of monomials.

              maximum                   maximum
   p          absolute                  relative
              error                     error
   0                         0                         0
   1                         0                         0
   2     5.551115123125783e-17     1.665334536937735e-16
   3     5.551115123125783e-17     1.665334536937735e-16
   4     1.110223024625157e-16     2.220446049250313e-16
   5     1.110223024625157e-16     2.220446049250313e-16
   6     1.110223024625157e-16     2.498001805406602e-16
   7     1.110223024625157e-16     2.498001805406602e-16
   8     1.110223024625157e-16     8.326672684688674e-16
   9     1.110223024625157e-16     8.326672684688674e-16
  10     1.110223024625157e-16     1.165734175856414e-15
  11     1.110223024625157e-16     1.311450947838466e-15
  12     1.110223024625157e-15     1.700029006457271e-15
  13     1.110223024625157e-15     1.748601263784622e-15
  14     8.326672684688674e-17     1.165734175856414e-15
  15     8.326672684688674e-17     1.165734175856414e-15
  16     4.440892098500626e-16     1.249000902703301e-15
  17     4.440892098500626e-16     1.249000902703301e-15
  18     4.440892098500626e-16     5.377642775528102e-15
  19     4.440892098500626e-16     5.724587470723463e-15
  20     2.220446049250313e-16      2.30891694652513e-15
  21     2.220446049250313e-16     2.367897544708342e-15

quadrilateral_witherden_rule_test():
  Normal end of execution.

15-Jul-2023 07:12:01