05-Apr-2019 09:07:22

triangle01_integrals_test
  MATLAB version
  Test triangle01_integrals.

TRIANGLE01_INTEGRALS_TEST01
  Estimate monomial integrals using Monte Carlo
  over the interior of the unit triangle in 2D.

  Number of sample points used is 4192

  We restrict this test to randomly chosen even exponents.

  Ex  Ey     MC-Estimate      Exact           Error

   0   0             0.5             0.5    0.00e+00
   0   1        0.165406        0.166667    1.26e-03
   0   2       0.0816578       0.0833333    1.68e-03
   0   3        0.048254            0.05    1.75e-03
   0   4       0.0316683       0.0333333    1.67e-03
   1   0        0.166961        0.166667    2.94e-04
   1   1       0.0420597       0.0416667    3.93e-04
   1   2       0.0167899       0.0166667    1.23e-04
   1   3      0.00832158      0.00833333    1.18e-05
   1   4      0.00469451       0.0047619    6.74e-05
   2   0        0.083375       0.0833333    4.17e-05
   2   1       0.0169313       0.0166667    2.65e-04
   2   2      0.00566568      0.00555556    1.10e-04
   2   3      0.00241965      0.00238095    3.87e-05
   2   4      0.00120037      0.00119048    9.89e-06
   3   0       0.0498756            0.05    1.24e-04
   3   1      0.00848954      0.00833333    1.56e-04
   3   2      0.00244506      0.00238095    6.41e-05
   3   3     0.000916488     0.000892857    2.36e-05
   3   4     0.000405015     0.000396825    8.19e-06
   4   0       0.0331019       0.0333333    2.31e-04
   4   1      0.00485231       0.0047619    9.04e-05
   4   2       0.0012276      0.00119048    3.71e-05
   4   3      0.00041029     0.000396825    1.35e-05
   4   4     0.000163516      0.00015873    4.79e-06

triangle01_integrals_testn  Normal end of execution.

05-Apr-2019 09:07:22