01 February 2009 01:59:36 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "f2_d2_level0_x.txt". Quadrature rule W file = "f2_d2_level0_w.txt". Quadrature rule R file = "f2_d2_level0_r.txt". Spatial dimension = 2 Number of points = 1 Prob Dim Points Approx Exact Error 1 2 1 1.33333 1.64493 0.311601 2 2 1 4 4.35517 0.355172 3 2 1 2.82843 3.12419 0.295767 4 2 1 2.3094 2.57901 0.269606 5 2 1 0.5 0.444444 0.0555556 6 2 1 1 1.86302 0.863016 7 2 1 0 0.533333 0.533333 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:59:36 PM 01 February 2009 01:59:42 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "f2_d2_level1_x.txt". Quadrature rule W file = "f2_d2_level1_w.txt". Quadrature rule R file = "f2_d2_level1_r.txt". Spatial dimension = 2 Number of points = 5 Prob Dim Points Approx Exact Error 1 2 5 1.43791 1.64493 0.207026 2 2 5 4 4.35517 0.355172 3 2 5 3.02318 3.12419 0.101013 4 2 5 2.49666 2.57901 0.0823467 5 2 5 0.449253 0.444444 0.00480858 6 2 5 1 1.86302 0.863016 7 2 5 0.792805 0.533333 0.259471 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:59:42 PM 01 February 2009 01:59:44 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "f2_d2_level2_x.txt". Quadrature rule W file = "f2_d2_level2_w.txt". Quadrature rule R file = "f2_d2_level2_r.txt". Spatial dimension = 2 Number of points = 17 Prob Dim Points Approx Exact Error 1 2 17 1.55379 1.64493 0.0911445 2 2 17 4.27502 4.35517 0.080149 3 2 17 3.09082 3.12419 0.0333726 4 2 17 2.54945 2.57901 0.029555 5 2 17 0.444886 0.444444 0.000441551 6 2 17 1.93128 1.86302 0.0682612 7 2 17 0.538934 0.533333 0.00560072 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:59:44 PM 01 February 2009 01:59:47 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "f2_d2_level3_x.txt". Quadrature rule W file = "f2_d2_level3_w.txt". Quadrature rule R file = "f2_d2_level3_r.txt". Spatial dimension = 2 Number of points = 49 Prob Dim Points Approx Exact Error 1 2 49 1.59232 1.64493 0.0526091 2 2 49 4.31509 4.35517 0.0400808 3 2 49 3.11067 3.12419 0.0135253 4 2 49 2.56831 2.57901 0.0107015 5 2 49 0.444482 0.444444 3.73987e-05 6 2 49 1.87153 1.86302 0.00851285 7 2 49 0.608608 0.533333 0.0752742 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:59:47 PM 01 February 2009 01:59:50 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "f2_d2_level4_x.txt". Quadrature rule W file = "f2_d2_level4_w.txt". Quadrature rule R file = "f2_d2_level4_r.txt". Spatial dimension = 2 Number of points = 129 Prob Dim Points Approx Exact Error 1 2 129 1.62131 1.64493 0.0236255 2 2 129 4.34354 4.35517 0.0116354 3 2 129 3.11996 3.12419 0.00423608 4 2 129 2.57519 2.57901 0.00381612 5 2 129 0.444447 0.444444 2.50452e-06 6 2 129 1.83174 1.86302 0.0312785 7 2 129 0.548481 0.533333 0.0151474 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:59:50 PM 01 February 2009 01:59:56 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "f2_d2_level5_x.txt". Quadrature rule W file = "f2_d2_level5_w.txt". Quadrature rule R file = "f2_d2_level5_r.txt". Spatial dimension = 2 Number of points = 321 Prob Dim Points Approx Exact Error 1 2 321 1.63169 1.64493 0.013247 2 2 321 4.35024 4.35517 0.00493715 3 2 321 3.12247 3.12419 0.00172879 4 2 321 2.57765 2.57901 0.00135784 5 2 321 0.444444 0.444444 4.32915e-08 6 2 321 1.86566 1.86302 0.00264552 7 2 321 0.559399 0.533333 0.0260661 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:59:56 PM 01 February 2009 01:59:59 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "f2_d2_level6_x.txt". Quadrature rule W file = "f2_d2_level6_w.txt". Quadrature rule R file = "f2_d2_level6_r.txt". Spatial dimension = 2 Number of points = 769 Prob Dim Points Approx Exact Error 1 2 769 1.63897 1.64493 0.00595912 2 2 769 4.35368 4.35517 0.00149271 3 2 769 3.12366 3.12419 0.000531332 4 2 769 2.57853 2.57901 0.000481179 5 2 769 0.444444 0.444444 2.82662e-08 6 2 769 1.86194 1.86302 0.00107564 7 2 769 0.540715 0.533333 0.00738207 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:59:59 PM 01 February 2009 02:00:01 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "f2_d2_level7_x.txt". Quadrature rule W file = "f2_d2_level7_w.txt". Quadrature rule R file = "f2_d2_level7_r.txt". Spatial dimension = 2 Number of points = 1793 Prob Dim Points Approx Exact Error 1 2 1793 1.64162 1.64493 0.00331829 2 2 1793 4.35456 4.35517 0.00061626 3 2 1793 3.12398 3.12419 0.000217379 4 2 1793 2.57884 2.57901 0.000170397 5 2 1793 0.444444 0.444444 7.7417e-09 6 2 1793 1.85984 1.86302 0.00317849 7 2 1793 0.542521 0.533333 0.00918783 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 02:00:02 PM