01 February 2009 11:06:31 AM 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 = "ts_d2_level0_x.txt". Quadrature rule W file = "ts_d2_level0_w.txt". Quadrature rule R file = "ts_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 11:06:31 AM 01 February 2009 11:06:39 AM 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 = "ts_d2_level1_x.txt". Quadrature rule W file = "ts_d2_level1_w.txt". Quadrature rule R file = "ts_d2_level1_r.txt". Spatial dimension = 2 Number of points = 5 Prob Dim Points Approx Exact Error 1 2 5 1.40088 1.64493 0.244058 2 2 5 4 4.35517 0.355172 3 2 5 2.95928 3.12419 0.164915 4 2 5 2.44469 2.57901 0.134319 5 2 5 0.45667 0.444444 0.0122251 6 2 5 1.73414 1.86302 0.128879 7 2 5 0.312474 0.533333 0.22086 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 11:06:39 AM 01 February 2009 11:06:43 AM 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 = "ts_d2_level2_x.txt". Quadrature rule W file = "ts_d2_level2_w.txt". Quadrature rule R file = "ts_d2_level2_r.txt". Spatial dimension = 2 Number of points = 17 Prob Dim Points Approx Exact Error 1 2 17 1.66164 1.64493 0.0167076 2 2 17 4.27748 4.35517 0.0776883 3 2 17 3.11625 3.12419 0.00794555 4 2 17 2.5739 2.57901 0.00510948 5 2 17 0.443787 0.444444 0.000657293 6 2 17 1.33645 1.86302 0.526562 7 2 17 0.686816 0.533333 0.153483 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 11:06:43 AM 01 February 2009 11:06:46 AM 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 = "ts_d2_level3_x.txt". Quadrature rule W file = "ts_d2_level3_w.txt". Quadrature rule R file = "ts_d2_level3_r.txt". Spatial dimension = 2 Number of points = 49 Prob Dim Points Approx Exact Error 1 2 49 1.61419 1.64493 0.0307489 2 2 49 4.30614 4.35517 0.0490294 3 2 49 3.11474 3.12419 0.00945067 4 2 49 2.57415 2.57901 0.00485476 5 2 49 0.444363 0.444444 8.15147e-05 6 2 49 1.49812 1.86302 0.364901 7 2 49 0.72721 0.533333 0.193877 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 11:06:46 AM 01 February 2009 11:06:49 AM 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 = "ts_d2_level4_x.txt". Quadrature rule W file = "ts_d2_level4_w.txt". Quadrature rule R file = "ts_d2_level4_r.txt". Spatial dimension = 2 Number of points = 129 Prob Dim Points Approx Exact Error 1 2 129 1.64347 1.64493 0.00146256 2 2 129 4.35442 4.35517 0.000750579 3 2 129 3.12386 3.12419 0.000329817 4 2 129 2.57883 2.57901 0.000174302 5 2 129 0.444453 0.444444 8.76158e-06 6 2 129 1.78493 1.86302 0.0780861 7 2 129 0.622745 0.533333 0.0894113 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 11:06:49 AM 01 February 2009 11:06:52 AM 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 = "ts_d2_level5_x.txt". Quadrature rule W file = "ts_d2_level5_w.txt". Quadrature rule R file = "ts_d2_level5_r.txt". Spatial dimension = 2 Number of points = 321 Prob Dim Points Approx Exact Error 1 2 321 1.64385 1.64493 0.00108126 2 2 321 4.35478 4.35517 0.000393528 3 2 321 3.12407 3.12419 0.000125902 4 2 321 2.57894 2.57901 6.33634e-05 5 2 321 0.444451 0.444444 6.7724e-06 6 2 321 1.86517 1.86302 0.00215839 7 2 321 0.606475 0.533333 0.0731415 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 11:06:52 AM 01 February 2009 11:06:56 AM 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 = "ts_d2_level6_x.txt". Quadrature rule W file = "ts_d2_level6_w.txt". Quadrature rule R file = "ts_d2_level6_r.txt". Spatial dimension = 2 Number of points = 769 Prob Dim Points Approx Exact Error 1 2 769 1.64457 1.64493 0.000368978 2 2 769 4.35505 4.35517 0.000125652 3 2 769 3.12414 3.12419 5.43374e-05 4 2 769 2.57896 2.57901 4.92637e-05 5 2 769 0.44445 0.444444 5.83741e-06 6 2 769 1.83659 1.86302 0.0264282 7 2 769 0.558979 0.533333 0.0256458 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 11:06:56 AM 01 February 2009 11:06:59 AM 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 = "ts_d2_level7_x.txt". Quadrature rule W file = "ts_d2_level7_w.txt". Quadrature rule R file = "ts_d2_level7_r.txt". Spatial dimension = 2 Number of points = 1793 Prob Dim Points Approx Exact Error 1 2 1793 1.64464 1.64493 0.00029518 2 2 1793 4.35507 4.35517 0.000105011 3 2 1793 3.12415 3.12419 4.64574e-05 4 2 1793 2.57897 2.57901 4.22556e-05 5 2 1793 0.44445 0.444444 5.39615e-06 6 2 1793 1.86393 1.86302 0.000910062 7 2 1793 0.557197 0.533333 0.023864 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 11:06:59 AM 01 February 2009 11:16:09 AM 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 = "ts_d2_level8_x.txt". Quadrature rule W file = "ts_d2_level8_w.txt". Quadrature rule R file = "ts_d2_level8_r.txt". Spatial dimension = 2 Number of points = 4097 Prob Dim Points Approx Exact Error 1 2 4097 1.64468 1.64493 0.000254277 2 2 4097 4.35508 4.35517 9.5133e-05 3 2 4097 3.12415 3.12419 4.26742e-05 4 2 4097 2.57897 2.57901 3.89811e-05 5 2 4097 0.44445 0.444444 5.18182e-06 6 2 4097 1.86453 1.86302 0.00151465 7 2 4097 0.54175 0.533333 0.00841692 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 11:16:09 AM