30 January 2009 09:37:18 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_1x1_x.txt". Quadrature rule W file = "ts_d2_1x1_w.txt". Quadrature rule R file = "ts_d2_1x1_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. 30 January 2009 09:37:18 AM 30 January 2009 09:37:27 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_3x3_x.txt". Quadrature rule W file = "ts_d2_3x3_w.txt". Quadrature rule R file = "ts_d2_3x3_r.txt". Spatial dimension = 2 Number of points = 9 Prob Dim Points Approx Exact Error 1 2 9 1.62331 1.64493 0.02162 2 2 9 4.27748 4.35517 0.0776883 3 2 9 3.04758 3.12419 0.0766118 4 2 9 2.51276 2.57901 0.0662511 5 2 9 0.457608 0.444444 0.0131639 6 2 9 1.83677 1.86302 0.0262477 7 2 9 0.266715 0.533333 0.266618 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:37:27 AM 30 January 2009 09:37:33 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_7x7_x.txt". Quadrature rule W file = "ts_d2_7x7_w.txt". Quadrature rule R file = "ts_d2_7x7_r.txt". Spatial dimension = 2 Number of points = 49 Prob Dim Points Approx Exact Error 1 2 49 1.64446 1.64493 0.000471252 2 2 49 4.35487 4.35517 0.000302407 3 2 49 3.12401 3.12419 0.00018488 4 2 49 2.57879 2.57901 0.000222054 5 2 49 0.444482 0.444444 3.70964e-05 6 2 49 1.97133 1.86302 0.108312 7 2 49 0.467825 0.533333 0.0655081 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:37:33 AM 30 January 2009 09:37:41 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_15x15_x.txt". Quadrature rule W file = "ts_d2_15x15_w.txt". Quadrature rule R file = "ts_d2_15x15_r.txt". Spatial dimension = 2 Number of points = 225 Prob Dim Points Approx Exact Error 1 2 225 1.64435 1.64493 0.000581545 2 2 225 4.35491 4.35517 0.00026256 3 2 225 3.12407 3.12419 0.000119856 4 2 225 2.5789 2.57901 0.0001099 5 2 225 0.44446 0.444444 1.53179e-05 6 2 225 1.86099 1.86302 0.0020295 7 2 225 0.510411 0.533333 0.0229225 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:37:41 AM 30 January 2009 09:37:48 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_31x31_x.txt". Quadrature rule W file = "ts_d2_31x31_w.txt". Quadrature rule R file = "ts_d2_31x31_r.txt". Spatial dimension = 2 Number of points = 961 Prob Dim Points Approx Exact Error 1 2 961 1.64456 1.64493 0.000377287 2 2 961 4.35501 4.35517 0.000162319 3 2 961 3.12412 3.12419 7.40223e-05 4 2 961 2.57894 2.57901 6.78133e-05 5 2 961 0.444454 0.444444 9.43771e-06 6 2 961 1.86621 1.86302 0.00319106 7 2 961 0.525241 0.533333 0.00809281 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:37:48 AM 30 January 2009 09:37:56 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_63x63_x.txt". Quadrature rule W file = "ts_d2_63x63_w.txt". Quadrature rule R file = "ts_d2_63x63_r.txt". Spatial dimension = 2 Number of points = 3969 Prob Dim Points Approx Exact Error 1 2 3969 1.64465 1.64493 0.000288476 2 2 3969 4.35505 4.35517 0.000120655 3 2 3969 3.12414 3.12419 5.49963e-05 4 2 3969 2.57896 2.57901 5.03816e-05 5 2 3969 0.444451 0.444444 7.00649e-06 6 2 3969 1.86299 1.86302 2.14444e-05 7 2 3969 0.530469 0.533333 0.00286422 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:37:56 AM 30 January 2009 09:38:03 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_127x127_x.txt". Quadrature rule W file = "ts_d2_127x127_w.txt". Quadrature rule R file = "ts_d2_127x127_r.txt". Spatial dimension = 2 Number of points = 16129 Prob Dim Points Approx Exact Error 1 2 16129 1.64469 1.64493 0.000248612 2 2 16129 4.35507 4.35517 0.000102319 3 2 16129 3.12415 3.12419 4.66266e-05 4 2 16129 2.57896 2.57901 4.27139e-05 5 2 16129 0.44445 0.444444 5.93809e-06 6 2 16129 1.86278 1.86302 0.000233639 7 2 16129 0.532317 0.533333 0.0010167 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:38:04 AM