30 January 2009 3:11:05.928 AM QUADRATURE_TEST_2D FORTRAN90 version 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 4.00000 4.35517 0.355172 3 2 1 2.82843 3.12419 0.295767 4 2 1 2.30940 2.57901 0.269606 5 2 1 0.500000 0.444444 0.555556E-01 6 2 1 1.00000 1.86302 0.863016 7 2 1 0.00000 0.533333 0.533333 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:11:05.945 AM 30 January 2009 3:11:13.032 AM QUADRATURE_TEST_2D FORTRAN90 version 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 0.216200E-01 2 2 9 4.27748 4.35517 0.776883E-01 3 2 9 3.04758 3.12419 0.766118E-01 4 2 9 2.51276 2.57901 0.662511E-01 5 2 9 0.457608 0.444444 0.131639E-01 6 2 9 1.83677 1.86302 0.262477E-01 7 2 9 0.266715 0.533333 0.266618 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:11:13.036 AM 30 January 2009 3:11:19.024 AM QUADRATURE_TEST_2D FORTRAN90 version 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 0.471252E-03 2 2 49 4.35487 4.35517 0.302407E-03 3 2 49 3.12401 3.12419 0.184880E-03 4 2 49 2.57879 2.57901 0.222054E-03 5 2 49 0.444482 0.444444 0.370964E-04 6 2 49 1.97133 1.86302 0.108312 7 2 49 0.467825 0.533333 0.655081E-01 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:11:19.048 AM 30 January 2009 3:11:27.088 AM QUADRATURE_TEST_2D FORTRAN90 version 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 0.581545E-03 2 2 225 4.35491 4.35517 0.262560E-03 3 2 225 3.12407 3.12419 0.119856E-03 4 2 225 2.57890 2.57901 0.109900E-03 5 2 225 0.444460 0.444444 0.153179E-04 6 2 225 1.86099 1.86302 0.202950E-02 7 2 225 0.510411 0.533333 0.229225E-01 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:11:27.101 AM 30 January 2009 3:11:33.719 AM QUADRATURE_TEST_2D FORTRAN90 version 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 0.377287E-03 2 2 961 4.35501 4.35517 0.162319E-03 3 2 961 3.12412 3.12419 0.740223E-04 4 2 961 2.57894 2.57901 0.678133E-04 5 2 961 0.444454 0.444444 0.943771E-05 6 2 961 1.86621 1.86302 0.319106E-02 7 2 961 0.525241 0.533333 0.809281E-02 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:11:33.744 AM 30 January 2009 3:11:40.608 AM QUADRATURE_TEST_2D FORTRAN90 version 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 0.288476E-03 2 2 3969 4.35505 4.35517 0.120655E-03 3 2 3969 3.12414 3.12419 0.549963E-04 4 2 3969 2.57896 2.57901 0.503816E-04 5 2 3969 0.444451 0.444444 0.700649E-05 6 2 3969 1.86299 1.86302 0.214444E-04 7 2 3969 0.530469 0.533333 0.286422E-02 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:11:40.730 AM 30 January 2009 3:11:47.248 AM QUADRATURE_TEST_2D FORTRAN90 version 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 0.248612E-03 2 2 16129 4.35507 4.35517 0.102319E-03 3 2 16129 3.12415 3.12419 0.466266E-04 4 2 16129 2.57896 2.57901 0.427139E-04 5 2 16129 0.444450 0.444444 0.593809E-05 6 2 16129 1.86278 1.86302 0.233639E-03 7 2 16129 0.532317 0.533333 0.101670E-02 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:11:47.678 AM