30 January 2009 3:08:48.647 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 = "gl_d2_1x1_x.txt". Quadrature rule W file = "gl_d2_1x1_w.txt". Quadrature rule R file = "gl_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 3:08:48.648 AM 30 January 2009 3:08:59.847 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 = "gl_d2_2x2_x.txt". Quadrature rule W file = "gl_d2_2x2_w.txt". Quadrature rule R file = "gl_d2_2x2_r.txt". Spatial dimension = 2 Number of points = 4 Prob Dim Points Approx Exact Error 1 2 4 1.52308 1.64493 0.121857 2 2 4 4.24264 4.35517 0.112531 3 2 4 3.06489 3.12419 0.593006E-01 4 2 4 2.51896 2.57901 0.600480E-01 5 2 4 0.454124 0.444444 0.967970E-02 6 2 4 1.66667 1.86302 0.196350 7 2 4 0.379918 0.533333 0.153415 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:08:59.849 AM 30 January 2009 3:09:15.030 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 = "gl_d2_4x4_x.txt". Quadrature rule W file = "gl_d2_4x4_w.txt". Quadrature rule R file = "gl_d2_4x4_r.txt". Spatial dimension = 2 Number of points = 16 Prob Dim Points Approx Exact Error 1 2 16 1.60599 1.64493 0.389403E-01 2 2 16 4.33208 4.35517 0.230946E-01 3 2 16 3.11488 3.12419 0.930944E-02 4 2 16 2.56922 2.57901 0.979231E-02 5 2 16 0.445994 0.444444 0.154932E-02 6 2 16 1.73072 1.86302 0.132298 7 2 16 0.471735 0.533333 0.615986E-01 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:09:15.033 AM 30 January 2009 3:09:22.063 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 = "gl_d2_8x8_x.txt". Quadrature rule W file = "gl_d2_8x8_w.txt". Quadrature rule R file = "gl_d2_8x8_r.txt". Spatial dimension = 2 Number of points = 64 Prob Dim Points Approx Exact Error 1 2 64 1.63389 1.64493 0.110422E-01 2 2 64 4.35153 4.35517 0.364416E-02 3 2 64 3.12286 3.12419 0.133805E-02 4 2 64 2.57759 2.57901 0.141615E-02 5 2 64 0.444670 0.444444 0.225246E-03 6 2 64 1.85893 1.86302 0.408772E-02 7 2 64 0.509617 0.533333 0.237159E-01 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:09:22.067 AM 30 January 2009 3:09:29.622 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 = "gl_d2_16x16_x.txt". Quadrature rule W file = "gl_d2_16x16_w.txt". Quadrature rule R file = "gl_d2_16x16_r.txt". Spatial dimension = 2 Number of points = 256 Prob Dim Points Approx Exact Error 1 2 256 1.64199 1.64493 0.294036E-02 2 2 256 4.35466 4.35517 0.507510E-03 3 2 256 3.12401 3.12419 0.181261E-03 4 2 256 2.57882 2.57901 0.192182E-03 5 2 256 0.444475 0.444444 0.306203E-04 6 2 256 1.86313 1.86302 0.111554E-03 7 2 256 0.524558 0.533333 0.877570E-02 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:09:29.631 AM 30 January 2009 3:09:36.591 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 = "gl_d2_32x32_x.txt". Quadrature rule W file = "gl_d2_32x32_w.txt". Quadrature rule R file = "gl_d2_32x32_r.txt". Spatial dimension = 2 Number of points = 1024 Prob Dim Points Approx Exact Error 1 2 1024 1.64418 1.64493 0.758577E-03 2 2 1024 4.35511 4.35517 0.667491E-04 3 2 1024 3.12417 3.12419 0.236613E-04 4 2 1024 2.57898 2.57901 0.250991E-04 5 2 1024 0.444448 0.444444 0.400094E-05 6 2 1024 1.86320 1.86302 0.182766E-03 7 2 1024 0.530158 0.533333 0.317553E-02 QUADRATURE_TEST_2D: Normal end of execution. 30 January 2009 3:09:36.622 AM