------------------------------------------------------------------------------ Energy decomposition ------------------------------------------------------------------------------ Case Ep,s/E Ej,s/E Ep,ns/E Ej,ns/E Emix/E Checksum <|f_i|> x 10^5 ------------------------------------------------------------------------------ ---LL ------------------ 32 5.48e+02 0.78 0.25 2.34e-03 6.52e-04 -3.82e-02 2.93e-08 26.43 64 5.30e+02 0.76 0.25 2.60e-04 8.22e-05 -1.33e-02 -1.18e-08 3.34 128 5.25e+02 0.75 0.26 2.37e-05 9.15e-06 -3.90e-03 -6.72e-08 0.62 256 5.24e+02 0.75 0.26 2.38e-06 1.32e-06 -1.07e-03 3.43e-08 0.27 ---TD N_resolution ------------------ N01_0.06 4.69e+01 1.00 0.00 1.18e-05 1.02e-05 -1.20e-03 6.18e-08 0.39 N05_0.06 3.35e+01 0.98 0.02 1.18e-05 2.68e-05 3.02e-03 -5.37e-08 0.71 N1_0.03 1.08e+01 0.81 0.17 3.08e-06 5.94e-04 2.53e-02 -1.50e-08 0.75 N1_0.06 1.09e+01 0.81 0.17 1.21e-05 6.12e-04 2.44e-02 4.30e-08 1.89 N1_0.12 1.09e+01 0.81 0.17 6.33e-05 6.78e-04 2.14e-02 1.13e-08 6.86 N3_0.06 3.80e+00 0.85 0.14 1.35e-05 1.16e-04 8.07e-03 -1.28e-08 1.35 ---MHD_st ------------------ 50 4.04e+02 0.52 0.50 3.86e-05 3.34e-04 -1.67e-02 1.89e-08 9.99 85 5.31e+02 0.53 0.48 3.49e-05 3.00e-04 -1.15e-02 -4.56e-08 13.08 120 6.03e+02 0.46 0.55 2.08e-05 2.62e-04 -7.06e-03 -2.81e-08 13.66 155 6.42e+02 0.41 0.59 1.49e-05 2.31e-04 -5.46e-03 -2.35e-08 12.27 190 6.67e+02 0.38 0.62 1.34e-05 2.22e-04 -4.49e-03 9.80e-09 12.10 ---MHD_un ------------------ 50 3.67e+02 0.39 0.62 3.92e-05 2.40e-04 -1.10e-02 2.77e-08 11.25 80 4.43e+02 0.42 0.58 4.36e-05 2.55e-04 -8.34e-03 -3.25e-08 22.83 110 4.64e+02 0.40 0.60 3.09e-05 2.93e-04 -5.11e-03 2.29e-08 27.10 140 4.46e+02 0.41 0.59 2.16e-05 2.50e-04 -3.63e-03 -1.69e-08 32.29 150 4.07e+02 0.44 0.56 2.23e-05 2.57e-04 -3.26e-03 -3.49e-08 46.16 160 3.81e+02 0.47 0.53 2.32e-05 3.02e-04 -4.17e-03 5.31e-09 43.88 190 3.62e+02 0.49 0.51 2.33e-05 3.35e-04 -5.14e-03 -6.43e-09 32.42 ---MHD_st_divB ------------------ divB 0.2% 4.14e+02 0.50 0.50 3.92e-05 3.14e-04 -1.45e-03 -4.80e-09 14.95 divB 1.1% 4.06e+02 0.51 0.50 3.85e-05 1.70e-04 -1.08e-02 9.62e-09 9.77 divB 2.0% 4.03e+02 0.52 0.50 3.88e-05 4.90e-04 -1.98e-02 1.96e-08 16.36 divB 4.0% 4.09e+02 0.53 0.51 4.16e-05 2.25e-03 -3.82e-02 2.74e-08 47.11 divB 8.2% 4.64e+02 0.49 0.57 5.43e-05 9.19e-03 -7.25e-02 3.86e-10 85.67 divB 14 % 1.01e+03 0.31 0.77 9.64e-05 3.06e-02 -1.12e-01 -2.28e-08 165.15 ---MHD_st_small (CB force-free volume test) ------------------ 50 4.04e+02 0.52 0.50 3.86e-05 3.34e-04 -1.67e-02 1.89e-08 9.99 85 5.31e+02 0.53 0.48 3.49e-05 3.00e-04 -1.15e-02 -4.56e-08 13.08 120 6.03e+02 0.46 0.55 2.08e-05 2.62e-04 -7.06e-03 -2.81e-08 13.66 155 6.42e+02 0.41 0.59 1.49e-05 2.31e-04 -5.46e-03 -2.35e-08 12.27 190 6.67e+02 0.38 0.62 1.34e-05 2.22e-04 -4.49e-03 9.80e-09 12.10 ---MHD_un_small (CB force-free volume test) ------------------ 50 3.67e+02 0.39 0.62 3.92e-05 2.40e-04 -1.10e-02 2.77e-08 11.25 80 4.43e+02 0.42 0.58 4.36e-05 2.55e-04 -8.34e-03 -3.25e-08 22.83 110 4.64e+02 0.40 0.60 3.09e-05 2.93e-04 -5.11e-03 2.29e-08 27.10 140 4.46e+02 0.41 0.59 2.16e-05 2.50e-04 -3.63e-03 -1.69e-08 32.29 150 4.07e+02 0.44 0.56 2.23e-05 2.57e-04 -3.26e-03 -3.49e-08 46.16 160 3.81e+02 0.47 0.53 2.32e-05 3.02e-04 -4.17e-03 5.31e-09 43.88 190 3.62e+02 0.49 0.51 2.33e-05 3.35e-04 -5.14e-03 -6.43e-09 32.42 ------------------------------------------------------------------------------ Vector metrics ---------------------------------------------------------------------------------------------------------------------------------------- Case | Bp vs curl(Ap) | B vs curl(A) | H/phi^2 | Cvec Ccs 1-En 1-Em epsE | Cvec Ccs 1-En 1-Em epsE | ---------------------------------------------------------------------------------------------------------------------------------------- ---LL ------------------ Coulomb_SY_32 0.9997 1.0000 0.9885 0.9938 1.0033 0.9996 0.9924 0.9742 0.9130 0.9965 -0.1462 Coulomb_SY_64 1.0000 1.0000 0.9963 0.9981 1.0014 0.9999 0.9970 0.9880 0.9496 0.9994 -0.1427 Coulomb_SY_128 1.0000 1.0000 0.9989 0.9992 1.0005 1.0000 0.9990 0.9943 0.9726 1.0001 -0.1418 Coulomb_SY_256 1.0000 1.0000 0.9990 0.9978 1.0001 1.0000 0.9996 0.9965 0.9836 1.0003 -0.1415 DeVore_KM_32 0.9992 0.9998 0.9799 0.9854 0.9915 0.9997 1.0000 0.9891 0.9958 0.9978 -0.1483 DeVore_KM_64 0.9999 0.9999 0.9923 0.9929 0.9963 1.0000 1.0000 0.9968 0.9989 0.9988 -0.1441 DeVore_KM_128 1.0000 0.9999 0.9970 0.9965 0.9988 1.0000 1.0000 0.9991 0.9997 0.9996 -0.1426 DeVore_KM_256 1.0000 1.0000 0.9988 0.9982 0.9996 1.0000 1.0000 0.9997 0.9999 0.9999 -0.1419 Coulomb_JT_32 0.9974 0.8772 0.8841 0.6307 1.0320 0.9978 0.8583 0.8856 0.5295 1.0500 -0.1499 Coulomb_JT_64 0.9974 0.8658 0.8843 0.5771 1.0242 0.9980 0.8409 0.8963 0.4688 1.0410 -0.1437 Coulomb_JT_128 0.9967 0.8595 0.8810 0.5420 1.0166 0.9975 0.8313 0.9001 0.4272 1.0275 -0.1414 Coulomb_JT_256 0.9958 0.8562 0.8778 0.5207 1.0121 0.9968 0.8262 0.9009 0.4011 1.0177 -0.1404 DeVore_GV_32 0.9988 0.9997 0.9781 0.9797 0.9677 0.9995 1.0000 0.9884 0.9958 0.9798 -0.1427 DeVore_GV_64 0.9998 0.9999 0.9915 0.9892 0.9851 0.9999 1.0000 0.9965 0.9989 0.9918 -0.1420 DeVore_GV_128 1.0000 1.0000 0.9966 0.9942 0.9949 1.0000 1.0000 0.9990 0.9997 0.9974 -0.1416 DeVore_GV_256 1.0000 1.0000 0.9985 0.9968 0.9985 1.0000 1.0000 0.9997 0.9999 0.9993 -0.1415 DeVore_SA_32 0.9996 1.0000 0.9887 0.9959 1.0044 0.9997 1.0000 0.9894 0.9959 0.9960 -0.1471 DeVore_SA_64 1.0000 1.0000 0.9966 0.9989 1.0015 1.0000 1.0000 0.9969 0.9989 0.9977 -0.1428 DeVore_SA_128 1.0000 1.0000 0.9991 0.9997 1.0005 1.0000 1.0000 0.9991 0.9997 0.9989 -0.1418 DeVore_SA_256 1.0000 1.0000 0.9998 0.9999 1.0001 1.0000 1.0000 0.9997 0.9999 0.9995 -0.1415 Coulomb_GR_32 0.9997 1.0000 0.9882 0.9950 1.0042 0.9992 0.9525 0.9247 0.7829 1.0036 -0.1655 Coulomb_GR_64 1.0000 1.0000 0.9966 0.9989 1.0015 0.9977 0.8661 0.8471 0.5270 1.0048 -0.1861 Coulomb_GR_128 1.0000 1.0000 0.9991 0.9997 1.0005 0.9974 0.8573 0.8388 0.4970 1.0013 -0.1846 Coulomb_GR_256 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN ---TD ------------------ Coulomb_SY_N01_0. 1.0000 1.0000 0.9994 0.9991 1.0002 1.0000 0.9997 0.9939 0.9816 0.9999 -0.0057 Coulomb_SY_N05_0. 1.0000 1.0000 0.9993 0.9991 1.0002 1.0000 0.9997 0.9921 0.9792 0.9959 -0.0289 Coulomb_SY_N1_0.0 1.0000 1.0000 0.9987 0.9960 1.0001 0.9998 0.9995 0.9771 0.9683 0.9745 -0.0768 Coulomb_SY_N1_0.0 1.0000 1.0000 0.9992 0.9989 1.0003 0.9998 0.9991 0.9763 0.9628 0.9751 -0.0769 Coulomb_SY_N1_0.1 1.0000 1.0000 0.9977 0.9977 1.0009 0.9998 0.9982 0.9739 0.9510 0.9755 -0.0769 Coulomb_SY_N3_0.0 1.0000 1.0000 0.9992 0.9989 1.0003 0.9999 0.9995 0.9884 0.9759 0.9889 -0.0524 DeVore_KM_N01_0.06 1.0000 0.9999 0.9920 0.9910 0.9889 1.0000 1.0000 0.9995 0.9997 1.0003 -0.0057 DeVore_KM_N05_0.06 1.0000 0.9999 0.9919 0.9910 0.9890 1.0000 1.0000 0.9988 0.9996 1.0025 -0.0290 DeVore_KM_N1_0.03 1.0000 1.0000 0.9959 0.9954 0.9943 0.9996 1.0000 0.9949 0.9992 1.0166 -0.0783 DeVore_KM_N1_0.06 1.0000 0.9999 0.9920 0.9911 0.9892 0.9996 1.0000 0.9948 0.9990 1.0151 -0.0784 DeVore_KM_N1_0.12 0.9999 0.9998 0.9844 0.9832 0.9806 0.9996 1.0000 0.9936 0.9981 1.0118 -0.0786 DeVore_KM_N3_0.06 1.0000 0.9999 0.9919 0.9911 0.9892 0.9998 1.0000 0.9976 0.9994 1.0032 -0.0529 Coulomb_JT_N01_0.06 0.9973 0.9446 0.8899 0.7118 1.0238 0.9975 0.9461 0.8913 0.7198 1.0361 -0.0060 Coulomb_JT_N05_0.06 0.9973 0.9444 0.8901 0.7114 1.0237 0.9976 0.9470 0.8939 0.7240 1.0319 -0.0302 Coulomb_JT_N1_0.03 0.9975 0.9444 0.8943 0.7087 1.0172 0.9981 0.9548 0.9074 0.7491 0.9971 -0.0810 Coulomb_JT_N1_0.06 0.9974 0.9429 0.8918 0.7069 1.0231 0.9980 0.9543 0.9068 0.7506 1.0097 -0.0818 Coulomb_JT_N1_0.12 0.9972 0.9403 0.8864 0.7043 1.0330 0.9979 0.9534 0.9028 0.7529 1.0290 -0.0833 Coulomb_JT_N3_0.06 0.9975 0.9443 0.8924 0.7108 1.0232 0.9979 0.9518 0.9018 0.7391 1.0231 -0.0551 DeVore_GV_N01_0. 1.0000 1.0000 0.9990 0.9988 0.9985 1.0000 1.0000 0.9995 0.9997 0.9991 -0.0057 DeVore_GV_N05_0. 1.0000 1.0000 0.9988 0.9981 0.9985 1.0000 1.0000 0.9988 0.9996 1.0014 -0.0290 DeVore_GV_N1_0.0 1.0000 1.0000 0.9991 0.9979 0.9995 0.9996 1.0000 0.9950 0.9992 1.0164 -0.0782 DeVore_GV_N1_0.0 1.0000 1.0000 0.9980 0.9960 0.9983 0.9996 1.0000 0.9948 0.9990 1.0146 -0.0782 DeVore_GV_N1_0.1 1.0000 0.9999 0.9950 0.9924 0.9943 0.9996 1.0000 0.9939 0.9983 1.0099 -0.0782 DeVore_GV_N3_0.0 1.0000 1.0000 0.9981 0.9965 0.9983 0.9998 1.0000 0.9977 0.9995 1.0035 -0.0527 DeVore_SA_N01_0.06 1.0000 1.0000 0.9995 0.9997 1.0001 1.0000 1.0000 0.9996 0.9997 0.9998 -0.0057 DeVore_SA_N05_0.06 1.0000 1.0000 0.9995 0.9997 1.0001 1.0000 1.0000 0.9988 0.9996 1.0021 -0.0290 DeVore_SA_N1_0.03 1.0000 1.0000 0.9999 0.9999 1.0000 0.9996 1.0000 0.9950 0.9992 1.0164 -0.0785 DeVore_SA_N1_0.06 1.0000 1.0000 0.9994 0.9997 1.0001 0.9996 1.0000 0.9948 0.9990 1.0147 -0.0785 DeVore_SA_N1_0.12 1.0000 1.0000 0.9980 0.9987 1.0005 0.9996 1.0000 0.9938 0.9982 1.0111 -0.0787 DeVore_SA_N3_0.06 1.0000 1.0000 0.9994 0.9997 1.0001 0.9998 1.0000 0.9977 0.9995 1.0027 -0.0528 Coulomb_GR_N01_0.0 1.0000 1.0000 0.9996 0.9997 1.0001 0.9967 0.9523 0.8760 0.6852 1.0088 -0.0543 Coulomb_GR_N05_0.0 1.0000 1.0000 0.9996 0.9997 1.0001 0.9969 0.9578 0.8797 0.6924 1.0071 -0.0731 Coulomb_GR_N1_0.03 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Coulomb_GR_N1_0.06 1.0000 1.0000 0.9995 0.9997 1.0001 0.9976 0.9706 0.8939 0.7218 0.9970 -0.1113 Coulomb_GR_N1_0.12 1.0000 1.0000 0.9982 0.9988 1.0004 0.9978 0.9733 0.8999 0.7438 0.9974 -0.1119 Coulomb_GR_N3_0.06 1.0000 1.0000 0.9995 0.9997 1.0001 0.9974 0.9682 0.8912 0.7141 1.0015 -0.0843 ---MHD_st ------------------- Coulomb_SY_50 1.0000 1.0000 0.9986 0.9982 1.0005 0.9996 0.9994 0.9573 0.9432 1.0026 0.0360 Coulomb_SY_85 1.0000 1.0000 0.9987 0.9983 1.0006 0.9995 0.9994 0.9652 0.9502 1.0061 0.1138 Coulomb_SY_120 1.0000 1.0000 0.9987 0.9983 1.0005 0.9994 0.9994 0.9690 0.9545 1.0047 0.1664 Coulomb_SY_155 1.0000 1.0000 0.9988 0.9983 1.0004 0.9995 0.9995 0.9726 0.9585 1.0035 0.2112 Coulomb_SY_190 1.0000 1.0000 0.9988 0.9983 1.0004 0.9996 0.9995 0.9746 0.9612 1.0022 0.2463 DeVore_KM_50 1.0000 1.0000 0.9972 0.9974 0.9969 0.9995 0.9996 0.9707 0.9694 0.9838 0.0360 DeVore_KM_85 1.0000 1.0000 0.9973 0.9974 0.9969 0.9993 0.9996 0.9712 0.9678 0.9894 0.1141 DeVore_KM_120 1.0000 1.0000 0.9972 0.9973 0.9970 0.9992 0.9996 0.9720 0.9673 0.9896 0.1670 DeVore_KM_155 1.0000 1.0000 0.9972 0.9972 0.9970 0.9993 0.9996 0.9740 0.9674 0.9892 0.2121 DeVore_KM_190 1.0000 1.0000 0.9972 0.9971 0.9970 0.9993 0.9996 0.9748 0.9674 0.9880 0.2475 Coulomb_JT_50 0.9498 0.7208 0.5794 0.2706 1.0077 0.9769 0.6899 0.5553 0.1634 1.0097 0.0343 Coulomb_JT_85 0.9635 0.7396 0.6200 0.3131 1.0058 0.9824 0.7419 0.6611 0.2918 1.0127 0.1102 Coulomb_JT_120 0.9657 0.7541 0.6389 0.3434 1.0068 0.9851 0.7921 0.7239 0.4082 1.0132 0.1630 Coulomb_JT_155 0.9660 0.7616 0.6490 0.3566 1.0095 0.9866 0.8288 0.7601 0.4850 1.0146 0.2085 Coulomb_JT_190 0.9652 0.7641 0.6513 0.3565 1.0139 0.9874 0.8575 0.7834 0.5426 1.0159 0.2447 DeVore_GV_50 1.0000 1.0000 0.9963 0.9956 0.9951 0.9997 0.9996 0.9721 0.9696 0.9927 0.0361 DeVore_GV_85 1.0000 1.0000 0.9966 0.9959 0.9955 0.9997 0.9996 0.9747 0.9687 0.9930 0.1138 DeVore_GV_120 1.0000 1.0000 0.9967 0.9959 0.9963 0.9997 0.9996 0.9760 0.9685 0.9920 0.1665 DeVore_GV_155 1.0000 1.0000 0.9967 0.9957 0.9968 0.9997 0.9997 0.9774 0.9685 0.9915 0.2116 DeVore_GV_190 1.0000 1.0000 0.9966 0.9954 0.9971 0.9997 0.9997 0.9777 0.9684 0.9908 0.2470 DeVore_SA_50 1.0000 1.0000 0.9997 0.9999 1.0004 0.9997 0.9996 0.9839 0.9788 0.9878 0.0360 DeVore_SA_85 1.0000 1.0000 0.9996 0.9999 1.0005 0.9995 0.9995 0.9830 0.9774 0.9949 0.1140 DeVore_SA_120 1.0000 1.0000 0.9996 0.9999 1.0004 0.9994 0.9995 0.9835 0.9770 0.9964 0.1668 DeVore_SA_155 1.0000 1.0000 0.9997 0.9999 1.0003 0.9995 0.9996 0.9857 0.9778 0.9969 0.2119 DeVore_SA_190 1.0000 1.0000 0.9997 0.9999 1.0003 0.9996 0.9996 0.9868 0.9787 0.9966 0.2473 ---MHD_un ------------------ Coulomb_SY_50 1.0000 1.0000 0.9983 0.9979 1.0006 0.9996 0.9994 0.9571 0.9415 0.9954 0.0114 Coulomb_SY_80 1.0000 1.0000 0.9983 0.9978 1.0008 0.9994 0.9992 0.9634 0.9471 0.9998 0.0356 Coulomb_SY_110 1.0000 1.0000 0.9983 0.9979 1.0006 0.9992 0.9992 0.9623 0.9410 0.9998 0.0606 Coulomb_SY_140 1.0000 1.0000 0.9985 0.9980 1.0005 0.9992 0.9992 0.9670 0.9414 0.9975 0.0837 Coulomb_SY_150 1.0000 1.0000 0.9985 0.9981 1.0005 0.9991 0.9990 0.9690 0.9542 0.9963 0.0913 Coulomb_SY_160 1.0000 1.0000 0.9987 0.9983 1.0005 0.9991 0.9991 0.9660 0.9532 0.9970 0.0809 Coulomb_SY_190 1.0000 1.0000 0.9988 0.9985 1.0005 0.9991 0.9992 0.9650 0.9517 0.9967 0.0862 DeVore_KM_50 1.0000 1.0000 0.9969 0.9973 0.9964 0.9995 0.9995 0.9713 0.9697 0.9840 0.0114 DeVore_KM_80 1.0000 1.0000 0.9968 0.9971 0.9964 0.9992 0.9994 0.9690 0.9661 0.9887 0.0355 DeVore_KM_110 1.0000 1.0000 0.9968 0.9970 0.9966 0.9989 0.9992 0.9662 0.9654 0.9885 0.0601 DeVore_KM_140 1.0000 1.0000 0.9969 0.9969 0.9968 0.9988 0.9992 0.9699 0.9671 0.9877 0.0820 DeVore_KM_150 1.0000 1.0000 0.9965 0.9964 0.9968 0.9987 0.9990 0.9654 0.9612 0.9832 0.0880 DeVore_KM_160 1.0000 1.0000 0.9963 0.9959 0.9968 0.9985 0.9986 0.9585 0.9533 0.9817 0.0782 DeVore_KM_190 1.0000 1.0000 0.9966 0.9963 0.9969 0.9985 0.9989 0.9626 0.9582 0.9811 0.0826 Coulomb_JT_50 0.9577 0.6606 0.5260 0.1438 1.0201 0.9844 0.6659 0.5489 0.0916 1.0049 0.0135 Coulomb_JT_80 0.9694 0.6525 0.5468 0.1176 1.0225 0.9873 0.7210 0.6565 0.2344 1.0111 0.0406 Coulomb_JT_110 0.9666 0.6500 0.5440 0.1262 1.0229 0.9863 0.6805 0.6754 0.1751 1.0113 0.0661 Coulomb_JT_140 0.9794 0.7475 0.6665 0.3743 1.0027 0.9908 0.7064 0.7771 0.3502 1.0017 0.0848 Coulomb_JT_150 0.9486 0.6605 0.4911 0.0177 1.0546 0.9768 0.7915 0.6735 0.2263 1.0220 0.0799 Coulomb_JT_160 0.9513 0.7466 0.5273 0.1055 1.0873 0.9760 0.8024 0.6717 0.3748 1.0391 0.0821 Coulomb_JT_190 0.9955 0.9477 0.8599 0.7440 1.0001 0.9964 0.9748 0.9002 0.8177 0.9985 0.0829 DeVore_GV_50 0.9999 1.0000 0.9957 0.9949 0.9934 0.9997 0.9995 0.9728 0.9701 0.9958 0.0116 DeVore_GV_80 0.9999 1.0000 0.9958 0.9948 0.9933 0.9997 0.9995 0.9710 0.9667 0.9958 0.0354 DeVore_GV_110 1.0000 1.0000 0.9958 0.9948 0.9943 0.9996 0.9994 0.9714 0.9672 0.9945 0.0599 DeVore_GV_140 1.0000 1.0000 0.9958 0.9946 0.9953 0.9996 0.9993 0.9753 0.9693 0.9943 0.0817 DeVore_GV_150 1.0000 1.0000 0.9954 0.9941 0.9955 0.9995 0.9992 0.9703 0.9632 0.9910 0.0877 DeVore_GV_160 1.0000 1.0000 0.9955 0.9940 0.9957 0.9994 0.9987 0.9635 0.9552 0.9899 0.0780 DeVore_GV_190 1.0000 1.0000 0.9957 0.9944 0.9960 0.9994 0.9990 0.9676 0.9600 0.9900 0.0825 DeVore_SA_50 1.0000 1.0000 0.9995 0.9999 1.0006 0.9996 0.9994 0.9830 0.9782 0.9859 0.0115 DeVore_SA_80 1.0000 1.0000 0.9994 0.9999 1.0008 0.9993 0.9993 0.9795 0.9742 0.9922 0.0355 DeVore_SA_110 1.0000 1.0000 0.9994 0.9999 1.0006 0.9991 0.9991 0.9748 0.9701 0.9927 0.0601 DeVore_SA_140 1.0000 1.0000 0.9995 0.9999 1.0005 0.9990 0.9991 0.9773 0.9701 0.9915 0.0822 DeVore_SA_150 1.0000 1.0000 0.9995 0.9998 1.0005 0.9989 0.9992 0.9756 0.9698 0.9903 0.0892 DeVore_SA_160 1.0000 1.0000 0.9995 0.9998 1.0005 0.9989 0.9980 0.9731 0.9654 0.9902 0.0786 DeVore_SA_190 1.0000 1.0000 0.9995 0.9998 1.0004 0.9989 0.9990 0.9759 0.9714 0.9887 0.0831 ---MHD_st_divB ------------------ Coulomb_SY divB 0.2% 1.0000 1.0000 0.9985 0.9981 1.0005 0.9990 0.9979 0.9697 0.9694 0.9854 0.0356 Coulomb_SY divB 1.1% 1.0000 1.0000 0.9986 0.9981 1.0005 0.9996 0.9991 0.9727 0.9656 0.9970 0.0359 Coulomb_SY divB 2.0% 1.0000 1.0000 0.9986 0.9982 1.0005 0.9995 0.9990 0.9455 0.9272 1.0051 0.0361 Coulomb_SY divB 4.0% 1.0000 1.0000 0.9986 0.9984 1.0005 0.9976 0.9951 0.8747 0.8375 1.0137 0.0367 Coulomb_SY divB 8.2% 1.0000 1.0000 0.9987 0.9986 1.0005 0.9883 0.9877 0.7532 0.6784 1.0048 0.0380 Coulomb_SY divB 14 % 1.0000 1.0000 0.9989 0.9991 1.0006 0.9529 0.9663 0.5348 0.2345 0.8928 0.0440 DeVore_KM divB 0.2% 0.9994 0.9985 0.9892 0.9879 0.9984 0.9986 0.9964 0.9708 0.9725 0.9936 0.0358 DeVore_KM divB 1.1% 0.9999 0.9997 0.9945 0.9942 0.9971 0.9996 0.9988 0.9805 0.9805 0.9873 0.0359 DeVore_KM divB 2.0% 0.9999 0.9999 0.9959 0.9960 0.9968 0.9993 0.9987 0.9606 0.9567 0.9821 0.0360 DeVore_KM divB 4.0% 0.9991 0.9983 0.9862 0.9852 0.9983 0.9958 0.9785 0.9031 0.8819 0.9737 0.0365 DeVore_KM divB 8.2% 0.9941 0.9946 0.9676 0.9662 1.0083 0.9794 0.9107 0.8044 0.7545 0.9642 0.0380 DeVore_KM divB 14 % 0.9635 0.9865 0.9277 0.9249 1.0765 0.9196 0.8885 0.6264 0.4642 0.9778 0.0475 Coulomb_JT divB 0.2% 0.9996 0.9973 0.9643 0.9381 1.0102 0.9984 0.9956 0.9524 0.9375 0.9925 0.0357 Coulomb_JT divB 1.1% 0.9990 0.9927 0.9413 0.8966 0.9945 0.9989 0.9915 0.9384 0.8945 0.9975 0.0356 Coulomb_JT_ divB 2.0% 0.9512 0.8492 0.5392 0.2158 1.2367 0.9707 0.8307 0.4435 -0.0145 1.1233 0.0382 Coulomb_JT_ divB 4.0% 0.9985 0.9847 0.9554 0.9168 0.9944 0.9967 0.9617 0.8717 0.8182 1.0125 0.0367 Coulomb_JT_ divB 8.2% 0.9866 0.9378 0.8266 0.7542 0.9362 0.9838 0.9029 0.7600 0.6830 0.9685 0.0373 Coulomb_JT divB 14 % 0.9039 0.8344 0.5738 0.5227 0.7202 0.9331 0.7435 0.5131 0.2749 0.7689 0.0395 DeVore_GV divB 0.2% 0.9976 0.9963 0.9834 0.9812 1.0007 0.9989 0.9964 0.9756 0.9752 1.0047 0.0359 DeVore_GV divB 1.1% 0.9996 0.9991 0.9937 0.9933 0.9961 0.9998 0.9988 0.9835 0.9822 0.9965 0.0360 DeVore_GV divB 2.0% 0.9999 0.9997 0.9963 0.9961 0.9952 0.9995 0.9987 0.9624 0.9574 0.9911 0.0361 DeVore_GV divB 4.0% 0.9964 0.9955 0.9797 0.9777 1.0017 0.9959 0.9780 0.9077 0.8835 0.9861 0.0366 DeVore_GV divB 8.2% 0.9760 0.9888 0.9501 0.9484 1.0438 0.9792 0.9110 0.8143 0.7566 0.9963 0.0380 DeVore_GV divB 14 % 0.8687 0.9772 0.8864 0.8885 1.3247 0.9232 0.8897 0.6463 0.4670 1.0879 0.0475 DeVore_SA divB 0.2% 1.0000 1.0000 0.9996 0.9999 1.0004 0.9990 0.9974 0.9759 0.9780 0.9872 0.0356 DeVore_SA divB 1.1% 1.0000 1.0000 0.9997 0.9999 1.0004 0.9996 0.9992 0.9861 0.9853 0.9885 0.0358 DeVore_SA divB 2.0% 1.0000 1.0000 0.9997 0.9999 1.0004 0.9996 0.9986 0.9773 0.9676 0.9869 0.0361 DeVore_SA divB 4.0% 1.0000 1.0000 0.9996 0.9999 1.0004 0.9978 0.9842 0.9389 0.9174 0.9777 0.0366 DeVore_SA divB 8.2% 1.0000 1.0000 0.9996 0.9998 1.0004 0.9886 0.9694 0.8724 0.8678 0.9393 0.0378 DeVore_SA divB 14 % 1.0000 1.0000 0.9995 0.9998 1.0005 0.9542 0.9256 0.7519 0.7180 0.8068 0.0429 ---MHD_st_small ------------------ Coulomb_SY_50 1.0000 1.0000 0.9986 0.9982 1.0005 0.9996 0.9994 0.9573 0.9432 1.0026 0.1432 Coulomb_SY_85 1.0000 1.0000 0.9987 0.9983 1.0006 0.9995 0.9994 0.9652 0.9502 1.0061 0.1976 Coulomb_SY_120 1.0000 1.0000 0.9987 0.9983 1.0005 0.9994 0.9994 0.9690 0.9545 1.0047 0.2169 Coulomb_SY_155 1.0000 1.0000 0.9988 0.9983 1.0004 0.9995 0.9995 0.9726 0.9585 1.0035 0.2490 Coulomb_SY_190 1.0000 1.0000 0.9988 0.9983 1.0004 0.9996 0.9995 0.9746 0.9612 1.0022 0.2855 DeVore_KM_50 1.0000 1.0000 0.9972 0.9974 0.9969 0.9995 0.9996 0.9707 0.9694 0.9838 0.1430 DeVore_KM_85 1.0000 1.0000 0.9973 0.9974 0.9969 0.9993 0.9996 0.9712 0.9678 0.9894 0.1980 DeVore_KM_120 1.0000 1.0000 0.9972 0.9973 0.9970 0.9992 0.9996 0.9720 0.9673 0.9896 0.2176 DeVore_KM_155 1.0000 1.0000 0.9972 0.9972 0.9970 0.9993 0.9996 0.9740 0.9674 0.9892 0.2501 DeVore_KM_190 1.0000 1.0000 0.9972 0.9971 0.9970 0.9993 0.9996 0.9748 0.9674 0.9880 0.2868 Coulomb_JT_50 0.9498 0.7208 0.5794 0.2706 1.0077 0.9769 0.6899 0.5553 0.1634 1.0097 0.1363 Coulomb_JT_85 0.9635 0.7396 0.6200 0.3131 1.0058 0.9824 0.7419 0.6611 0.2918 1.0127 0.1912 Coulomb_JT_120 0.9657 0.7541 0.6389 0.3434 1.0068 0.9851 0.7921 0.7239 0.4082 1.0132 0.2124 Coulomb_JT_155 0.9660 0.7616 0.6490 0.3566 1.0095 0.9866 0.8288 0.7601 0.4850 1.0146 0.2458 Coulomb_JT_190 0.9652 0.7641 0.6513 0.3565 1.0139 0.9874 0.8575 0.7834 0.5426 1.0159 0.2836 DeVore_GV_50 1.0000 1.0000 0.9963 0.9956 0.9951 0.9997 0.9996 0.9721 0.9696 0.9927 0.1434 DeVore_GV_85 1.0000 1.0000 0.9966 0.9959 0.9955 0.9997 0.9996 0.9747 0.9687 0.9930 0.1975 DeVore_GV_120 1.0000 1.0000 0.9967 0.9959 0.9963 0.9997 0.9996 0.9760 0.9685 0.9920 0.2170 DeVore_GV_155 1.0000 1.0000 0.9967 0.9957 0.9968 0.9997 0.9997 0.9774 0.9685 0.9915 0.2495 DeVore_GV_190 1.0000 1.0000 0.9966 0.9954 0.9971 0.9997 0.9997 0.9777 0.9684 0.9908 0.2862 DeVore_SA_50 1.0000 1.0000 0.9997 0.9999 1.0004 0.9997 0.9996 0.9839 0.9788 0.9878 0.1431 DeVore_SA_85 1.0000 1.0000 0.9996 0.9999 1.0005 0.9995 0.9995 0.9830 0.9774 0.9949 0.1979 DeVore_SA_120 1.0000 1.0000 0.9996 0.9999 1.0004 0.9994 0.9995 0.9835 0.9770 0.9964 0.2173 DeVore_SA_155 1.0000 1.0000 0.9997 0.9999 1.0003 0.9995 0.9996 0.9857 0.9778 0.9969 0.2498 DeVore_SA_190 1.0000 1.0000 0.9997 0.9999 1.0003 0.9996 0.9996 0.9868 0.9787 0.9966 0.2866 ---MHD_un_small ------------------ Coulomb_SY_50 1.0000 1.0000 0.9983 0.9979 1.0006 0.9996 0.9994 0.9571 0.9415 0.9954 0.0007 Coulomb_SY_80 1.0000 1.0000 0.9983 0.9978 1.0008 0.9994 0.9992 0.9634 0.9471 0.9998 0.0005 Coulomb_SY_110 1.0000 1.0000 0.9983 0.9979 1.0006 0.9992 0.9992 0.9623 0.9410 0.9998 0.0005 Coulomb_SY_140 1.0000 1.0000 0.9985 0.9980 1.0005 0.9992 0.9992 0.9670 0.9414 0.9975 0.0006 Coulomb_SY_150 1.0000 1.0000 0.9985 0.9981 1.0005 0.9991 0.9990 0.9690 0.9542 0.9963 0.0006 Coulomb_SY_160 1.0000 1.0000 0.9987 0.9983 1.0005 0.9991 0.9991 0.9660 0.9532 0.9970 0.0006 Coulomb_SY_190 1.0000 1.0000 0.9988 0.9985 1.0005 0.9991 0.9992 0.9650 0.9517 0.9967 0.0006 DeVore_KM_50 1.0000 1.0000 0.9969 0.9973 0.9964 0.9995 0.9995 0.9713 0.9697 0.9840 0.0007 DeVore_KM_80 1.0000 1.0000 0.9968 0.9971 0.9964 0.9992 0.9994 0.9690 0.9661 0.9887 0.0005 DeVore_KM_110 1.0000 1.0000 0.9968 0.9970 0.9966 0.9989 0.9992 0.9662 0.9654 0.9885 0.0005 DeVore_KM_140 1.0000 1.0000 0.9969 0.9969 0.9968 0.9988 0.9992 0.9699 0.9671 0.9877 0.0006 DeVore_KM_150 1.0000 1.0000 0.9965 0.9964 0.9968 0.9987 0.9990 0.9654 0.9612 0.9832 0.0006 DeVore_KM_160 1.0000 1.0000 0.9963 0.9959 0.9968 0.9985 0.9986 0.9585 0.9533 0.9817 0.0005 DeVore_KM_190 1.0000 1.0000 0.9966 0.9963 0.9969 0.9985 0.9989 0.9626 0.9582 0.9811 0.0006 Coulomb_JT_50 0.9577 0.6606 0.5260 0.1438 1.0201 0.9844 0.6659 0.5489 0.0916 1.0049 0.0008 Coulomb_JT_80 0.9694 0.6525 0.5468 0.1176 1.0225 0.9873 0.7210 0.6565 0.2344 1.0111 0.0005 Coulomb_JT_110 0.9666 0.6500 0.5440 0.1262 1.0229 0.9863 0.6805 0.6754 0.1751 1.0113 0.0005 Coulomb_JT_140 0.9794 0.7475 0.6665 0.3743 1.0027 0.9908 0.7064 0.7771 0.3502 1.0017 0.0006 Coulomb_JT_150 0.9486 0.6605 0.4911 0.0177 1.0546 0.9768 0.7915 0.6735 0.2263 1.0220 0.0006 Coulomb_JT_160 0.9513 0.7466 0.5273 0.1055 1.0873 0.9760 0.8024 0.6717 0.3748 1.0391 0.0006 Coulomb_JT_190 0.9955 0.9477 0.8599 0.7440 1.0001 0.9964 0.9748 0.9002 0.8177 0.9985 0.0006 DeVore_GV_50 0.9999 1.0000 0.9957 0.9949 0.9934 0.9997 0.9995 0.9728 0.9701 0.9958 0.0007 DeVore_GV_80 0.9999 1.0000 0.9958 0.9948 0.9933 0.9997 0.9995 0.9710 0.9667 0.9958 0.0005 DeVore_GV_110 1.0000 1.0000 0.9958 0.9948 0.9943 0.9996 0.9994 0.9714 0.9672 0.9945 0.0005 DeVore_GV_140 1.0000 1.0000 0.9958 0.9946 0.9953 0.9996 0.9993 0.9753 0.9693 0.9943 0.0006 DeVore_GV_150 1.0000 1.0000 0.9954 0.9941 0.9955 0.9995 0.9992 0.9703 0.9632 0.9910 0.0006 DeVore_GV_160 1.0000 1.0000 0.9955 0.9940 0.9957 0.9994 0.9987 0.9635 0.9552 0.9899 0.0005 DeVore_GV_190 1.0000 1.0000 0.9957 0.9944 0.9960 0.9994 0.9990 0.9676 0.9600 0.9900 0.0006 DeVore_SA_50 1.0000 1.0000 0.9995 0.9999 1.0006 0.9996 0.9994 0.9830 0.9782 0.9859 0.0007 DeVore_SA_80 1.0000 1.0000 0.9994 0.9999 1.0008 0.9993 0.9993 0.9795 0.9742 0.9922 0.0005 DeVore_SA_110 1.0000 1.0000 0.9994 0.9999 1.0006 0.9991 0.9991 0.9748 0.9701 0.9927 0.0005 DeVore_SA_140 1.0000 1.0000 0.9995 0.9999 1.0005 0.9990 0.9991 0.9773 0.9701 0.9915 0.0006 DeVore_SA_150 1.0000 1.0000 0.9995 0.9998 1.0005 0.9989 0.9992 0.9756 0.9698 0.9903 0.0006 DeVore_SA_160 1.0000 1.0000 0.9995 0.9998 1.0005 0.9989 0.9980 0.9731 0.9654 0.9902 0.0005 DeVore_SA_190 1.0000 1.0000 0.9995 0.9998 1.0004 0.9989 0.9990 0.9759 0.9714 0.9887 0.0006 ----------------------------------------------------------------------------------------------------------------------------------------