{ "parameters": { "kappa_h": 1.0, "m_h": 1.0, "G2_grip": [ 1.0, 0.5, 0.2 ], "G_grip": { "F0": 1.0, "b": 0.5, "mu": 0.75, "thetas": [ 0.05, 0.1, 0.2, 0.4 ] }, "dvr_grids": [ [ 0.3, 17 ], [ 0.24, 23 ] ] }, "field": { "omega": [ 0.9999999999999996, 2.0, 2.0 ], "G0": 0.5, "w0": 0.3333333333333334 }, "G2": [ { "M": 4, "E_field": 2.522941149875297, "E_field_exact": 2.5, "E_body_mu+0.75": 3.293974976659197, "E_body_exact_mu+0.75": 3.267777025021477, "cost_mu+0.75": 0.7710338267839001, "cost_exact_mu+0.75": 0.767777025021477, "E_body_mu-0.75": 1.675328673645264, "E_body_exact_mu-0.75": 1.656726183178957, "cost_mu-0.75": -0.847612476230033, "cost_exact_mu-0.75": -0.843273816821043 }, { "M": 6, "E_field": 2.501749102432605, "E_field_exact": 2.5, "E_body_mu+0.75": 3.269945808459116, "E_body_exact_mu+0.75": 3.267777025021477, "cost_mu+0.75": 0.7681967060265111, "cost_exact_mu+0.75": 0.767777025021477, "E_body_mu-0.75": 1.6580838437406564, "E_body_exact_mu-0.75": 1.656726183178957, "cost_mu-0.75": -0.8436652586919484, "cost_exact_mu-0.75": -0.843273816821043 }, { "M": 8, "E_field": 2.50012449917757, "E_field_exact": 2.5, "E_body_mu+0.75": 3.2679475656746, "E_body_exact_mu+0.75": 3.267777025021477, "cost_mu+0.75": 0.76782306649703, "cost_exact_mu+0.75": 0.767777025021477, "E_body_mu-0.75": 1.6568197424700581, "E_body_exact_mu-0.75": 1.656726183178957, "cost_mu-0.75": -0.8433047567075118, "cost_exact_mu-0.75": -0.843273816821043 }, { "M": 10, "E_field": 2.500008587703893, "E_field_exact": 2.5, "E_body_mu+0.75": 3.267790182692387, "E_body_exact_mu+0.75": 3.267777025021477, "cost_mu+0.75": 0.7677815949884943, "cost_exact_mu+0.75": 0.767777025021477, "E_body_mu-0.75": 1.6567324639744514, "E_body_exact_mu-0.75": 1.656726183178957, "cost_mu-0.75": -0.8432761237294415, "cost_exact_mu-0.75": -0.843273816821043 }, { "M": 12, "E_field": 2.500000582524732, "E_field_exact": 2.5, "E_body_mu+0.75": 3.267778033081877, "E_body_exact_mu+0.75": 3.267777025021477, "cost_mu+0.75": 0.7677774505571451, "cost_exact_mu+0.75": 0.767777025021477, "E_body_mu-0.75": 1.6567265990326818, "E_body_exact_mu-0.75": 1.656726183178957, "cost_mu-0.75": -0.8432739834920502, "cost_exact_mu-0.75": -0.843273816821043 }, { "M": 16, "E_field": 2.5000000026020737, "E_field_exact": 2.5, "E_body_mu+0.75": 3.267777030900754, "E_body_exact_mu+0.75": 3.267777025021477, "cost_mu+0.75": 0.7677770282986804, "cost_exact_mu+0.75": 0.767777025021477, "E_body_mu-0.75": 1.6567261849604626, "E_body_exact_mu-0.75": 1.656726183178957, "cost_mu-0.75": -0.843273817641611, "cost_exact_mu-0.75": -0.843273816821043 }, { "M": 20, "E_field": 2.500000000011327, "E_field_exact": 2.5, "E_body_mu+0.75": 3.267777025055746, "E_body_exact_mu+0.75": 3.267777025021477, "cost_mu+0.75": 0.7677770250444191, "cost_exact_mu+0.75": 0.767777025021477, "E_body_mu-0.75": 1.6567261831864484, "E_body_exact_mu-0.75": 1.656726183178957, "cost_mu-0.75": -0.8432738168248786, "cost_exact_mu-0.75": -0.843273816821043 }, { "M": 24, "E_field": 2.5000000000000475, "E_field_exact": 2.5, "E_body_mu+0.75": 3.2677770250216733, "E_body_exact_mu+0.75": 3.267777025021477, "cost_mu+0.75": 0.7677770250216258, "cost_exact_mu+0.75": 0.767777025021477, "E_body_mu-0.75": 1.6567261831789923, "E_body_exact_mu-0.75": 1.656726183178957, "cost_mu-0.75": -0.8432738168210552, "cost_exact_mu-0.75": -0.843273816821043 }, { "M": 32, "E_field": 2.49999999999999, "E_field_exact": 2.5, "E_body_mu+0.75": 3.2677770250214784, "E_body_exact_mu+0.75": 3.267777025021477, "cost_mu+0.75": 0.7677770250214886, "cost_exact_mu+0.75": 0.767777025021477, "E_body_mu-0.75": 1.6567261831789577, "E_body_exact_mu-0.75": 1.656726183178957, "cost_mu-0.75": -0.8432738168210321, "cost_exact_mu-0.75": -0.843273816821043 } ], "G": [ { "M": 4, "E1": 0.06214193388990849, "E1_exact": 0.05756935316601974, "E2": -0.10395847580868466, "E2_exact": -0.10333095416625977, "cg_info": 0, "E_CM_theta0.05": 3.2757899559118933, "err_vs_reference_theta0.05": 0.023168069596499308, "E_CM_theta0.1": 3.2781287315040495, "err_vs_reference_theta0.1": 0.023391099316378394, "E_CM_theta0.2": 3.2813168906103862, "err_vs_reference_theta0.2": 0.023823705940458684, "E_CM_theta0.4": 3.282035782543326, "err_vs_reference_theta0.4": 0.024635803140162338 }, { "M": 6, "E1": 0.05809907721614879, "E1_exact": 0.05756935316601974, "E2": -0.10317834426416717, "E2_exact": -0.10333095416625977, "cg_info": 0, "E_CM_theta0.05": 3.254397834152265, "err_vs_reference_theta0.05": 0.0017759478368710724, "E_CM_theta0.1": 3.2565410700540247, "err_vs_reference_theta0.1": 0.0018034378663536188, "E_CM_theta0.2": 3.259353277554495, "err_vs_reference_theta0.2": 0.0018600928845673437, "E_CM_theta0.4": 3.2593807049556793, "err_vs_reference_theta0.4": 0.0019807255525154943 }, { "M": 8, "E1": 0.057622017405940036, "E1_exact": 0.05756935316601974, "E2": -0.10328936780015069, "E2_exact": -0.10333095416625977, "cg_info": 0, "E_CM_theta0.05": 3.2527491207306447, "err_vs_reference_theta0.05": 0.0001272344152507543, "E_CM_theta0.1": 3.254867800323341, "err_vs_reference_theta0.1": 0.0001301681356697948, "E_CM_theta0.2": 3.257629809188752, "err_vs_reference_theta0.2": 0.0001366245188245685, "E_CM_theta0.4": 3.2575522065954123, "err_vs_reference_theta0.4": 0.00015222719224849968 }, { "M": 10, "E1": 0.05757417615874051, "E1_exact": 0.05756935316601974, "E2": -0.10332454764359325, "E2_exact": -0.10333095416625977, "cg_info": 0, "E_CM_theta0.05": 3.252630731152089, "err_vs_reference_theta0.05": 8.844836695054425e-06, "E_CM_theta0.1": 3.254746766282629, "err_vs_reference_theta0.1": 9.134094957730099e-06, "E_CM_theta0.2": 3.2575029983280546, "err_vs_reference_theta0.2": 9.813658127022507e-06, "E_CM_theta0.4": 3.2574116449629127, "err_vs_reference_theta0.4": 1.1665559748852417e-05 }, { "M": 12, "E1": 0.057569773819097204, "E1_exact": 0.05756935316601974, "E2": -0.10333015388422886, "E2_exact": -0.10333095416625977, "cg_info": 0, "E_CM_theta0.05": 3.2526224918966973, "err_vs_reference_theta0.05": 6.055813033256641e-07, "E_CM_theta0.1": 3.2547382650050176, "err_vs_reference_theta0.1": 6.32817346524206e-07, "E_CM_theta0.2": 3.2574938857983757, "err_vs_reference_theta0.2": 7.011284481883706e-07, "E_CM_theta0.4": 3.2574008897458877, "err_vs_reference_theta0.4": 9.103427238699169e-07 }, { "M": 16, "E1": 0.057569356088700015, "E1_exact": 0.05756935316601974, "E2": -0.10333094480849243, "E2_exact": -0.10333095416625977, "cg_info": 0, "E_CM_theta0.05": 3.252621889087923, "err_vs_reference_theta0.05": 2.772528873151714e-09, "E_CM_theta0.1": 3.2547376351837154, "err_vs_reference_theta0.1": 2.9960443015397686e-09, "E_CM_theta0.2": 3.2574931883084504, "err_vs_reference_theta0.2": 3.6385228163737793e-09, "E_CM_theta0.4": 3.257399985532038, "err_vs_reference_theta0.4": 6.1288742969622945e-09 }, { "M": 20, "E1": 0.057569353184784705, "E1_exact": 0.05756935316601974, "E2": -0.10333095407611818, "E2_exact": -0.10333095416625977, "cg_info": 0, "E_CM_theta0.05": 3.2526218863278866, "err_vs_reference_theta0.05": 1.2492673562292111e-11, "E_CM_theta0.1": 3.254737632201922, "err_vs_reference_theta0.1": 1.425082274408851e-11, "E_CM_theta0.2": 3.2574931846899973, "err_vs_reference_theta0.2": 2.006972366075388e-11, "E_CM_theta0.4": 3.2573999794521806, "err_vs_reference_theta0.4": 4.901679062641051e-11 }, { "M": 24, "E1": 0.057569353166133874, "E1_exact": 0.05756935316601974, "E2": -0.10333095416547831, "E2_exact": -0.10333095416625977, "cg_info": 0, "E_CM_theta0.05": 3.252621886315432, "err_vs_reference_theta0.05": 3.8191672047105385e-14, "E_CM_theta0.1": 3.254737632187745, "err_vs_reference_theta0.1": 7.37188088351104e-14, "E_CM_theta0.2": 3.2574931846700506, "err_vs_reference_theta0.2": 1.2301271112846734e-13, "E_CM_theta0.4": 3.2573999794036266, "err_vs_reference_theta0.4": 4.627409566637652e-13 }, { "M": 32, "E1": 0.05756935316602184, "E1_exact": 0.05756935316601974, "E2": -0.10333095416625897, "E2_exact": -0.10333095416625977, "cg_info": 0, "E_CM_theta0.05": 3.2526218863153877, "err_vs_reference_theta0.05": -6.217248937900877e-15, "E_CM_theta0.1": 3.2547376321876706, "err_vs_reference_theta0.1": -4.440892098500626e-16, "E_CM_theta0.2": 3.25749318466992, "err_vs_reference_theta0.2": -7.549516567451064e-15, "E_CM_theta0.4": 3.2573999794031567, "err_vs_reference_theta0.4": -7.105427357601002e-15 } ], "G_reference": { "0.0": { "E_grid_coarse": 3.250000000000007, "E_grid_fine": 3.2500000000000018, "grid_difference": -5.329070518200751e-15, "exact": 3.25 }, "0.05": { "E_grid_coarse": 3.252621886315397, "E_grid_fine": 3.252621886315394, "grid_difference": -3.1086244689504383e-15 }, "0.1": { "E_grid_coarse": 3.2547376321876813, "E_grid_fine": 3.254737632187671, "grid_difference": -1.021405182655144e-14 }, "0.2": { "E_grid_coarse": 3.2574931846699338, "E_grid_fine": 3.2574931846699275, "grid_difference": -6.217248937900877e-15 }, "0.4": { "E_grid_coarse": 3.257399979403165, "E_grid_fine": 3.257399979403164, "grid_difference": -1.3322676295501878e-15 } }, "G_residual_against_second_order": { "0.05": { "E_reference": 3.252621886315394, "E_second_order": 3.252620140272885, "residual": 1.7460425087989506e-06, "residual_over_theta3": 0.013968340070391601 }, "0.1": { "E_reference": 3.254737632187671, "E_second_order": 3.2547236257749392, "residual": 1.4006412731859541e-05, "residual_over_theta3": 0.014006412731859538 }, "0.2": { "E_reference": 3.2574931846699275, "E_second_order": 3.2573806324665537, "residual": 0.00011255220337380578, "residual_over_theta3": 0.01406902542172572 }, "0.4": { "E_reference": 3.257399979403164, "E_second_order": 3.2564947885998063, "residual": 0.0009051908033574918, "residual_over_theta3": 0.014143606302460806 } }, "G_weight_coefficient_T": 0.08299858683910247, "runtime_s": 14.261499643325806 }