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point_id int64 1 5k | spot_s float64 20 250 | time_to_maturity_tau float64 0.01 1.5 | exact_solution_u float64 0 155 | first_spatial_derivative_delta float64 0 1 | second_spatial_derivative_gamma float64 0 0.13 | temporal_derivative_theta float64 -28.8 -0 | volatility_sensitivity_vega float64 0 45.7 | pde_operator_residual float64 0 57.6 | strike_k float64 100 100 | risk_free_r float64 0.04 0.04 | volatility_sigma float64 0.2 0.2 |
|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 167.0682 | 0.0473 | 67.257049 | 1 | 0 | -3.992445 | 0 | 7.984889 | 100 | 0.04 | 0.2 |
2 | 83.2567 | 0.3426 | 0.349008 | 0.082302 | 0.015584 | -2.420591 | 7.401397 | 4.841182 | 100 | 0.04 | 0.2 |
3 | 189.3884 | 1.0183 | 93.382348 | 0.999737 | 0.000026 | -3.856617 | 0.187044 | 7.713234 | 100 | 0.04 | 0.2 |
4 | 225.2013 | 0.1395 | 125.757901 | 1 | 0 | -3.977736 | 0 | 7.955472 | 100 | 0.04 | 0.2 |
5 | 117.042 | 0.0544 | 17.259777 | 0.999713 | 0.000195 | -4.043234 | 0.028988 | 8.086468 | 100 | 0.04 | 0.2 |
6 | 70.2867 | 0.763 | 0.183845 | 0.039525 | 0.00695 | -0.790477 | 5.239441 | 1.580954 | 100 | 0.04 | 0.2 |
7 | 26.1033 | 0.3063 | 0 | 0 | 0 | -0 | 0 | 0 | 100 | 0.04 | 0.2 |
8 | 169.4734 | 0.822 | 72.714206 | 0.999267 | 0.000082 | -3.912707 | 0.388855 | 7.825414 | 100 | 0.04 | 0.2 |
9 | 70.7013 | 0.888 | 0.319355 | 0.059748 | 0.00891 | -1.046997 | 7.910374 | 2.093994 | 100 | 0.04 | 0.2 |
10 | 206.169 | 0.0197 | 106.247707 | 1 | 0 | -3.996852 | 0 | 7.993704 | 100 | 0.04 | 0.2 |
11 | 205.3384 | 1.0502 | 109.453019 | 0.999933 | 0.000006 | -3.840329 | 0.057406 | 7.680659 | 100 | 0.04 | 0.2 |
12 | 98.2576 | 0.2417 | 3.490068 | 0.487515 | 0.041276 | -9.746457 | 19.260605 | 19.492913 | 100 | 0.04 | 0.2 |
13 | 240.159 | 0.5115 | 142.184319 | 1 | 0 | -3.918988 | 0 | 7.837975 | 100 | 0.04 | 0.2 |
14 | 41.3315 | 0.1541 | 0 | 0 | 0 | -0 | 0 | 0 | 100 | 0.04 | 0.2 |
15 | 214.9237 | 0.9096 | 118.496602 | 0.999991 | 0.000001 | -3.857888 | 0.007988 | 7.715776 | 100 | 0.04 | 0.2 |
16 | 205.6395 | 1.0973 | 109.934702 | 0.999914 | 0.000008 | -3.834261 | 0.074402 | 7.668522 | 100 | 0.04 | 0.2 |
17 | 143.3325 | 1.4599 | 49.478243 | 0.968001 | 0.002072 | -4.422119 | 12.430117 | 8.844238 | 100 | 0.04 | 0.2 |
18 | 107.0629 | 0.8325 | 13.690827 | 0.741414 | 0.016555 | -6.422791 | 31.59748 | 12.845583 | 100 | 0.04 | 0.2 |
19 | 210.7631 | 0.9316 | 114.421028 | 0.999984 | 0.000002 | -3.855117 | 0.014663 | 7.710233 | 100 | 0.04 | 0.2 |
20 | 218.1926 | 0.8703 | 121.613751 | 0.999996 | 0 | -3.863562 | 0.003864 | 7.727124 | 100 | 0.04 | 0.2 |
21 | 182.0515 | 0.0783 | 82.364146 | 1 | 0 | -3.987495 | 0 | 7.97499 | 100 | 0.04 | 0.2 |
22 | 72.4166 | 0.4412 | 0.041368 | 0.012868 | 0.003449 | -0.397389 | 1.596077 | 0.794777 | 100 | 0.04 | 0.2 |
23 | 38.3522 | 0.3569 | 0 | 0 | 0 | -0 | 0 | 0 | 100 | 0.04 | 0.2 |
24 | 43.2303 | 0.4242 | 0 | 0 | 0 | -0 | 0 | 0 | 100 | 0.04 | 0.2 |
25 | 166.2074 | 0.5536 | 68.398344 | 0.999862 | 0.000022 | -3.923385 | 0.066083 | 7.846769 | 100 | 0.04 | 0.2 |
26 | 105.1416 | 0.3222 | 8.517035 | 0.729714 | 0.027717 | -8.856377 | 19.742704 | 17.712755 | 100 | 0.04 | 0.2 |
27 | 81.4049 | 1.4056 | 3.32476 | 0.304335 | 0.018129 | -3.260737 | 33.773484 | 6.521475 | 100 | 0.04 | 0.2 |
28 | 169.0481 | 0.9176 | 72.66383 | 0.998768 | 0.000126 | -3.918975 | 0.660056 | 7.83795 | 100 | 0.04 | 0.2 |
29 | 59.3619 | 1.0964 | 0.060842 | 0.01477 | 0.003006 | -0.244507 | 2.322923 | 0.489014 | 100 | 0.04 | 0.2 |
30 | 57.5826 | 0.5754 | 0.0007 | 0.000324 | 0.000136 | -0.009739 | 0.051903 | 0.019478 | 100 | 0.04 | 0.2 |
31 | 247.5904 | 0.9636 | 151.371437 | 1 | 0 | -3.848811 | 0.000558 | 7.697622 | 100 | 0.04 | 0.2 |
32 | 148.0984 | 1.0301 | 52.275418 | 0.987426 | 0.001082 | -4.233015 | 4.888522 | 8.46603 | 100 | 0.04 | 0.2 |
33 | 213.8559 | 1.1662 | 118.414451 | 0.999939 | 0.000005 | -3.822039 | 0.057131 | 7.644078 | 100 | 0.04 | 0.2 |
34 | 72.6811 | 0.0578 | 0 | 0 | 0 | -0 | 0 | 0 | 100 | 0.04 | 0.2 |
35 | 92.5542 | 0.4089 | 2.498721 | 0.33975 | 0.030945 | -6.459557 | 21.680431 | 12.919114 | 100 | 0.04 | 0.2 |
36 | 68.5261 | 1.4149 | 0.777731 | 0.109002 | 0.011459 | -1.343853 | 15.227282 | 2.687706 | 100 | 0.04 | 0.2 |
37 | 221.5646 | 0.4789 | 123.461806 | 1 | 0 | -3.92411 | 0.000001 | 7.84822 | 100 | 0.04 | 0.2 |
38 | 170.7509 | 0.5995 | 73.121085 | 0.999887 | 0.000017 | -3.914233 | 0.058838 | 7.828466 | 100 | 0.04 | 0.2 |
39 | 230.3459 | 0.6937 | 133.08256 | 1 | 0 | -3.890546 | 0.000076 | 7.781091 | 100 | 0.04 | 0.2 |
40 | 80.9224 | 0.3775 | 0.254744 | 0.06198 | 0.012288 | -1.799764 | 6.074817 | 3.599528 | 100 | 0.04 | 0.2 |
41 | 149.1147 | 0.4015 | 50.709892 | 0.999585 | 0.000079 | -3.96887 | 0.141128 | 7.93774 | 100 | 0.04 | 0.2 |
42 | 154.4548 | 1.3478 | 59.881528 | 0.986812 | 0.000945 | -4.15239 | 6.077575 | 8.30478 | 100 | 0.04 | 0.2 |
43 | 111.8621 | 0.3368 | 14.066432 | 0.872835 | 0.016046 | -7.358537 | 13.524417 | 14.717074 | 100 | 0.04 | 0.2 |
44 | 249.4336 | 0.7692 | 152.463575 | 1 | 0 | -3.878806 | 0.000027 | 7.757613 | 100 | 0.04 | 0.2 |
45 | 40.9092 | 0.0802 | 0 | 0 | 0 | -0 | 0 | 0 | 100 | 0.04 | 0.2 |
46 | 45.2193 | 0.9449 | 0.000149 | 0.000075 | 0.000034 | -0.001537 | 0.013294 | 0.003074 | 100 | 0.04 | 0.2 |
47 | 202.1783 | 0.639 | 104.701948 | 0.999998 | 0 | -3.899249 | 0.001343 | 7.798497 | 100 | 0.04 | 0.2 |
48 | 34.6114 | 0.5786 | 0 | 0 | 0 | -0 | 0 | 0 | 100 | 0.04 | 0.2 |
49 | 249.1079 | 0.7984 | 152.250985 | 1 | 0 | -3.874283 | 0.000047 | 7.748566 | 100 | 0.04 | 0.2 |
50 | 243.348 | 1.2926 | 148.387022 | 0.999989 | 0.000001 | -3.799349 | 0.013078 | 7.598698 | 100 | 0.04 | 0.2 |
51 | 22.6406 | 1.0839 | 0 | 0 | 0 | -0 | 0 | 0 | 100 | 0.04 | 0.2 |
52 | 176.7934 | 0.8101 | 79.984302 | 0.999704 | 0.000034 | -3.891713 | 0.173691 | 7.783426 | 100 | 0.04 | 0.2 |
53 | 81.3698 | 0.965 | 1.8964 | 0.225235 | 0.018771 | -3.142908 | 23.987548 | 6.285817 | 100 | 0.04 | 0.2 |
54 | 45.657 | 0.6578 | 0.000003 | 0.000002 | 0.000001 | -0.000064 | 0.000393 | 0.000127 | 100 | 0.04 | 0.2 |
55 | 124.3565 | 1.4312 | 31.522027 | 0.897948 | 0.005986 | -5.057242 | 26.498354 | 10.114483 | 100 | 0.04 | 0.2 |
56 | 221.4462 | 0.4024 | 123.043087 | 1 | 0 | -3.936124 | 0 | 7.872247 | 100 | 0.04 | 0.2 |
57 | 135.1348 | 0.2762 | 36.238649 | 0.998746 | 0.000292 | -4.055605 | 0.294246 | 8.111209 | 100 | 0.04 | 0.2 |
58 | 229.9044 | 1.3071 | 134.998794 | 0.999966 | 0.000003 | -3.798783 | 0.037524 | 7.597567 | 100 | 0.04 | 0.2 |
59 | 88.6423 | 0.962 | 4.051583 | 0.374358 | 0.021795 | -4.590394 | 32.950661 | 9.180788 | 100 | 0.04 | 0.2 |
60 | 160.0631 | 0.2377 | 61.009565 | 1 | 0 | -3.962198 | 0.000135 | 7.924396 | 100 | 0.04 | 0.2 |
61 | 195.3775 | 0.8137 | 98.58007 | 0.999966 | 0.000004 | -3.874732 | 0.025231 | 7.749463 | 100 | 0.04 | 0.2 |
62 | 199.0841 | 0.8002 | 102.234468 | 0.999981 | 0.000002 | -3.875685 | 0.014826 | 7.75137 | 100 | 0.04 | 0.2 |
63 | 20.1315 | 0.493 | 0 | 0 | 0 | -0 | 0 | 0 | 100 | 0.04 | 0.2 |
64 | 24.4797 | 1.3944 | 0 | 0 | 0 | -0 | 0.000002 | 0 | 100 | 0.04 | 0.2 |
65 | 222.106 | 1.2492 | 126.980541 | 0.999953 | 0.000004 | -3.80847 | 0.04833 | 7.616941 | 100 | 0.04 | 0.2 |
66 | 90.7282 | 0.0963 | 0.170669 | 0.070163 | 0.023886 | -4.180226 | 3.787256 | 8.360452 | 100 | 0.04 | 0.2 |
67 | 221.9422 | 1.421 | 127.468956 | 0.999893 | 0.000008 | -3.78584 | 0.111693 | 7.571679 | 100 | 0.04 | 0.2 |
68 | 39.7003 | 0.7341 | 0 | 0 | 0 | -0.000004 | 0.000026 | 0.000007 | 100 | 0.04 | 0.2 |
69 | 35.9189 | 1.1433 | 0.000006 | 0.000004 | 0.000002 | -0.000068 | 0.000711 | 0.000135 | 100 | 0.04 | 0.2 |
70 | 196.1419 | 0.2013 | 96.943899 | 1 | 0 | -3.967921 | 0 | 7.935842 | 100 | 0.04 | 0.2 |
71 | 129.3149 | 0.8292 | 33.056405 | 0.953984 | 0.004098 | -4.982774 | 11.363931 | 9.965548 | 100 | 0.04 | 0.2 |
72 | 80.963 | 1.3099 | 2.886993 | 0.281226 | 0.018202 | -3.181578 | 31.258781 | 6.363157 | 100 | 0.04 | 0.2 |
73 | 117.3217 | 0.3256 | 18.963786 | 0.941912 | 0.008674 | -6.049593 | 7.774426 | 12.099187 | 100 | 0.04 | 0.2 |
74 | 144.0381 | 1.0976 | 48.570403 | 0.980101 | 0.001597 | -4.366893 | 7.275269 | 8.733786 | 100 | 0.04 | 0.2 |
75 | 66.2647 | 0.4745 | 0.007141 | 0.002714 | 0.000916 | -0.087317 | 0.381506 | 0.174633 | 100 | 0.04 | 0.2 |
76 | 248.8844 | 0.9783 | 152.72205 | 1 | 0 | -3.846547 | 0.000583 | 7.693094 | 100 | 0.04 | 0.2 |
77 | 120.763 | 0.7812 | 24.816416 | 0.908639 | 0.007692 | -5.640197 | 17.52717 | 11.280394 | 100 | 0.04 | 0.2 |
78 | 47.831 | 0.3448 | 0 | 0 | 0 | -0 | 0 | 0 | 100 | 0.04 | 0.2 |
79 | 97.7597 | 0.8866 | 7.925666 | 0.564409 | 0.021387 | -5.977937 | 36.242567 | 11.955875 | 100 | 0.04 | 0.2 |
80 | 72.9264 | 0.3381 | 0.01449 | 0.005537 | 0.001867 | -0.214159 | 0.671465 | 0.428317 | 100 | 0.04 | 0.2 |
81 | 36.3284 | 0.9503 | 0.000001 | 0 | 0 | -0.00001 | 0.000086 | 0.000019 | 100 | 0.04 | 0.2 |
82 | 72.6566 | 1.3591 | 1.227823 | 0.153804 | 0.013994 | -1.875393 | 20.080496 | 3.750786 | 100 | 0.04 | 0.2 |
83 | 217.7161 | 0.1156 | 118.177385 | 1 | 0 | -3.98155 | 0 | 7.963101 | 100 | 0.04 | 0.2 |
84 | 74.7411 | 1.0068 | 0.856978 | 0.125117 | 0.013734 | -1.874165 | 15.447869 | 3.748331 | 100 | 0.04 | 0.2 |
85 | 69.2745 | 0.2071 | 0.00007 | 0.000049 | 0.000032 | -0.0032 | 0.006355 | 0.0064 | 100 | 0.04 | 0.2 |
86 | 235.1683 | 0.8609 | 138.553086 | 0.999999 | 0 | -3.864669 | 0.000568 | 7.729338 | 100 | 0.04 | 0.2 |
87 | 128.7143 | 1.1791 | 34.240341 | 0.931636 | 0.004717 | -4.989813 | 18.427042 | 9.979627 | 100 | 0.04 | 0.2 |
88 | 205.7243 | 0.2937 | 106.892278 | 1 | 0 | -3.953281 | 0 | 7.906563 | 100 | 0.04 | 0.2 |
89 | 42.2941 | 0.6523 | 0 | 0 | 0 | -0.000005 | 0.000033 | 0.000011 | 100 | 0.04 | 0.2 |
90 | 117.4231 | 0.7059 | 21.379194 | 0.886457 | 0.009749 | -5.996767 | 18.975924 | 11.993535 | 100 | 0.04 | 0.2 |
91 | 187.6874 | 1.0133 | 91.662723 | 0.999697 | 0.00003 | -3.859506 | 0.210655 | 7.719012 | 100 | 0.04 | 0.2 |
92 | 246.358 | 0.1566 | 146.98261 | 1 | 0 | -3.975016 | 0 | 7.950031 | 100 | 0.04 | 0.2 |
93 | 112.6029 | 0.5156 | 15.971503 | 0.851285 | 0.014336 | -6.830949 | 18.743331 | 13.661897 | 100 | 0.04 | 0.2 |
94 | 218.1847 | 0.3805 | 119.695151 | 1 | 0 | -3.939581 | 0 | 7.879163 | 100 | 0.04 | 0.2 |
95 | 63.748 | 0.6784 | 0.02094 | 0.00646 | 0.001729 | -0.156121 | 0.95311 | 0.312242 | 100 | 0.04 | 0.2 |
96 | 117.0328 | 0.425 | 19.306389 | 0.91952 | 0.009787 | -6.213154 | 11.394479 | 12.426308 | 100 | 0.04 | 0.2 |
97 | 77.4555 | 1.3857 | 2.208343 | 0.232093 | 0.016736 | -2.638861 | 27.825824 | 5.277723 | 100 | 0.04 | 0.2 |
98 | 121.9201 | 1.2934 | 28.638374 | 0.887347 | 0.006897 | -5.232362 | 26.521107 | 10.464724 | 100 | 0.04 | 0.2 |
99 | 146.5748 | 0.0854 | 46.915746 | 1 | 0 | -3.986363 | 0 | 7.972726 | 100 | 0.04 | 0.2 |
100 | 249.835 | 1.2557 | 154.733698 | 0.999995 | 0 | -3.804507 | 0.006345 | 7.609014 | 100 | 0.04 | 0.2 |
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