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64 lines (63 loc) · 4.57 KB
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Approximation Errors (absolute %, relative to kh_numeric) for k0h in [0.0001, 2π]
Rank Method AvgErr MaxErr k0h_MaxErr Time1M
1 kh_numeric 0.0000000% 0.0000000% 0.0000 0.31
2 Pade(2025)_11 0.0000000% 0.0000000% 0.0001 1.13
3 Pade(2025)_8 0.0000000% 0.0000000% 0.0001 0.77
4 Pade(2025)_12 0.0000000% 0.0000000% 0.0001 1.12
5 Pade(2025)_13 0.0000000% 0.0000000% 0.0001 1.15
6 Pade(2025)_9 0.0000000% 0.0000001% 0.0001 0.83
7 Pade(2025)_10 0.0000000% 0.0000001% 0.0001 0.94
8 Pade(2025)_7 0.0000000% 0.0000075% 5.3306 0.65
9 Pade(2025)_6 0.0000000% 0.0000002% 0.7686 0.57
10 Carvalho(2025)_1 0.0000003% 0.0000042% 0.3256 0.33
11 Simarro&Orfila(2013) 0.0000005% 0.0000082% 0.0359 0.18
12 Pade(2025)_4 0.0000136% 0.0003311% 0.0001 0.41
13 Pade(2025)_5 0.0000186% 0.0064444% 2.9490 0.46
14 Vatankhah(2013)_1 0.0004901% 0.0017590% 0.9515 0.45
15 Pade(2025)_3 0.0006188% 0.0066566% 0.0001 0.32
16 Carvalho(2025)_2 0.0028329% 0.0167221% 1.2003 0.14
17 Hunt(1979)_9 0.0035762% 0.0081503% 3.7892 0.17
18 Fenton&McKee(1990)_1 0.0055981% 0.0511137% 0.4393 0.07
19 Pade(2025)_2 0.0059286% 0.1018976% 0.0001 0.23
20 Wu&Thornton(1986) 0.0069848% 0.0342738% 0.7089 0.11
21 Vatankhah(2013)_2 0.0085449% 0.0188902% 0.0705 0.13
22 Carvalho(2025)_3 0.0094391% 0.0444630% 1.1274 0.22
23 Yamaguchi(2007)_10 0.0094391% 0.0444630% 1.1274 0.18
24 Carvalho(2025)_4 0.0097978% 0.0501488% 0.3463 0.07
25 Beji(2013) 0.0164113% 0.0442262% 0.2998 0.24
26 Carvalho(2025)_5 0.0293525% 0.0760247% 1.5603 0.28
27 Carvalho(2025)_6 0.0296085% 0.0654110% 0.5769 0.24
28 Carvalho(2025)_7 0.0308926% 0.1351853% 1.3863 0.10
29 Hunt(1979)_5 0.0385834% 0.0783780% 1.8098 0.08
30 You(2002) 0.0451224% 0.5804859% 1.9996 0.03
31 Nielsen(1982) 0.0451224% 0.5804859% 1.9996 0.02
32 Carvalho(2025)_8 0.0642401% 0.1698012% 2.6550 0.06
33 Carvalho(2025)_9 0.0668541% 0.2037817% 2.6569 0.17
34 Carvalho(2025)_10 0.0729712% 0.2712270% 0.3941 0.19
35 Carvalho(2025)_11 0.0742522% 0.2609919% 0.3872 0.25
36 Yu(2014) 0.0863942% 0.3291155% 0.0843 0.14
37 Yamaguchi(2007)_9 0.0883941% 0.3122414% 1.6590 0.12
38 Carvalho(2025)_12 0.0892311% 0.4009798% 0.9621 0.09
39 Pade(2025)_1 0.1226442% 0.6485218% 0.0001 0.14
40 Carvalho(2025)_13 0.1267865% 0.3714239% 0.0007 0.17
41 Yamaguchi(2007)_2 0.1888776% 0.7321854% 0.1792 0.33
42 Carvalho(2025)_14 0.2085362% 1.2784690% 0.2200 0.18
43 Gilbert(2000) 0.2292764% 0.7930431% 0.4858 0.00
44 Yamaguchi(2007)_8 0.2554179% 1.1092228% 1.0287 0.23
45 Guo(2002) 0.2863639% 0.7571934% 1.7822 0.21
46 Carvalho(2025)_15 0.2925759% 1.3110942% 0.1421 0.05
47 Carvalho(2025)_16 0.3101789% 1.4216558% 0.1365 0.13
48 Guan&Ju(2005) 0.3393654% 0.4970393% 3.5938 0.06
49 Carvalho(2025)_17 0.3571345% 1.8310303% 0.3281 0.16
50 Yamaguchi(2007)_7 0.3597263% 1.0313632% 1.6848 0.26
51 Carvalho(2025)_18 0.3724391% 1.1289804% 1.4912 0.04
52 Carvalho(2025)_19 0.4540868% 1.3892626% 0.3067 0.00
53 Carvalho(2025)_20 0.5191037% 2.0235808% 1.1161 0.23
54 Fenton&McKee(1990)_2 0.6716352% 1.6314251% 0.3400 0.15
55 Yamaguchi(2007)_1 0.7077884% 1.5428393% 1.9814 0.20
56 Yamaguchi(2007)_5 0.8704391% 2.0361583% 1.8695 0.21
57 Eckart(1951) 1.1926080% 4.9797834% 0.6938 0.05
58 Yamaguchi(2007)_6 1.2101780% 5.2587798% 0.7403 0.04
59 Yamaguchi(2007)_3 1.4889834% 3.1473467% 1.8060 0.03
60 Iwagaki(2007) 1.4889834% 3.1473467% 1.8060 0.03
61 Yamaguchi(2007)_4 1.5872652% 3.1772841% 0.4268 0.10