Table C.1
Total Newton-Raphson step count for different stepper choices.
density n | 102 | 102 | 102 | 102 | 102 | 102 | 104 | 104 | 104 | 104 | 104 | 104 | 106 | 106 | 106 | 106 | 106 | 106 | total |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
mass M | 50 | 50 | 50 | 103 | 103 | 103 | 50 | 50 | 50 | 103 | 103 | 103 | 50 | 50 | 50 | 103 | 103 | 103 | steps |
FUV field χ | 1 | 103 | 106 | 1 | 103 | 106 | 1 | 103 | 106 | 1 | 103 | 106 | 1 | 103 | 106 | 1 | 103 | 106 | |
fstep,A | 82.4K | 68K | 922K | 95.1K | 171K | 264K | 8.17M | 246K | 304K | 4.81M | 4.71M | 354K | 4.85M | 11.3M | 29.7M | 6.38M | 9.31M | 22.7M | 104M |
(11,2,0.9) | 84.1K | 66.8K | 360K | 97K | 175K | 569K | 12.3M | 167K | 263K | 2.72M | 1.17M | 239K | 7.86M | 11.1M | 21.5M | 5.47M | 8.52M | 16.1M | 88.7M |
(10,5,0.5) | 130K | 85.3K | 123K | 139K | 320K | 142K | 6.23M | 444K | 459K | 6.59M | 697K | 1.03M | 44.6M | 11.3M | - | - | 9.55M | 12.8M | 94.6M |
(10,5,0.6) | 116K | 93.9K | 98.3K | 120K | 268K | 648K | 8.16M | 724K | 389K | 3M | 3.59M | 345K | - | 8.44M | 10.2M | - | 8.91M | 13M | 58.1M |
(10,5,0.7) | 99.3K | 113K | 127K | 157K | 219K | 133K | 6.66M | 783K | 551K | 2.38M | 1.84M | 525K | 6.81M | 7.37M | 9.94M | 12.3M | 5.91M | 14.1M | 70M |
(10,5,0.8) | 96.2K | 382K | 117K | 101K | 956K | 549K | 1.17M | 610K | 352K | 6.42M | 1.08M | 245K | 10.6M | 7.5M | 8.39M | 20.1M | 7.26M | 11.8M | 77.7M |
(10,5,0.9) | 83.6K | 169K | 505K | 96.6K | - | 377K | 1.45M | 698K | 364K | 2.37M | 2.67M | 367K | 11.5M | 9.17M | 9.8M | 10.6M | 12.4M | 8.46M | 71.1M |
(10,5,1.0) | 249K | 89.1K | 622K | 106K | 202K | - | 1.29M | 272K | 244K | 1.54M | 1.16M | 250K | 21.2M | 12M | 15.5M | 8.14M | 7.49M | 21.5M | 91.9M |
(11,2,0.9)new | 84.1K | 66.8K | 348K | 97K | 175K | 272K | 4.21M | 167K | 261K | 9.22M | 692K | 474K | 15.1M | 13.3M | 22.4M | 14.7M | 9.13M | 15.8M | 107M |
(10,5,0.5)new | 130K | 75.9K | 108K | 139K | 320K | 115K | 6.23M | 444K | 358K | 6.59M | 588K | 1.03M | 44.6M | 30M | - | - | 9.55M | 19.2M | 120M |
(10,5,0.6)new | 116K | 93.9K | 89.7K | 120K | 253K | 350K | 8.16M | 724K | 389K | 3M | 1.4M | 561K | - | 53.6M | 10.8M | - | 7.9M | 13.6M | 101M |
(10,5,0.7)new | 99.3K | 115K | 119K | 157K | 246K | - | 4.56M | 783K | - | 8.06M | 7.57M | 457K | 40.8M | - | 10.7M | 12.3M | 16.2M | 12.2M | 114M |
(10,5,0.8)new | 96.2K | 320K | 76.4K | 101K | 955K | 549K | 1.17M | 610K | 684K | 6.42M | - | 363K | - | 31.5M | 8.39M | 20.1M | 6.78M | - | 78.1M |
(10,5,0.9)new | 83.6K | 173K | 469K | 96.6K | - | 303K | 1.23M | 698K | 419K | 1.21M | 7.13M | 261K | - | 17M | 10.1M | 18.8M | 12.4M | 8.1M | 78.4M |
(10,5,1.0)new | 249K | 76.8K | 470K | 106K | 182K | 655K | 986K | 272K | 280K | 1.36M | - | 178K | - | 12M | 15.5M | - | 7.49M | 21.5M | 61.4M |
(20,5,0.5) | 131K | 69.7K | 71.5K | 130K | 237K | 87.3K | 3.49M | 520K | 350K | 15.4M | 754K | 493K | 8.12M | 10.2M | 6.84M | 4.8M | 10.2M | 9.98M | 71.9M |
(20,5,1.0) | 143K | 64.1K | 502K | 91.3K | 172K | 317K | 2.92M | 317K | 284K | 8.89M | 2.77M | 302K | 6.96M | 8.02M | 13.8M | 92M | 5.79M | 12M | 155M |
(2,5,0.5) | 586K | 286K | 143K | 594K | 813K | 525K | - | 1.24M | 553K | - | 67.9M | 791K | - | 12.6M | 23.8M | - | 11.5M | 18.9M | 140M |
(2,5,1.0) | 1.02M | 800K | 650K | 1.76M | 2.25M | - | 8.93M | 1.5M | 341K | 11.6M | 10.8M | 273K | - | 12.5M | 17.1M | 13.3M | 87.1M | - | 170M |
(3,3,0.3) | 460K | 421K | 318K | 2.05M | 1.13M | 585K | 83.3M | 10.4M | 846K | 74.3M | - | 582K | 141M | 19.9M | 10.9M | 181M | 23.6M | 14.9M | 565M |
(3,3,1.0) | 289K | 158K | 362K | 227K | 755K | 343K | 26.4M | 1.46M | 276K | - | - | 294K | 109M | 11.3M | 34.8M | 313M | 8.62M | 31.9M | 538M |
(5,2,0.5) | 135K | 69.5K | 107K | 140K | 234K | 61.2K | 14M | 515K | 333K | 20.9M | 1.6M | 815K | - | 9.55M | 39.7M | 12.8M | 8.86M | 44.1M | 154M |
(5,2,1.0) | 86.1K | 61.1K | 743K | 91.2K | 174K | 501K | 3.39M | 273K | 510K | 4.4M | 4.84M | 327K | 106M | - | 17.3M | 11.3M | 6.52M | 16.8M | 173M |
(5,5,0.5) | 1.14M | 707K | 215K | 786K | 1.32M | 552K | 39.6M | 765K | 763K | - | 5.57M | 1.08M | 266M | 51.5M | 11.6M | 242M | 11.8M | 15.2M | 650M |
(5,5,1.0) | 720K | 314K | 228K | 282K | 1.15M | 203K | - | 729K | 294K | 4.34M | - | 320K | 281M | 12.7M | - | 276M | 13M | - | 591M |
adaptive 1 | 83.7K | 68.2K | 1.12M | 98.4K | 171K | 377K | 6.11M | 187K | 268K | 4.65M | 2.45M | 211K | 3.5M | 6.65M | 6.17M | 3.39M | 6.05M | 7.32M | 48.9M |
Notes. The Tanh stepper fstep,Tanh is tested with different values (ω−, ω+, λ) as indicated in the first column. The subscript ()new indicates no reset to previous density solution if convergence was not met. See text for details. Dashes mark models that did not converge at all. The last column gives the row total excluding not converged models. (Large numbers are abbreviated with K and M indicating 103 and 106, respectively).
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