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Meeting 2015 08 28

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MSE is the Mean Squared Error
MSE = 1/n * sum_{i=1}^{n} (G4_i - AN_i)^2

Experiment 1 - Vary epsilon in G4

(see August 21 meeting)

/N02/det/stepMax 20. mm (i.e., stepMax = 20mm)
epsilonMax = epsilonMin = epsilon
The mean square error doesn't seem to vary.
The error, however, keeps growing with distance.

epsilon Simulation Time Integration Steps Mean Square Error sqrt(MSE)
1.0e-3 0m13.725s 16500010 294 17.14
1.0e-4 0m13.725s 16500010 294 17.14
1.0e-5 0m13.725s 16500010 294 17.14
1.0e-6 0m21.815s 38500010 294 17.14
1.0e-7 0m27.980s 60500010 294 17.14
1.0e-8 0m41.054s 104499999 294 17.14
1.0e-9 0m55.830s 159500010 294 17.14
1.0e-10 1m25.948s 269499999 294 17.14
1.0e-11 2m17.996s 456500010 294 17.14
1.0e-12 3m50.224s 786518324 294 17.14

A few plots for different values of epsilon:


The 3 plots look exactly the same!
The output for those epsilon values is different, though.

Experiment 3 - Vary DeltaQ in PD

Simulated with QSS3 method
DeltaQmin = DeltaQ * 1e-3
Several values of the table were left blank deliberately as they weren't calculated yet

DeltaQ Simulation Time Integration Steps Mean Square Error [mm^2] sqrt(MSE)[mm]
1.0e-1 0.41s 5.60e5
1.0e-2 0.42s 6.40e5
1.0e-3 1.33s 2.40e6 704.43 26.54
1.0e-4 8.89s 1.42e7 568.32 23.83
1.0e-5 16.3s 3.08e7 86.89 9.32
1.0e-6 35.6s 6.64e7 56.79 7.54
1.0e-7 77.6s 1.43e8 57.45 7.58
1.0e-8 165s 3.09e8
1.0e-9 354s 6.64e8
1.0e-10 740s 1.43e9
1.0e-11 1630s 3.09e9
1.0e-12

A few plots for different values of DeltaQ:





The last two plots look exactly the same