Once #12 has been completed it would be good as a comparison to the polynomial
chaos method to look at doing a Monte-Carlo simulation on the previous problems.
This means:
Sampling various values of the parameters a, b and c from a distribution and
solving the resulting system.
Computing things like the mean and standard deviation of the solution
This will give a good comparison to the polynomial chaos approach and should be
relatively easy to do with the existing codebase.
Once #12 has been completed it would be good as a comparison to the polynomial chaos method to look at doing a Monte-Carlo simulation on the previous problems.
This means:
a
,b
andc
from a distribution and solving the resulting system.This will give a good comparison to the polynomial chaos approach and should be relatively easy to do with the existing codebase.