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Questions about random number generation and the properties of numbers so generated.
0
votes
1
answer
391
views
Generate a small random disturbance on a flat surface for NDSlove
I want to generate a small random perturbation on a flat surface defined on a square domain, e.g. 1 + 0.05 rand(x,y), which can be used as initial condition with periodic boundary conditions in NDSolve … How can I generate a random disturbance consisting with periodic boundary condition meanwhile. …
3
votes
1
answer
336
views
Failed to create a special random-disturbed initial condition for partial differential equation [closed]
I try to use BSplineFunction to creat a initial condition for NDSolve which has periodic boundary condition, that is realized by producing a coarse grid of random number:
ini = 1 + c*BSplineFunction[RandomReal …
2
votes
1
answer
46
views
Help with evaluation of the differential of a BSplineFunction?
It can be useful to generate a smooth random function over $[-L,L]$ with BSplineFunction:
L=10;
SeedRandom[1]
f[x_] = BSplineFunction[RandomReal[{-1, 1}, 20], SplineClosed -> True][x/(2*L)]
It is easy …