Tagged Questions
1
vote
1answer
43 views
Quasi-random sequence on the unit $2$-sphere for Monte-Carlo based method
Please forgive my possible misuse of the appropriate definitions. I'm looking for a quasi-random sequence of directions in the unit $2$-sphere, to be used in a Monte-Carlo method to calculate an ...
0
votes
1answer
245 views
Why are random numbers necessary for a Monte Carlo simulation?
This may be somewhat of a question with an obvious answer, but I can not seem to understand the necessity of "truly" random numbers to make a Monte Carlo simulation a good one.
I understand that not ...
2
votes
3answers
184 views
Validating results of a Monte Carlo integration
Suppose I want to use the Monte Carlo integration method to compute the following integral
$\int_D (e^{x^{2}} + e^{y^{2}}) \; dx \; dy$ where $D$ is some regular hexagon. I have managed to write the ...
0
votes
0answers
131 views
Uniform Random Points on a triangle using only edge plane normals
For a triangle $ABC$ in 3D (each point has x, y, z coordinates) is it possible to generate uniform random points on the triangle from only the following data:
Normal of the triangle plane $N = ...
5
votes
1answer
233 views
How is a Halton sequence related to a Latin hypercube?
I currently use a Halton sequence to choose parameter sets for a prognostic model (e.g. using metabolic rate and protein content parameters to predict growth rate).
From my understanding, both a ...
