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6 votes
1 answer
440 views

Implementing a joint differential equation and eigenvalue solver

I've written a Python script to solve a system of coupled differential equations and then use the results to solve an eigenvalue problem. The full problem is: \$\frac{d^2}{dr^2} K(r) = \frac{K(r)}{r^2}...
Amirhossein Rezaei's user avatar
3 votes
1 answer
227 views

Calculating pi via collisions

This code calculates pi via collisions; it asks for a user input of N which determines the mass of the second block. It is fully working, it just takes forever to run when N >= 2. I want to be able ...
Maria's user avatar
  • 33
2 votes
1 answer
864 views

Estimating Pi with random darts on dartboard - high complexity issues

I've been trying to write nice snippet of code to simulate pi estimation by randomly throwing darts on a dartboard. While running the following code on high but reasonable numbers my mac doesn't plot. ...
oba2311's user avatar
  • 197
5 votes
1 answer
2k views

Evaluating a series of Legendre polynomials

The following function represents the electrostatic potential, in spherical coordinates, due to a ring of charge \$q=1\$ and radius \$R=1\$, placed in the plane \$x\$-\$y\$: $$\phi(r,\theta) = \sum_{...
vagoberto's user avatar
  • 153