PHYS 4840: Mathematical and Computational Physics 2

Code samples

Name	Description
ErrorFunction.py	The error function by numerical integration
linalg_svd_code.py	Singular value decomposition
Make_RndmData.py	Generate pseudo-random data and write to a csv file
odesim_MoDecay.py	Solve a system of simultaneous 1-D ODEs
odesim_pendulum_adapt.py	Solve a system of simultaneous ODEs using adaptive step size
odesim_DrivenSHM_adapt.py	SHO with periodic driving function
laplace.py	Laplace equation of a box by Jacobi method
poisson.py	Poisson equation of a region with two charges by over-relaxed Gauss-Seidel
heat.py	1-D heat equation by Forwarward Time-Centered Space (FTCS) method
WaveEqn_REB.py	Wave equation by Fourier transform spectral method
decay.py	Simulation of first-order radioactive decay by random sampling of decay probabilities over time steps
craps.py	Simuilates rolling two six-sided dice and plots a histogram of the resulting sums
decay_expo.py	First order decay by drawing variates for decay times from an exponential distribution
N-Body_Problem.py	Finds the trajectories of N bodies resulting from their mutual gravity, starting with their masses, initial positions, and initial velocities.  Uses fourth-order Runge-Kutta with adaptive time step.