poisson_simulation, a C++ code which simulates a Poisson process in which events occur uniformly at random, with an average waiting time of Lambda, creating output for graphics by gnuplot.
Note that the Poisson distribution therefore also describes the distribution of distances from one point to the next, assuming the points are distributed uniformly at random along a line, with average density Lambda per unit length.
The computer code and data files described and made available on this web page are distributed under the MIT license
poisson_simulation is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
BROWNIAN_MOTION_SIMULATION, a C++ code which simulates Brownian motion in an M-dimensional region.
DUEL_SIMULATION, a C++ code which simulates N repetitions of a duel between two players, each of whom has a known firing accuracy.
FAIR_DICE_SIMULATION, a C++ code which simulates N tosses of 2 dice, making a histogram of the results.
gnuplot_test, C++ codes which illustrate how a program can write data and command files so that gnuplot can create plots of the program results.
HIGH_CARD_SIMULATION, a C++ code which simulates a situation in which you see the cards in a deck one by one, and must select the one you think is the highest and stop; the program uses GNUPLOT for graphics.
ISING_2D_SIMULATION, a C++ code which carries out a Monte Carlo simulation of an Ising model, a 2D array of positive and negative charges, each of which is likely to "flip" to be in agreement with neighbors.
LIFE_OPENGL, a C++ code which uses OpenGL to display the evolution of John Conway's "Game of Life".
REACTOR_SIMULATION, a C++ code which a simple Monte Carlo simulation of the shielding effect of a slab of a certain thickness in front of a neutron source. This program was provided as an example with the book "Numerical Methods and Software."
THREE_BODY_SIMULATION, a C++ code which simulates the behavior of three planets, constrained to lie in a plane, and moving under the influence of gravity, by Walter Gander and Jiri Hrebicek.