Stochastic Timing Machinery, Differential Equations, and Simulation (Scripts) Publisher's description
from Ellis Cooper
Stochastic timing machinery (STM) is a diagram-oriented parallel programming language
Stochastic timing machinery (STM) is a diagram-oriented parallel programming language. Examples in electrical engineering, chemistry, game theory, and physics lead to associated ordinary and stochastic differential and partial differential equations. We oп¬Ђer an abstract mathematical deп¬Ѓnition of an algorithm for interpreting timing machine diagrams, and compact MATLAB code for implementing simulations. In particular, a Brownian particle in an arbitrary force п¬Ѓeld is modeled by a stochastic timing machine associated with the Smoluchowski Equation. For diversity, a stochastic version of the PrisonerвЂ™s Dilemma game is simulated.
We expect the mathematical theory and the technology for simulation to be accessible to a high school AP-level physics, calculus and statistics student. The STM interpreter offers opportunities for efficient parallel simulations and can compute exact solutions of associated differential equations. The technique is similar in principle to the Gillespie algorithm in computational chemistry.
System Requirements:MATLAB 7.9 (2009b)
Program Release Status: New Release
Program Install Support: Install and Uninstall