Basic HTML version of Foils prepared February 25 2000

Foil 5 Applications reducing to Coupled set of Ordinary Differential Equations

From Parallel Programming for Particle Dynamics Extra Foils Computational Science CPS615 -- Spring 2000 Semester. by Geoffrey C. Fox
Another set of models of physical systems represent them as coupled set of discrete entities evolving over time
  • Instead of ?(x,t) one gets ?i(t) labeled by an index i
  • Discretizing x in continuous case leads to discrete case but in many cases, discrete formulation is fundamental
Within coupled discrete system class, one has two important approaches
  • Classic time stepped simulations -- loop over all i at fixed t updating to
  • Discrete event simulations -- loop over all events representing changes of state of ?i(t)

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