HTML version of Scripted Foils prepared 28 December 1996

Foil 3 Particle Applications - Ordinary Differential Equations (ODE's)

From CPS615-Discussion of Ordinary Differential Equations and Start of Parallel N-Body Algorithm Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 10 October 96. by Geoffrey C. Fox *
Secs 211.6
1 Consider Models of physical systems represented as sets of particles rather than densities (fields) evolving over time
2 Examples:
  • the solar system
  • an electrical or electonic network
  • a globular star cluster
  • the atoms in a crystal vibrating under interatomic forces
  • the molecule rotating and flexing under interatomic force
3 Laws of Motion are typically ordinary differential Equations
4 Ordinary means differentiate wrt One Variable -- typically time
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