Basic HTML version of Foils prepared 14 October 1997

Foil 4 Particle Applications - Ordinary Differential Equations (ODE's)

From Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95/96/97. by Nancy McCracken and Geoffrey C. Fox


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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