C BASED COMPUTATIONAL PHYSICS PH362

K.L. Jones , Physics

• Finite difference methods for numerical solution of equations of motion
  • Transformation of a second order differential equation in to two first order equations
  • Solution by forward differences (Euler Method).
  • Physical systems described by sets of ordinary differential equations - accurate solutions.
  • The fourth order Runge - Kutta method
  • The routine runge
  • Use of global variables in C programs
• Example - The earthquake-proof skyscraper.
  • Formulation of the problem
  • Where to get the C-code provided
  • Compiling and linking programs - Unix make command
  • Inputs to cplos
  • Things to do and questions to answer
• DYNAMICAL PROBLEMS BY SOLUTION OF HAMILTON'S EQUATIONS
  • The flight path of a spacecraft in the Earth-Moon system
  • Formulation of Hamilton's equations for the problem
  • Adaptive step control in the Runge-Kutta method
  • Things to do
• About this document ...