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Advanced Computational Physics: Course Outline (PH-705)

This course introduces several numerical simulation techniques used in computational physics, including Monte Carlo statistical methods, and their application to a variety of physical problems.

Course Outline

  • Computational Physics definition: limits of computing. 
  • Simulation and modeling simulation techniques.
  • Introduction to software for simulation.
  • Roles of numerical techniques in simulation.
  • Finite difference approach in deterministic methods.
  • Stochastic simulation.
  • Molecular dynamics simulations.
  • Monte Carlo method.
  • Monte Carlo simulation.
  • The Hetropoles algorithm.
  • Application in statistical physics.
  • Numerical renormalization.
  • The scaling concept.
  • Renormalization with Monte Carlo simulation.
  • Introduction to Chaotic dynamics.
  • At least two of the packages; Mathcad, Matlab or Mathematica.

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