Department of Physics

18207  Computational Physics    

Course Webpage: https://eclass.uoa.gr/courses/PHYS186

Course Content

• Introduction: Numerical integration. Solving ordinary differential equations.
• Solving partial differential equations: Initial value problems (thermal diffusion, wave equation, time-dependent Schrödinger equation). Boundary-value problems (Poisson equation, applications to electromagnetic problems, introduction to finite element methods).
• Monte Carlo methods: Integration. Simulations.
• Stochastic processes: Markov processes. Master equation. Applications of random-walk simulations.
• Stochastic differential equations: Fokker-Planck equation. Langevin equation.
• Metropolis algorithm: Ising model. Quantum Monte Carlo simulations. Finding the ground state of quantum mechanical systems. Phase space simulations.