Code
Φ-669
Level
Graduate
Category
B
Teacher
L. Lymperakis
ECTS
5
Hours
4
Semester
Spring
Display
Yes
Offered
Yes
Teacher Webpage
Goal of the course
This course is aimed at graduate students. It consists of 4 units, in each of which the students develop their own numerical code and present a numerical simulation on a problem of their choice. The presentation of the theoretical background as well as numerical “experiments” are taking place at the computer rooms.
Program
Tuesday 10:00-13:00, Computer Room 3
Thursday 10:00-13:00, Computer Room 3
Thursday 10:00-13:00, Computer Room 3
Syllabus
1. partial differential equations – elliptic (Poisson), parabolic (diffusion, Schroedinger), hyperbolic (wave equation);
2. eigenvalue problems – diagonalization techniques, harmonic lattice eigenfrequencies, quantum eigenstates, eigenvalues, quantum time evolution.
3. Molecular dynamics: Verlet algorithm, simulations in various thermodynamic ensembles, nonlinear dynamical systems.
4. Monte-Carlo, elements of probability theory, Metropolis algorithm, Ising model.
2. eigenvalue problems – diagonalization techniques, harmonic lattice eigenfrequencies, quantum eigenstates, eigenvalues, quantum time evolution.
3. Molecular dynamics: Verlet algorithm, simulations in various thermodynamic ensembles, nonlinear dynamical systems.
4. Monte-Carlo, elements of probability theory, Metropolis algorithm, Ising model.
Bibliography
“Computational Physics” - S.E. Koonin, D.C. Meredith
