# Courses Catalogue

### Syllabus of the course: * Advanced Methods of Computational Physics *

In this web page we provide the syllabus of the course Advanced Methods of Computational Physics, offered by the Department of Physics.

The list of the courses offered during the current accademic year is available here.

The list of all courses offered by the Department of Physics is available here.

Code | Φ-669 |
---|---|

Type | B |

ECTS | 5 |

Hours | 4 |

Semester | Spring |

Instructor | L. Lymperakis |

Program | Tuesday 10:00-13:00, Computer Room 3 Thursday 10:00-13:00, Computer Room 3 |

Web page | https://eclass.physics.uoc.gr/courses/PH351/ |

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. |

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. |

Bibliography | “Computational Physics” - S.E. Koonin, D.C. Meredith |

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