This course offers an introduction to computer simulation methods for physics problems and their implementation on PCs and super computers. The covered topics include classical equations of motion, partial differential equations (wave equation, diffusion equation, Maxwell's equations), Monte Carlo simulations, percolation, phase transitions, and N-Body problems.
Learning objective
Students learn to apply the following methods: Random number generators, Determination of percolation critical exponents, numerical solution of problems from classical mechanics and electrodynamics, canonical Monte-Carlo simulations to numerically analyze magnetic systems. Students also learn how to implement their own numerical frameworks in Julia and how to use existing libraries to solve physical problems. In addition, students learn to distinguish between different numerical methods to apply them to solve a given physical problem.
Content
Introduction to computer simulation methods for physics problems. Models from classical mechanics, electrodynamics and statistical mechanics as well as some interdisciplinary applications are used to introduce modern programming methods for numerical simulations using Julia. Furthermore, an overview of existing software libraries for numerical simulations is presented.
Lecture notes
Lecture notes and slides are available online and will be distributed if desired.
Literature
Literature recommendations and references are included in the lecture notes.
Prerequisites / Notice
Lecture and exercise lessons in english, exams in German or in English
Competencies
Subject-specific Competencies
Concepts and Theories
assessed
Method-specific Competencies
Analytical Competencies
assessed
Performance assessment
Performance assessment information (valid until the course unit is held again)
The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination
oral 20 minutes
Additional information on mode of examination
Prüfungssprache: Deutsch oder Englisch / Language of examination: English or German.
For the first 10 minutes you will be provided with a sheet of questions to answer. Please take the time to write down your solutions and/or sketch them on a piece of paper.
The remaining 10 minutes will be dedicated to discussing the questions with me. Both the written solutions/sketches from the preparation and the discussion with me will be taken into account when grading your exam.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.
Performance assessment as a semester course