13007 - Computational Physics II - Partial Differential Equations Modulübersicht

Module Number: 13007 - module is no longer offered from SS 2025
Module Title:Computational Physics II - Partial Differential Equations
  Computational Physics II - Partielle Differentialgleichungen
Department: Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
Responsible Staff Member:
  • Prof. Dr. rer. nat. habil. Bestehorn, Michael
Language of Teaching / Examination:English
Duration:1 semester
Frequency of Offer: On special announcement
Credits: 6
Learning Outcome:After successfully completing the module, students have learned how to solve problems of theoretical physics numerically as well as data handling and data analysis using computers. They are able to discuss physical problems and implement solutions numerically.
In addition the module supports further competences as e. g. carefullness, persistance, curiosity, working on one's own initiative.
Contents:Numerical implementations of problems in mechanics, quantum mechanics, electrodynamics, nonlinear dynamics, hydrodynamics.

Numerical topics:
  1. Partial differential equations: basics
  2. Laplace equation, diffusion equation, Ginzburg-Landau-equation
  3. Galerkin methods
  4. Finite Differences and Finite Elements
  5. Waves, linear and nonlinear
  6. Pattern Formation
  7. Volume of Fluid Method 
Programming language:
Fortran, C or similar languages
Recommended Prerequisites:
  • knowledge of theoretical physics within the bachelor course
  • Knowledge of module 13408 Computational Physics
  • Programming skills in Fortran, C or C++ are useful.
Mandatory Prerequisites:
Forms of Teaching and Proportion:
  • Lecture / 2 Hours per Week per Semester
  • Exercise / 2 Hours per Week per Semester
  • Self organised studies / 120 Hours
Teaching Materials and Literature:
  • W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, "Numerical Recipes", Cambridge University Press (1988)
  • R. H. Landau, M. J. Paez, "Computational Physics - Problem solving with computers", Wiley & Sons, (1997)
  • C. A. J. Fletcher, "Computational Techniques for Fluid Dynamics", Vol. 1, Springer-Verlag (2005)
  • M. Bestehorn, "Computational Physics", De Gruyter (2018)
  • H. Haken, "Synergetics", Springer (2012)
  • J. Argyris, G. Faust, M. Haase, R. Friedrich, "An Eploration of Dynamical Systems and Chaos", Springer (2015)
Module Examination:Prerequisite + Final Module Examination (MAP)
Assessment Mode for Module Examination:Prerequisite:
  • Successful completion of exercise assignments (75% must be reached)
Final module examination:
  • Oral examination, 40 min. (presentation, 30 min. followed by discussion, approx. 10 min.) of one selected numerical problem
Evaluation of Module Examination:Performance Verification – graded
Limited Number of Participants:None
Part of the Study Programme:
  • no assignment
Remarks:
  • Study programme Physics M.Sc.: Compulsory elective module in complex „Physical Specialization with Theoretical Focus“, topic area „Theory, Simulation and further topics“
  • Study programme Applied Mathematics M.Sc.: Compulsory elective module in complex „Applications“, field  „Physics“
Self organised studies:
  1. implementation of numerical problems of lectures
  2. solving of problems in exercises
Students may use their own notebooks (however, software installation is not supported).
Module Components:
  • Lecture: Computational Physics II - Partial Differential Equations
  • Accompaning exercise
  • Related Examination
Components to be offered in the Current Semester:
  • no assignment
Follow-up Module/s: Phase-out module since: 14.01.2025
  • without Follow-up Module/s