Computational Physics II - Partial Differential Equations
Computational Physics II - Partielle Differentialgleichungen
6 CPirregularlyENno longer offered
Prerequisites
Recommended, as written
• knowledge of theoretical physics within the bachelor course • Knowledge of module 13408 Computational Physics • Programming skills in Fortran, C or C++ are useful.
Contents
Numerical implementations of problems in mechanics, quantum mechanics, electrodynamics, nonlinear dynamics, hydrodynamics. Numerical topics: • Partial differential equations: basics • Laplace equation, diffusion equation, Ginzburg-Landau-equation • Galerkin methods • Finite Differences and Finite Elements • Waves, linear and nonlinear • Pattern Formation • Volume of Fluid Method Programming language: Fortran, C or similar languages
Learning outcomes
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.
Assessment
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
Literature (6)
- 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)
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: • implementation of numerical problems of lectures • solving of problems in exercisesStudents may use their own notebooks (however, software installation is not supported).
Source: BTU's module description · retrieved 15 Oct 2026Original