Lehrinhalt:
Modul 13027
Numerical implementations of problems in mechanics, quantum mechanics, electrodynamics, nonlinear dynamics.
Numerical topics:
- Maps and Iterations, Fractals
- Eigenvalue problems, linear equations
- Ordinary differential equations: Explicit and Implicit methods, Initial value problems, Runge-Kutta methods
- Ordinary differential equations: Boundary value problems, Finite differences
Programming language:
Fortran, C or similar languages
Literatur:
- 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)
- W. Kinzel, G. Reents, "Physik per Computer", Spektrum (1996)
- C. A. J. Fletcher, "Computational Techniques for Fluid Dynamics", Vol. 1, Springer-Verlag (2005)
- J. Argyris, G. Faust, M. Haase, R. Friedrich, "Die Erforschung des Chaos", Springer-Verlag (2010)
- J. Stoer, R. Bulirsch, "Numerische Mathematik 1", Springer-Verlag (2007)
- J. Stoer, R. Bulirsch, "Numerische Mathematik 2" Springer-Verlag (2007)
|