Nonlinear physics
Numerical methods for complex systems I
Winter semester 2016/2017
Lecture with tutorials
Course number in the course overview: 116334
Lecturers, organization, dates & exams
Lecturer
ITP, Wilhelm-Klemm-Straße 9, 48149 Münster, room 316
Tel.: +49 251 83-34923, email: gurevics(at)uni-muenster.deDates & locations
Lecture Thu., 12:15–13:45 KP/TP 304 Start: 20.10.2016 Tutorials Thu., 12:15–13:45 KP/TP 304 Start: on arrangement Credit
The mere attendance of the lecture is valued at 2 CP. If the tutorials are completed as well (> 70 %), 3 CP are awarded. For this, the solutions to the problems must be handed in before the next lecture. If needed, a grade can also be awarded based on the solved problems.
Contents & literature
Contents of the lecture
The lecture treats numerical methods for the solution of ordinary and partial differential equations which describe structure formation in systems far from stability.
Literature
- David Acheson, From Calculus to Chaos, Oxford University Press, New York, 1997
- J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer, New York, 1983
- Steven H. Strogaz. Nonlinear Dynamics and Chaos. Perseus Books Publishing, NewYork, 1994
- Michael Tabor. Chaos and Integrability in Nonlinear Dynamics: An Introduction. A Wiley-Interscience Publication, 1989
- J. Argyris, G. Faust, M. Haase, R. Friedrich, Die Erforschung des Chaos, Springer 2010
- John H. Mathews and Kurtis D. Fink, Numerical Methods Using Matlab, Prentice Hall, New York, 1999
- William H. Press, Saul A. Teukolsky, and William T. Vetterling. Numerical Recipes in C: The Art of Scientific Computing. Cambridge University Press, 1993
- Hans Rudolf Schwarz and Norbert Köckler. Numerische Mathematik. Teubner, Wiesbaden, 2006
- Josef Stoer and Roland Bulirsch. Numerische Mathematik 1. Springer, Berlin, 2007
- Josef Stoer and Roland Bulirsch. Numerische Mathematik 2. Springer, Berlin, 2000
- P. Deuflhard, F. Bornemann: Numerische Mathematik 2. De Gruyter, Berlin, 2008
- Michael T. Heath, Scientific Computing: An Introductory Survey, McGraw-Hill, NY, 2002
- Scott A. Sarra, The Method of Characteristics with applications to Conservation Laws, Journal of Online Mathematics and its Applications, 3, pp. 1–6, 2003
Lecture material
Lecture notes WS 2015/2016
- Ordinary differential equations
- Partial differential equations
- Appendix
- References
Further info
- Numerical Recipies in C and Fortran
- The scientific data plotting software DISLIN
- Gnuplot Homepage
- Python – Official Website
- Python-Kurs: Tutorial für Anfänger und Fortgeschrittene
- Python Scientific Lecture Notes
- The SciPy library
- Spyder (Scientific PYthon Development EnviRonment)
- Python Distribution Anaconda
Tutorials
Coordination: Markus Wilczek
Solutions must be handed in via email to
- Markus Wilczek, markuswilczek(at)uni-muenster.de
- Subject: [Numerik-Abgabe] Blatt x - Name
Questions about the tutorials can also be sent to this address; please use the subject „[Numerik-Frage] …“
The designated programming language for this lecture is Python. Questions about implementations in other languages can only be answered in a limited way.
Problem sheets
Problems and example programs
Exercise Python Sheet 1 blatt1_aufgabe1.py Sheet 2 blatt2.py Sheet 3 blatt3.zip Sheet 4 lorenz.py
pohl.pySheet 5 delay.py Sheet 6 vdpohlrkf1.py Sheet 7 gameoflife.py
initialconditions.py
logabb.pySheet 8 shooting.py
shooting2k.pySheet 9 Sheet 10 Sheet 11