8. M1-Computational Physics
Master of Physics 1 — CY University
Computational methods for physics
C Oguey ( oguey @ u-cergy.fr ) CM 12h, TD 18h
See cours.u-cergy.fr/M1-Computational Physics
Syllabus – Chapters selected among:
- Solving Ordinary Differential Equations
- Molecular Dynamics
- Finite difference methods for PDEs
- Time dependent Schrödinger equation – wave packets
- Fourier transform
- Non-linear PDEs: solitons, KdV, Ginzburg-Landau, sine-Gordon
- Introduction to Finite Elements Methods
Based on projects, each on a physical subject involving numerical methods.
In a concise report, < 8 pages, explain your treatment of the problem, the method
used and the results or solution, including comments and critical analysis. Provide all
your code listings in separate files.
Assessment is based on the report + program for two projects, and on the oral
presentation of one of the projects.
Lecture notes, projects, deadlines
See web site, above.
Suggestions for last project
- Diffusion or Poisson equation by Fourier transform.
- KdV equation: non-linearity – soliton propagation and interaction.
- Ginzburg-Landau equation: coarsening – scaling regime or limit –
correspondence with microscopic models?
- Turing’s model of chemical reactions: enhancer/inhibitor system –
Tools and examples for simple animation here.
C. Oguey, Jan. 2019