Plasma Physics. Computational Physics.

- Reach an advanced level of proficiency in the use of basic simulation algorithms (finite differences, Monte Carlo methods, etc.) - Reach an introductory level of knowledge on advanced simulation techniques (spectral methods, Lagrangian methods, etc.) - Be able to simulate numerically a complex problem in plasma physics: algorithm selection, implementation, benchmarking and solution.

Part I: Analysis of time series I.1 Linear Analysis: Correlation functions, Fourier analysis, Wavelets analysis I.2 Nonlinear Analysis: bi-coherence, bi-spectral analysis, multifractal analysis. Part II: Plasma Simulation II.1 Finite differences II.2 Finite elements II.3 Spectral and pseudo-spectral methods II.4 Particle methods (PIC, SPH, etc.) Part III: Introduction to parallel programming

- Topics are discussed in class with the help of slides that are provided to students. - Selected projects from the area of fusion plasmas are handed to the students that, in small groups, must work through them, simulate them numerically, and present them in class at the end of the course.