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In the upcoming summer semester of 2019, Nonlinear Physics will be focusing on Numerical Methods for Complex Systems II. The lecture, led by Priv.-Doz. Dr. S. Gurevich, will cover essential topics related to solving partial differential equations that describe structure formation in systems far from equilibrium.

Some of the key areas to be discussed include Transport Equations, Cahn-Hilliard Equation, Real and Complex Ginzburg-Landau Equations, Reaction-Diffusion Equations, Real and Complex Swift-Hohenberg Equations, as well as Rayleigh-Bénard Systems. The main emphasis of the lecture will be on exploring Pseudospectral Methods.

For those interested, the lecture will be complemented by recommended readings such as “Spectral Methods in MATLAB” by Lloyd N. Trefethen, “Spectral Methods in Fluid Dynamics” by Claudio Canuto et al., and “Chebyshev and Fourier Spectral Methods” by John P. Boyd. Additional resources like “Numerical Recipes in C” by William H. Press et al. and “Chebyshev Interpolation” by Scott A. Sarra can also be explored.

Students participating in the lecture can expect to engage with materials covering Introduction, Runge-Kutta Methods, Pseudospectral method, and Burgers Equation. Further information, as well as exercises, will be provided on Learnweb, with all submissions and questions to be directed to Tobias Nitschke via email at [email protected].

To excel in this course, a familiarity with Python programming language is recommended. While questions related to implementations in other languages may have limited support, students are encouraged to make the most of the resources provided for learning and exploring. Stay tuned for more updates and insights as the semester unfolds.