Lectures

Lecture 1: Computation as a tool for discovery in physics

• PDF
• Real numbers and numerical precision
• Computational complexity for physicists

Lecture 2: Numerical methods for ordinary differential equations

• PDF
• C. Moler, Numerical Computing with Matlab (SIAM, Philadelphia, 2004).
• W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery: Numerical Recipes: The Art of Scientific Computing (CUP, Cambridge, 2007).

Lecture 3: Introduction to deterministic chaos

• PDF
• T. Tél and M. Gruiz, Chaotic Dynamics (CUP, Cambridge, 2006).

Lecture 4: Vibrational eigenmodes: From glasses to Fermi-Pasta-Ulam Problem

• PDF

Lecture 5: Introduction to Fourier analysis

• PDF

Lecture 6: Random Numbers, Random Walks, Monte Carlo, and all that

• PDF

Lecture 7: Monte Carlo Simulations in Statistical Physics

• PDF

Lecture 8: Computational Methods for Quantum Mechanics

• PDF

Lecture 9: Interdisciplinary Topics in Complex Systems

• PDF