Rechnergestützte Physik 2

What it is about

You will learn advanced numerical methods for classical and quantum mechanical problems. Topics range from random numbers, Fourier transforms and Monte Carlo techniques to nonlinear systems, chaos theory and fractals up to finite elements, wavelets, neural networks and fundamentals of lattice gauge theory. By the end you will be able to formulate such models numerically, implement them and assess them.

What you will be able to do

• Numerical description and solution of classical and quantum mechanical systems
• Numerical application of ordinary and partial differential equations
• Use of Monte Carlo methods and chaos theory
• Knowledge and evaluation of advanced numerical methods from current research

What the module consists of

• LectureTheoretical introduction of the learning content and practical demonstrations in Mathematica
• ExerciseDiscussion and joint processing of the exercise sheets; reproduction and deepening of the lecture results

Teaching method

• Electronic blackboard (posted as PDF)Conveyance of theory; postings are available for download after the lecture
• Live demos in Mathematica (and examples in C/Python)Practical implementation of numerical procedures; student proposals are tried out and sources of errors are discussed
• Exercise sheets and group workIndividual work followed by discussion in the exercise for deeper understanding and error analysis