Computational Physics
Lecture details
The lecture will be given by Professor Michielsen.
Description:
Computational physics encompasses a huge variety of topics. Therefore, the lecture can only cover a limited fraction of computational physics problems.
Topics include:
 What is computational physics and what is it used for? Traditional versus nontraditional computational physics
 Random numbers and their applications (random number generators, random walk, cellular automata, lattice Boltzman method, eventbyevent simulations)
 Monte Carlo method (integration, statistical error, radioactive decay, percolation, importance sampling, Ising model, Markov chains, Metropolis Monte Carlo method)
 Molecular dynamics method (Runge Kutta, predictorcorrector, Euler, EulerCromer, Verlet, leapfrog, velocity Verlet, Hamiltonian splitting, accuracy and stability ,force calculations: truncation and shift of potentials, linked list method)
 Diffusion equation (random walk, Brownian motion, CrankNicolson, product formula approach, Chebychev algorithm, matrix exponential, stability and accuracy)
 Computational electrodynamics (Maxwell equation, FDTD: Yee algorithm and product formula approach, ADI, multipole methods, finite element method, dissipative materials, UPML)
 Time(in)dependent Schrödinger equation (Leapfrog, CrankNicolson, product formula, Lanczos, Davidson, linear algebra: Gauss, LU decomposition)
 Exact diagonalization
 Quantum Monte Carlo method
Learning goals:
 Lectures: The students will obtain an overview of various numerical methods to solve by computer a variety of problems in science.
 Exercises: The students will write their own computer programs for problems drawn from various areas of physics, selected such that they can be worked out in a reasonable time frame, with reasonable computational resources (PC is sufficient).
Literature:
 T. Pang, An introduction to computational physics, Cambridge Univ. Press.
 J. M. Thijssen, Computational physics, Cambridge Univ. Press

D. P. Landau, K. Binder, A Guide to MonteCarlo Simulations in Statistical
Physics, Cambridge Univ. Press. 
W. H. Press, S. A. Teukolsky, W. T. Wetterling, and B. P. Flannery,
Numerical Recipes: the Art of Scientific Computing, Cambridge Univ. Press.
For the time schedule, you can also refer to the university calender:
Time  Room  Start 

Mon. 8.15am  9.45am  4282 (28B 110)  13.04.2015 (13 dates) 
Mon. 10.15am  11.45am  4282 (28B 110)  11.04.2015 (13 dates) 
Wed. 8.15am  9.45am  CIP Pool 28A 203  15.04.2015 (13 dates) 