Molecular Dynamics.- to Molecular Dynamics.- Wigner Function Quantum Molecular Dynamics.- Classical Monte Carlo.- The Monte Carlo Method, an Introduction.- Monte Carlo Methods in Classical Statistical Physics.- The Monte Carlo Method for Particle Transport Problems.- Kinetic Modelling.- The Particle-in-Cell Method.- Gyrokinetic and Gyrofluid Theory and Simulation of Magnetized Plasmas.- Semiclassical Approaches.- Boltzmann Transport in Condensed Matter.- Semiclassical Description of Quantum Many-Particle Dynamics in Strong Laser Fields.- Quantum Monte Carlo.- World-line and Determinantal Quantum Monte Carlo Methods for Spins, Phonons and Electrons.- Autocorrelations in Quantum Monte Carlo Simulations of Electron-Phonon Models.- Diagrammatic Monte Carlo and Stochastic Optimization Methods for Complex Composite Objects in Macroscopic Baths.- Path Integral Monte Carlo Simulation of Charged Particles in Traps.- Ab-Initio Methods in Physics and Chemistry.- Ab-Initio Approach to the Many-Electron Problem.- Ab-Initio Methods Applied to Structure Optimization and Microscopic Modelling.- Effective Field Approaches.- Dynamical Mean-Field Approximation and Cluster Methods for Correlated Electron Systems.- Local Distribution Approach.- Iterative Methods for Sparse Eigenvalue Problems.- Exact Diagonalization Techniques.- Chebyshev Expansion Techniques.- The Density Matrix Renormalisation Group: Concepts and Applications.- The Conceptual Background of Density-Matrix Renormalization.- Density-Matrix Renormalization Group Algorithms.- Dynamical Density-Matrix Renormalization Group.- Studying Time-Dependent Quantum Phenomena with the Density-Matrix Renormalization Group.- Applications of Quantum Information in the Density-Matrix Renormalization Group.- Density-Matrix Renormalization Group for Transfer Matrices: Static and Dynamical Properties of 1D Quantum Systems at Finite Temperature.- Concepts of High Performance Computing.- Architecture and Performance Characteristics of Modern High Performance Computers.- Optimization Techniques for Modern High Performance Computers.