Drawing on examples from various areas of physics, this textbook introduces the reader to computer-based physics using Fortran® and Matlab®. It elucidates a broad palette of topics, including fundamental phenomena in classical and quantum mechanics, hydrodynamics and dynamical systems, as well as effects in field theories and macroscopic pattern formation described by (nonlinear) partial differential equations. A chapter on Monte Carlo methods is devoted to problems typically occurring in statistical physics.



Contents
Introduction
Nonlinear maps
Dynamical systems
Ordinary differential equations I
Ordinary differential equations II
Partial differential equations I, basics
Partial differential equations II, applications
Monte Carlo methods (MC)
Matrices and systems of linear equations
Program library
Solutions of the problems
README and a short guide to FE-tools