Computational Physics: With Worked Out Examples in FORTRAN and MATLAB

Description

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 Introduces the reader to computer applications in numerous areas of physics. Includes Fortran examples, which are also available online. Contains exercises with solutions, encouraging self-study. Contents 1. Introduction 2. Nonlinear maps 3. Dynamical systems 4. Ordinary differential equations I, initial value problems 5. Ordinary differential equations II, boundary value problems 6. Partial differential equations I, basics 7. Partial differential equations II, applications 8. Monte Carlo methods (MC) A. Matrices and systems of linear equations B. Program library C. Solutions of the problems D. README and a short guide to FE-tools Index