Computational Physics: With Worked Out Examples in FORTRAN and MATLAB

✍ Scribed by Michael Bestehorn

• Publisher: De Gruyter
• Year: 2018
• Tongue: English
• Leaves: 330
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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