Basic Concepts in Computational Physics

Front Cover
Springer, Mar 21, 2016 - Science - 409 pages

This new edition is a concise introduction to the basic methods of computational physics. Readers will discover the benefits of numerical methods for solving complex mathematical problems and for the direct simulation of physical processes.

The book is divided into two main parts: Deterministic methods and stochastic methods in computational physics. Based on concrete problems, the first part discusses numerical differentiation and integration, as well as the treatment of ordinary differential equations. This is extended by a brief introduction to the numerics of partial differential equations. The second part deals with the generation of random numbers, summarizes the basics of stochastics, and subsequently introduces Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. The final two chapters discuss data analysis and stochastic optimization. All this is again motivated and augmented by applications from physics. In addition, the book offers a number of appendices to provide the reader with information on topics not discussed in the main text.

Numerous problems with worked-out solutions, chapter introductions and summaries, together with a clear and application-oriented style support the reader. Ready to use C++ codes are provided online.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

1 Some Basic Remarks
1
Part I Deterministic Methods
14
Part II Stochastic Methods
181
A The TwoBody Problem
340
The Newton Method
347
C Numerical Solution of Linear Systems of Equations
349
D Fast Fourier Transform
357
E Basics of Probability Theory
363
F Phase Transitions
375
G Fractional Integrals and Derivatives in 1D
379
H Least Squares Fit
381
I Deterministic Optimization
387
Index
401
Copyright

Other editions - View all

Common terms and phrases

About the author (2016)

Ewald Schachinger is a Professor in the Institute for Theoretical and Computational Physics in Graz University of Technology, Austria.
Benjamin A. Stickler is a Professor in the Institute of Theoretical Physics at the University of Duisburg-Essen, Germany.

Bibliographic information