Authors:
Now with ready to use C++ program code available online
Contains heavily expanded chapters on molecular dynamics, PDEs, random generators, Monte Carlo applications, data analysis and data optimization
Presents deterministic methods are presented on a par with stochastic methods
Mathematically precise, but driven by the needs of physicists
Extensive appendices deepen the knowledge and present the mathematical basis
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Table of contents (20 chapters)
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Front Matter
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Deterministic Methods
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Front Matter
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About this book
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.
Authors and Affiliations
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Faculty of Physics, University of Duisburg-Essen, Duisburg, Germany
Benjamin A. Stickler
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Graz University of Technology, Institute of Theoretical and Computational Physics, Graz, Austria
Ewald Schachinger
About the authors
Benjamin A. Stickler is a Professor in the Institute of Theoretical Physics at the University of Duisburg-Essen, Germany.
Bibliographic Information
Book Title: Basic Concepts in Computational Physics
Authors: Benjamin A. Stickler, Ewald Schachinger
DOI: https://doi.org/10.1007/978-3-319-27265-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2016
Hardcover ISBN: 978-3-319-27263-4Published: 30 March 2016
Softcover ISBN: 978-3-319-80103-2Published: 25 April 2018
eBook ISBN: 978-3-319-27265-8Published: 21 March 2016
Edition Number: 2
Number of Pages: XVI, 409
Topics: Numerical and Computational Physics, Simulation, Mathematical and Computational Engineering, Computational Mathematics and Numerical Analysis, Theoretical and Computational Chemistry