Basic Concepts in Computational Physics
Authors: Stickler, Benjamin A., Schachinger, Ewald
Free Preview- 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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- About this Textbook
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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.
- About the authors
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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.
- Table of contents (20 chapters)
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Some Basic Remarks
Pages 1-13
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Numerical Differentiation
Pages 17-30
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Numerical Integration
Pages 31-52
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The Kepler Problem
Pages 53-61
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Ordinary Differential Equations: Initial Value Problems
Pages 63-83
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Table of contents (20 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Basic Concepts in Computational Physics
- Authors
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- Benjamin A. Stickler
- Ewald Schachinger
- Copyright
- 2016
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-319-27265-8
- DOI
- 10.1007/978-3-319-27265-8
- Hardcover ISBN
- 978-3-319-27263-4
- Softcover ISBN
- 978-3-319-80103-2
- Edition Number
- 2
- Number of Pages
- XVI, 409
- Topics
