Authors:
- Features numerous computer examples; no programming skills necessary
- Includes separate parts on numerical methods and simulations
- Gives detailed explanations without mathematical proofs
- Covers many basic areas in physics
- Discusses standard numerical methods and more recent developments
- Contains exercises and solutions to all topics
- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Physics (GTP)
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Table of contents (21 chapters)
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Front Matter
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Numerical Methods
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Front Matter
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Simulation of Classical and Quantum Systems
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Front Matter
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About this book
This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics.
The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods.
The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into notonly the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.
Reviews
From the book reviews:
“The well-written monograph about computational physics is based on two-semester lecture courses given by the author on a period of several years for undergraduate physics and biophysics students … . convenient for students and practitioners of computer science, chemistry, and mathematics who are interested in applications of numerical methods in physics and engineering sciences. … well-organized book with a concentration to the important ideas of the methods and physical applications including software, examples, illustrations, and references to further reading.” (Georg Hebermehl, zbMATH, Vol. 1303, 2015)Authors and Affiliations
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München, Physikdepartment T38, Technische Universität, Garching, Germany
Philipp O.J. Scherer
About the author
Prof. Scherer received his PhD in experimental and theoretical physics in 1984. He joined the National Institute of Advanced Industrial Science and Technology (AIST) in Tsukuba, Japan, as a visiting scientist in 2001 and 2003. His area of research includes biomolecular physics and the computer simulation of molecular systems with classical and quantum methods. He has published books on theoretical molecular physics and computational physics.
Bibliographic Information
Book Title: Computational Physics
Book Subtitle: Simulation of Classical and Quantum Systems
Authors: Philipp O.J. Scherer
Series Title: Graduate Texts in Physics
DOI: https://doi.org/10.1007/978-3-319-00401-3
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2013
Hardcover ISBN: 978-3-319-00400-6Published: 30 July 2013
eBook ISBN: 978-3-319-00401-3Published: 17 July 2013
Series ISSN: 1868-4513
Series E-ISSN: 1868-4521
Edition Number: 2
Number of Pages: XVIII, 454
Additional Information: 2nd edition. First Edition was published under the same title in 2010.
Topics: Numerical and Computational Physics, Simulation, Mathematical Applications in the Physical Sciences, Mathematical and Computational Engineering, Theoretical and Computational Chemistry