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Macmillan Higher Education Palgrave Higher Education

Computational Physics

Simulation of Classical and Quantum Systems

Edition 2nd Edition
ISBN 9783319004006
Publication Date July 2013
Formats Hardcover Paperback Ebook 
Publisher Springer

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 not only 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. 

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.

Part I Numerical Methods
Error Analysis
Numerical Differentiation
Numerical Integration
Systems of Inhomogeneous Linear Equations
Roots and Extremal Points
Fourier Transformation
Random Numbers and Monte-Carlo Methods
Eigenvalue Problems
Data Fitting
Discretization of Differential Equations
Equations of Motion
Part II Simulation of Classical and Quantum Systems
Rotational Motion
Molecular Dynamics
Thermodynamic Systems
Random Walk and Brownian Motion
Nonlinear Systems
Simple Quantum Systems.


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)
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