An Introduction to Computational Physics

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Cambridge University Press, Jan 19, 2006 - Computers - 385 pages
Thoroughly revised for its second edition, this advanced textbook provides an introduction to the basic methods of computational physics, and an overview of progress in several areas of scientific computing by relying on free software available from CERN. The book begins by dealing with basic computational tools and routines, covering approximating functions, differential equations, spectral analysis, and matrix operations. Important concepts are illustrated by relevant examples at each stage. The author also discusses more advanced topics, such as molecular dynamics, modeling continuous systems, Monte Carlo methods, genetic algorithm and programming, and numerical renormalization. It includes many more exercises. This can be used as a textbook for either undergraduate or first-year graduate courses on computational physics or scientific computation. It will also be a useful reference for anyone involved in computational research.
 

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Contents

Introduction i
1
Approximation of a function
16
Numerical calculus
49
Ordinary differential equations
80
Numerical methods for matrices
119
Spectral analysis
164
Partial differential equations
197
Molecular dynamics simulations
226
Modeling continuous systems
256
Monte Carlo simulations
285
Genetic algorithm and programming
323
Numerical renormalization
347
References
369
Index
381
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