An Introduction to Computational Physics

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Cambridge University Press, Jan 19, 2006 - Science
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

Chapter 1
1
1
2
Chapter 2
16
defined at each step from the differences between two adjacent
22
Fig 24 An example of a
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Xi+10
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Chapter 3
49
where
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Chapter 6
164
So the Dirac δ function δω can also be interpreted
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Fig 63 Surface and
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W
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double y new double2n+1
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Chapter 7
197
Chapter 8
226
Chapter 9
256

The methods called in the program are exactly those given
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where
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Chapter 4
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Chapter 5
119
If we decompose the eigenvector z in a similar fashion
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and
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double t xv+yu
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of the wavefunction unlσr The angular momentum index is suppressed
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the modification under different boundary conditions from the solution of
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Chapter 10
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Chapter 11
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Chapter 12
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which leads to
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after Taylor expansion of the exponential function and resummation in
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evaluated for the system of a given size In fact
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