# An Introduction to Computational Physics

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 36 Xi+10 38 Chapter 3 49 where 59
 Chapter 6 164 So the Dirac δ function δω can also be interpreted 166 Fig 63 Surface and 180 W 182 double y new double2n+1 191 Chapter 7 197 Chapter 8 226 Chapter 9 256

 The methods called in the program are exactly those given 76 where 77 Chapter 4 80 Chapter 5 119 If we decompose the eigenvector z in a similar fashion 140 and 141 double t xv+yu 151 of the wavefunction unlσr The angular momentum index is suppressed 156
 the modiﬁcation under different boundary conditions from the solution of 265 Chapter 10 285 Chapter 11 323 Chapter 12 347 which leads to 349 after Taylor expansion of the exponential function and resummation in 354 evaluated for the system of a given size In fact 367

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Page 15 - ... constant, M is the mass of the sun, m is the mass of the planet, and r is its distance from the sun. Choose the initial line to pass through the perihelion point of the orbit, and assume the velocity at perihelion is DO.