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An Introduction to Computer Simulation
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Title: An Introduction to Computer Simulation Description: 019850425X, Pages:328 Computer simulation is increasingly used in physics and engineering to predict the probable outcome of experiments and to aid in their interpretation. The methods of simulation are based on a range of numerical techniques for treating ordinary and partial differential equations. Since much of physics can be broken down into a relatively small set of fundamental equations, there is a set of very general methods which can be widely applied. This text aims to give an introduction to those methods suitable for readers at an undergraduate level and those meeting the subject for the first time at postgraduate level. The methods are illustrated with simple programs and problems. The book covers a range of material not available in a simple form in a single text elsewhere. Table of Contents List of programs available 1 Models and simulation 1 2 Finite-difference methods 33 3 Simulation with particles 87 4 The Monte Carlo method 129 5 The wave equation 156 6 The finite-element method 179 7 Computational fluid dynamics 211 App. 1 The elements of matrix algebra 259 App. 2 A simple conjugate gradient method 265 App. 3 The virial theorem 268 App. 4 The condition for collisionless PIC 270 App. 5 The coefficients of a half-sine-wave Fourier series 273 App. 6 Numerical quadrature 274 App. 7 Calculation of the four-element solution to (6.11) 284 Problems - solutions and comments 287 References 307 Index 309 http://rapidsharebooks.blogspot.com/2007/01/introduction-to-computer-simulation.html |
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