Exploring Monte Carlo Methods is a basic text that describes the numerical methods that have come to be known as qMonte Carlo.q The book treats the subject generically through the first eight chapters and, thus, should be of use to anyone who wants to learn to use Monte Carlo. The next two chapters focus on applications in nuclear engineering, which are illustrative of uses in other fields. Five appendices are included, which provide useful information on probability distributions, general-purpose Monte Carlo codes for radiation transport, and other matters. The famous qBuffonas needle problemq provides a unifying theme as it is repeatedly used to illustrate many features of Monte Carlo methods. This book provides the basic detail necessary to learn how to apply Monte Carlo methods and thus should be useful as a text book for undergraduate or graduate courses in numerical methods. It is written so that interested readers with only an understanding of calculus and differential equations can learn Monte Carlo on their own. Coverage of topics such as variance reduction, pseudo-random number generation, Markov chain Monte Carlo, inverse Monte Carlo, and linear operator equations will make the book useful even to experienced Monte Carlo practitioners. Provides a concise treatment of generic Monte Carlo methods Proofs for each chapter Appendixes include Certain mathematical functions; Bose Einstein functions, Fermi Dirac functions, Watson functionsOn the other hand, after 105 histories, samples picked using both proposal functions generate samples distributed approximately according to the desired PDF. However, of the two proposals, h2, which more closely resembles the stationaryanbsp;...

Title | : | Exploring Monte Carlo Methods |

Author | : | William L. Dunn, J. Kenneth Shultis |

Publisher | : | Elsevier - 2011-05-24 |

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