A Primer For The Monte Carlo Method
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A Primer For The Monte Carlo Method
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Author : Ilya M. Sobol
language : en
Publisher: CRC Press
Release Date : 2018-04-24
A Primer For The Monte Carlo Method written by Ilya M. Sobol and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-24 with Mathematics categories.
The Monte Carlo method is a numerical method of solving mathematical problems through random sampling. As a universal numerical technique, the method became possible only with the advent of computers, and its application continues to expand with each new computer generation. A Primer for the Monte Carlo Method demonstrates how practical problems in science, industry, and trade can be solved using this method. The book features the main schemes of the Monte Carlo method and presents various examples of its application, including queueing, quality and reliability estimations, neutron transport, astrophysics, and numerical analysis. The only prerequisite to using the book is an understanding of elementary calculus.
A Primer For The Monte Carlo Method
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Author : Ilya M. Sobol
language : en
Publisher: CRC Press
Release Date : 1994-05-19
A Primer For The Monte Carlo Method written by Ilya M. Sobol and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-19 with Mathematics categories.
The Monte Carlo method is a numerical method of solving mathematical problems through random sampling. As a universal numerical technique, the method became possible only with the advent of computers, and its application continues to expand with each new computer generation. A Primer for the Monte Carlo Method demonstrates how practical problems in science, industry, and trade can be solved using this method. The book features the main schemes of the Monte Carlo method and presents various examples of its application, including queueing, quality and reliability estimations, neutron transport, astrophysics, and numerical analysis. The only prerequisite to using the book is an understanding of elementary calculus.
A Monte Carlo Primer
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Author : Stephen A. Dupree
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-07
A Monte Carlo Primer written by Stephen A. Dupree and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-07 with Science categories.
The mathematical technique of Monte Carlo, as applied to the transport of sub-atomic particles, has been described in numerous reports and books since its formal development in the 1940s. Most of these instructional efforts have been directed either at the mathematical basis of the technique or at its practical application as embodied in the several large, formal computer codes available for performing Monte Carlo transport calculations. This book attempts to fill what appears to be a gap in this Monte Carlo literature between the mathematics and the software. Thus, while the mathematical basis for Monte Carlo transport is covered in some detail, emphasis is placed on the application of the technique to the solution of practical radiation transport problems. This is done by using the PC as the basic teaching tool. This book assumes the reader has a knowledge of integral calculus, neutron transport theory, and Fortran programming. It also assumes the reader has available a PC with a Fortran compiler. Any PC of reasonable size should be adequate to reproduce the examples or solve the exercises contained herein. The authors believe it is important for the reader to execute these examples and exercises, and by doing so to become accomplished at preparing appropriate software for solving radiation transport problems using Monte Carlo. The step from the software described in this book to the use of production Monte Carlo codes should be straightforward.
A Monte Carlo Primer
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Author : Stephen A. Dupree
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-05-01
A Monte Carlo Primer written by Stephen A. Dupree and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-01 with Science categories.
In Volume 1, A Monte Carlo Primer - A Practical Approach to Radiation Transport (the "Primer"), we attempt to provide a simple, convenient, and step-by-step approach to the development, basic understanding, and use of Monte Carlo methods in radiation transport. Using the PC, the Primer begins by developing basic Monte Carlo codes to solve simple transport problems, then introduces a teaching tool, the Probabilistic Framework Code (PFC), as a standard platform for assembling, testing, and executing the various Monte Carlo techniques that are presented. This second volume attempts to continue this approach by using both custom Monte Carlo codes and PFC to apply the concepts explained in the Primer to obtain solutions to the exercises given at the end of each chapter in the Primer. A relatively modest number of exercises is included in the Primer. Some ambiguity is left in the statement of many of the exercises because the intent is not to have the user write a particular, uniquely correct piece of coding that produces a specific number as a result, but rather to encourage the user to think about the problems and develop further the concepts explained in the text. Because in most cases there is more than one way to solve a Monte Carlo transport problem, we believe that working with the concepts illustrated by the exercises is more important than obtaining anyone particular solution.
A Primer On Simulation And Gaming
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Author : Richard F. Barton
language : en
Publisher:
Release Date : 1970
A Primer On Simulation And Gaming written by Richard F. Barton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Game theory categories.
Written for people with little mathematical or computer background.
The Monte Carlo Method
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Author : Metodi Mazhdrakov
language : en
Publisher: ACMO Academic Press
Release Date : 2018-08-19
The Monte Carlo Method written by Metodi Mazhdrakov and has been published by ACMO Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-19 with Mathematics categories.
I look to the left… NOTHING? I look to the right… NOTHING? So, I say to myself: There is SOMETHING here… One of mankind’s successful attempts to find out what that SOMETHING is the Monte Carlo Method. The method, as well as many of the achievements of mankind, was created for military purposes as part of the scientific tasks associated with the creation of the atomic bomb. The event was super secret and everything was encrypted. The code name of the method – Monte Carlo, has proved to be very successful and has survived in civilization (suck fate has the name of the armoured fighting vehicle – tank). The task was to create a method for modeling the behavior of a complex probability system. The classic solution is to present the phenomenon with one, two, etc. (but always a limited number) indicators. The new solution is the opposite – "artificially" increasing the number of input/output information. Currently, the Monte Carlo Method is effective, and in some cases – the only one, solution for a wide range of tasks from all areas of scientific knowledge. That is why we’ve decided to present yet another exposure of the foundations and some of the Monte Carlo applications. The monograph is divided in two parts. The first part returns the reader during the World War II. We follow the development of the idea of the method and the associated need for creating a powerful enough computer. The first publications are mentioned and are examined the scientific basics of the method and some basic algorithms. The second part contains applications of Monte Carlo method for solving tasks that can be characterized as "engineering". Without neglecting the concrete results obtained, we will point out that the described approaches for the practical application of the Monte Carlo method are of the greatest interest.
The Monte Carlo Method
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Author : Yu.A. Shreider
language : en
Publisher: Elsevier
Release Date : 2014-05-16
The Monte Carlo Method written by Yu.A. Shreider and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Mathematics categories.
The Monte Carlo Method: The Method of Statistical Trials is a systematic account of the fundamental concepts and techniques of the Monte Carlo method, together with its range of applications. Some of these applications include the computation of definite integrals, neutron physics, and in the investigation of servicing processes. This volume is comprised of seven chapters and begins with an overview of the basic features of the Monte Carlo method and typical examples of its application to simple problems in computational mathematics. The next chapter examines the computation of multi-dimensional integrals using the Monte Carlo method. Some examples of statistical modeling of integrals are analyzed, together with the accuracy of the computations. Subsequent chapters focus on the applications of the Monte Carlo method in neutron physics; in the investigation of servicing processes; in communication theory; and in the generation of uniformly distributed random numbers on electronic computers. Methods for organizing statistical experiments on universal digital computers are discussed. This book is designed for a wide circle of readers, ranging from those who are interested in the fundamental applications of the Monte Carlo method, to those who are concerned with comparatively limited problems of the peculiarities of simulating physical processes.
A Primer For The Monte Carlo Method
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Author : Ilya M. Sobol
language : en
Publisher: CRC Press
Release Date : 2017-08-29
A Primer For The Monte Carlo Method written by Ilya M. Sobol and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-29 with Monte Carlo method categories.
The Monte Carlo method is a numerical method of solving mathematical problems through random sampling. As a universal numerical technique, the method became possible only with the advent of computers, and its application continues to expand with each new computer generation. A Primer for the Monte Carlo Method demonstrates how practical problems in science, industry, and trade can be solved using this method. The book features the main schemes of the Monte Carlo method and presents various examples of its application, including queueing, quality and reliability estimations, neutron transport, astrophysics, and numerical analysis. The only prerequisite to using the book is an understanding of elementary calculus.
Monte Carlo Methods
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Author : J. Hammersley
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07
Monte Carlo Methods written by J. Hammersley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Science categories.
This monograph surveys the present state of Monte Carlo methods. we have dallied with certain topics that have interested us Although personally, we hope that our coverage of the subject is reasonably complete; at least we believe that this book and the references in it come near to exhausting the present range of the subject. On the other hand, there are many loose ends; for example we mention various ideas for variance reduction that have never been seriously appli(:d in practice. This is inevitable, and typical of a subject that has remained in its infancy for twenty years or more. We are convinced Qf:ver theless that Monte Carlo methods will one day reach an impressive maturity. The main theoretical content of this book is in Chapter 5; some readers may like to begin with this chapter, referring back to Chapters 2 and 3 when necessary. Chapters 7 to 12 deal with applications of the Monte Carlo method in various fields, and can be read in any order. For the sake of completeness, we cast a very brief glance in Chapter 4 at the direct simulation used in industrial and operational research, where the very simplest Monte Carlo techniques are usually sufficient. We assume that the reader has what might roughly be described as a 'graduate' knowledge of mathematics. The actual mathematical techniques are, with few exceptions, quite elementary, but we have freely used vectors, matrices, and similar mathematical language for the sake of conciseness.
A Monte Carlo Primer
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Author : Stephen A. Dupree
language : en
Publisher: Springer Science & Business Media
Release Date : 2002
A Monte Carlo Primer written by Stephen A. Dupree and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
The mathematical technique of Monte Carlo, as applied to the transport of sub-atomic particles, has been described in numerous reports and books since its formal development in the 1940s. Most of these instructional efforts have been directed either at the mathematical basis of the technique or at its practical application as embodied in the several large, formal computer codes available for performing Monte Carlo transport calculations. This book attempts to fill what appears to be a gap in this Monte Carlo literature between the mathematics and the software. Thus, while the mathematical basis for Monte Carlo transport is covered in some detail, emphasis is placed on the application of the technique to the solution of practical radiation transport problems. This is done by using the PC as the basic teaching tool. This book assumes the reader has a knowledge of integral calculus, neutron transport theory, and Fortran programming. It also assumes the reader has available a PC with a Fortran compiler. Any PC of reasonable size should be adequate to reproduce the examples or solve the exercises contained herein. The authors believe it is important for the reader to execute these examples and exercises, and by doing so to become accomplished at preparing appropriate software for solving radiation transport problems using Monte Carlo. The step from the software described in this book to the use of production Monte Carlo codes should be straightforward.