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| Author | : Ilya M. Sobol |
| Publisher | : CRC Press |
| Total Pages | : 130 |
| Release | : 1994-05-19 |
| Genre | : Mathematics |
| ISBN | : 9780849386732 |
Download A Primer for the Monte Carlo Method Book in PDF, ePub and Kindle
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.
| Author | : Ilya M. Sobol |
| Publisher | : CRC Press |
| Total Pages | : 130 |
| Release | : 2018-04-24 |
| Genre | : Mathematics |
| ISBN | : 1351469576 |
Download A Primer for the Monte Carlo Method Book in PDF, ePub and Kindle
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.
| Author | : Stephen A. Dupree |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 348 |
| Release | : 2012-09-07 |
| Genre | : Science |
| ISBN | : 1441984917 |
Download A Monte Carlo Primer Book in PDF, ePub and Kindle
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.
| Author | : Stephen A. Dupree |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 236 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1441990364 |
Download A Monte Carlo Primer Book in PDF, ePub and Kindle
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.
| Author | : Stephen A. Dupree |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 370 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 9780306467486 |
Download A Monte Carlo Primer Book in PDF, ePub and Kindle
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.
| Author | : Paul Glasserman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 603 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 0387216170 |
Download Monte Carlo Methods in Financial Engineering Book in PDF, ePub and Kindle
From the reviews: "Paul Glasserman has written an astonishingly good book that bridges financial engineering and the Monte Carlo method. The book will appeal to graduate students, researchers, and most of all, practicing financial engineers [...] So often, financial engineering texts are very theoretical. This book is not." --Glyn Holton, Contingency Analysis
| Author | : Ronald W. Shonkwiler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 249 |
| Release | : 2009-08-11 |
| Genre | : Mathematics |
| ISBN | : 0387878378 |
Download Explorations in Monte Carlo Methods Book in PDF, ePub and Kindle
Monte Carlo methods are among the most used and useful computational tools available today, providing efficient and practical algorithims to solve a wide range of scientific and engineering problems. Applications covered in this book include optimization, finance, statistical mechanics, birth and death processes, and gambling systems. Explorations in Monte Carlo Methods provides a hands-on approach to learning this subject. Each new idea is carefully motivated by a realistic problem, thus leading from questions to theory via examples and numerical simulations. Programming exercises are integrated throughout the text as the primary vehicle for learning the material. Each chapter ends with a large collection of problems illustrating and directing the material. This book is suitable as a textbook for students of engineering and the sciences, as well as mathematics.
| Author | : Anosh Joseph |
| Publisher | : Springer Nature |
| Total Pages | : 134 |
| Release | : 2020-04-16 |
| Genre | : Science |
| ISBN | : 3030460444 |
Download Markov Chain Monte Carlo Methods in Quantum Field Theories Book in PDF, ePub and Kindle
This primer is a comprehensive collection of analytical and numerical techniques that can be used to extract the non-perturbative physics of quantum field theories. The intriguing connection between Euclidean Quantum Field Theories (QFTs) and statistical mechanics can be used to apply Markov Chain Monte Carlo (MCMC) methods to investigate strongly coupled QFTs. The overwhelming amount of reliable results coming from the field of lattice quantum chromodynamics stands out as an excellent example of MCMC methods in QFTs in action. MCMC methods have revealed the non-perturbative phase structures, symmetry breaking, and bound states of particles in QFTs. The applications also resulted in new outcomes due to cross-fertilization with research areas such as AdS/CFT correspondence in string theory and condensed matter physics. The book is aimed at advanced undergraduate students and graduate students in physics and applied mathematics, and researchers in MCMC simulations and QFTs. At the end of this book the reader will be able to apply the techniques learned to produce more independent and novel research in the field.
| Author | : Raymond F. Rudell (CAPT, USAF., Jr) |
| Publisher | : |
| Total Pages | : |
| Release | : 1970 |
| Genre | : |
| ISBN | : |
Download A Primer on the Application of the Monte CArlo Method to Neutral Particle Transport Book in PDF, ePub and Kindle
| Author | : Metodi Mazhdrakov |
| Publisher | : ACMO Academic Press |
| Total Pages | : 251 |
| Release | : 2018-08-19 |
| Genre | : Mathematics |
| ISBN | : 6199068432 |
Download The Monte Carlo Method Book in PDF, ePub and Kindle
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.
