Exploring Monte Carlo Methods

by William L. Dunn, J. Kenneth Shultis

Overview

Exploring Monte Carlo Methods, Second Edition provides a valuable introduction to the numerical methods that have come to be known as "Monte Carlo." This unique and trusted resource for course use, as well as researcher reference, offers accessible coverage, clear explanations and helpful examples throughout. Building from the basics, the text also includes applications in a variety of fields, such as physics, nuclear engineering, finance and investment, medical modeling and prediction, archaeology, geology and transportation planning.

Product Details

ISBN-13:	9780128197394
Publisher:	Elsevier Science
Publication date:	07/27/2022
Edition description:	2nd ed.
Pages:	592
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Dr. Bill Dunn graduated with a BS degree in Electrical Engineering from the University of Notre Dame and MS and PhD degrees in Nuclear Engineering from North Carolina State University (NCSU). He was employed by Carolina Power & Light Company for four years and then served on the faculty and staff of the Nuclear Engineering Department at NCSU for two years. From 1979 until 2002, Dr. Dunn was involved in contract research. From 1988 until 2002, he was President of Quantum Research Services. He is now Professor and former Department Head of the Mechanical and Nuclear Engineering Department at Kansas State University. He is an editor of the journal Radiation Physics and Chemistry and Treasurer of the International Radiation Physics Society. In 2015, Dr. Dunn was recognized with the Radiation Science and Technology Award by the American Nuclear Society.

J. Kenneth Shultis, born in Toronto, Canada, graduated from the University of Toronto with a BASc degree in Engineering Physics (1964). He gained his MS (1965) and PhD (1968) degrees in Nuclear Science and Engineering from the University of Michigan. After a postdoctoral year at the Mathematics Institute of the University of Groningen, the Netherlands, he joined the Nuclear Engineering faculty at Kansas State University in 1969. He teaches and conducts research in radiation transport, radiation shielding, Monte Carlo methods, reactor physics, optimization of new type of radiation detectors, numerical analysis, particle combustion, remote sensing, and utility energy and economic analyses. He is a Fellow of the American Nuclear Society, and has received many awards for his teaching and research. Dr. Shultis is the author or co-author of 6 text books on radiation shielding, radiological assessment, nuclear science and technology, and Monte Carlo methods. He has written over 200 research papers and reports, and served as a consultant to many private and governmental organizations.

Table of Contents

1. Introduction 2. The Basis of Monte Carlo 3. Pseudorandom Number Generators 4. Sampling, Scoring, and Precision 5. Variance Reduction Techniques 6. Markov Chain Monte Carlo 7. Inverse Monte Carlo 8. Linear Operator Equations 9. The Fundamentals of Neutral Particle Transport 10. Monte Carlo Simulation of Neutral Particle Transport 11. Monte Carlo Applications

What People are Saying About This

From the Publisher

A valuable introduction that features clear explanations and illustrative examples of Monte Carlo methods for students and researchers

Editorial Reviews

"Anyone interested in learning about the basics of the Monte Carlo method, and its potential applications, will find this an excellent book…ideal book for an undergraduate or graduate course in mathematics or statistics." —IEEE Electrical Insulation Magazine

"Emphasizing the burgeoning practical applications rather than strict mathematical rigor of methods that have been used for about a century, this text is intended as an introduction for undergraduate or graduate courses, as a self-teaching guide, and as a reference. The first eight chapters are generic and are relevant to applications in any field. They include discussion of history and definition; the basis; sampling, scoring, and precision; variance reduction techniques; Markov chain and inverse Monte Carlo; and linear operator equations. Following are two chapters on radiation transport, a field familiar to authors William L. Dunn and J. Kenneth Shultis (both are nuclear engineers affiliated with Kansas State U.), but the focus remains on general principles that can be applied in many fields. Each chapter includes examples and problems and exercises. Five appendices contain supporting material." —Reference and Research Book News

"Overall, the book is very well written, and the contents are concisely and logically introduced. It should be very useful as a textbook for undergraduate or graduate courses in numerical methods employing Monte Carlo techniques like molecular simulations." —Contemporary Physics

From the Publisher