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Exploring Monte Carlo Methods

Autor William L. Dunn, J. Kenneth Shultis
en Limba Engleză Paperback – 12 aug 2022
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.

  • Provides a comprehensive yet concise treatment of Monte Carlo methods
  • Uses the famous "Buffon’s needle problem" as a unifying theme to illustrate the many aspects of Monte Carlo methods
  • Includes numerous exercises and useful appendices on: Certain mathematical functions, Bose Einstein functions, Fermi Dirac functions and Watson functions
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Specificații

ISBN-13: 9780128197394
ISBN-10: 0128197390
Pagini: 592
Dimensiuni: 152 x 229 x 29 mm
Greutate: 0.92 kg
Ediția:2
Editura: ELSEVIER SCIENCE

Cuprins

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

Recenzii

"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