A Monte Carlo Primer A Practical Approach to Radiation Transport
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 i...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer US
2002, 2002
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Edition: | 1st ed. 2002 |
Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 1.1 The Monte Carlo Method
- 1.2 The Evaluation of Random Processes>
- 1.3 Monte Carlo Evaluation of Definite Integrals
- Exercises
- 2. Monte Carlo Sampling Techniques
- 2.1 Probability Theory and Statistics
- 2.2 Sampling
- 2.3 Means and Variances
- 2.4 Estimations of Means and Variances
- 2.5 Introduction to Variance Reduction Techniques
- Exercises
- 3. Monte Carlo Modeling of Neutron Transport
- 3.1 Introduction
- 3.2 Neutron Interactions and Mean Free Path
- 3.3 Neutron Transport
- 3.4 A Mathematical Basis for Monte Carlo Neutron Transport
- 3.5 Monte Carlo Modeling of Neutron Motion
- 3.6 Particle Flight Path in Complex Geometries
- 3.7 Multi-Region Problems
- Exercises
- 4. Energy-Dependent Neutron Transport
- 4.1 Elastic Scattering of Neutrons
- 4.2 Transformation of Post-Collision Direction to Laboratory System
- 4.3 Energy-Dependent Cross Sections
- Exercises
- 5. A Probabilistic Framework Code
- 5.1 Introduction to PFC
- 5.2