Advantages Of Analytical Transformations In Monte Carlo Methods For Radiation Transport
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Advantages Of Analytical Transformations In Monte Carlo Methods For Radiation Transport
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Author : M. S. McKinley
language : en
Publisher:
Release Date : 2004
Advantages Of Analytical Transformations In Monte Carlo Methods For Radiation Transport written by M. S. McKinley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Monte Carlo methods for radiation transport typically attempt to solve an integral by directly sampling analog or weighted particles, which are treated as physical entities. Improvements to the methods involve better sampling, probability games or physical intuition about the problem. We show that significant improvements can be achieved by recasting the equations with an analytical transform to solve for new, non-physical entities or fields. This paper looks at one such transform, the difference formulation for thermal photon transport, showing a significant advantage for Monte Carlo solution of the equations for time dependent transport. Other related areas are discussed that may also realize significant benefits from similar analytical transformations.
Monte Carlo Method For Solving Inverse Problems Of Radiation Transfer
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Author : V. S. Antyufeev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24
Monte Carlo Method For Solving Inverse Problems Of Radiation Transfer written by V. S. Antyufeev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Monte Carlo Methods For Radiation Transport
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Author : Oleg N. Vassiliev
language : en
Publisher: Springer
Release Date : 2016-10-17
Monte Carlo Methods For Radiation Transport written by Oleg N. Vassiliev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-17 with Science categories.
This book is a guide to the use of Monte Carlo techniques in radiation transport. This topic is of great interest for medical physicists. Praised as a "gold standard" for accurate radiotherapy dose calculations, Monte Carlo has stimulated a high level of research activity that has produced thousands of papers within the past few years. The book is designed primarily to address the needs of an academically inclined medical physicist who wishes to learn the technique, as well as experienced users of standard Monte Carlo codes who wish to gain insight into the underlying mathematics of Monte Carlo algorithms. The book focuses on the fundamentals—giving full attention to and explaining the very basic concepts. It also includes advanced topics and covers recent advances such as transport of charged particles in magnetic fields and the grid-based solvers of the Boltzmann equation.
Advanced Monte Carlo For Radiation Physics Particle Transport Simulation And Applications
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Author : Andreas Kling
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-02-22
Advanced Monte Carlo For Radiation Physics Particle Transport Simulation And Applications written by Andreas Kling 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 2014-02-22 with Science categories.
This book focuses on the state of the art of Monte Carlo methods in radiation physics and particle transport simulation and applications. Special attention is paid to algorithm development for modeling, and the analysis of experiments and measurements in a variety of fields.
Methods In Monte Carlo Solution Of The Radiation Transport Equation
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Author : Malvin H. Kalos
language : en
Publisher:
Release Date : 1962
Methods In Monte Carlo Solution Of The Radiation Transport Equation written by Malvin H. Kalos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Monte Carlo method categories.
A discussion is given of certain methods of importance sampling and scoring in the Monte Carlo solution of the radiation transport equation.
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.
The Analytical Monte Carlo Method For Radiation Transport Calculations
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Author :
language : en
Publisher:
Release Date : 2001
The Analytical Monte Carlo Method For Radiation Transport Calculations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Monte Carlo Methods For Particle Transport
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Author : Alireza Haghighat
language : en
Publisher:
Release Date : 2015
Monte Carlo Methods For Particle Transport written by Alireza Haghighat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Monte Carlo method categories.
The Monte Carlo method has become the de facto standard in radiation transport. Although powerful, if not understood and used appropriately, the method can give misleading results. Monte Carlo Methods for Particle Transport teaches appropriate use of the Monte Carlo method, explaining the method's fundamental concepts as well as its limitations. Concise yet comprehensive, this well-organized text: introduces the particle importance equation and its use for variance reduction; describes general and particle-transport-specific variance reduction techniques; presents particle transport eigenvalue issues and methodologies to address these issues; explores advanced formulations based on the author's research activities; discusses parallel processing concepts and factors affecting parallel performance.
A Monte Carlo Method For The Analysis Of Gamma Radiation Transport From Distributed Sources In Laminated Shields
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Author : Martin Leimdörfer
language : en
Publisher:
Release Date : 1964
A Monte Carlo Method For The Analysis Of Gamma Radiation Transport From Distributed Sources In Laminated Shields written by Martin Leimdörfer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Minimizing The Cost Of Splitting In Monte Carlo Radiation Transport Simulation
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Author :
language : en
Publisher:
Release Date : 1980
Minimizing The Cost Of Splitting In Monte Carlo Radiation Transport Simulation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
A deterministic analysis of the computational cost associated with geometric splitting/Russian roulette in Monte Carlo radiation transport calculations is presented. Appropriate integro-differential equations are developed for the first and second moments of the Monte Carlo tally as well as time per particle history, given that splitting with Russian roulette takes place at one (or several) internal surfaces of the geometry. The equations are solved using a standard S/sub n/ (discrete ordinates) solution technique, allowing for the prediction of computer cost (formulated as the product of sample variance and time per particle history, sigma2/sub s/tau p) associated with a given set of splitting parameters. Optimum splitting surface locations and splitting ratios are determined. Benefits of such an analysis are particularly noteworthy for transport problems in which splitting is apt to be extensively employed (e.g., deep penetration calculations).