Comparison Of Monte Carlo Methods For Nonlinear Radiation Transport
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Comparison Of Monte Carlo Methods For Nonlinear Radiation Transport
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Author :
language : en
Publisher:
Release Date : 2001
Comparison Of Monte Carlo Methods For Nonlinear Radiation Transport 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.
Five Monte Carlo methods for solving the nonlinear thermal radiation transport equations are compared. The methods include the well-known Implicit Monte Carlo method (IMC) developed by Fleck and Cummings, an alternative to IMC developed by Carter and Forest, an ''exact'' method recently developed by Ahrens and Larsen, and two methods recently proposed by Martin and Brown. The five Monte Carlo methods are developed and applied to the radiation transport equation in a medium assuming local thermodynamic equilibrium. Conservation of energy is derived and used to define appropriate material energy update equations for each of the methods. Details of the Monte Carlo implementation are presented, both for the random walk simulation and the material energy update. Simulation results for all five methods are obtained for two infinite medium test problems and a 1-D test problem, all of which have analytical solutions. Conclusions regarding the relative merits of the various schemes are presented.
The Calculation Of Nonlinear Radiation Transport By A Monte Carlo Method
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Author :
language : en
Publisher:
Release Date : 1961
The Calculation Of Nonlinear Radiation Transport By A Monte Carlo Method written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Comparison Of Monte Carlo And Discrete Transfer Methods For Modelling Thermal Radiation
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Author : P. W. Guilbert
language : en
Publisher:
Release Date : 1989
Comparison Of Monte Carlo And Discrete Transfer Methods For Modelling Thermal Radiation written by P. W. Guilbert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Thermodynamics categories.
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.
Parametric Estimates By The Monte Carlo Method
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Author : Gennadij Alekseevič Michajlov
language : en
Publisher: VSP
Release Date : 1999
Parametric Estimates By The Monte Carlo Method written by Gennadij Alekseevič Michajlov and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This monograph is devoted to the further development of parametric weight Monte Carlo estimates for solving linear and nonlinear integral equations, radiation transfer equations, and boundary value problems, including problems with random parameters. The use of these estimates leads to the construction of new, effective Monte Carlo methods for calculating parametric multiple derivatives of solutions and for the main eigenvalues. The book opens with an introduction on the theory of weight Monte Carlo methods. The following chapters contain new material on solving boundary value problems with complex parameters, mixed problems to parabolic equations, boundary value problems of the second and third kind, and some improved techniques related to vector and nonlinear Helmholtz equations. Special attention is given to the foundation and optimization of the global 'walk on grid' method for solving the Helmholtz difference equation. Additionally, new Monte Carlo methods for solving stochastic radiation transfer problems are presented, including the estimation of probabilistic moments of corresponding critical parameters.
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.
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.
Monte Carlo Particle Transport Methods
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Author : I. Lux
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Monte Carlo Particle Transport Methods written by I. Lux and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Science categories.
With this book we try to reach several more-or-less unattainable goals namely: To compromise in a single book all the most important achievements of Monte Carlo calculations for solving neutron and photon transport problems. To present a book which discusses the same topics in the three levels known from the literature and gives us useful information for both beginners and experienced readers. It lists both well-established old techniques and also newest findings.
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.
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.