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Author: G.I. Marchuk
Publisher: Springer
ISBN: 9783662135020
Category : Technology & Engineering
Languages : en
Pages : 210
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Book Description
This monograph is devoted to urgent questions of the theory and applications of the Monte Carlo method for solving problems of atmospheric optics and hydrooptics. The importance of these problems has grown because of the increas ing need to interpret optical observations, and to estimate radiative balance precisely for weather forecasting. Inhomogeneity and sphericity of the atmos phere, absorption in atmospheric layers, multiple scattering and polarization of light, all create difficulties in solving these problems by traditional methods of computational mathematics. Particular difficulty arises when one must solve nonstationary problems of the theory of transfer of narrow beams that are connected with the estimation of spatial location and time characteristics of the radiation field. The most universal method for solving those problems is the Monte Carlo method, which is a numerical simulation of the radiative-transfer process. This process can be regarded as a Markov chain of photon collisions in a medium, which result in scattering or absorption. The Monte Carlo tech nique consists in computational simulation of that chain and in constructing statistical estimates of the desired functionals. The authors of this book have contributed to the development of mathemati cal methods of simulation and to the interpretation of optical observations. A series of general method using Monte Carlo techniques has been developed. The present book includes theories and algorithms of simulation. Numerical results corroborate the possibilities and give an impressive prospect of the applications of Monte Carlo methods.
Author: G.I. Marchuk
Publisher: Springer
ISBN: 9783662135020
Category : Technology & Engineering
Languages : en
Pages : 210
Get Book Here
Book Description
This monograph is devoted to urgent questions of the theory and applications of the Monte Carlo method for solving problems of atmospheric optics and hydrooptics. The importance of these problems has grown because of the increas ing need to interpret optical observations, and to estimate radiative balance precisely for weather forecasting. Inhomogeneity and sphericity of the atmos phere, absorption in atmospheric layers, multiple scattering and polarization of light, all create difficulties in solving these problems by traditional methods of computational mathematics. Particular difficulty arises when one must solve nonstationary problems of the theory of transfer of narrow beams that are connected with the estimation of spatial location and time characteristics of the radiation field. The most universal method for solving those problems is the Monte Carlo method, which is a numerical simulation of the radiative-transfer process. This process can be regarded as a Markov chain of photon collisions in a medium, which result in scattering or absorption. The Monte Carlo tech nique consists in computational simulation of that chain and in constructing statistical estimates of the desired functionals. The authors of this book have contributed to the development of mathemati cal methods of simulation and to the interpretation of optical observations. A series of general method using Monte Carlo techniques has been developed. The present book includes theories and algorithms of simulation. Numerical results corroborate the possibilities and give an impressive prospect of the applications of Monte Carlo methods.
Author: G.I. Marchuk
Publisher: Springer
ISBN: 3540352376
Category : Science
Languages : en
Pages : 218
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Book Description
This monograph is devoted to urgent questions of the theory and applications of the Monte Carlo method for solving problems of atmospheric optics and hydrooptics. The importance of these problems has grown because of the increas ing need to interpret optical observations, and to estimate radiative balance precisely for weather forecasting. Inhomogeneity and sphericity of the atmos phere, absorption in atmospheric layers, multiple scattering and polarization of light, all create difficulties in solving these problems by traditional methods of computational mathematics. Particular difficulty arises when one must solve nonstationary problems of the theory of transfer of narrow beams that are connected with the estimation of spatial location and time characteristics of the radiation field. The most universal method for solving those problems is the Monte Carlo method, which is a numerical simulation of the radiative-transfer process. This process can be regarded as a Markov chain of photon collisions in a medium, which result in scattering or absorption. The Monte Carlo tech nique consists in computational simulation of that chain and in constructing statistical estimates of the desired functionals. The authors of this book have contributed to the development of mathemati cal methods of simulation and to the interpretation of optical observations. A series of general method using Monte Carlo techniques has been developed. The present book includes theories and algorithms of simulation. Numerical results corroborate the possibilities and give an impressive prospect of the applications of Monte Carlo methods.
Author: Guriĭ Ivanovich Marchuck
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Guriĭ Ivanovich Marchuk
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 232
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Book Description
This monograph is devoted to urgent questions of the theory and applications of the Monte Carlo method for solving problems of atmospheric optics and hydro-optics. The importance of these problems has grown because of the increasing need to interpret optical observations, and to estimate radiative balance precisely for weather forecasting. Inhomogeneity and sphericity of the atmosphere, absorption in atmospheric layers, multiple scattering and polarization of light, all create difficulties in solving these problems by traditional methods of computational mathematics. Particular difficulty arises when one must solve nonstationary problems of the theory of transfer of narrow beams that are connected with the estimation of spatial location and time characteristics of the radiation field. The most universal method for solving those problems is the Monte Carlo method, which is a numerical simulation of the radiative-transfer process. This process can be regarded as a Markov chain of photon collisions in a medium, which result in scattering or absorption. The Monte Carlo technique consists in computational simulation of that chain and in constructing statistical estimates of the desired functionals. The authors of this book have contributed to the development of mathematical methods of simulation and to the interpretation of optical observations. A series of general methods using Monte Carlo techniques has been developed. The present book includes theories and algorithms of simulation. Numerical results corroborate the possibilities and give an impressive prospect of the applications of Monte Carlo methods.
Author: Yu. M. Timofeyev
Publisher: Cambridge Int Science Publishing
ISBN: 1904602258
Category : Science
Languages : en
Pages : 488
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Book Description
The book describes the theoretical fundamentals of atmospheric optics as a science of propagation, transformation and generation of electromagnetic radiation in the atmosphere from ultraviolet to microwave radiation. The main characteristics of the planets of the solar system and their atmospheres are given. The equation of the transfer of radiation in different spectral ranges, absorption of radiation by atmospheric gases and aerosol, molecular, aerosol and other types of nonresonant scattering, atmospheric refraction, reflection of radiation from the surface, and glow of the atmosphere are discussed. Methods of calculating radiation for the solar and thermal range of the spectrum are outlined. Problems of radiation energetics and remote probing of the atmosphere are discussed. 1. Solar system: planets and the Sun 2. Earth's atmosphere 3. Propagation of radiation in atmosphere 4. Molecular absorption in atmosphere 5. Scattering of light in atmosphere 6. Optical properties of underlying surfaces 7. Fundamentals of theory of transfer of natural radiation of atmosphere 8. Main concepts of theory of transfer of solar radiation 9. Radiation energetics of the atmosphereunderlying suface system 10. Radiation as a source of information on optical and physical parameters of planet atmospheres
Author: V. S. Antyufeev
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110920301
Category : Mathematics
Languages : en
Pages : 204
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Book Description
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.
Author: I Dimov
Publisher: World Scientific
ISBN: 9814611417
Category :
Languages : en
Pages : 146
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Book Description
These proceedings present recent advances in the Monte Carlo methods, covering theoretical aspects, a wide range of applications in solving problems, and parallel algorithms for Monte Carlo computations.
Author: Matthew N.O. Sadiku
Publisher: CRC Press
ISBN: 1351834355
Category : Mathematics
Languages : en
Pages : 191
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Book Description
Until now, novices had to painstakingly dig through the literature to discover how to use Monte Carlo techniques for solving electromagnetic problems. Written by one of the foremost researchers in the field, Monte Carlo Methods for Electromagnetics provides a solid understanding of these methods and their applications in electromagnetic computation. Including much of his own work, the author brings together essential information from several different publications. Using a simple, clear writing style, the author begins with a historical background and review of electromagnetic theory. After addressing probability and statistics, he introduces the finite difference method as well as the fixed and floating random walk Monte Carlo methods. The text then applies the Exodus method to Laplace’s and Poisson’s equations and presents Monte Carlo techniques for handing Neumann problems. It also deals with whole field computation using the Markov chain, applies Monte Carlo methods to time-varying diffusion problems, and explores wave scattering due to random rough surfaces. The final chapter covers multidimensional integration. Although numerical techniques have become the standard tools for solving practical, complex electromagnetic problems, there is no book currently available that focuses exclusively on Monte Carlo techniques for electromagnetics. Alleviating this problem, this book describes Monte Carlo methods as they are used in the field of electromagnetics.
Author: Charles J. Mode
Publisher: BoD – Books on Demand
ISBN: 9533074272
Category : Computers
Languages : en
Pages : 442
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Book Description
This volume is an eclectic mix of applications of Monte Carlo methods in many fields of research should not be surprising, because of the ubiquitous use of these methods in many fields of human endeavor. In an attempt to focus attention on a manageable set of applications, the main thrust of this book is to emphasize applications of Monte Carlo simulation methods in biology and medicine.
Author: G A Mikhailov
Publisher: World Scientific
ISBN: 9814506117
Category : Mathematics
Languages : en
Pages : 173
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Book Description
Non-analogue Monte Carlo methods are useful when the direct simulation techniques are insufficient. To use the additional discretization, Monte Carlo estimates are biased and it is desirable to optimize the connection between discretization parameters and the sample size. In this connection, the book investigates variances of non-analogue Monte Carlo estimates, uniform minimization of variances by choosing a computational model and the minimization of computational cost of non-analogue Monte Carlo methods.This book is essentially new with respect to previous monographs on the Monte Carlo methods.
