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Minimization Of Computational Costs Of Non-analogue Monte Carlo Methods

Author : G A Mikhailov

Publisher : World Scientific

Page : 173 pages

File Size : 25,90 MB

Release : 1992-01-10

Category : Mathematics

ISBN : 9814506117

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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.





Parametric Estimates by the Monte Carlo Method

Author : G. A. Mikhailov

Publisher : Walter de Gruyter GmbH & Co KG

Page : 196 pages

File Size : 49,32 MB

Release : 2018-11-05

Category : Mathematics

ISBN : 3110941953

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Book Description

No detailed description available for "Parametric Estimates by the Monte Carlo Method".



Spectral Models of Random Fields in Monte Carlo Methods

Author : Serge M. Prigarin

Publisher : VSP

Page : 220 pages

File Size : 28,27 MB

Release : 2001

Category : Science

ISBN : 9789067643436

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Book Description

Spectral models were developed in the 1970s and have appeared to be very promising for various applications. Nowadays, spectral models are extensively used for stochastic simulation in atmosphere and ocean optics, turbulence theory, analysis of pollution transport for porous media, astrophysics, and other fields of science. The spectral models presented in this monograph represent a new class of numerical methods aimed at simulation of random processes and fields. The book is divided into four chapters, which deal with scalar spectral models and some of their applications, vector-valued spectral models, convergence of spectral models, and problems of optimisation and convergence for functional Monte Carlo methods. Furthermore, the monograph includes four appendices, in which auxiliary information is presented and additional problems are discussed. The book will be of value and interest to experts in Monte Carlo methods, as well as to those interested in the theory and applications of stochastic simulation.



Adaptive Methods of Computing Mathematics and Mechanics

Author : Dmitrij G. Arsen'ev

Publisher : World Scientific

Page : 440 pages

File Size : 37,78 MB

Release : 1999

Category : Mathematics

ISBN : 9789810235017

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Book Description

This book describes adaptive methods of statistical numerical analysis using evaluation of integrals, solution of integral equations, boundary value problems of the theory of elasticity and heat conduction as examples. The results and approaches provided in this book are different from those available in the literature as detailed descriptions of the mechanisms of adaptation of statistical evaluation procedures, which accelerate their convergence, are given.



Computational Methods for Linear Integral Equations

Author : Prem Kythe

Publisher : Springer Science & Business Media

Page : 530 pages

File Size : 44,52 MB

Release : 2002-04-26

Category : Mathematics

ISBN : 9780817641924

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Book Description

This book presents numerical methods and computational aspects for linear integral equations. Such equations occur in various areas of applied mathematics, physics, and engineering. The material covered in this book, though not exhaustive, offers useful techniques for solving a variety of problems. Historical information cover ing the nineteenth and twentieth centuries is available in fragments in Kantorovich and Krylov (1958), Anselone (1964), Mikhlin (1967), Lonseth (1977), Atkinson (1976), Baker (1978), Kondo (1991), and Brunner (1997). Integral equations are encountered in a variety of applications in many fields including continuum mechanics, potential theory, geophysics, electricity and mag netism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control sys tems, communication theory, mathematical economics, population genetics, queue ing theory, and medicine. Most of the boundary value problems involving differ ential equations can be converted into problems in integral equations, but there are certain problems which can be formulated only in terms of integral equations. A computational approach to the solution of integral equations is, therefore, an essential branch of scientific inquiry.



Large-Scale Scientific Computing

Author : Svetozar D. Margenov

Publisher : Springer

Page : 500 pages

File Size : 13,25 MB

Release : 2003-06-30

Category : Computers

ISBN : 3540453466

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Book Description

This book constitutes the thoroughly refereed post-proceedings of the Third International Conference on Large-Scale Scientific Computing, LSSC 2001, held in Sozopol, Bulgaria, in June 2001. The 7 invited full papers and 45 selected revised papers were carefully reviewed for inclusion in the book. The papers are organized in topical sections on robust preconditioning algorithms, Monte-Carlo methods, advanced programming environments for scientific computing, large-scale computations in air pollution modeling, large-scale computations in mechanical engineering, and numerical methods for incompressible flow.



Advances in Nuclear Science and Technology

Author : Jeffery Lewins

Publisher : Springer Science & Business Media

Page : 296 pages

File Size : 18,57 MB

Release : 2006-04-18

Category : Technology & Engineering

ISBN : 0306478129

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Book Description

The present review volume not only covers a wide range of topics pertinent to nuclear science and technology, but has attracted a distinguished international authorship, for which the editors are grateful. The opening review by Drs. Janet Tawn and Richard Wakeford addresses the difficult matter of questioning sci- tific hypotheses in a court of law. The United Kingdom experienced a substantial nuclear accident in the 1950s in the form of the Windscale Pile fire. This in itself had both good and bad consequences; the setting up of a licensing authority to ensure nuclear safety was one, the understandable public sentiment concerning nuclear power (despite the fire occurring in a weapons pile) the other. Windscale today is subsumed in the reprocessing plant at Sellafield operated by British Nuclear Fuels plc and it was inevitable perhaps that when an excess cluster of childhood leukaemia was observed in the nearby village of Seascale that public concern should be promoted by the media, leading to the hearing of a claim of compensation brought on behalf of two of the families of BNFLs workers who had suffered that loss. The review article demonstrates the complexity of und- standing such a claim against the statistical fluctuations inherent and shows how the courts were persuaded of the need to propose a biological mechanism if responsibility were to be held. The Company were undoubtedly relieved by the finding.



Numerical Modelling of Random Processes and Fields

Author : V. A. Ogorodnikov

Publisher : Walter de Gruyter GmbH & Co KG

Page : 252 pages

File Size : 40,41 MB

Release : 2018-11-05

Category : Mathematics

ISBN : 3110941996

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Book Description

No detailed description available for "Numerical Modelling of Random Processes and Fields".



Topics in Industrial Mathematics

Author : H Neunzert

Publisher : Springer Science & Business Media

Page : 386 pages

File Size : 10,24 MB

Release : 2013-06-29

Category : Mathematics

ISBN : 1475732228

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Book Description

Industrial Mathematics is a relatively recent discipline. It is concerned primarily with transforming technical, organizational and economic problems posed by indus try into mathematical problems; "solving" these problems byapproximative methods of analytical and/or numerical nature; and finally reinterpreting the results in terms of the original problems. In short, industrial mathematics is modelling and scientific computing of industrial problems. Industrial mathematicians are bridge-builders: they build bridges from the field of mathematics to the practical world; to do that they need to know about both sides, the problems from the companies and ideas and methods from mathematics. As mathematicians, they have to be generalists. If you enter the world of indus try, you never know which kind of problems you will encounter, and which kind of mathematical concepts and methods you will need to solve them. Hence, to be a good "industrial mathematician" you need to know a good deal of mathematics as well as ideas already common in engineering and modern mathematics with tremen dous potential for application. Mathematical concepts like wavelets, pseudorandom numbers, inverse problems, multigrid etc., introduced during the last 20 years have recently started entering the world of real applications. Industrial mathematics consists of modelling, discretization, analysis and visu alization. To make a good model, to transform the industrial problem into a math ematical one such that you can trust the prediction of the model is no easy task.