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Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing


Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing
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Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing


Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing
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Author : Harald Niederreiter
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing written by Harald Niederreiter 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 2012-12-06 with Mathematics categories.


Scientists and engineers are increasingly making use of simulation methods to solve problems which are insoluble by analytical techniques. Monte Carlo methods which make use of probabilistic simulations are frequently used in areas such as numerical integration, complex scheduling, queueing networks, and large-dimensional simulations. This collection of papers arises from a conference held at the University of Nevada, Las Vegas, in 1994. The conference brought together researchers across a range of disciplines whose interests include the theory and application of these methods. This volume provides a timely survey of this field and the new directions in which the field is moving.



Introduction To Quasi Monte Carlo Integration And Applications


Introduction To Quasi Monte Carlo Integration And Applications
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Author : Gunther Leobacher
language : en
Publisher: Springer
Release Date : 2014-09-12

Introduction To Quasi Monte Carlo Integration And Applications written by Gunther Leobacher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-12 with Mathematics categories.


This textbook introduces readers to the basic concepts of quasi-Monte Carlo methods for numerical integration and to the theory behind them. The comprehensive treatment of the subject with detailed explanations comprises, for example, lattice rules, digital nets and sequences and discrepancy theory. It also presents methods currently used in research and discusses practical applications with an emphasis on finance-related problems. Each chapter closes with suggestions for further reading and with exercises which help students to arrive at a deeper understanding of the material presented. The book is based on a one-semester, two-hour undergraduate course and is well-suited for readers with a basic grasp of algebra, calculus, linear algebra and basic probability theory. It provides an accessible introduction for undergraduate students in mathematics or computer science.



Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing


Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing
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Author : Harald Niederreiter
language : en
Publisher:
Release Date : 1995-09-11

Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing written by Harald Niederreiter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-11 with categories.




Random Number Generation And Monte Carlo Methods


Random Number Generation And Monte Carlo Methods
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Author : James E. Gentle
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Random Number Generation And Monte Carlo Methods written by James E. Gentle 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 2013-03-14 with Computers categories.


The role of Monte Carlo methods and simulation in all of the sciences has in creased in importance during the past several years. These methods are at the heart of the rapidly developing subdisciplines of computational physics, compu tational chemistry, and the other computational sciences. The growing power of computers and the evolving simulation methodology have led to the recog nition of computation as a third approach for advancing the natural sciences, together with theory and traditional experimentation. Monte Carlo is also a fundamental tool of computational statistics. At the kernel of a Monte Carlo or simulation method is random number generation. Generation of random numbers is also at the heart of many standard statis tical methods. The random sampling required in most analyses is usually done by the computer. The computations required in Bayesian analysis have become viable because of Monte Carlo methods. This has led to much wider applications of Bayesian statistics, which, in turn, has led to development of new Monte Carlo methods and to refinement of existing procedures for random number generation.



Digital Nets And Sequences


Digital Nets And Sequences
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Author : Josef Dick
language : en
Publisher: Cambridge University Press
Release Date : 2010-09-09

Digital Nets And Sequences written by Josef Dick and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-09 with Computers categories.


Indispensable for students, invaluable for researchers, this comprehensive treatment of contemporary quasi–Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi–Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses with numerous examples, exercises and illustrations.



Monte Carlo Methods For Applied Scientists


Monte Carlo Methods For Applied Scientists
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Author : Ivan Dimov
language : en
Publisher: World Scientific
Release Date : 2008

Monte Carlo Methods For Applied Scientists written by Ivan Dimov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


The Monte Carlo method is inherently parallel and the extensive and rapid development in parallel computers, computational clusters and grids has resulted in renewed and increasing interest in this method. At the same time there has been an expansion in the application areas and the method is now widely used in many important areas of science including nuclear and semiconductor physics, statistical mechanics and heat and mass transfer. This book attempts to bridge the gap between theory and practice concentrating on modern algorithmic implementation on parallel architecture machines. Although a suitable text for final year postgraduate mathematicians and computational scientists it is principally aimed at the applied scientists: only a small amount of mathematical knowledge is assumed and theorem proving is kept to a minimum, with the main focus being on parallel algorithms development often to applied industrial problems. A selection of algorithms developed both for serial and parallel machines are provided. Sample Chapter(s). Chapter 1: Introduction (231 KB). Contents: Basic Results of Monte Carlo Integration; Optimal Monte Carlo Method for Multidimensional Integrals of Smooth Functions; Iterative Monte Carlo Methods for Linear Equations; Markov Chain Monte Carlo Methods for Eigenvalue Problems; Monte Carlo Methods for Boundary-Value Problems (BVP); Superconvergent Monte Carlo for Density Function Simulation by B-Splines; Solving Non-Linear Equations; Algorithmic Effciency for Different Computer Models; Applications for Transport Modeling in Semiconductors and Nanowires. Readership: Applied scientists and mathematicians.



Monte Carlo And Quasi Monte Carlo Methods 2006


Monte Carlo And Quasi Monte Carlo Methods 2006
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Author : Alexander Keller
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-30

Monte Carlo And Quasi Monte Carlo Methods 2006 written by Alexander Keller 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 2007-12-30 with Mathematics categories.


This book presents the refereed proceedings of the Seventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, held in Ulm, Germany, in August 2006. The proceedings include carefully selected papers on many aspects of Monte Carlo and quasi-Monte Carlo methods and their applications. They also provide information on current research in these very active areas.



Monte Carlo And Quasi Monte Carlo Methods 2008


Monte Carlo And Quasi Monte Carlo Methods 2008
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Author : Pierre L' Ecuyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-14

Monte Carlo And Quasi Monte Carlo Methods 2008 written by Pierre L' Ecuyer 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 2010-01-14 with Mathematics categories.


This book represents the refereed proceedings of the Eighth International Conference on Monte Carlo (MC)and Quasi-Monte Carlo (QMC) Methods in Scientific Computing, held in Montreal (Canada) in July 2008. It covers the latest theoretical developments as well as important applications of these methods in different areas. It contains two tutorials, eight invited articles, and 32 carefully selected articles based on the 135 contributed presentations made at the conference. This conference is a major event in Monte Carlo methods and is the premiere event for quasi-Monte Carlo and its combination with Monte Carlo. This series of proceedings volumes is the primary outlet for quasi-Monte Carlo research.



Conference Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing


Conference Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing
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Author :
language : un
Publisher:
Release Date :

Conference Monte Carlo And Quasi Monte Carlo Methods In Scientific Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Monte Carlo And Quasi Monte Carlo Methods 2010


Monte Carlo And Quasi Monte Carlo Methods 2010
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Author : Leszek Plaskota
language : en
Publisher: Springer
Release Date : 2012-08-24

Monte Carlo And Quasi Monte Carlo Methods 2010 written by Leszek Plaskota and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-24 with Mathematics categories.


This book represents the refereed proceedings of the Ninth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of Warsaw (Poland) in August 2010. These biennial conferences are major events for Monte Carlo and the premiere event for quasi-Monte Carlo research. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasi-Monte Carlo methods. The reader will be provided with information on latest developments in these very active areas. The book is an excellent reference for theoreticians and practitioners interested in solving high-dimensional computational problems arising, in particular, in finance and statistics.