Lattice Rules for Multiple Integration and Discrepance

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Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (22 download)

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Book Synopsis Lattice Rules for Multiple Integration and Discrepance by : Harald Niederreiter

Download or read book Lattice Rules for Multiple Integration and Discrepance written by Harald Niederreiter and published by . This book was released on 1989 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Construction of Lattice Rules for Multiple Integration Based on a Weighted Discrepancy

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Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (243 download)

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Book Synopsis Construction of Lattice Rules for Multiple Integration Based on a Weighted Discrepancy by : Vasile Sinescu

Download or read book Construction of Lattice Rules for Multiple Integration Based on a Weighted Discrepancy written by Vasile Sinescu and published by . This book was released on 2008 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lattice Methods for Multiple Integration

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Publisher : Oxford University Press
ISBN 13 : 9780198534723
Total Pages : 256 pages
Book Rating : 4.5/5 (347 download)

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Book Synopsis Lattice Methods for Multiple Integration by : I. H. Sloan

Download or read book Lattice Methods for Multiple Integration written by I. H. Sloan and published by Oxford University Press. This book was released on 1994 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book devoted to lattice methods, a recently developed way of calculating multiple integrals in many variables. Multiple integrals of this kind arise in fields such as quantum physics and chemistry, statistical mechanics, Bayesian statistics and many others. Lattice methods are an effective tool when the number of integrals are large. The book begins with a review of existing methods before presenting lattice theory in a thorough, self-contained manner, with numerous illustrations and examples. Group and number theory are included, but the treatment is such that no prior knowledge is needed. Not only the theory but the practical implementation of lattice methods is covered. An algorithm is presented alongside tables not available elsewhere, which together allow the practical evaluation of multiple integrals in many variables. Most importantly, the algorithm produces an error estimate in a very efficient manner. The book also provides a fast track for readers wanting to move rapidly to using lattice methods in practical calculations. It concludes with extensive numerical tests which compare lattice methods with other methods, such as the Monte Carlo.

Lattice Rules

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Publisher : Springer Nature
ISBN 13 : 3031099516
Total Pages : 584 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Lattice Rules by : Josef Dick

Download or read book Lattice Rules written by Josef Dick and published by Springer Nature. This book was released on 2022-08-24 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for example, error analysis in reproducing kernel Hilbert spaces, fast component-by-component constructions, the curse of dimensionality and tractability, weighted integration and approximation problems, and applications of lattice rules.

Sequences, Discrepancies and Applications

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Publisher : Springer
ISBN 13 : 354068333X
Total Pages : 517 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Sequences, Discrepancies and Applications by : Michael Drmota

Download or read book Sequences, Discrepancies and Applications written by Michael Drmota and published by Springer. This book was released on 2006-11-14 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory.

Randomization of lattice rules for numerical multiple integration

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Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (22 download)

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Book Synopsis Randomization of lattice rules for numerical multiple integration by :

Download or read book Randomization of lattice rules for numerical multiple integration written by and published by . This book was released on 1990 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Panorama of Discrepancy Theory

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Publisher : Springer
ISBN 13 : 3319046969
Total Pages : 708 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis A Panorama of Discrepancy Theory by : William Chen

Download or read book A Panorama of Discrepancy Theory written by William Chen and published by Springer. This book was released on 2014-10-07 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory. Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling and is currently located at the crossroads of number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. This book presents an invitation to researchers and students to explore the different methods and is meant to motivate interdisciplinary research.

Digital Lattice Rules

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Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (224 download)

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Book Synopsis Digital Lattice Rules by : Josef Dick

Download or read book Digital Lattice Rules written by Josef Dick and published by . This book was released on 2004 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Integration

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Publisher : SIAM
ISBN 13 : 9781611971460
Total Pages : 464 pages
Book Rating : 4.9/5 (714 download)

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Book Synopsis Computational Integration by : Arnold R. Krommer

Download or read book Computational Integration written by Arnold R. Krommer and published by SIAM. This book was released on 1998-01-01 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey covers a wide range of topics fundamental to calculating integrals on computer systems and discusses both the theoretical and computational aspects of numerical and symbolic methods. It includes extensive sections on one- and multidimensional integration formulas, like polynomial, number-theoretic, and pseudorandom formulas, and deals with issues concerning the construction of numerical integration algorithms.

Applied Analysis and Differential Equations

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Publisher : World Scientific
ISBN 13 : 9812705945
Total Pages : 363 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Applied Analysis and Differential Equations by : Ovidiu Cƒrj?

Download or read book Applied Analysis and Differential Equations written by Ovidiu Cƒrj? and published by World Scientific. This book was released on 2007 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains refereed research articles written by experts in the field of applied analysis, differential equations and related topics. Well-known leading mathematicians worldwide and prominent young scientists cover a diverse range of topics, including the most exciting recent developments.A broad range of topics of recent interest are treated: existence, uniqueness, viability, asymptotic stability, viscosity solutions, controllability and numerical analysis for ODE, PDE and stochastic equations. The scope of the book is wide, ranging from pure mathematics to various applied fields such as classical mechanics, biomedicine, and population dynamics.

Monte Carlo and Quasi-Monte Carlo Methods 2006

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Publisher : Springer Science & Business Media
ISBN 13 : 3540744967
Total Pages : 684 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods 2006 by : Alexander Keller

Download or read book Monte Carlo and Quasi-Monte Carlo Methods 2006 written by Alexander Keller and published by Springer Science & Business Media. This book was released on 2007-12-30 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Uniform Distribution and Quasi-Monte Carlo Methods

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110375036
Total Pages : 294 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Uniform Distribution and Quasi-Monte Carlo Methods by : Peter Kritzer

Download or read book Uniform Distribution and Quasi-Monte Carlo Methods written by Peter Kritzer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-08-19 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is summarizing the results of the workshop "Uniform Distribution and Quasi-Monte Carlo Methods" of the RICAM Special Semester on "Applications of Algebra and Number Theory" in October 2013. The survey articles in this book focus on number theoretic point constructions, uniform distribution theory, and quasi-Monte Carlo methods. As deterministic versions of the Monte Carlo method, quasi-Monte Carlo rules enjoy increasing popularity, with many fruitful applications in mathematical practice, as for example in finance, computer graphics, and biology. The goal of this book is to give an overview of recent developments in uniform distribution theory, quasi-Monte Carlo methods, and their applications, presented by leading experts in these vivid fields of research.

Handbook of Computational Finance

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Publisher : Springer Science & Business Media
ISBN 13 : 3642172547
Total Pages : 791 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Handbook of Computational Finance by : Jin-Chuan Duan

Download or read book Handbook of Computational Finance written by Jin-Chuan Duan and published by Springer Science & Business Media. This book was released on 2011-10-25 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any financial asset that is openly traded has a market price. Except for extreme market conditions, market price may be more or less than a “fair” value. Fair value is likely to be some complicated function of the current intrinsic value of tangible or intangible assets underlying the claim and our assessment of the characteristics of the underlying assets with respect to the expected rate of growth, future dividends, volatility, and other relevant market factors. Some of these factors that affect the price can be measured at the time of a transaction with reasonably high accuracy. Most factors, however, relate to expectations about the future and to subjective issues, such as current management, corporate policies and market environment, that could affect the future financial performance of the underlying assets. Models are thus needed to describe the stochastic factors and environment, and their implementations inevitably require computational finance tools.

Random Number Generation and Quasi-Monte Carlo Methods

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Publisher : SIAM
ISBN 13 : 9781611970081
Total Pages : 247 pages
Book Rating : 4.9/5 (7 download)

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Book Synopsis Random Number Generation and Quasi-Monte Carlo Methods by : Harald Niederreiter

Download or read book Random Number Generation and Quasi-Monte Carlo Methods written by Harald Niederreiter and published by SIAM. This book was released on 1992-01-01 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tremendous progress has taken place in the related areas of uniform pseudorandom number generation and quasi-Monte Carlo methods in the last five years. This volume contains recent important work in these two areas, and stresses the interplay between them. Some developments contained here have never before appeared in book form. Includes the discussion of the integrated treatment of pseudorandom numbers and quasi-Monte Carlo methods; the systematic development of the theory of lattice rules and the theory of nets and (t,s)-sequences; the construction of new and better low-discrepancy point sets and sequences; Nonlinear congruential methods; the initiation of a systematic study of methods for pseudorandom vector generation; and shift-register pseudorandom numbers. Based on a series of 10 lectures presented by the author at a CBMS-NSF Regional Conference at the University of Alaska at Fairbanks in 1990 to a selected group of researchers, this volume includes background material to make the information more accessible to nonspecialists.

Monte Carlo and Quasi-Monte Carlo Sampling

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Publisher : Springer Science & Business Media
ISBN 13 : 038778165X
Total Pages : 373 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Sampling by : Christiane Lemieux

Download or read book Monte Carlo and Quasi-Monte Carlo Sampling written by Christiane Lemieux and published by Springer Science & Business Media. This book was released on 2009-04-03 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasi–Monte Carlo methods have become an increasingly popular alternative to Monte Carlo methods over the last two decades. Their successful implementation on practical problems, especially in finance, has motivated the development of several new research areas within this field to which practitioners and researchers from various disciplines currently contribute. This book presents essential tools for using quasi–Monte Carlo sampling in practice. The first part of the book focuses on issues related to Monte Carlo methods—uniform and non-uniform random number generation, variance reduction techniques—but the material is presented to prepare the readers for the next step, which is to replace the random sampling inherent to Monte Carlo by quasi–random sampling. The second part of the book deals with this next step. Several aspects of quasi-Monte Carlo methods are covered, including constructions, randomizations, the use of ANOVA decompositions, and the concept of effective dimension. The third part of the book is devoted to applications in finance and more advanced statistical tools like Markov chain Monte Carlo and sequential Monte Carlo, with a discussion of their quasi–Monte Carlo counterpart. The prerequisites for reading this book are a basic knowledge of statistics and enough mathematical maturity to follow through the various techniques used throughout the book. This text is aimed at graduate students in statistics, management science, operations research, engineering, and applied mathematics. It should also be useful to practitioners who want to learn more about Monte Carlo and quasi–Monte Carlo methods and researchers interested in an up-to-date guide to these methods.

Stochastic Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 3642882676
Total Pages : 189 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Stochastic Optimization by : Kurt Marti

Download or read book Stochastic Optimization written by Kurt Marti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes a selection of refereed papers presented at the GAMM/IFIP-Workshop on "Stochastic Optimization: Numerical Methods and Technical Applications", held at the Federal Armed Forces University Munich, May 29 - 31, 1990. The objective of this meeting was to bring together scientists from Stochastic Programming and from those Engineering areas, where Mathematical Programming models are common tools, as e. g. Optimal Structural Design, Power Dispatch, Acid Rain Management etc. The first, theoretical part includes the papers by S. D. Flam. H. Niederreiter, E. Poechinger and R. Schultz. The second part on methods and applications contains the articles by N. Baba, N. Grwe and W. Roemisch, J. Mayer, E. A. Mc Bean and A. Vasarhelyi.

Monte Carlo and Quasi-Monte Carlo Methods 2010

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Publisher : Springer Science & Business Media
ISBN 13 : 3642274404
Total Pages : 721 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods 2010 by : Leszek Plaskota

Download or read book Monte Carlo and Quasi-Monte Carlo Methods 2010 written by Leszek Plaskota and published by Springer Science & Business Media. This book was released on 2012-08-23 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.