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OverviewThis 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 avery efficent manner. the book also provides a fast track for readers wanting to move rapidly to using methods in practical calculations. It concludes with extensive numerical test which compare lattice methods with other methods, such as the Monte Carlo. Full Product DetailsAuthor: I. H. Sloan (, University of New South Wales) , S. Joe (, University of Waikato)Publisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 16.10cm , Height: 2.00cm , Length: 24.10cm Weight: 0.548kg ISBN: 9780198534723ISBN 10: 0198534728 Pages: 252 Publication Date: 13 October 1994 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsReviews`This nice book gives a thorough coverage of the numerical integration of high dimensional functions by means of lattice rules.....................I found the book very readable, and busy readers are well advised by the authors how to spend best their time with the book' Monatshefte fur Mathematik Vol. 124 1997 This nice book gives a thorough coverage of the numerical integration of high dimensional functions by means of lattice rules...I found the book very readable, and busy readers are well advised by the authors how to spend best their time with the book Monatshefte fur Mathematik Vol. 124 1997 I can recommend this book to everyone who wants or needs to know more about computing multivariate integrals. This book gives a very good overview of the current state-of-the-art lattice rules, and it is very readable. --Bulletin of the American Mathematical Society<br> This book is devoted to the numerical multiple integration based on lattice rules, generalizing the rectangle rule for an interval. --Mathematical Reviews<br> Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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