Cover of: Applied Interval Analysis | Luc Jaulin

Applied Interval Analysis

With Examples in Parameter and State Estimation, Robust Control and Robotics
  • 379 Pages
  • 0.64 MB
  • 6718 Downloads
  • English
by
Springer London , London
Engineering, Computer science, Systems t
About the Edition

This book is about guaranteed numerical methods based on interval analysis for approximating sets, and about the application of these methods to vast classes of engineering problems. Guaranteed means here that inner and outer approximations of the sets of interest are obtained, which can be made as precise as desired, at the cost of increasing the computational effort. It thus becomes possible to achieve tasks still thought by many to be out of the reach of numerical methods, such as finding all solutions of sets of non-linear equations and inequality or all global optimizers of possibly multi-modal criteria. The basic methodology is explained as simply as possible, in a concrete and readily applicable way, with a large number of figures and illustrative examples. Some of the techniques reported appear in book format for the first time. The ability of the approach advocated here to solve non-trivial engineering problems is demonstrated through examples drawn from the fields of parameter and state estimation, robust control and robotics. Enough detail is provided to allow readers with other applications in mind to grasp their significance. An in-depth treatment of implementation issues facilitates the understanding and use of freely available software that makes interval computation about as easy as computation with floating-point numbers. The reader is even given the basic information needed to build his or her own C++ interval library.

Statementby Luc Jaulin, Michel Kieffer, Olivier Didrit, Éric Walter
ContributionsKieffer, Michel, Didrit, Olivier, Walter, Éric
Classifications
LC ClassificationsQ342
The Physical Object
Format[electronic resource] :
Pagination1 online resource (xvi, 379p. 125 illus.)
ID Numbers
Open LibraryOL27017601M
ISBN 101447110676, 1447102495
ISBN 139781447110675, 9781447102496
OCLC/WorldCa853266316

"Applied Interval Analysis is the right book at the right time to move computing with intervals into the mainstream of engineering, financial, and Applied Interval Analysis book computing." G.

William Walster, Interval Technology Engineering Manager, Sun Microsystems and Member of the Editorial Board of Reliable Computing. "Applied Interval Analysis is the right book at the right time to move computing with intervals into the mainstream of engineering, financial, and scientific computing." G.

William Walster, Interval Technology Engineering Manager, Sun Microsystems and Member of the Editorial Board of Reliable ComputingCited by: By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered.

This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered.

This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book.3/5(1). This unique book provides an introduction to a subject whose use has steadily increased over the past 40 years.

Details Applied Interval Analysis PDF

An update of Ramon Moore's previous books on the topic, it provides broad coverage of the subject as well as the historical perspective of one of the originators of modern interval analysis. From the reviews:"Applied Interval Analysis is the right book at the right time to move computing with intervals into the mainstream of engineering, financial, and.

Although written in English these results did not find much attention until the first book on interval analysis appeared which was written by Moore. Moore's book was the outgrowth of his Ph.D.

thesis [63] and therefore was mainly concentrated on bounding solutions of initial value problems for ordinary differential equations although it Cited by:   "Applied Interval Analysis is the right book at the right time to move computing with intervals into the mainstream of engineering, financial, and scientific computing." G.

William Walster, Interval Technology Engineering Manager, Sun Microsystems and Member of the Editorial Board of Reliable Computing. From the PublisherBrand: Luc Jaulin.

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Computational tests for machine convergence of iterative methods, existence and non-existence of solutions for a variety of equations are obtained via interval analysis.

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Applied interval analysis: with examples in parameter ans state estimation, robust control and robotics. [; et al] From the reviews:"Applied Interval Analysis is the right book at the right time to move computing with intervals into the mainstream of engineering.

Before using interval analysis as a basic tool in the following chapters, we shall now introduce its main concepts. Section recalls fundamental notions on set operators, set functions and set calculus. Section then presents basic notions of interval analysis.

Section is dedicated to the important notion of inclusion function. Applied Interval Analysis With Examples in Parameter and State Estimation, Robust Control and Robotics How is the Book Organized. 6 Part II. Tools 2. Interval Analysis 11 Introduction 11 Operations on Sets 11 Purely set-theoretic Operations 11 Extended Operations Now, 43 years after the publication of Moore's seminal book [1], the Society for Industrial and Applied Mathematics (SIAM) has chosen to release a small and well-written introduction to the subject, incorporating many new results and, even more importantly, providing an introduction to INTLAB, a freely available interval analysis programming.

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions. These theories are usually studied in the context of real and complex numbers and is evolved from calculus, which involves the elementary concepts and techniques of analysis.

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The authors describe the basic ideas underlying each concept, model, and approach to give readers a good grasp of the fundamentals of the. Books on Interval Computations. Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations by Mitsushiro Nakao, Yohitaka Watanabe, and Michael Plum, Springer Verlag, Singapore, ; Real Analysis: A Constructive Approach Through Interval Arithmetic by Mark Bridger, American Mathematical Society, ; Interval Analysis and.

Luc Jaulin, Michel Kieffer, Olivier Didrit, Eric Walter, "Applied Interval Analysis" | pages: | ISBN: | PDF | 16,4 mb This book is about guaranteed numerical methods based on interval analysis for approximating sets, and about the application of these methods to vast classes of engineering problems.

Guaranteed means here that inner and outer approximations. Bayesian analysis has developed rapidly in applications in the last two decades and research in Bayesian methods remains dynamic and fast-growing. Dramatic advances in modelling concepts and computational technologies now enable routine application of Bayesian analysis using increasingly realistic stochastic models, and this drives the adoption of.

A strength of the book, especially from an applied user’s point of view, is that the authors do not get lost in technical details. a useful hands-on guide for practitioners who want to familiarize themselves with the fundamentals of meta-analysis and get started without having to plough through theorems and proofs.".

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Description Applied Interval Analysis FB2

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Applied Interval Analysis: With Examples in Parameter and State Estimation, Robust Control and Robotics. Luc Jaulin, Michel Kieffer, Olivier Didrit and Éric WalterSpringerLondonxvi + hardback, with CD ROM £ The term "Interval Analysis" denotes a general and distinctive approach to numerical Cited by: 1.

Interval arithmetic, interval mathematics, interval analysis, or interval computation, is a method developed by mathematicians since the s and s, as an approach to putting bounds on rounding errors and measurement errors in mathematical computation and thus developing numerical methods that yield reliable results.

Very simply put, it represents each value as a .Table on page using the whas data in a multivariate model. stcox age hr diasbp bmi gender afb chf miord mitype, nolog nohr failure _d: fstat analysis time _t: time Cox regression -- Breslow method for ties No. of subjects = Number of obs = No.

of failures = Time at risk = LR chi2(9) = Log likelihood = Prob > chi2 = .book and the analytic process we describe.

We call this process Applied Thematic Analysis (ATA). Briefly put, ATA is a type of inductive analysis of qualitative data that can involve multiple analytic techniques.

Below, we situate ATA within the qualitative data analysis literature to help both frame the process and provideFile Size: KB.