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Author : Karl Nickel
Publisher :
ISBN 13 : 9783662179642
Total Pages : 248 pages
Book Rating : 4.1/5 (796 download)
Download or read book Interval Mathematics 1985 written by Karl Nickel and published by . This book was released on 2014-01-15 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karl Nickel
Publisher : Springer
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.3/5 (91 download)
Download or read book Interval Mathematics 1985 written by Karl Nickel and published by Springer. This book was released on 1986 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karl Nickel
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (756 download)
Download or read book Interval Mathematics 1985 written by Karl Nickel and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karl L. E. Nickel
Publisher :
ISBN 13 :
Total Pages : 227 pages
Book Rating : 4.:/5 (964 download)
Download or read book Interval Mathematics 1980 written by Karl L. E. Nickel and published by . This book was released on 1986 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Nickel
Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.:/5 (859 download)
Download or read book Interval Mathematics. Proceedings of the International Symposium written by K. Nickel and published by . This book was released on 1975 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Uwe Schöning
Publisher :
ISBN 13 : 9780387160788
Total Pages : 368 pages
Book Rating : 4.1/5 (67 download)
Download or read book Interval Mathematics 1985 written by Uwe Schöning and published by . This book was released on 1986 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Neumaier
Publisher : Cambridge University Press
ISBN 13 : 052133196X
Total Pages : 275 pages
Book Rating : 4.5/5 (213 download)
Download or read book Interval Methods for Systems of Equations written by A. Neumaier and published by Cambridge University Press. This book was released on 1990 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : Karl Nickel
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (634 download)
Download or read book Interval Mathematics written by Karl Nickel and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9780387164373
Total Pages : 0 pages
Book Rating : 4.1/5 (643 download)
Download or read book Interval Mathematics written by and published by . This book was released on 1986 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ramon E. Moore
Publisher : SIAM
ISBN 13 : 089871771X
Total Pages : 223 pages
Book Rating : 4.8/5 (987 download)
Download or read book Introduction to Interval Analysis written by Ramon E. Moore and published by SIAM. This book was released on 2009-01-01 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: An update on the author's previous books, this introduction to interval analysis provides an introduction to INTLAB, a high-quality, comprehensive MATLAB toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB.
Author : Günter Mayer
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110498057
Total Pages : 625 pages
Book Rating : 4.1/5 (14 download)
Download or read book Interval Analysis written by Günter Mayer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-04-10 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years. The author, an expert in the field, gently presents the theory of interval analysis through many examples and exercises, and guides the reader from the basics of the theory to current research topics in the mathematics of computation. Contents Preliminaries Real intervals Interval vectors, interval matrices Expressions, P-contraction, ε-inflation Linear systems of equations Nonlinear systems of equations Eigenvalue problems Automatic differentiation Complex intervals
Author : Karl L. E. Nickel
Publisher :
ISBN 13 :
Total Pages : 227 pages
Book Rating : 4.:/5 (964 download)
Download or read book Interval Mathematics 1980 written by Karl L. E. Nickel and published by . This book was released on 1986 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladik Kreinovich
Publisher : Springer Nature
ISBN 13 : 3031205693
Total Pages : 125 pages
Book Rating : 4.0/5 (312 download)
Download or read book From Intervals to –? written by Vladik Kreinovich and published by Springer Nature. This book was released on 2022-11-28 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about methodological aspects of uncertainty propagation in data processing. Uncertainty propagation is an important problem: while computer algorithms efficiently process data related to many aspects of their lives, most of these algorithms implicitly assume that the numbers they process are exact. In reality, these numbers come from measurements, and measurements are never 100% exact. Because of this, it makes no sense to translate 61 kg into pounds and get the result—as computers do—with 13 digit accuracy. In many cases—e.g., in celestial mechanics—the state of a system can be described by a few numbers: the values of the corresponding physical quantities. In such cases, for each of these quantities, we know (at least) the upper bound on the measurement error. This bound is either provided by the manufacturer of the measuring instrument—or is estimated by the user who calibrates this instrument. However, in many other cases, the description of the system is more complex than a few numbers: we need a function to describe a physical field (e.g., electromagnetic field); we need a vector in Hilbert space to describe a quantum state; we need a pseudo-Riemannian space to describe the physical space-time, etc. To describe and process uncertainty in all such cases, this book proposes a general methodology—a methodology that includes intervals as a particular case. The book is recommended to students and researchers interested in challenging aspects of uncertainty analysis and to practitioners who need to handle uncertainty in such unusual situations.
Author : Hend Dawood
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 3846501549
Total Pages : 128 pages
Book Rating : 4.8/5 (465 download)
Download or read book Theories of Interval Arithmetic written by Hend Dawood and published by LAP Lambert Academic Publishing. This book was released on 2011-10-07 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists are, all the time, in a struggle with uncertainty which is always a threat to a trustworthy scientific knowledge. A very simple and natural idea, to defeat uncertainty, is that of enclosing uncertain measured values in real closed intervals. On the basis of this idea, interval arithmetic is constructed. The idea of calculating with intervals is not completely new in mathematics: the concept has been known since Archimedes, who used guaranteed lower and upper bounds to compute his constant Pi. Interval arithmetic is now a broad field in which rigorous mathematics is associated with scientific computing. This connection makes it possible to solve uncertainty problems that cannot be efficiently solved by floating-point arithmetic. Today, application areas of interval methods include electrical engineering, control theory, remote sensing, experimental and computational physics, chaotic systems, celestial mechanics, signal processing, computer graphics, robotics, and computer-assisted proofs. The purpose of this book is to be a concise but informative introduction to the theories of interval arithmetic as well as to some of their computational and scientific applications. Editorial Reviews "This new book by Hend Dawood is a fresh introduction to some of the basics of interval computation. It stops short of discussing the more complicated subdivision methods for converging to ranges of values, however it provides a bit of perspective about complex interval arithmetic, constraint intervals, and modal intervals, and it does go into the design of hardware operations for interval arithmetic, which is something still to be done by computer manufacturers." - Ramon E. Moore, (The Founder of Interval Computations) Professor Emeritus of Computer and Information Science, Department of Mathematics, The Ohio State University, Columbus, U.S.A. "A popular math-oriented introduction to interval computations and its applications. This short book contains an explanation of the need for interval computations, a brief history of interval computations, and main interval computation techniques. It also provides an impressive list of main practical applications of interval techniques." - Vladik Kreinovich, (International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems) Professor of Computer Science, University of Texas at El Paso, El Paso, Texas, U.S.A. "I am delighted to see one more Egyptian citizen re-entering the field of interval mathematics invented in this very country thousands years ago." - Marek W. Gutowski, Institute of Physics, Polish Academy of Sciences, Warszawa, Poland
Author : Navid Razmjooy
Publisher : John Wiley & Sons
ISBN 13 : 1394190972
Total Pages : 212 pages
Book Rating : 4.3/5 (941 download)
Download or read book Interval Analysis written by Navid Razmjooy and published by John Wiley & Sons. This book was released on 2024-01-04 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interval Analysis An innovative and unique application of interval analysis to optimal control problems In Interval Analysis: Application in the Optimal Control Problems, celebrated researcher and engineer Dr. Navid Razmjooy delivers an expert discussion of the uncertainties in the analysis of optimal control problems. In the book, Dr. Razmjooy uses an open-ended approach to solving optimal control problems with indefinite intervals. Utilizing an extended, Runge-Kutta method, the author demonstrates how to accelerate its speed with the piecewise function. You’ll find recursive methods used to achieve more compact answers, as well as how to solve optimal control problems using the interval Chebyshev’s function. The book also contains: A thorough introduction to common errors and mistakes, generating uncertainties in physical models Comprehensive explorations of the literature on the subject, including Hukurara’s derivatives Practical discussions of the interval analysis and its variants, including the classical (Minkowski) methods Complete treatments of existing control methods, including classic, conventional advanced, and robust control. Perfect for master’s and PhD students working on system uncertainties, Interval Analysis: Application in the Optimal Control Problems will also benefit researchers working in laboratories, universities, and research centers.
Author : Iwona Skalna
Publisher : Springer
ISBN 13 : 3319751875
Total Pages : 211 pages
Book Rating : 4.3/5 (197 download)
Download or read book Parametric Interval Algebraic Systems written by Iwona Skalna and published by Springer. This book was released on 2018-02-09 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book presents a framework for solving a general class of linear systems with coefficients being continuous functions of parameters varying within prescribed intervals. It also provides a comprehensive overview of the theory related to solving parametric interval linear systems and the basic properties of parametric interval matrices. In particular, it develops several new algorithms delivering sharp rigorous bounds for the solutions of such systems with full mathematical rigor. The framework employs the arithmetic of revised affine forms that enables the readers to handle dependent data. The book is intended not only for researchers interested in developing rigorous methods of numerical linear algebra, but also for engineers dealing with problems involving uncertain data. The theory discussed is also useful in various other fields of numerical analysis, in computer graphics, economics, computational geometry, computer-aided design, computer-assisted proofs, computer graphics, control theory, solving constraint satisfaction problems, and global optimization.
Author : H Ratschek
Publisher : Elsevier
ISBN 13 : 0857099515
Total Pages : 337 pages
Book Rating : 4.8/5 (57 download)
Download or read book Geometric Computations with Interval and New Robust Methods written by H Ratschek and published by Elsevier. This book was released on 2003-12-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors. It also considers computations on geometric point-sets, which are neither robust nor reliable in processing with standard methods. The authors provide two effective tools for obtaining correct results: (a) interval arithmetic, and (b) ESSA the new powerful algorithm which improves many geometric computations and makes them rounding error free. Familiarises the reader with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations Provides two effective methods for obtaining correct results in interval arithmetic and ESSA
