Overview
- Editors:
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R. Baker Kearfott
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University of Southwestern Louisiana, USA
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Vladik Kreinovich
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University of Texas at El Paso, USA
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Table of contents (15 chapters)
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Front Matter
Pages i-xvii
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- R. Baker Kearfott, Vladik Kreinovich
Pages 1-22
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- Götz Alefeld, Vladik Kreinovich, Günter Mayer
Pages 61-79
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- Sevgui Hadjihassan, Eric Walter, Luc Pronzato
Pages 91-131
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- Charles L. Fefferman, Luis A. Seco
Pages 145-167
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- Eero Hyvönen, Stefano De Pascale
Pages 169-209
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- Hung T. Nguyen, Vladik Kreinovich
Pages 245-290
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- Luis Mateus Rocha, Vladik Kreinovich, R. Baker Kearfott
Pages 337-380
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- Michael J. Schulte, Earl E. Swartzlander Jr.
Pages 381-404
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Back Matter
Pages 417-427
About this book
Primary Audience for the Book • Specialists in numerical computations who are interested in algorithms with automatic result verification. • Engineers, scientists, and practitioners who desire results with automatic verification and who would therefore benefit from the experience of suc cessful applications. • Students in applied mathematics and computer science who want to learn these methods. Goal Of the Book This book contains surveys of applications of interval computations, i. e. , appli cations of numerical methods with automatic result verification, that were pre sented at an international workshop on the subject in EI Paso, Texas, February 23-25, 1995. The purpose of this book is to disseminate detailed and surveyed information about existing and potential applications of this new growing field. Brief Description of the Papers At the most fundamental level, interval arithmetic operations work with sets: The result of a single arithmetic operation is the set of all possible results as the operands range over the domain. For example, [0. 9,1. 1] + [2. 9,3. 1] = [3. 8,4. 2], where [3. 8,4. 2] = {x + ylx E [0. 9,1. 1] and y E [3. 8,4. 2]}. The power of interval arithmetic comes from the fact that (i) the elementary operations and standard functions can be computed for intervals with formulas and subroutines; and (ii) directed roundings can be used, so that the images of these operations (e. g.
Editors and Affiliations
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University of Southwestern Louisiana, USA
R. Baker Kearfott
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University of Texas at El Paso, USA
Vladik Kreinovich
