Scientific Computing With Automatic Result Verification
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Scientific Computing With Automatic Result Verification
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Author : Adams
language : en
Publisher: Academic Press
Release Date : 1992-12-03
Scientific Computing With Automatic Result Verification written by Adams and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-12-03 with Computers categories.
Scientific Computing with Automatic Result Verification
Scientific Computation With Automatic Result Verification
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Author : Ulrich Kulisch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Scientific Computation With Automatic Result Verification written by Ulrich Kulisch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Scientific Computation with Result Verification has been a persevering research topic at the Institute for Applied Mathematics of Karlsruhe University for many years. A good number of meetings have been devoted to this area. The latest of these meetings was held from 30 September to 2 October, 1987, in Karlsruhe; it was co-sponsored by the GAMM Committee on "Computer Arithmetic and Scientific Computation". - - This volume combines edited versions of selected papers presented at this confer ence, including a few which were presented at a similar meeting one year earlier. The selection was made on the basis of relevance to the topic chosen for this volume. All papers are original contributions. In an appendix, we have supplied a short account of the Fortran-SC language which permits the programming of algorithms with result verification in a natural manner. The editors hope that the publication of this material as a Supplementum of Computing will further stimulate the interest of the scientific community in this important tool for Scientific Computation. In particular, we would like to make application scientists aware of its potential. The papers in the second chapter of this volume should convince them that automatic result verification may help them to design more reliable software for their particular tasks. We wish to thank all contributors for adapting their manuscripts to the goals of this volume. We are also grateful to the Publisher, Springer-Verlag of Vienna, for an efficient and quick production.
Scientific Computing And Validated Numerics
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Author : G. Alefeld
language : en
Publisher: De Gruyter Akademie Forschung
Release Date : 1996
Scientific Computing And Validated Numerics written by G. Alefeld and has been published by De Gruyter Akademie Forschung this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
The International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics SCAN is held biannually, the fourth conference took place in Wuppertal 1995. This volume contains contributions from outstanding research specialists based on their presentations at SCAN-95. It covers all aspects of scientific computing with validation, starting with the latest developments in the design of floating point units together with algorithms for floating point operations and elementary function evaluations with maximum accuracy. The book continues by treating scientific computing methods for many areas of applied mathematics such as numerical linear algebra, nonlinear equations, global optimization, ordinary and partial differential equations and dynamical systems. Some computer science aspects like complexity are also considered as are examples where validation methods have successfully be used in applications from the engineering sciences.
Applications Of Interval Computations
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Author : R. Baker Kearfott
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Applications Of Interval Computations written by R. Baker Kearfott and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
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.
Computer Arithmetic And Validity
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Author : Ulrich Kulisch
language : en
Publisher: Walter de Gruyter
Release Date : 2013-04-30
Computer Arithmetic And Validity written by Ulrich Kulisch and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-30 with Mathematics categories.
This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.
L Analyse Num Rique Et La Th Orie De L Approximation
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Author :
language : en
Publisher:
Release Date : 1998
L Analyse Num Rique Et La Th Orie De L Approximation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Approximation theory categories.
The International Conference On Application Specific Array Processors
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Author : Peter R. Cappello
language : en
Publisher:
Release Date : 1995
The International Conference On Application Specific Array Processors written by Peter R. Cappello and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computers categories.
Papers, invited talks, and poster sessions from the July 1995 conference address problems and solutions in the field of parallel array algorithms and architectures for special-purpose systems. Topics include scheduling and mapping techniques, design methodologies, array architectures, computer arith
Proceedings
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Author :
language : en
Publisher:
Release Date : 1995
Proceedings written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computer engineering categories.
Zeitschrift F R Angewandte Mathematik Und Mechanik
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Author :
language : en
Publisher:
Release Date : 1992
Zeitschrift F R Angewandte Mathematik Und Mechanik written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Engineering categories.
Interval Computations
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Author :
language : en
Publisher:
Release Date : 1993
Interval Computations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Interval analysis (Mathematics) categories.