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Perspectives on Enclosure Methods - Ulrich W. Kulisch

Perspectives on Enclosure Methods

By: Ulrich W. Kulisch (Editor), Rudolf Lohner (Editor), Axel Facius (Editor)

Paperback

Published: July 2001
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Enclosure methods and their applications have been developed to a high standard during the last decades. These methods guarantee the validity of the computed results. This means they are of the same standard as the rest of mathematics. The book deals with a wide variety of aspects of enclosure methods. All contributions follow the common goal to push the limits of enclosure methods forward. Topics that are treated include basic questions of arithmetic, proving conjectures, bounds for Krylow type linear system solvers, bounds for eigenvalues, the wrapping effect, algorithmic differencing, differential equations, finite element methods, application in robotics, and nonsmooth global optimization.

Proving Conjectures by Use of Interval Arithmeticp. 1
Advanced Arithmetic for the Digital Computer Interval Arithmetic Revisitedp. 15
Highly Accurate Verified Error Bounds for Krylov Type Linear System Solversp. 77
Elements of Scientific Computingp. 99
The Mainstreaming of Interval Arithmeticp. 105
Bounds for Eigenvalues with the Use of Finite Elementsp. 119
Algorithmic Differencingp. 133
A Comparison of Techniques for Evaluating Centered Formsp. 149
On the Limit of the Total Step Method in Interval Analysisp. 157
How Fast can Moore's Interval Integration Method Really be?p. 173
Numerical Verification and Validation of Kinematics and Dynamical Models for Flexible Robots in Complex Environmentsp. 181
On the Ubiquity of the Wrapping Effect in the Computation of Error Boundsp. 201
A New Perspective on the Wrapping Effect in Interval Methods for Initial Value Problems for Ordinary Differential Equationsp. 219
A Guaranteed Bound of the Optimal Constant in the Error Estimates for Linear Triangular Elementsp. 265
Nonsmooth Global Optimizationp. 277
Indexp. 341
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783211835906
ISBN-10: 3211835903
Audience: General
Format: Paperback
Language: English
Number Of Pages: 345
Published: July 2001
Publisher: SPRINGER VERLAG GMBH
Country of Publication: AT
Dimensions (cm): 24.41 x 16.99  x 1.96
Weight (kg): 0.59