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Perspectives on Enclosure Methods

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Cover of 'Perspectives on Enclosure Methods'

Table of Contents

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    Book Overview
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    Chapter 1 Proving Conjectures by Use of Interval Arithmetic
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    Chapter 2 Advanced Arithmetic for the Digital Computer — Interval Arithmetic Revisited
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    Chapter 3 Highly Accurate Verified Error Bounds for Krylov Type Linear System Solvers
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    Chapter 4 Elements of Scientific Computing
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    Chapter 5 The Mainstreaming of Interval Arithmetic
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    Chapter 6 Bounds for Eigenvalues with the Use of Finite Elements
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    Chapter 7 Algorithmic Differencing
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    Chapter 8 A Comparison of Techniques for Evaluating Centered Forms
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    Chapter 9 On the Limit of the Total Step Method in Interval Analysis
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    Chapter 10 How Fast can Moore’s Interval Integration Method Really be?
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    Chapter 11 Numerical Verification and Validation of Kinematics and Dynamical Models for Flexible Robots in Complex Environments
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    Chapter 12 On the Ubiquity of the Wrapping Effect in the Computation of Error Bounds
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    Chapter 13 A New Perspective on the Wrapping Effect in Interval Methods for Initial Value Problems for Ordinary Differential Equations
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    Chapter 14 A Guaranteed Bound of the Optimal Constant in the Error Estimates for Linear Triangular Elements
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    Chapter 15 Nonsmooth Global Optimization
Attention for Chapter 6: Bounds for Eigenvalues with the Use of Finite Elements
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