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Validation Numerics

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Cover of 'Validation Numerics'

Table of Contents

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    Book Overview
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    Chapter 1 On a Unified Concept of Mathematics
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    Chapter 2 A General Approach to a Class of Single-Step Methods for the Simultaneous Inclusion of Polynomial Zeros
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    Chapter 3 On Some Properties of an Interval Newton Type Method and its Modification
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    Chapter 4 Verified Solution of the Integral Equations for the Two-Dimensional Dirichlet and Neumann Problem
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    Chapter 5 Two-Stage Interval Iterative Methods
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    Chapter 6 Convergence Acceleration for Some Rootfinding Methods
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    Chapter 7 A Program for Enclosing Cumulative Binomial Probabilities
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    Chapter 8 Effective Evaluation of Hausdorff Distances for Finite Unions of Hyperrectangles
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    Chapter 9 A Verified Computation of Fourier-Representations of Solutions for Functional Equations
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    Chapter 10 The Cluster Problem in Global Optimization: the Univariate Case
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    Chapter 11 Developing Expert Systems for Validating Numerics
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    Chapter 12 Computation of Interval Bounds for Weierstrass’ Elliptic Function ℘( z )
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    Chapter 13 Solving Nonlinear Elliptic Problems with Result Verification Using an H -1 Type Residual Iteration
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    Chapter 14 The Wrapping Effect, Ellipsoid Arithmetic, Stability and Confidence Regions
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    Chapter 15 Validated Solution of Large Linear Systems
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    Chapter 16 The Interval Buneman Algorithm for Arbitrary Block Dimension
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    Chapter 17 On the Existence and the Verified Determination of Homoclinic and Heteroclinic Orbits of the Origin for the Lorenz Equations
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    Chapter 18 Verification in Computer Algebra Systems
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    Chapter 19 FORTRAN-XSC A Portable Fortran 90 Module Library for Accurate and Reliable Scientific Computing
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    Chapter 20 Implementation of Accurate Matrix Multiplication on the CM-2
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Citations

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Title
Validation Numerics
Published by
Springer Vienna, December 2012
DOI 10.1007/978-3-7091-6918-6
ISBNs
978-3-21-182451-1, 978-3-70-916918-6
Editors

Albrecht, R., Alefeld, G., Stetter, H. J.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 3 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 33%
Researcher 1 33%
Unknown 1 33%
Readers by discipline Count As %
Mathematics 1 33%
Computer Science 1 33%
Unknown 1 33%

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