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Scientific Computing, Computer Arithmetic, and Validated Numerics

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Cover of 'Scientific Computing, Computer Arithmetic, and Validated Numerics'

Table of Contents

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    Book Overview
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    Chapter 1 Hausdorff Continuous Interval Functions and Approximations
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    Chapter 2 Replacing Branches by Polynomials in Vectorizable Elementary Functions
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    Chapter 3 The Forthcoming IEEE Standard 1788 for Interval Arithmetic
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    Chapter 4 Numerical Probabilistic Approach for Optimization Problems
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    Chapter 5 Towards the Possibility of Objective Interval Uncertainty
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    Chapter 6 How Much for an Interval? a Set? a Twin Set? a p-Box? A Kaucher Interval? Towards an Economics-Motivated Approach to Decision Making Under Uncertainty
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    Chapter 7 Sliding Mode Approaches Considering Uncertainty for Reliable Control and Computation of Confidence Regions in State and Parameter Estimation
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    Chapter 8 Scientific Computing, Computer Arithmetic, and Validated Numerics
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    Chapter 9 Tight Bounds on the Radius of Nonsingularity
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    Chapter 10 Optimal Preconditioning for the Interval Parametric Gauss–Seidel Method
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    Chapter 11 Reproducible and Accurate Matrix Multiplication
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    Chapter 12 Outer Bounds for the Parametric Controllable Solution Set with Linear Shape
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    Chapter 13 Reserve of Characteristic Inclusion as Recognizing Functional for Interval Linear Systems
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    Chapter 14 Convergence and Inclusion Isotonicity of the Tensorial Rational Bernstein Form
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    Chapter 15 The Bernstein Branch-and-Bound Unconstrained Global Optimization Algorithm for MINLP Problems
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    Chapter 16 Interval Regularization Approach to the Firordt Method of the Spectrophotometric Analysis of the Non-separated Mixtures
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    Chapter 17 Computing Capture Tubes
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    Chapter 18 Some Remarks on the Rigorous Estimation of Inverse Linear Elliptic Operators
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    Chapter 19 Verified Parameter Identification for Dynamic Systems with Non-Smooth Right-Hand Sides
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    Chapter 20 Exponential Enclosure Techniques for Initial Value Problems with Multiple Conjugate Complex Eigenvalues
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    Chapter 21 Curve Veering for the Parameter-dependent Clamped Plate
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    Chapter 22 Numerical Verification for Elliptic Boundary Value Problem with Nonconforming $$\mathcal {P}_1$$ P 1 Finite Elements
Overall attention for this book and its chapters
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Citations

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Title
Scientific Computing, Computer Arithmetic, and Validated Numerics
Published by
Springer International Publishing, April 2016
DOI 10.1007/978-3-319-31769-4
ISBNs
978-3-31-931768-7, 978-3-31-931769-4
Editors

Nehmeier, Marco, Wolff von Gudenberg, Jürgen, Tucker, Warwick

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Unknown 2 100%
Readers by discipline Count As %
Medicine and Dentistry 1 50%
Unknown 1 50%

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