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Reliable Implementation of Real Number Algorithms: Theory and Practice [electronic resource] : International Seminar Dagstuhl Castle, Germany, January 8-13, 2006, Revised Papers / edited by Peter Hertling, Christoph M. Hoffmann, Wolfram Luther, Nathalie Revol.

Contributor(s): Hertling, Peter [editor.] | Hoffmann, Christoph M [editor.] | Luther, Wolfram [editor.] | Revol, Nathalie [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Theoretical Computer Science and General Issues: 5045Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008Edition: 1st ed. 2008.Description: XI, 239 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540855217.Subject(s): Computer arithmetic and logic units | Computer programming | Computer science | Algorithms | Computer science -- Mathematics | Discrete mathematics | Arithmetic and Logic Structures | Programming Techniques | Theory of Computation | Algorithms | Discrete Mathematics in Computer Science | Symbolic and Algebraic ManipulationAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 004.01513 Online resources: Click here to access online
Contents:
Validated Modeling of Mechanical Systems with SmartMOBILE: Improvement of Performance by ValEncIA-IVP -- Interval Subroutine Library Mission -- Convex Polyhedral Enclosures of Interval-Based Hierarchical Object Representations -- Real Algebraic Numbers: Complexity Analysis and Experimentation -- Verified Methods in Stochastic Traffic Modelling -- Interval Arithmetic Using SSE-2 -- Worst Cases for the Exponential Function in the IEEE 754r decimal64 Format -- Robustness and Randomness -- Topological Neighborhoods for Spline Curves: Practice & Theory -- Homotopy Conditions for Tolerant Geometric Queries -- Transfinite Interpolation for Well-Definition in Error Analysis in Solid Modelling -- Theory of Real Computation According to EGC.
In: Springer Nature eBookSummary: This book constitutes the revised papers of the International Seminar on Reliable Implementation of Real Number Algorithms, held at Dagstuhl Castle, Germany, in January 2006. The Seminar was inteded to stimulate an exchange of ideas between the different communities that deal with the problem of reliable implementation of real number algorithms. Topics included formal proofs, software libraries, systems and platforms, as well as computational geometry and solid modelling.
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Validated Modeling of Mechanical Systems with SmartMOBILE: Improvement of Performance by ValEncIA-IVP -- Interval Subroutine Library Mission -- Convex Polyhedral Enclosures of Interval-Based Hierarchical Object Representations -- Real Algebraic Numbers: Complexity Analysis and Experimentation -- Verified Methods in Stochastic Traffic Modelling -- Interval Arithmetic Using SSE-2 -- Worst Cases for the Exponential Function in the IEEE 754r decimal64 Format -- Robustness and Randomness -- Topological Neighborhoods for Spline Curves: Practice & Theory -- Homotopy Conditions for Tolerant Geometric Queries -- Transfinite Interpolation for Well-Definition in Error Analysis in Solid Modelling -- Theory of Real Computation According to EGC.

This book constitutes the revised papers of the International Seminar on Reliable Implementation of Real Number Algorithms, held at Dagstuhl Castle, Germany, in January 2006. The Seminar was inteded to stimulate an exchange of ideas between the different communities that deal with the problem of reliable implementation of real number algorithms. Topics included formal proofs, software libraries, systems and platforms, as well as computational geometry and solid modelling.

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