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Geometric Computations with Interval and New Robust Methods

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Release : 2003-12-15
Genre : Computers
Kind : eBook
Book Rating : 976/5 ( reviews)

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Book Synopsis Geometric Computations with Interval and New Robust Methods by : H Ratschek

Download or read book Geometric Computations with Interval and New Robust Methods written by H Ratschek. This book was released on 2003-12-15. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors. It also considers computations on geometric point-sets, which are neither robust nor reliable in processing with standard methods. The authors provide two effective tools for obtaining correct results: (a) interval arithmetic, and (b) ESSA the new powerful algorithm which improves many geometric computations and makes them rounding error free. Familiarises the reader with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations Provides two effective methods for obtaining correct results in interval arithmetic and ESSA

Geometric Computations with Interval and New Robust Methods

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Author :
Release : 2003-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 515/5 ( reviews)

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Book Synopsis Geometric Computations with Interval and New Robust Methods by : H Ratschek

Download or read book Geometric Computations with Interval and New Robust Methods written by H Ratschek. This book was released on 2003-12-01. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors. It also considers computations on geometric point-sets, which are neither robust nor reliable in processing with standard methods. The authors provide two effective tools for obtaining correct results: (a) interval arithmetic, and (b) ESSA the new powerful algorithm which improves many geometric computations and makes them rounding error free. - Familiarises the reader with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations - Provides two effective methods for obtaining correct results in interval arithmetic and ESSA

Numerical Validation in Current Hardware Architectures

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Release : 2009-04-24
Genre : Computers
Kind : eBook
Book Rating : 905/5 ( reviews)

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Book Synopsis Numerical Validation in Current Hardware Architectures by : Annie A.M. Cuyt

Download or read book Numerical Validation in Current Hardware Architectures written by Annie A.M. Cuyt. This book was released on 2009-04-24. Available in PDF, EPUB and Kindle. Book excerpt: The major emphasis of the Dagstuhl Seminar on “Numerical Validation in C- rent Hardware Architectures” lay on numerical validation in current hardware architecturesand softwareenvironments. The generalidea wasto bring together experts who are concerned with computer arithmetic in systems with actual processor architectures and scientists who develop, use, and need techniques from veri?ed computation in their applications. Topics of the seminar therefore included: – The ongoing revision of the IEEE 754/854 standard for ?oating-point ari- metic – Feasible ways to implement multiple precision (multiword) arithmetic and to compute the actual precision at run-time according to the needs of input data – The achievement of a similar behavior of ?xed-point, ?oating-point and - terval arithmetic across language compliant implementations – The design of robust and e?cient numerical programsportable from diverse computers to those that adhere to the IEEE standard – The development and propagation of validated special-purpose software in di?erent application areas – Error analysis in several contexts – Certi?cation of numerical programs, veri?cation and validation assessment Computer arithmetic plays an important role at the hardware and software level, when microprocessors, embedded systems, or grids are designed. The re- ability of numerical softwarestrongly depends on the compliance with the cor- sponding ?oating-point norms. Standard CISC processors follow the 1985 IEEE norm 754, which is currently under revision, but the new highly performing CELL processor is not fully IEEE compliant.

Efficient Algorithms

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Release : 2009-08-28
Genre : Computers
Kind : eBook
Book Rating : 551/5 ( reviews)

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Book Synopsis Efficient Algorithms by : Helmut Alt

Download or read book Efficient Algorithms written by Helmut Alt. This book was released on 2009-08-28. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume, published in honor of Kurt Mehlhorn on the occasion of his 60th birthday, contains 28 papers written by his former Ph.D. students and colleagues as well as by his former Ph.D. advisor, Bob Constable. The volume's title is a translation of the title of Kurt Mehlhorn's first book, "Effiziente Algorithmen", published by Teubner-Verlag in 1977. This Festschrift demonstrates how the field of algorithmics has developed and matured in the decades since then. The papers included in this volume are organized in topical sections on models of computation and complexity; sorting and searching; combinatorial optimization with applications; computational geometry and geometric graphs; and algorithm engineering, exactness and robustness.

Interval Analysis

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Release : 2017-04-10
Genre : Mathematics
Kind : eBook
Book Rating : 460/5 ( reviews)

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Book Synopsis Interval Analysis by : Günter Mayer

Download or read book Interval Analysis written by Günter Mayer. This book was released on 2017-04-10. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years. The author, an expert in the field, gently presents the theory of interval analysis through many examples and exercises, and guides the reader from the basics of the theory to current research topics in the mathematics of computation. Contents Preliminaries Real intervals Interval vectors, interval matrices Expressions, P-contraction, ε-inflation Linear systems of equations Nonlinear systems of equations Eigenvalue problems Automatic differentiation Complex intervals

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