Lectures on Finite Precision Computations PDF Download

Author: Francoise Chaitin-Chatelin
Publisher: SIAM
ISBN: 0898713587
Category : Mathematics
Languages : en
Pages : 244

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Mathematics of Computing -- Numerical Analysis.

Author: C. Brezinski
Publisher: Elsevier
ISBN: 0080506224
Category : Computers
Languages : en
Pages : 475

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Book Description
This volume is a self-contained, exhaustive exposition of the extrapolation methods theory, and of the various algorithms and procedures for accelerating the convergence of scalar and vector sequences. Many subroutines (written in FORTRAN 77) with instructions for their use are provided on a floppy disk in order to demonstrate to those working with sequences the advantages of the use of extrapolation methods. Many numerical examples showing the effectiveness of the procedures and a consequent chapter on applications are also provided – including some never before published results and applications. Although intended for researchers in the field, and for those using extrapolation methods for solving particular problems, this volume also provides a valuable resource for graduate courses on the subject.

Author: Witold Pedrycz
Publisher: John Wiley & Sons
ISBN: 0470724153
Category : Technology & Engineering
Languages : en
Pages : 1148

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Book Description
Although the notion is a relatively recent one, the notions and principles of Granular Computing (GrC) have appeared in a different guise in many related fields including granularity in Artificial Intelligence, interval computing, cluster analysis, quotient space theory and many others. Recent years have witnessed a renewed and expanding interest in the topic as it begins to play a key role in bioinformatics, e-commerce, machine learning, security, data mining and wireless mobile computing when it comes to the issues of effectiveness, robustness and uncertainty. The Handbook of Granular Computing offers a comprehensive reference source for the granular computing community, edited by and with contributions from leading experts in the field. Includes chapters covering the foundations of granular computing, interval analysis and fuzzy set theory; hybrid methods and models of granular computing; and applications and case studies. Divided into 5 sections: Preliminaries, Fundamentals, Methodology and Algorithms, Development of Hybrid Models and Applications and Case Studies. Presents the flow of ideas in a systematic, well-organized manner, starting with the concepts and motivation and proceeding to detailed design that materializes in specific algorithms, applications and case studies. Provides the reader with a self-contained reference that includes all pre-requisite knowledge, augmented with step-by-step explanations of more advanced concepts. The Handbook of Granular Computing represents a significant and valuable contribution to the literature and will appeal to a broad audience including researchers, students and practitioners in the fields of Computational Intelligence, pattern recognition, fuzzy sets and neural networks, system modelling, operations research and bioinformatics.

Author:
Publisher:
ISBN:
Category : Electric filters, Digital
Languages : en
Pages : 478

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Author: Eric Walter
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 440

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Book Description
The presentation of a coherent methodology for the estimation of the parameters of mathematical models from experimental data is examined in this volume. Many topics are covered including the choice of the structure of the mathematical model, the choice of a performance criterion to compare models, the optimization of this performance criterion, the evaluation of the uncertainty in the estimated parameters, the design of experiments so as to get the most relevant data and the critical analysis of results. There are also several features unique to the work such as an up-to-date presentation of the methodology for testing models for identifiability and distinguishability and a comprehensive treatment of parametric optimization which includes greater consider ation of numerical aspects and which examines recursive and non-recursive methods for linear and nonlinear models.

Author: Institut français du pétrole
Publisher:
ISBN:
Category : Liquid fuels
Languages : en
Pages : 464

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Author:
Publisher:
ISBN:
Category : Electronic traffic controls
Languages : en
Pages : 544

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Author: Michèle Pichat
Publisher: Editions TECHNIP
ISBN: 9782710806530
Category : Automatic control
Languages : fr
Pages : 260

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Les auteurs, professeurs des universités, présentent dans cet ouvrage les méthodes et les outils utilisés pour contrôler la précision des calculs en arithmétique à virgule flottante. Les méthodes déterministes sont exposées : analyse a posteriori des erreurs, arithmétique d’intervalles et extension de l’arithmétique à virgule flottante avec introduction de nouvelles opérations (dont le produit scalaire de précision maximale). La méthode CESTAC (Contrôle et Estimation STochastique des Arrondis de Calculs), basée sur une approche stochastique, est développée en détail. Cette méthode assure une estimation non pessimiste du nombre de chiffres significatifs de tout résultat calculé en arithmétique à virgule flottante et permet de détecter les anomalies numériques en cours d’exécution des programmes. De nombreux exemples illustrent la mise en œuvre de la méthode. Table des matières : 1. Rappels sur l’arithmétique des ordinateurs. 2. Analyse a posteriori de l’erreur. 3. Extensions de l’arithmétique à virgule flottante. 4. Approche stochastique de l’analyse des erreurs d’arrondi. 5. Utilisation de la méthode CESTAC dans les programmes de calcul scientifique. 6. Méthodes de réduction de l’erreur d’arrondi. Annexe : logiciel de la méthode CESTAC. Index.

Author:
Publisher:
ISBN:
Category : Trademarks
Languages : en
Pages : 910

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Author: Centre d'études de recherche opérationnelle (Brussels, Belgium)
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 490

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