Scientific Computing  Validated Numerics  Interval Methods Book

Scientific Computing Validated Numerics Interval Methods


  • Author : Walter Krämer
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-17
  • Genre: Computers
  • Pages : 398
  • ISBN 10 : 9781475764840

DOWNLOAD BOOK
Scientific Computing Validated Numerics Interval Methods Excerpt :

Scan 2000, the GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics and Interval 2000, the International Conference on Interval Methods in Science and Engineering were jointly held in Karlsruhe, September 19-22, 2000. The joint conference continued the series of 7 previous Scan-symposia under the joint sponsorship of GAMM and IMACS. These conferences have traditionally covered the numerical and algorithmic aspects of scientific computing, with a strong emphasis on validation and verification of computed results as well as on arithmetic, programming, and algorithmic tools for this purpose. The conference further continued the series of 4 former Interval conferences focusing on interval methods and their application in science and engineering. The objectives are to propagate current applications and research as well as to promote a greater understanding and increased awareness of the subject matters. The symposium was held in Karlsruhe the European cradle of interval arithmetic and self-validating numerics and attracted 193 researchers from 33 countries. 12 invited and 153 contributed talks were given. But not only the quantity was overwhelming we were deeply impressed by the emerging maturity of our discipline. There were many talks discussing a wide variety of serious applications stretching all parts of mathematical modelling. New efficient, publicly available or even commercial tools were proposed or presented, and also foundations of the theory of intervals and reliable computations were considerably strengthened.

Computational Complexity and Feasibility of Data Processing and Interval Computations Book

Computational Complexity and Feasibility of Data Processing and Interval Computations


  • Author : V. Kreinovich
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Genre: Mathematics
  • Pages : 459
  • ISBN 10 : 9781475727937

DOWNLOAD BOOK
Computational Complexity and Feasibility of Data Processing and Interval Computations Excerpt :

Targeted audience • Specialists in numerical computations, especially in numerical optimiza tion, who are interested in designing algorithms with automatie result ver ification, and who would therefore be interested in knowing how general their algorithms caIi in principle be. • Mathematicians and computer scientists who are interested in the theory 0/ computing and computational complexity, especially computational com plexity of numerical computations. • Students in applied mathematics and computer science who are interested in computational complexity of different numerical methods and in learning general techniques for estimating this computational complexity. The book is written with all explanations and definitions added, so that it can be used as a graduate level textbook. What this book .is about Data processing. In many real-life situations, we are interested in the value of a physical quantity y that is diflicult (or even impossible) to measure directly. For example, it is impossible to directly measure the amount of oil in an oil field or a distance to a star. Since we cannot measure such quantities directly, we measure them indirectly, by measuring some other quantities Xi and using the known relation between y and Xi'S to reconstruct y. The algorithm that transforms the results Xi of measuring Xi into an estimate fj for y is called data processing.

Handbook of Granular Computing Book

Handbook of Granular Computing


  • Author : Witold Pedrycz
  • Publisher : John Wiley & Sons
  • Release Date : 2008-07-31
  • Genre: Technology & Engineering
  • Pages : 1148
  • ISBN 10 : 9780470724156

DOWNLOAD BOOK
Handbook of Granular Computing Excerpt :

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.

Computational Intelligence in Information Assurance and Security Book

Computational Intelligence in Information Assurance and Security


  • Author : Ajith Abraham
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-05-02
  • Genre: Mathematics
  • Pages : 269
  • ISBN 10 : 9783540710776

DOWNLOAD BOOK
Computational Intelligence in Information Assurance and Security Excerpt :

This volume provides the academic and industrial community with a medium for presenting original research and applications related to information assurance and security using computational intelligence techniques. It details current research on information assurance and security regarding both the theoretical and methodological aspects, as well as various applications in solving real world problems using computational intelligence.

Soft Computing Approach for Mathematical Modeling of Engineering Problems Book

Soft Computing Approach for Mathematical Modeling of Engineering Problems


  • Author : Ali Ahmadian
  • Publisher : CRC Press
  • Release Date : 2021-09-02
  • Genre: Computers
  • Pages : 160
  • ISBN 10 : 9781000432466

DOWNLOAD BOOK
Soft Computing Approach for Mathematical Modeling of Engineering Problems Excerpt :

This book describes different mathematical modeling and soft computing techniques used to solve practical engineering problems. It gives an overview of the current state of soft computing techniques and describes the advantages and disadvantages of soft computing compared to traditional hard computing techniques. Through examples and case studies, the editors demonstrate and describe how problems with inherent uncertainty can be addressed and eventually solved through the aid of numerical models and methods. The chapters address several applications and examples in bioengineering science, drug delivery, solving inventory issues, Industry 4.0, augmented reality and weather forecasting. Other examples include solving fuzzy-shortest-path problems by introducing a new distance and ranking functions. Because, in practice, problems arise with uncertain data and most of them cannot be solved exactly and easily, the main objective is to develop models that deliver solutions with the aid of numerical methods. This is the reason behind investigating soft numerical computing in dynamic systems. Having this in mind, the authors and editors have considered error of approximation and have discussed several common types of errors and their propagations. Moreover, they have explained the numerical methods, along with convergence and consistence properties and characteristics, as the main objectives behind this book involve considering, discussing and proving related theorems within the setting of soft computing. This book examines dynamic models, and how time is fundamental to the structure of the model and data as well as the understanding of how a process unfolds • Discusses mathematical modeling with soft computing and the implementations of uncertain mathematical models • Examines how uncertain dynamic systems models include uncertain state, uncertain state space and uncertain state’s transition functions • Assists readers to become familiar with many soft numerical met

Computing Statistics under Interval and Fuzzy Uncertainty Book

Computing Statistics under Interval and Fuzzy Uncertainty


  • Author : Hung T. Nguyen
  • Publisher : Springer
  • Release Date : 2011-11-17
  • Genre: Technology & Engineering
  • Pages : 432
  • ISBN 10 : 9783642249051

DOWNLOAD BOOK
Computing Statistics under Interval and Fuzzy Uncertainty Excerpt :

In many practical situations, we are interested in statistics characterizing a population of objects: e.g. in the mean height of people from a certain area. Most algorithms for estimating such statistics assume that the sample values are exact. In practice, sample values come from measurements, and measurements are never absolutely accurate. Sometimes, we know the exact probability distribution of the measurement inaccuracy, but often, we only know the upper bound on this inaccuracy. In this case, we have interval uncertainty: e.g. if the measured value is 1.0, and inaccuracy is bounded by 0.1, then the actual (unknown) value of the quantity can be anywhere between 1.0 - 0.1 = 0.9 and 1.0 + 0.1 = 1.1. In other cases, the values are expert estimates, and we only have fuzzy information about the estimation inaccuracy. This book shows how to compute statistics under such interval and fuzzy uncertainty. The resulting methods are applied to computer science (optimal scheduling of different processors), to information technology (maintaining privacy), to computer engineering (design of computer chips), and to data processing in geosciences, radar imaging, and structural mechanics.

Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems Book
Score: 5
From 1 Ratings

Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems


  • Author : Chakraverty, S.
  • Publisher : IGI Global
  • Release Date : 2014-01-31
  • Genre: Mathematics
  • Pages : 441
  • ISBN 10 : 9781466649927

DOWNLOAD BOOK
Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems Excerpt :

"This book provides the reader with basic concepts for soft computing and other methods for various means of uncertainty in handling solutions, analysis, and applications"--Provided by publisher.

Computer Methods for Engineering with MATLAB   Applications  Second Edition Book

Computer Methods for Engineering with MATLAB Applications Second Edition


  • Author : Yogesh Jaluria
  • Publisher : CRC Press
  • Release Date : 2011-09-08
  • Genre: Technology & Engineering
  • Pages : 635
  • ISBN 10 : 9781591690368

DOWNLOAD BOOK
Computer Methods for Engineering with MATLAB Applications Second Edition Excerpt :

Substantially revised and updated, Computer Methods for Engineering with MATLAB® Applications, Second Edition presents equations to describe engineering processes and systems. It includes computer methods for solving these equations and discusses the nature and validity of the numerical results for a variety of engineering problems. This edition now uses MATLAB in its discussions of computer solution. New to the Second Edition Recent advances in computational software and hardware A large number of MATLAB commands and programs for solving exercises and to encourage students to develop their own computer programs for specific problems Additional exercises and examples in all chapters New and updated references The text follows a systematic approach for obtaining physically realistic, valid, and accurate results through numerical modeling. It employs examples from many engineering areas to explain the elements involved in the numerical solution and make the presentation relevant and interesting. It also incorporates a wealth of solved exercises to supplement the discussion and illustrate the ideas and methods presented. The book shows how a computational approach can provide physical insight and obtain inputs for the analysis and design of practical engineering systems.

Geometric Computations with Interval and New Robust Methods Book

Geometric Computations with Interval and New Robust Methods


  • Author : H Ratschek
  • Publisher : Elsevier
  • Release Date : 2003-12-01
  • Genre: Mathematics
  • Pages : 336
  • ISBN 10 : 9780857099518

DOWNLOAD BOOK
Geometric Computations with Interval and New Robust Methods 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

Methods and Applications of Interval Analysis Book

Methods and Applications of Interval Analysis


  • Author : Ramon E. Moore
  • Publisher : SIAM
  • Release Date : 1979-01-01
  • Genre: Mathematics
  • Pages : 190
  • ISBN 10 : 1611970903

DOWNLOAD BOOK
Methods and Applications of Interval Analysis Excerpt :

This book treats an important set of techniques that provide a mathematically rigorous and complete error analysis for computational results. It shows that interval analysis provides a powerful set of tools with direct applicability to important problems in scientific computing.

Applications of Interval Computations Book

Applications of Interval Computations


  • Author : R. Baker Kearfott
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-12-01
  • Genre: Mathematics
  • Pages : 428
  • ISBN 10 : 9781461334408

DOWNLOAD BOOK
Applications of Interval Computations Excerpt :

Primary Audience for the Book • Specialists in numerical computations who are interested in algorithms with automatic result verification. • Engineers, scientists, and practitioners who desire results with automatic verification and who would therefore benefit from the experience of suc cessful applications. • Students in applied mathematics and computer science who want to learn these methods. Goal Of the Book This book contains surveys of applications of interval computations, i. e. , appli cations of numerical methods with automatic result verification, that were pre sented at an international workshop on the subject in EI Paso, Texas, February 23-25, 1995. The purpose of this book is to disseminate detailed and surveyed information about existing and potential applications of this new growing field. Brief Description of the Papers At the most fundamental level, interval arithmetic operations work with sets: The result of a single arithmetic operation is the set of all possible results as the operands range over the domain. For example, [0. 9,1. 1] + [2. 9,3. 1] = [3. 8,4. 2], where [3. 8,4. 2] = {x + ylx E [0. 9,1. 1] and y E [3. 8,4. 2]}. The power of interval arithmetic comes from the fact that (i) the elementary operations and standard functions can be computed for intervals with formulas and subroutines; and (ii) directed roundings can be used, so that the images of these operations (e. g.

Scientific Computing  Computer Arithmetic  and Validated Numerics Book

Scientific Computing Computer Arithmetic and Validated Numerics


  • Author : Marco Nehmeier
  • Publisher : Springer
  • Release Date : 2016-04-08
  • Genre: Computers
  • Pages : 291
  • ISBN 10 : 9783319317694

DOWNLOAD BOOK
Scientific Computing Computer Arithmetic and Validated Numerics Excerpt :

This book constitutes the refereed post proceedings of the 16th International Symposium, SCAN 2014, held in Würzburg, Germany, in September 2014. The 22 full papers presented were carefully reviewed and selected from 60 submissions. The main concerns of research addressed by SCAN conferences are validation, verification or reliable assertions of numerical computations. Interval arithmetic and other treatments of uncertainty are developed as appropriate tools.

Combining Interval  Probabilistic  and Other Types of Uncertainty in Engineering Applications Book

Combining Interval Probabilistic and Other Types of Uncertainty in Engineering Applications


  • Author : Andrew Pownuk
  • Publisher : Springer
  • Release Date : 2018-05-03
  • Genre: Technology & Engineering
  • Pages : 202
  • ISBN 10 : 9783319910260

DOWNLOAD BOOK
Combining Interval Probabilistic and Other Types of Uncertainty in Engineering Applications Excerpt :

How can we solve engineering problems while taking into account data characterized by different types of measurement and estimation uncertainty: interval, probabilistic, fuzzy, etc.? This book provides a theoretical basis for arriving at such solutions, as well as case studies demonstrating how these theoretical ideas can be translated into practical applications in the geosciences, pavement engineering, etc. In all these developments, the authors’ objectives were to provide accurate estimates of the resulting uncertainty; to offer solutions that require reasonably short computation times; to offer content that is accessible for engineers; and to be sufficiently general - so that readers can use the book for many different problems. The authors also describe how to make decisions under different types of uncertainty. The book offers a valuable resource for all practical engineers interested in better ways of gauging uncertainty, for students eager to learn and apply the new techniques, and for researchers interested in processing heterogeneous uncertainty.

Knowledge Processing with Interval and Soft Computing Book

Knowledge Processing with Interval and Soft Computing


  • Author : Chenyi Hu
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-04-03
  • Genre: Computers
  • Pages : 233
  • ISBN 10 : 9781848003262

DOWNLOAD BOOK
Knowledge Processing with Interval and Soft Computing Excerpt :

Interval computing combined with fuzzy logic has become an emerging tool in studying artificial intelligence and knowledge processing (AIKP) applications since it models uncertainties frequently raised in the field. This book provides introductions for both interval and fuzzy computing in a very accessible style. Application algorithms covered in this book include quantitative and qualitative data mining with interval valued datasets, decision making systems with interval valued parameters, interval valued Nash games and interval weighted graphs. Successful applications in studying finance and economics, etc are also included. This book can serve as a handbook or a text for readers interested in applying interval and soft computing for AIKP.

Numerical Validation in Current Hardware Architectures Book

Numerical Validation in Current Hardware Architectures


  • Author : Annie A.M. Cuyt
  • Publisher : Springer
  • Release Date : 2009-04-28
  • Genre: Computers
  • Pages : 263
  • ISBN 10 : 9783642015915

DOWNLOAD BOOK
Numerical Validation in Current Hardware Architectures Excerpt :

This book constitutes the thoroughly refereed post-proceedings of the Dagstuhl Seminar 08021 on Numerical Validation in Current Hardware Architectures held at Dagstuhl Castle, Germany, in January 2008. The 16 revised full papers presented were selected during two rounds of reviewing and improvements. The papers are organized in topical sections on languages, software systems and tools, new verification techniques based on interval arithmetic, applications in science and engineering, and novel approaches to verification.