# Computational Interval Methods For Engineering Applications

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## Scientific Computing Validated Numerics Interval Methods

Author | : Walter Krämer,Jürgen Wolff von Gudenberg |

Publsiher | : Springer Science & Business Media |

Total Pages | : 398 |

Release | : 2013-04-17 |

ISBN 10 | : 1475764847 |

ISBN 13 | : 9781475764840 |

Language | : EN, FR, DE, ES & NL |

**Scientific Computing Validated Numerics Interval Methods Book Review:**

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.

## Geometric Computations with Interval and New Robust Methods

Author | : H Ratschek,J Rokne |

Publsiher | : Elsevier |

Total Pages | : 336 |

Release | : 2003-12-01 |

ISBN 10 | : 0857099515 |

ISBN 13 | : 9780857099518 |

Language | : EN, FR, DE, ES & NL |

**Geometric Computations with Interval and New Robust Methods Book Review:**

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

## Computational Complexity and Feasibility of Data Processing and Interval Computations

Author | : V. Kreinovich,A.V. Lakeyev,J. Rohn,P.T. Kahl |

Publsiher | : Springer Science & Business Media |

Total Pages | : 459 |

Release | : 2013-06-29 |

ISBN 10 | : 1475727933 |

ISBN 13 | : 9781475727937 |

Language | : EN, FR, DE, ES & NL |

**Computational Complexity and Feasibility of Data Processing and Interval Computations Book Review:**

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.

## Computational Interval Methods for Engineering Applications

Author | : Snehashish Chakraverty,Nisha Rani Mahato |

Publsiher | : Academic Press |

Total Pages | : 220 |

Release | : 2020-11-01 |

ISBN 10 | : 0128178590 |

ISBN 13 | : 9780128178591 |

Language | : EN, FR, DE, ES & NL |

**Computational Interval Methods for Engineering Applications Book Review:**

Computational Interval Methods for Engineering Applications explains how to use classical and advanced interval arithmetic to solve differential equations for a wide range of scientific and engineering problems. In mathematical models where there are variables and parameters of uncertain value, interval methods can be used as an efficient tool for handling this uncertainty. In addition, it can produce rigorous enclosures of solutions of practical problems governed by mathematical equations. Other topics discussed in the book include linear differential equations in areas such as robotics, control theory, and structural dynamics, and in nonlinear oscillators, such as Duffing and Van der Pol. The chaotic behavior of the enclosure of oscillators is also covered, as are static and dynamic analysis of engineering problems using the interval system of linear equations and eigenvalue problems, thus making this a comprehensive resource. Explains how interval arithmetic can be used to solve problems in a range of engineering disciplines, including structural and control Gives unique, comprehensive coverage of traditional and innovative interval techniques, with examples addressing both linear and nonlinear differential equations Provides full mathematical details of the governing differential equations used to solve a wide range of problems

## Handbook of Granular Computing

Author | : Witold Pedrycz,Andrzej Skowron,Vladik Kreinovich |

Publsiher | : John Wiley & Sons |

Total Pages | : 1148 |

Release | : 2008-07-31 |

ISBN 10 | : 0470724153 |

ISBN 13 | : 9780470724156 |

Language | : EN, FR, DE, ES & NL |

**Handbook of Granular Computing Book Review:**

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

Author | : Ajith Abraham |

Publsiher | : Springer Science & Business Media |

Total Pages | : 255 |

Release | : 2007-05-02 |

ISBN 10 | : 3540710779 |

ISBN 13 | : 9783540710776 |

Language | : EN, FR, DE, ES & NL |

**Computational Intelligence in Information Assurance and Security Book Review:**

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.

## Engineering Applications of Neural Networks

Author | : Giacomo Boracchi,Lazaros Iliadis,Chrisina Jayne,Aristidis Likas |

Publsiher | : Springer |

Total Pages | : 737 |

Release | : 2017-07-30 |

ISBN 10 | : 3319651722 |

ISBN 13 | : 9783319651729 |

Language | : EN, FR, DE, ES & NL |

**Engineering Applications of Neural Networks Book Review:**

This book constitutes the refereed proceedings of the 18th International Conference on Engineering Applications of Neural Networks, EANN 2017, held in Athens, Greece, in August 2017. The 40 revised full papers and 5 revised short papers presented were carefully reviewed and selected from 83 submissions. The papers cover the topics of deep learning, convolutional neural networks, image processing, pattern recognition, recommendation systems, machine learning, and applications of Artificial Neural Networks (ANN) applications in engineering, 5G telecommunication networks, and audio signal processing. The volume also includes papers presented at the 6th Mining Humanistic Data Workshop (MHDW 2017) and the 2nd Workshop on 5G-Putting Intelligence to the Network Edge (5G-PINE).

## Computer Methods for Engineering with MATLAB Applications Second Edition

Author | : Yogesh Jaluria |

Publsiher | : CRC Press |

Total Pages | : 631 |

Release | : 2011-09-08 |

ISBN 10 | : 1591690366 |

ISBN 13 | : 9781591690368 |

Language | : EN, FR, DE, ES & NL |

**Computer Methods for Engineering with MATLAB Applications Second Edition Book Review:**

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.

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

Author | : Andrew Pownuk,Vladik Kreinovich |

Publsiher | : Springer |

Total Pages | : 202 |

Release | : 2018-05-03 |

ISBN 10 | : 3319910264 |

ISBN 13 | : 9783319910260 |

Language | : EN, FR, DE, ES & NL |

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

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.

## Soft Computing Approach for Mathematical Modeling of Engineering Problems

Author | : Ali Ahmadian,Soheil Salahshour |

Publsiher | : CRC Press |

Total Pages | : 222 |

Release | : 2021-09-03 |

ISBN 10 | : 1000432467 |

ISBN 13 | : 9781000432466 |

Language | : EN, FR, DE, ES & NL |

**Soft Computing Approach for Mathematical Modeling of Engineering Problems Book Review:**

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 methods to simulate the solution function’s behavior This book is intended for system specialists who are interested in dynamic systems that operate at different time scales. The book can be used by engineering students, researchers and professionals in control and finite element fields as well as all engineering, applied mathematics, economics and computer science interested in dynamic and uncertain systems. Ali Ahmadian is a Senior Lecturer at the Institute of IR 4.0, The National University of Malaysia. Soheil Salahshour is an associate professor at Bahcesehir University.

## Scientific Computing Computer Arithmetic and Validated Numerics

Author | : Marco Nehmeier,Jürgen Wolff von Gudenberg,Warwick Tucker |

Publsiher | : Springer |

Total Pages | : 291 |

Release | : 2016-04-08 |

ISBN 10 | : 3319317695 |

ISBN 13 | : 9783319317694 |

Language | : EN, FR, DE, ES & NL |

**Scientific Computing Computer Arithmetic and Validated Numerics Book Review:**

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.

## Computational Intelligence for Multimedia Big Data on the Cloud with Engineering Applications

Author | : Arun Kumar Sangaiah,Zhiyong Zhang,Michael Sheng |

Publsiher | : Academic Press |

Total Pages | : 362 |

Release | : 2018-08-21 |

ISBN 10 | : 0128133279 |

ISBN 13 | : 9780128133279 |

Language | : EN, FR, DE, ES & NL |

**Computational Intelligence for Multimedia Big Data on the Cloud with Engineering Applications Book Review:**

Computational Intelligence for Multimedia Big Data on the Cloud with Engineering Applications covers timely topics, including the neural network (NN), particle swarm optimization (PSO), evolutionary algorithm (GA), fuzzy sets (FS) and rough sets (RS), etc. Furthermore, the book highlights recent research on representative techniques to elaborate how a data-centric system formed a powerful platform for the processing of cloud hosted multimedia big data and how it could be analyzed, processed and characterized by CI. The book also provides a view on how techniques in CI can offer solutions in modeling, relationship pattern recognition, clustering and other problems in bioengineering. It is written for domain experts and developers who want to understand and explore the application of computational intelligence aspects (opportunities and challenges) for design and development of a data-centric system in the context of multimedia cloud, big data era and its related applications, such as smarter healthcare, homeland security, traffic control trading analysis and telecom, etc. Researchers and PhD students exploring the significance of data centric systems in the next paradigm of computing will find this book extremely useful. Presents a brief overview of computational intelligence paradigms and its significant role in application domains Illustrates the state-of-the-art and recent developments in the new theories and applications of CI approaches Familiarizes the reader with computational intelligence concepts and technologies that are successfully used in the implementation of cloud-centric multimedia services in massive data processing Provides new advances in the fields of CI for bio-engineering application

## Uncertainty Quantification and Predictive Computational Science

Author | : Ryan G. McClarren |

Publsiher | : Springer |

Total Pages | : 345 |

Release | : 2018-11-23 |

ISBN 10 | : 3319995251 |

ISBN 13 | : 9783319995250 |

Language | : EN, FR, DE, ES & NL |

**Uncertainty Quantification and Predictive Computational Science Book Review:**

This textbook teaches the essential background and skills for understanding and quantifying uncertainties in a computational simulation, and for predicting the behavior of a system under those uncertainties. It addresses a critical knowledge gap in the widespread adoption of simulation in high-consequence decision-making throughout the engineering and physical sciences. Constructing sophisticated techniques for prediction from basic building blocks, the book first reviews the fundamentals that underpin later topics of the book including probability, sampling, and Bayesian statistics. Part II focuses on applying Local Sensitivity Analysis to apportion uncertainty in the model outputs to sources of uncertainty in its inputs. Part III demonstrates techniques for quantifying the impact of parametric uncertainties on a problem, specifically how input uncertainties affect outputs. The final section covers techniques for applying uncertainty quantification to make predictions under uncertainty, including treatment of epistemic uncertainties. It presents the theory and practice of predicting the behavior of a system based on the aggregation of data from simulation, theory, and experiment. The text focuses on simulations based on the solution of systems of partial differential equations and includes in-depth coverage of Monte Carlo methods, basic design of computer experiments, as well as regularized statistical techniques. Code references, in python, appear throughout the text and online as executable code, enabling readers to perform the analysis under discussion. Worked examples from realistic, model problems help readers understand the mechanics of applying the methods. Each chapter ends with several assignable problems. Uncertainty Quantification and Predictive Computational Science fills the growing need for a classroom text for senior undergraduate and early-career graduate students in the engineering and physical sciences and supports independent study by researchers and professionals who must include uncertainty quantification and predictive science in the simulations they develop and/or perform.

## Fuzzy Logic with Engineering Applications

Author | : Timothy J. Ross |

Publsiher | : John Wiley & Sons |

Total Pages | : 650 |

Release | : 2005-04-08 |

ISBN 10 | : 0470860766 |

ISBN 13 | : 9780470860762 |

Language | : EN, FR, DE, ES & NL |

**Fuzzy Logic with Engineering Applications Book Review:**

## Numerical Validation in Current Hardware Architectures

Author | : Annie A.M. Cuyt,Walter Krämer,Wolfram Luther,Peter Markstein |

Publsiher | : Springer |

Total Pages | : 263 |

Release | : 2009-04-28 |

ISBN 10 | : 3642015913 |

ISBN 13 | : 9783642015915 |

Language | : EN, FR, DE, ES & NL |

**Numerical Validation in Current Hardware Architectures Book Review:**

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.

## Applications of Interval Computations

Author | : R. Baker Kearfott,V. Kreinovich |

Publsiher | : Springer Science & Business Media |

Total Pages | : 428 |

Release | : 2013-12-01 |

ISBN 10 | : 1461334403 |

ISBN 13 | : 9781461334408 |

Language | : EN, FR, DE, ES & NL |

**Applications of Interval Computations Book Review:**

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.

## Methods and Applications of Interval Analysis

Author | : Ramon E. Moore |

Publsiher | : SIAM |

Total Pages | : 190 |

Release | : 1979-01-01 |

ISBN 10 | : 9781611970906 |

ISBN 13 | : 1611970903 |

Language | : EN, FR, DE, ES & NL |

**Methods and Applications of Interval Analysis Book Review:**

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.

## Knowledge Processing with Interval and Soft Computing

Author | : Chenyi Hu,R. Baker Kearfott,Andre de Korvin,Vladik Kreinovich |

Publsiher | : Springer Science & Business Media |

Total Pages | : 233 |

Release | : 2009-04-03 |

ISBN 10 | : 1848003269 |

ISBN 13 | : 9781848003262 |

Language | : EN, FR, DE, ES & NL |

**Knowledge Processing with Interval and Soft Computing Book Review:**

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.

## Advances in Computation and Intelligence

Author | : Sanyou Zeng |

Publsiher | : Springer |

Total Pages | : 666 |

Release | : 2007-08-26 |

ISBN 10 | : 3540745815 |

ISBN 13 | : 9783540745815 |

Language | : EN, FR, DE, ES & NL |

**Advances in Computation and Intelligence Book Review:**

This book constitutes the refereed proceedings of the Second International Symposium on Intelligence Computation and Applications, ISICA 2007, held in Wuhan, China, in September 2007. The 71 revised full papers cover such topics as evolutionary computation, evolutionary learning, neural networks, swarms, pattern recognition, and data mining.

## Introduction to Interval Analysis

Author | : Ramon E. Moore,R. Baker Kearfott,Michael J. Cloud |

Publsiher | : SIAM |

Total Pages | : 223 |

Release | : 2009-04-16 |

ISBN 10 | : 0898716691 |

ISBN 13 | : 9780898716696 |

Language | : EN, FR, DE, ES & NL |

**Introduction to Interval Analysis Book Review:**

An introduction to interval analysis for scientists and engineers interested in scientific computation, especially using INTLAB/MATLAB®.