# Computational Interval Methods for Engineering Applications

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## 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

## Computational Methods in Engineering

Author | : S.P. Venkateshan,Prasanna Swaminathan |

Publsiher | : Elsevier |

Total Pages | : 692 |

Release | : 2013-12-09 |

ISBN 10 | : 0124167039 |

ISBN 13 | : 9780124167032 |

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

**Computational Methods in Engineering Book Review:**

Computational Methods in Engineering brings to light the numerous uses of numerical methods in engineering. It clearly explains the application of these methods mathematically and practically, emphasizing programming aspects when appropriate. By approaching the cross-disciplinary topic of numerical methods with a flexible approach, Computational Methods in Engineering encourages a well-rounded understanding of the subject. This book's teaching goes beyond the text—detailed exercises (with solutions), real examples of numerical methods in real engineering practices, flowcharts, and MATLAB codes all help you learn the methods directly in the medium that suits you best. Balanced discussion of mathematical principles and engineering applications Detailed step-by-step exercises and practical engineering examples to help engineering students and other readers fully grasp the concepts Concepts are explained through flowcharts and simple MATLAB codes to help you develop additional programming skills

## Numerical Methods for Engineering Applications

Author | : Joel H. Ferziger |

Publsiher | : Wiley-Interscience |

Total Pages | : 378 |

Release | : 1998-04-17 |

ISBN 10 | : |

ISBN 13 | : STANFORD:36105020141540 |

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

**Numerical Methods for Engineering Applications Book Review:**

State-of-the-art numerical methods for solving complex engineering problems Great strides in computer technology have been made in the years since the popular first edition of this book was published. Several excellent software packages now help engineers solve complex problems. Making the most of these programs requires a working knowledge of the numerical methods on which the programs are based. Numerical Methods for Engineering Application provides that knowledge. While it avoids intense mathematical detail, Numerical Methods for Engineering Application supplies more in-depth explanations of methods than found in the typical engineer's numerical "cookbook." It offers complete coverage of most commonly encountered algebraic, interpolation, and integration problems. Ordinary differential equations are examined in great detail, as are three common types of partial differential equations--parabolic, elliptic, and hyperbolic. The author also explores a wide range of methods for solving initial and boundary value problems. This complete guide to numerical methods for solving engineering problems on computers provides: * Practical advice on how to select the best method for a given problem * Valuable insights into how each method works and why it is the best choice * Complete algorithms and source code for all programs covered * Code from the book and problem-solving programs designed by the author available from the author's website Numerical Methods for Engineering Application is a valuable working resource for engineers and applied physicists. It also serves as an excellent upper-level text for physics and engineering students in courses on modern numerical methods.

## Computational Methods in Engineering and Science

Author | : Shoichiro Nakamura |

Publsiher | : Unknown |

Total Pages | : 457 |

Release | : 1977 |

ISBN 10 | : |

ISBN 13 | : UCSD:31822011719523 |

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

**Computational Methods in Engineering and Science Book Review:**

## Complex Interval Arithmetic and Its Applications

Author | : Miodrag Petkovic,Miodrag Petković,Miodrag S. Petkovic,Ljiljana D. Petkovic |

Publsiher | : John Wiley & Sons |

Total Pages | : 284 |

Release | : 1998 |

ISBN 10 | : 9783527401345 |

ISBN 13 | : 3527401342 |

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

**Complex Interval Arithmetic and Its Applications Book Review:**

The aim of this book is to present formulas and methods developed using complex interval arithmetic. While most of numerical methods described in the literature deal with real intervals and real vectors, there is no systematic study of methods in complex interval arithmetic. The book fills this gap. Several main subjects are considered: outer estimates for the range of complex functions, especially complex centered forms, the best approximations of elementary complex functions by disks, iterative methods for the inclusion by polynomial zeros including their implementation on parallel computers, the analysis of numerical stability of iterative methods by using complex interval arithmetic and numerical computation of curvilinear integrals with error bounds. Mainly new methods are presented developed over the last years, including a lot of very recent results by the authors some of which have not been published before.

## Theories of Interval Arithmetic

Author | : Hend Dawood |

Publsiher | : LAP Lambert Academic Publishing |

Total Pages | : 128 |

Release | : 2011-10-07 |

ISBN 10 | : 3846501549 |

ISBN 13 | : 9783846501542 |

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

**Theories of Interval Arithmetic Book Review:**

Scientists are, all the time, in a struggle with uncertainty which is always a threat to a trustworthy scientific knowledge. A very simple and natural idea, to defeat uncertainty, is that of enclosing uncertain measured values in real closed intervals. On the basis of this idea, interval arithmetic is constructed. The idea of calculating with intervals is not completely new in mathematics: the concept has been known since Archimedes, who used guaranteed lower and upper bounds to compute his constant Pi. Interval arithmetic is now a broad field in which rigorous mathematics is associated with scientific computing. This connection makes it possible to solve uncertainty problems that cannot be efficiently solved by floating-point arithmetic. Today, application areas of interval methods include electrical engineering, control theory, remote sensing, experimental and computational physics, chaotic systems, celestial mechanics, signal processing, computer graphics, robotics, and computer-assisted proofs. The purpose of this book is to be a concise but informative introduction to the theories of interval arithmetic as well as to some of their computational and scientific applications. Editorial Reviews "This new book by Hend Dawood is a fresh introduction to some of the basics of interval computation. It stops short of discussing the more complicated subdivision methods for converging to ranges of values, however it provides a bit of perspective about complex interval arithmetic, constraint intervals, and modal intervals, and it does go into the design of hardware operations for interval arithmetic, which is something still to be done by computer manufacturers." - Ramon E. Moore, (The Founder of Interval Computations) Professor Emeritus of Computer and Information Science, Department of Mathematics, The Ohio State University, Columbus, U.S.A. "A popular math-oriented introduction to interval computations and its applications. This short book contains an explanation of the need for interval computations, a brief history of interval computations, and main interval computation techniques. It also provides an impressive list of main practical applications of interval techniques." - Vladik Kreinovich, (International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems) Professor of Computer Science, University of Texas at El Paso, El Paso, Texas, U.S.A. "I am delighted to see one more Egyptian citizen re-entering the field of interval mathematics invented in this very country thousands years ago." - Marek W. Gutowski, Institute of Physics, Polish Academy of Sciences, Warszawa, Poland

## 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.

## Computer Methods for Engineering with MATLAB Applications

Author | : Yogesh Jaluria |

Publsiher | : Taylor & Francis |

Total Pages | : 632 |

Release | : 2011-09-08 |

ISBN 10 | : 1439897271 |

ISBN 13 | : 9781439897270 |

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

**Computer Methods for Engineering with MATLAB Applications 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

## Numerical Methods in Engineering with Python

Author | : Jaan Kiusalaas |

Publsiher | : Cambridge University Press |

Total Pages | : 424 |

Release | : 2005-07-25 |

ISBN 10 | : 9780521852876 |

ISBN 13 | : 0521852870 |

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

**Numerical Methods in Engineering with Python Book Review:**

Numerical Methods in Engineering with Python, a student text, and a reference for practicing engineers.

## Engineering Design Reliability Handbook

Author | : Efstratios Nikolaidis,Dan M. Ghiocel,Suren Singhal |

Publsiher | : CRC Press |

Total Pages | : 1216 |

Release | : 2004-12-22 |

ISBN 10 | : 0203483936 |

ISBN 13 | : 9780203483930 |

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

**Engineering Design Reliability Handbook Book Review:**

Researchers in the engineering industry and academia are making important advances on reliability-based design and modeling of uncertainty when data is limited. Non deterministic approaches have enabled industries to save billions by reducing design and warranty costs and by improving quality. Considering the lack of comprehensive and defini

## Computational Methods in Sciences and Engineering 2003

Author | : T E Simos |

Publsiher | : World Scientific |

Total Pages | : 716 |

Release | : 2003-08-26 |

ISBN 10 | : 9814485098 |

ISBN 13 | : 9789814485098 |

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

**Computational Methods in Sciences and Engineering 2003 Book Review:**

In the past few decades, many significant insights have been gained into several areas of computational methods in sciences and engineering. New problems and methodologies have appeared in some areas of sciences and engineering. There is always a need in these fields for the advancement of information exchange. The aim of this book is to facilitate the sharing of ideas, problems and methodologies between computational scientists and engineers in several disciplines. Extended abstracts of papers on the recent advances regarding computational methods in sciences and engineering are provided. The book briefly describes new methods in numerical analysis, computational mathematics, computational and theoretical physics, computational and theoretical chemistry, computational biology, computational mechanics, computational engineering, computational medicine, high performance computing, etc. Contents:Components for Time Series Receiver Clock Offset in GPS Solutions (P Abad)Some Numerical Methods for Stiff Problems (J C Butcher)Bifurcation Phenomena in Molecular Vibrational Spectroscopy (S C Farantos)Simulations of Spart in Random Fields (D T Hristopoulos)Electric Properties of Substituted Diacetylenes (P Karamanis & G Maroulis)Data Mining and Cryptology (E C Laskari et al.)A Finite Element Approach for the Dirac Radial Equation (L A A Nikolopoulos)Constraint Based Web Mining (I Petrounias et al.)Axisymmetric Rigid Bodies in Creeping Flow (J Roumeliotis)The Impact of Graphics Calculator on Mathematics Education in Asia (C-Y Suen)On the Systematic Construction of Molecular Basis Sets (S Wilson)and other papers Readership: Researchers and graduate students in any discipline involving scientific computation. Keywords:Numerical Analysis;Computational Mathematics;Computational and Theoretical Physics;Computational Chemistry;Computational Biology;Computational Mechanics;Computational Engineering, Computational Medicine;High Performance Computing

## 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.

## 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

## Numerical Methods in Engineering with MATLAB

Author | : Jaan Kiusalaas |

Publsiher | : Cambridge University Press |

Total Pages | : 426 |

Release | : 2005-08 |

ISBN 10 | : 9780521852883 |

ISBN 13 | : 0521852889 |

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

**Numerical Methods in Engineering with MATLAB Book Review:**

Numerical Methods in Engineering with MATLAB®, a student text, and a reference for practicing engineers.

## Interval Finite Element Method with MATLAB

Author | : Sukanta Nayak,Snehashish Chakraverty |

Publsiher | : Academic Press |

Total Pages | : 168 |

Release | : 2018-02-05 |

ISBN 10 | : 0128129743 |

ISBN 13 | : 9780128129746 |

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

**Interval Finite Element Method with MATLAB Book Review:**

Interval Finite Element Method with MATLAB provides a thorough introduction to an effective way of investigating problems involving uncertainty using computational modeling. The well-known and versatile Finite Element Method (FEM) is combined with the concept of interval uncertainties to develop the Interval Finite Element Method (IFEM). An interval or stochastic environment in parameters and variables is used in place of crisp ones to make the governing equations interval, thereby allowing modeling of the problem. The concept of interval uncertainties is systematically explained. Several examples are explored with IFEM using MATLAB on topics like spring mass, bar, truss and frame. Provides a systematic approach to understanding the interval uncertainties caused by vague or imprecise data Describes the interval finite element method in detail Gives step-by-step instructions for how to use MATLAB code for IFEM Provides a range of examples of IFEM in use, with accompanying MATLAB codes

## Computational Methods in Engineering Science

Author | : Zhenhan Yao,Mingwu Yuan |

Publsiher | : Springer Science & Business Media |

Total Pages | : 339 |

Release | : 2007-12-31 |

ISBN 10 | : 3540482601 |

ISBN 13 | : 9783540482604 |

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

**Computational Methods in Engineering Science Book Review:**

Here are the printed proceedings of EPMESC X, held on August 21-23, 2006 in Sanya, Hainan Island of China. It includes 14 full papers of plenary and semi-plenary lectures and approximately 166 one-page summaries. The accompanying CD-ROM includes all 180 full papers presented at the conference.

## Computing Statistics under Interval and Fuzzy Uncertainty

Author | : Hung T. Nguyen,Vladik Kreinovich,Berlin Wu,Gang Xiang |

Publsiher | : Springer Science & Business Media |

Total Pages | : 432 |

Release | : 2011-11-03 |

ISBN 10 | : 3642249043 |

ISBN 13 | : 9783642249044 |

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

**Computing Statistics under Interval and Fuzzy Uncertainty Book Review:**

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.

## Numerical Methods For Scientific And Engineering Computation

Author | : M.K. Jain |

Publsiher | : New Age International |

Total Pages | : 844 |

Release | : 2003-01-01 |

ISBN 10 | : 9788122414615 |

ISBN 13 | : 8122414613 |

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

**Numerical Methods For Scientific And Engineering Computation Book Review:**

## Numerical Methods in Biomedical Engineering

Author | : Stanley Dunn,Alkis Constantinides,Prabhas V. Moghe |

Publsiher | : Elsevier |

Total Pages | : 632 |

Release | : 2005-11-21 |

ISBN 10 | : 9780080470801 |

ISBN 13 | : 0080470807 |

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

**Numerical Methods in Biomedical Engineering Book Review:**

Numerical Modeling in Biomedical Engineering brings together the integrative set of computational problem solving tools important to biomedical engineers. Through the use of comprehensive homework exercises, relevant examples and extensive case studies, this book integrates principles and techniques of numerical analysis. Covering biomechanical phenomena and physiologic, cell and molecular systems, this is an essential tool for students and all those studying biomedical transport, biomedical thermodynamics & kinetics and biomechanics. Supported by Whitaker Foundation Teaching Materials Program; ABET-oriented pedagogical layout Extensive hands-on homework exercises

## Fuzzy Logic with Engineering Applications

Author | : Timothy J. Ross |

Publsiher | : John Wiley & Sons |

Total Pages | : 606 |

Release | : 2009-12-01 |

ISBN 10 | : 0470748516 |

ISBN 13 | : 9780470748510 |

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

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

The first edition of Fuzzy Logic with Engineering Applications (1995) was the first classroom text for undergraduates in the field. Now updated for the second time, this new edition features the latest advances in the field including material on expansion of the MLFE method using genetic algorithms, cognitive mapping, fuzzy agent-based models and total uncertainty. Redundant or obsolete topics have been removed, resulting in a more concise yet inclusive text that will ensure the book retains its broad appeal at the forefront of the literature. Fuzzy Logic with Engineering Applications, 3rd Edition is oriented mainly towards methods and techniques. Every chapter has been revised, featuring new illustrations and examples throughout. Supporting MATLAB code is downloadable at www.wileyeurope.com/go/fuzzylogic. This will benefit student learning in all basic operations, the generation of membership functions, and the specialized applications in the latter chapters of the book, providing an invaluable tool for students as well as for self-study by practicing engineers.