# computational interval methods for engineering applications

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 Author : Snehashish Chakraverty Publisher : Academic Press Release Date : 01 November 2020 ISBN 10 : 0128178590 Pages : 220 pages Rating : 5/5 (3 users)

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 Interval Methods for Engineering Applications by Snehashish Chakraverty,Nisha Rani Mahato

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 ### Computational Methods in Engineering and Science by Shoichiro Nakamura

Download or read online Computational Methods in Engineering and Science written by Shoichiro Nakamura, published by Unknown which was released on 1977. Get Computational Methods in Engineering and Science Books now! Available in PDF, ePub and Kindle. ### Complex Interval Arithmetic and Its Applications by Miodrag Petkovic,Miodrag Petković,Miodrag S. Petkovic,Ljiljana Petković

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 ### Computational Methods in Engineering by S.P. Venkateshan,Prasanna Swaminathan

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 ### Computational Intelligence in Emerging Technologies for Engineering Applications by Orestes Llanes Santiago,Carlos Cruz Corona,Antônio José Silva Neto,José Luis Verdegay

This book explores applications of computational intelligence in key and emerging fields of engineering, especially with regard to condition monitoring and fault diagnosis, inverse problems, decision support systems and optimization. These applications can be beneficial in a broad range of contexts, including: water distribution networks, manufacturing systems, production and storage ### Theories of Interval Arithmetic by Hend Dawood

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. ### Computational Complexity and Feasibility of Data Processing and Interval Computations by V. Kreinovich,A.V. Lakeyev,J. Rohn,P.T. Kahl

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 ### Numerical Methods in Engineering with Python by Jaan Kiusalaas

Numerical Methods in Engineering with Python, a student text, and a reference for practicing engineers. ### Interval Finite Element Method with MATLAB by Sukanta Nayak,Snehashish Chakraverty

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 ### Scientific Computing Validated Numerics Interval Methods by Walter Krämer,Jürgen Wolff von Gudenberg

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 ### Computational Intelligence for Multimedia Big Data on the Cloud with Engineering Applications by Arun Kumar Sangaiah,Zhiyong Zhang,Michael Sheng

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 ### Numerical Methods in Engineering with MATLAB by Jaan Kiusalaas

Numerical Methods in Engineering with MATLAB®, a student text, and a reference for practicing engineers. ### Computational Methods in Sciences and Engineering 2003 by T E Simos

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 ### Engineering Design Reliability Handbook by Efstratios Nikolaidis,Dan M. Ghiocel,Suren Singhal

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 ### Fuzzy Logic with Engineering Applications by Timothy J. Ross

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