# computational interval methods for engineering applications

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## Computational Interval Methods for Engineering Applications

 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

### 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 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.

### Handbook of Granular Computing by Witold Pedrycz,Andrzej Skowron,Vladik Kreinovich

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

### Fuzzy Applications in Industrial Engineering by Cengiz Kahraman

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### Computational Intelligence in Information Assurance and Security by Ajith Abraham

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

### Computer Methods for Engineering with MATLAB Applications Second Edition by Yogesh Jaluria

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

### Soft Computing Approach for Mathematical Modeling of Engineering Problems by Ali Ahmadian,Soheil Salahshour

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

### Combining Interval Probabilistic and Other Types of Uncertainty in Engineering Applications by Andrew Pownuk,Vladik Kreinovich

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

### Numerical Methods and Applications by Lirkov Ivan Dimov,Stefka Dimova,Natalia Kolkovska

This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Numerical Methods and Applications, NMA 2010, held in Borovets, Bulgaria, in August 2010. The 60 revised full papers presented together with 3 invited papers were carefully reviewed and selected from numerous submissions for inclusion in this book. The papers are

### 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 Validation in Current Hardware Architectures by Annie A.M. Cuyt,Walter Krämer,Wolfram Luther,Peter Markstein

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

### Numerical Methods and Applications by Todor Boyanov,Stefka Dimova,Krassimir Georgiev,Geno Nikolov

This book constitutes the thoroughly refereed post-proceedings of NMA 2006 held in Borovets, Bulgaria. Coverage in the 84 revised full papers includes numerical methods for hyperbolic problems, robust preconditioning solution methods, metaheuristics for optimization problems, uncertain/control systems and reliable numerics, interpolation and quadrature processes, and large-scale computations in environmental modeling.

### Uncertainty Quantification and Predictive Computational Science by Ryan G. McClarren

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

### Numerical Methods for Engineering Applications by Joel H. Ferziger

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