# Computational Interval Methods for Engineering Applications

## Computational Interval Methods for Engineering Applications

 Author : Snehashish Chakraverty Publisher : Academic Press Release Date : 01 November 2020 ISBN : 9780128178591 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

### Applications of Interval Computations by R. Baker Kearfott,V. Kreinovich

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

### 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.

### 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

### 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 for Chemical Engineering by Kenneth J Beers,Kenneth J. Beers

Applications of numerical mathematics and scientific computing to chemical engineering.

### 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

### 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

### Computational Error and Complexity in Science and Engineering by Vangipuram Lakshmikantham,Syamal Kumar Sen

The book “Computational Error and Complexity in Science and Engineering pervades all the science and engineering disciplines where computation occurs. Scientific and engineering computation happens to be the interface between the mathematical model/problem and the real world application. One needs to obtain good quality numerical values for any real-world

### 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

### The Finite Element Method by Zhangxin Chen

This Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily abstract. Various finite elements

### Scientific Computing Validated Numerics Interval Methods by Walter Kramer,Jurgen Wolff Von Gudenberg

Download or read online Scientific Computing Validated Numerics Interval Methods written by Walter Kramer,Jurgen Wolff Von Gudenberg, published by Unknown which was released on 2014-01-15. Get Scientific Computing Validated Numerics Interval Methods Books now! Available in PDF, ePub and Kindle.

### Numerical Analysis with Applications in Mechanics and Engineering by Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea

A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on