Computational Interval Methods for Engineering Applications

Erscheinungsjahr 2020
ISBN: 978-0-12-817858-4
Verlag: Elsevier Science

Buch, Englisch, 220 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 341 g

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.

Zielgruppe

Researchers in academia and industry exploring computational methods in engineering, addressing problems in areas including structures, control, and robotics

Autoren/Hrsg.

Chakraverty, Snehashish

Mahato, Nisha Rani

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau

Inhaltsverzeichnis

1. Basics of interval analysis2. Classical interval arithmetic3. Interval linear differential equations4. Interval non-linear differential equations5. Parametric interval arithmetic6. Modal interval arithmetic7. Affine arithmetic8. Concepts of Contractors9. Differential inclusion10. Global optimisation using interval11. Interval uncertainty in linear structural problems12. Interval uncertainty in non-linear dynamic structural problems13. Interval uncertainty in control problems14. Interval uncertainty in system identification problems15. Interval uncertainty in other science and engineering problems

Über Autor(innen)

Mahato, Nisha Rani
NR Mahato's research focuses on structural dynamics, interval analysis, and eigenvalue problems.

Chakraverty, Snehashish
Dr. Snehashish Chakraverty has over thirty years of experience as a teacher and researcher. Currently, he is a Senior Professor in the Department of Mathematics (Applied Mathematics Group) at the National Institute of Technology Rourkela, Odisha, India. He has a Ph.D. from IIT Roorkee in Computer Science. Thereafter he did his post-doctoral research at Institute of Sound and Vibration Research (ISVR), University of Southampton, U.K. and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill Universities, Canada, and visiting professor at the University of Johannesburg, South Africa. He has authored/co-authored 14 books, published 315 research papers in journals and conferences, and has four more books in development. Dr. Chakraverty is on the Editorial Boards of various International Journals, Book Series and Conferences. Dr. Chakraverty is the Chief Editor of the International Journal of Fuzzy Computation and Modelling (IJFCM), Associate Editor of Computational Methods in Structural Engineering, Frontiers in Built Environment, and is the Guest Editor for several other journals. He was the President of the Section of Mathematical sciences (including Statistics) of the Indian Science Congress. His present research area includes Differential Equations (Ordinary, Partial and Fractional), Soft Computing and Machine Intelligence (Artificial Neural Network, Fuzzy and Interval Computations), Numerical Analysis, Mathematical Modeling, Uncertainty Modelling, Vibration and Inverse Vibration Problems.