Computational Interval Methods for Engineering Applications

Snehashish Chakraverty (Full Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology, Rourkela, India),Nisha Rani Mahato (Research Scholar, Department of Mathematics (Applied Mathematics Group), National Institute of Technology, Rourkela, India),Snehashish Chakraverty (Full Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology, Rourkela, India),Snehashish Chakraverty (Full Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology, Rourkela, India),Nisha Rani Mahato (Research Scholar, Department of Mathematics (Applied Mathematics Group), National Institute of Technology, Rourkela, India)

Computational Interval Methods for Engineering Applications
Format
Paperback
Publisher
Elsevier Science Publishing Co Inc
Country
United States
Published
1 November 2020
Pages
220
ISBN
9780128178584

Computational Interval Methods for Engineering Applications

Snehashish Chakraverty (Full Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology, Rourkela, India),Nisha Rani Mahato (Research Scholar, Department of Mathematics (Applied Mathematics Group), National Institute of Technology, Rourkela, India),Snehashish Chakraverty (Full Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology, Rourkela, India),Snehashish Chakraverty (Full Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology, Rourkela, India),Nisha Rani Mahato (Research Scholar, Department of Mathematics (Applied Mathematics Group), National Institute of Technology, Rourkela, India)

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.

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