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Computational Interval Methods for Engineering Applications

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Computational Interval Methods for Engineering Applications - Mahato, Nisha Rani; Chakraverty, Snehashish - ISBN: 9780128178584
Prijs: € 161,30 (onder voorbehoud)
Beschikbaarheid: Nog niet verschenen.
Bindwijze: Boek, Paperback (01-11-2020)
Genre: Techniek
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Beschrijving

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

Details

Titel: Computational Interval Methods for Engineering Applications
auteur: Mahato, Nisha Rani; Chakraverty, Snehashish
Mediatype: Boek
Bindwijze: Paperback
Taal: Engels
Aantal pagina's: 220
Uitgever: Elsevier Science
Publicatiedatum: 2020-11-01
NUR: Techniek
Afmetingen: 229 x 152
ISBN/ISBN13: 9780128178584
Intern nummer: 44975818

Biografie (woord)

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

Extra informatie

A detailed introduction to interval computation and its use in managing uncertainties in differential equations for a range of engineering applications

Inhoudsopgave

1. Basics of interval analysis 2. Classical interval arithmetic 3. Interval linear differential equations 4. Interval non-linear differential equations 5. Parametric interval arithmetic 6. Modal interval arithmetic 7. Affine arithmetic 8. Concepts of Contractors 9. Differential inclusion 10. Global optimisation using interval 11. Interval uncertainty in linear structural problems 12. Interval uncertainty in non-linear dynamic structural problems 13. Interval uncertainty in control problems 14. Interval uncertainty in system identification problems 15. Interval uncertainty in other science and engineering problems

Winkelvoorraad

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