Computational Interval Methods for Engineering Applications

Computational Interval Methods for Engineering Applications explains how to use classical and advanced interval arithmetic to solve differential equations governing 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, and can produce rigorous enclosures of solutions of practical problems governed by mathematical equations.  In addition to linear differential equations governing traditional areas such as robotics, control theory, and structural dynamics, nonlinear oscillators such as Duffing and Van der Pol will also be discussed, providing a uniquely comprehensive resource. The chaotic behavior of the enclosure of the oscillators is also covered, as are static and dynamic analysis of engineering problems using the interval system of linear equations and eigenvalue problems. Explains how interval arithmetic can be used to solve problems in a range of engineering disciplines, including structural and controlGives a uniquely comprehensive coverage of traditional and innovative interval techniques, with examples addressing both linear and nonlinear differential equationsProvides full mathematical details of the governing differential equations used to solve a wide range of problems INDICE: 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

• ISBN: 978-0-12-817858-4
• Editorial: Academic Press
• Encuadernacion: Rústica
• Páginas: 220
• Fecha Publicación: 01/04/2020
• Nº Volúmenes: 1
• Idioma: Inglés