The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments. In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of use to more advanced practitioners.
| ISBN: | 9780521885720 |
| Publication date: | 20th March 2008 |
| Author: | Roland Professor, University of Houston Glowinski, JacquesLouis Collège de France, Paris Lions, Jiwen University of He |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 470 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Calculus and mathematical analysis |
The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments. In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of use to more advanced practitioners.
Exact and Approximate Controllability for Distributed Parameter Systems features in the following genres: Calculus and mathematical analysis
Exact and Approximate Controllability for Distributed Parameter Systems is available in Hardback
Exact and Approximate Controllability for Distributed Parameter Systems was written by Roland Professor, University of Houston Glowinski, JacquesLouis Collège de France, Paris Lions, Jiwen University of He and published by Cambridge University Press
Exact and Approximate Controllability for Distributed Parameter Systems has 470 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£138.60