Hardcover. 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. This book investigates how a user or observer can influence the behavior of 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 the first part of the book, the authors discuss the mathematics and numerics relating to the controllability of systems modeled by linear and non-linear diffusion equations; Part two is dedicated to the controllability of vibrating systems, typical ones being those modeled by linear wave equations; and finally, part three covers flow control for systems governed by the Navier-Stokes equations modeling 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Detalles bibliogr�ficos

T�tulo: Exact and Approximate Controllability for Distributed Parameter Systems: A Numerical Approach (Hardcover)
Editor: Cambridge University Press, Cambridge
Fecha de publicaci�n: 2008
Idioma: Ingl�s
ISBN 10: 0521885728
ISBN 13: 9780521885720
Encuadernaci�n: Hardcover
Edici�n: 1� Edici�n
Estado: new

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Sinopsis

One of the very few books combining a thorough mathematical analysis of controllability problems with a detailed investigation of methods for solving them numerically. The approach taken makes it accessible to graduate students and researchers in applied and computational mathematics, engineering and physics.

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Roland Glowinski is Cullen Professor of Mathematics at the University of Houston and Emeritus Professor at Laboratoire J. L. Lions, University P. and M. Curie, Paris. He is a Member of the French National Academy of Sciences and in 2004 won the Von Karman prize from the Society for Industrial and Applied Mathematics. He has written over 300 research papers and this is his 3rd book.

The late Jacques-Louis Lions was a Professor at College de France, Paris. During his distinguished career he was elected an honorary member of over twenty learned societies and academies world-wide and received honorary degrees from nineteen universities. He was awarded a large number of international prizes, including the SIAM T and Idalia Reid Prize in Mathematics, the Prize of Japan and the John Von Neumann Prize. By the time of his death in 2001, he had authored over 20 books.

Jiwen He is Associate Professor of Mathematics at the University of Houston. His research interests are numerical analysis, computational fluid dynamics, and control theory.

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