Exact and approximate controllability for distributed parameter systems: a numerical approach
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...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 117 |
| Links: | https://doi.org/10.1017/CBO9780511721595 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xii, 458 Seiten) |
| ISBN: | 9780511721595 |
Internformat
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| 100 | 1 | |a Glowinski, R. | |
| 245 | 1 | 0 | |a Exact and approximate controllability for distributed parameter systems |b a numerical approach |c Roland Glowinski, Jacques-Louis Lions, Jiwen He |
| 246 | 3 | |a Exact & Approximate Controllability for Distributed Parameter Systems | |
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| 300 | |a 1 Online-Ressource (xii, 458 Seiten) | ||
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| 490 | 1 | |a Encyclopedia of mathematics and its applications |v volume 117 | |
| 520 | |a 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. | ||
| 700 | 1 | |a He, Jiwen | |
| 700 | 1 | |a Lions, J.-L. |d 1928-2001 | |
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| spelling | Glowinski, R. Exact and approximate controllability for distributed parameter systems a numerical approach Roland Glowinski, Jacques-Louis Lions, Jiwen He Exact & Approximate Controllability for Distributed Parameter Systems Cambridge Cambridge University Press 2008 1 Online-Ressource (xii, 458 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 117 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. He, Jiwen Lions, J.-L. 1928-2001 Erscheint auch als Druck-Ausgabe 9780521885720 |
| spellingShingle | Glowinski, R. Exact and approximate controllability for distributed parameter systems a numerical approach |
| title | Exact and approximate controllability for distributed parameter systems a numerical approach |
| title_alt | Exact & Approximate Controllability for Distributed Parameter Systems |
| title_auth | Exact and approximate controllability for distributed parameter systems a numerical approach |
| title_exact_search | Exact and approximate controllability for distributed parameter systems a numerical approach |
| title_full | Exact and approximate controllability for distributed parameter systems a numerical approach Roland Glowinski, Jacques-Louis Lions, Jiwen He |
| title_fullStr | Exact and approximate controllability for distributed parameter systems a numerical approach Roland Glowinski, Jacques-Louis Lions, Jiwen He |
| title_full_unstemmed | Exact and approximate controllability for distributed parameter systems a numerical approach Roland Glowinski, Jacques-Louis Lions, Jiwen He |
| title_short | Exact and approximate controllability for distributed parameter systems |
| title_sort | exact and approximate controllability for distributed parameter systems a numerical approach |
| title_sub | a numerical approach |
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