Ulteriori informazioni
The aim of this book is to present the mathematical theory and the know-how to make computer programs for the numerical approximation of Optimal Control of PDE's. The computer programs are presented in a straightforward generic language. As a consequence they are well structured, clearly explained and can be translated easily into any high level programming language. Applications and corresponding numerical tests are also given and discussed. To our knowledge, this is the first book to put together mathematics and computer programs for Optimal Control in order to bridge the gap between mathematical abstract algorithms and concrete numerical ones.
The text is addressed to students and graduates in Mathematics, Mechanics, Applied Mathematics, Numerical Software, Information Technology and Engineering. It can also be used for Master and Ph.D. programs.
Sommario
1. Selected Topics from Functional and Convex Analysis.- 2. Optimization Problems.- 3.Numerical Approximation of Elliptic Variational Problems.- 4. Indirect Methods for Optimal Control Problems.- 5. A Control Problems for a Class of Epidemics.- 6. Optimal Control for Plate Problems.- 7. Direct Numerical Methods for Optimal Control Problems.- 8. Stochastic Control Problems.- References.- Topic Index.- Author Index.
Riassunto
The aim of this book is to present the mathematical theory and the know-how to make computer programs for the numerical approximation of Optimal Control of PDE's. The computer programs are presented in a straightforward generic language. As a consequence they are well structured, clearly explained and can be translated easily into any high level programming language. Applications and corresponding numerical tests are also given and discussed. To our knowledge, this is the first book to put together mathematics and computer programs for Optimal Control in order to bridge the gap between mathematical abstract algorithms and concrete numerical ones.
The text is addressed to students and graduates in Mathematics, Mechanics, Applied Mathematics, Numerical Software, Information Technology and Engineering. It can also be used for Master and Ph.D. programs.
Testo aggiuntivo
From the reviews:
"This text provides a comprehensive introduction to several techniques for the numerical computation of control problems governed by (mainly elliptic) partial differential equations (PDE). … The pseudo-code is clear and well documented … . This book is most suited for graduate students in applied mathematics, numerical analysis or control engineering." (Andrew C. Eberhard, Zentralblatt MATH, Vol. 1056 (7), 2005)
Relazione
From the reviews:
"This text provides a comprehensive introduction to several techniques for the numerical computation of control problems governed by (mainly elliptic) partial differential equations (PDE). ... The pseudo-code is clear and well documented ... . This book is most suited for graduate students in applied mathematics, numerical analysis or control engineering." (Andrew C. Eberhard, Zentralblatt MATH, Vol. 1056 (7), 2005)
