Optimal Control from Theory to Computer Programs

2003
ISBN: 978-1-4020-1771-1
Verlag: Springer Netherlands

Buch, Englisch, Band 111, 330 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 682 g

Reihe: Solid Mechanics and Its Applications

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.

Zielgruppe

Students and graduates in mathematics, mechanics, applied mathematics, numerical software, information technology and engineering

Autoren/Hrsg.

Neittaanmäki, Pekka

Arnautu, Viorel

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

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.