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Numerik Der Optimierung by Christian Großmann, Johannes Terno

Numerik Der Optimierung

by Christian Großmann , Johannes Terno
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Book cover type: Paperback
  • ISBN13: 9783519020905
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 353
  • Original Price: EUR 46.72
  • Language: German
  • Edition: 1993
  • Item Weight: 413 grams
  • BISAC Subject(s): Engineering (General)

Diesem Buch liegen verschiedene Grund-und Spezialvorlesungen zur Theorie und Numerik der Optimierung, welche die Autoren in den zurückliegenden Jahren an der Technischen Universität Dresden vorrangig für Studenten der Mathematik ge- halten haben, zugrunde. Ebenso sind Erfahrungen aus Gastlehrtätigkeiten an an- deren Universitäten, insbesondere an der Universität Kuwait, eingeflossen. Das vorliegende Manuskript entstand aus dem Bedürfnis heraus, den Studieren- den, aber auch mathematisch interessierten Naturwissenschaftlern und Ingenieuren ein Lehrbuch zur Verfügung zu stellen, in dem gemeinsam wesentliche Grundprin- zipien für unterschiedliche Klassen von Optimierungsaufgaben behandelt werden. Dabei umfa t das Spektrum der einbezogenen Probleme optimierungstheoretische Fragen, wie Existenz und Charakterisierung von Optima, Hauptlinien der algorith- mischen Behandlung stetiger und diskreter Optimierungsprobleme bis hin zu spe- ziellen Fragen, wie z.B. Dekompositionstechniken zur Berücksichtigung problem- spezifischer Strukturen. Das Buch widmet sich schwerpunktmä ig endlichdimensionalen stetigen und diskreten Optimierungsproblemen, zeigt aber auch Verallgemeinerungen zu Auf- gaben in Funktionenräumen auf. Dabei wird im Unterschied zu existierenden Lehrbüchern, bei denen endlichdimensionale Probleme als Spezialfall abstrakter Aufgaben mit skizziert werden, hier exemplarisch eine Sicht von den endlichdimen- sionalen Problemen ausgehend auf die abstrakten Aufgaben angestrebt. Insbeson- dere sollen damit auch Verbindungen der Numerik der Optimierung zu anderen mathematischen Spezialgebieten, wie z.B. zur Methode der Finiten Elemente und zur Diskretisierung von Variationsungleichungen aufgezeigt werden.

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