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Hierarchische Matrizen: Algorithmen Und Analysis by Wolfgang Hackbusch

Hierarchische Matrizen: Algorithmen Und Analysis

by Wolfgang Hackbusch
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Book cover type: Hardcover
  • ISBN13: 9783642002212
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 451
  • Original Price: USD 74.99
  • Language: German
  • Edition: 2009
  • Item Weight: 858 grams
  • BISAC Subject(s): Number Systems

Bei der Diskretisierung von Randwertaufgaben und Integralgleichungen entstehen gro e, eventuell auch voll besetzte Matrizen. In dem Band stellt der Autor eine neuartige Methode dar, die es erstmals erlaubt, solche Matrizen nicht nur effizient zu speichern, sondern auch alle Matrixoperationen einschlie lich der Matrixinversion bzw. der Dreieckszerlegung approximativ durchzuführen. Anwendung findet diese Technik nicht nur bei der Lösung gro er Gleichungssysteme, sondern auch bei Matrixgleichungen und der Berechnung von Matrixfunktionen.

Arbeitsfeld des Autors:

  • Diskretisierung partieller Differentialgleichungen, Diskretisierung von Integralgleichungen (Randelementmethoden), schnelle Lösung großer Gleichungssysteme, Mehrgittermethoden

Auszeichnungen:

  • Leibniz-Preis, Brouwer-Medaille

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