Hierarchische Matrizen

Wolfgang Hackbusch

Wolfgang Hackbusch
Hierarchische Matrizen [PDF ebook]
Algorithmen und Analysis

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的封面 Wolfgang Hackbusch: Hierarchische Matrizen (PDF)

Bei der Diskretisierung von Randwertaufgaben und Integralgleichungen entstehen große, 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 einschließlich der Matrixinversion bzw. der Dreieckszerlegung approximativ durchzuführen. Anwendung findet diese Technik nicht nur bei der Lösung großer Gleichungssysteme, sondern auch bei Matrixgleichungen und der Berechnung von Matrixfunktionen.

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表中的内容

Rang–Matrizen.- Einf#x00FC;hrendes Beispiel.- Separable Entwicklung und ihr Bezug zu Niedrigrangmatrizen.- Matrixpartition.- Definition und Eigenschaften der hierarchischen Matrizen.- Formatierte Matrixoperationen f#x00FC;r hierarchische Matrizen.- -Matrizen.- Verschiedene Erg#x00E4;nzungen.- Anwendungen auf diskretisierte Integraloperatoren.- Anwendungen auf Finite-Element-Matrizen.- Inversion mit partieller Auswertung.- Matrixfunktionen.- Matrixgleichungen.- Tensorprodukte.

关于作者

Arbeitsfeld des Autors:Diskretisierung partieller Differentialgleichungen, Diskretisierung von Integralgleichungen (Randelementmethoden), schnelle Lösung großer Gleichungssysteme, Mehrgittermethoden Auszeichnungen:Leibniz-Preis, Brouwer-Medaille

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语言德语 ● 格式 PDF ● 网页 451 ● ISBN 9783642002229 ● 文件大小 7.1 MB ● 出版者 Springer Berlin ● 市 Heidelberg ● 国家 DE ● 发布时间 2009 ● 下载 24 个月 ● 货币 EUR ● ID 2170140 ● 复制保护 Adobe DRM

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