Eigenwertberechnung in Den Ingenieurwissenschaften: Mit Einer Einführung in Die Numerik Linearer Gleichungssysteme

Name: Eigenwertberechnung in Den Ingenieurwissenschaften: Mit Einer Einführung in Die Numerik Linearer Gleichungssysteme
Brand: Vieweg+teubner Verlag
SKU: 9783519026150
Price: 3089.0 INR
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by Peter Spellucci , Willi Törnig

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ISBN13: 9783519026150
Binding: Paperback
Subject: N/A
Publisher: Vieweg+teubner Verlag
Publisher Imprint: Vieweg+teubner Verlag
Publication Date: October 1, 1985
Pages: 196
Original Price: EUR 42.05
Language: German
Edition: 1985
Item Weight: 327 grams
BISAC Subject(s): Engineering (General)

About The Book

Der vorlie;Jende Band entstand aus Texten, die im Rahmen des "Modellversuch zur mathematischen W: !iterbi Idung" der Un i vers i tät Ka i sers I autern entstanden. Er soll Ingenieure, Mathematiker und Naturwissenschaftler in der Praxis und an Hochschulen Uber einige numerische Methoden der linearen Algebra informieren, die fUr technische Fragestellungen von besonderer Bedeutung sind. Der erste Teil enthält neben einem kurzen Repetitorium Uber Grundlagen der linearen Algebra Methoden zur Lösung linearer Gleichungssysteme.Es werden einige direkte und iterative Verfahren betrachtet. Insbesondere werden Verfahren zur Lösung von gro en schwach besetzten linearen Gleichungs- systemen, wie sie etwa bei der Anwendung der Methode der finiten Elemente entstehen, untersucht. Die numerische Berechnung und die Analyse von Schwingungen (Modal-Analyse) fUhren auf die Lösung von Matrizen-Eigenwertproblemen. Diesen ist der zweite und grö ere Hauptteil des Buchs gewidmet. Nach einer ausfUhrlichen Beschreibung der zu behandelnden Aufgaben werden die wiChtigsten numerischen Verfahren zur Berechnung der Eigenwerte und Eigenvektoren verschieden- artiger Matrizen behandelt. Darunter befinden sich sowohl Verfahren zur Berechnung einzelner als auch solche zur Berechnung aller Eigenwerte und Eigenvektoren. Auch neueste Entwicklungen werden berUcksichtigt, soweit sie fUr Ingenieuraufgaben von Bedeutung sein können. Viele numerische H- weise ergänzen die Darstellung. Die FUlle des Stoffes und der begrenzte Umfang des Buches erfordern eine knappe Darstellung. Durch Verzicht auf Beweise und mit eingestreuten Beispielen aber auch durch gezielte Literaturhinweise, hoffen wir, dieser Tatsache angemessen Rechnung zu tragen. Wir sind fUr kritische Hinweise jedoch dankbar.

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