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Matrizen Und Ihre Anwendungen Für Angewandte Mathematiker, Physiker Und Ingenieure: Teil 2: Numerische Methoden
Hardcover
General MathematicsPhysicsProbability & Statistics
ISBN13: 9783540154747
Publisher: Springer Nature
Published: Oct 1 1986
Pages: 478
Weight: 1.92
Height: 1.06 Width: 6.14 Depth: 9.21
Language: German
Der Teil 2 dieses Standardwerkes behandelt - aufbauend auf den Grundlagen des ersten Bandes - die numerischen Methoden und deren Anwendung in den Ingenieurwissenschaften . Eine Fülle von Algorithmen und Einschlie ungssätzen werden in Form von Programmieranleitungen vorgestellt und an mehr als hundert Beispielen mit Matrizen der Ordnung n = 2 bis n = 200.000 zahlenmä ig getestet. Viele Algorithmen werden hier erstmal beschrieben wie z. B. zur Behandlung folgender Probleme:
Lineare Gleichungssysteme: Rapido/Rapidissimo,
Lineare Eigenwertprobleme, Selektion: Ritz-Iteration/Bonaventura
Lineare Eigenwertprobleme, Globalalgorithmus: Securitas, Velocitas
Einschlie ung von Eigenwerten bei Matrizenpaaren: Determinantensatz
Eigenwerte von Plxnommatrizen, speziell für gedämpfte Schwingungen: ECP-Algorithmus
Nichtlineare, auch transzendente Eigenwertprobleme: S-T-Algorithmus.
An zahlreichen Aufgaben aus Statik, Elastomechanik und Schwingungstechnik werden diese neuen Algorithmen erprobt: es wird gezeigt, dass sie den herkömmlichen Algorithmen in jeder Hinsicht überlegen sind.
Das Buch stellt damit - beide Teile zusammengenommen - eines der umfassendsten Werke auf dem Gebiet der Numerischen Methoden für lineare Algebra dar.
Es ist nicht nur als vorlesungsbegleitendes Lehrbuch gedacht, sondern darüber hinaus zur Weiterbildung von berechnenden Ingenieure, Physikern, Angewandten Mathematikern der Praxis ebenso wie für Informatiker zur Herstellung von Software auf dem Sektor Matrizenkalkül geeignet.
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