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Rechnerorientierte Verfahren by Bruno Buchberger, Bernhard Kutzler, Manfred Feilmeier

Rechnerorientierte Verfahren

by Bruno Buchberger , Bernhard Kutzler , Manfred Feilmeier
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Book cover type: Paperback
  • ISBN13: 9783519026174
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 285
  • Original Price: EUR 46.72
  • Language: German
  • Edition: 1986
  • Item Weight: 463 grams
  • BISAC Subject(s): Engineering (General)

Computer. Algebra fdr den Ingenieur (B. Buchberger I B. Kutzler) Das Gebiet der Computer-Algebra stent dem Ingenieur ein neues Arsenal von computer-unterstutzten Methoden zur Losung von Problemen des technichlwis- senschaftlichen Rechnens zur Verfugung. In diesem Kapitel wird zunachst das neue Gebiet der Computer-Algebra charakterisiert und insbesondere vom Gebiet der Numerik abgegrenzt bzw. aufgezeigt, wie Computer-Algebra im Verein mit Numerik die ProblemlOsepotenz um eine wesentliche Qualitat erweitert. Dann werden die typischen Grundrechenoperationen, die in Computer-Algebra-Software- systemen moglich sind, und die Verbindung dieser Operationen zu Programmen an Hand von Beispielen, insbesondere von konkreten Anwendungen aus der Ingenieur- mathematik, demonstriert. 1m nachsten Abschnitt werden dann die wichtigsten Computer-Algebra-Softwaresysteme und ihre Verfugbarkeit fo. r den Benutzer be- sprochen. Schlie13lich wird im Abschnitt Computer-Algebra-Algorithmen auf die der Computer-Algebra zugrundeliegende Mathematik eingegangen, indem fur einige typische Problemstellungen die zur Losung fuhrenden matbematisch/algorith- mischen Ideen skizziert werden. Algorithmen zur Methode der finiten Elemente fdr Vektorrechner (M. Kratz) Eine neuartige Klasse sehr leistungsfahiger Computer hat die Moglichkeit der numerischen Datenverarbeitung wesentlich erweitert: die sog. Vektorrechner. Ihre V erarbei tungsgesch windigkei t kann diejenige gro13er U ni versalrechner um Zehnerpotenzen ubertreffen - jedoch nur mit neuen, der speziellen Maschinen- architektur angepa13ten Algorithmen und Programmen. Das Besondere ist die Funktionsweise ihrer Prozessoren, die lange Folgen von Daten nach dem Flie13band- prinzip verknupfen. Aus dem Flie13bandverfahren folgt, da13 sich die volle Leistung 6 der Maschinen erst bei genugend langen Operndenstromen einstellt.

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