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Numerische Mathematik Differentialgleichungen Approximationstheorie: Vortragsauszüge Der Tagung Über Numerische Behandlung Von Differentialgleichungen by Collatz, Meinradus, Unger

Numerische Mathematik Differentialgleichungen Approximationstheorie: Vortragsauszüge Der Tagung Über Numerische Behandlung Von Differentialgleichungen

by Collatz , Meinradus , Unger
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Book cover type: Paperback
  • ISBN13: 9783034858823
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Birkhauser
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 401
  • Original Price: EUR 56.07
  • Language: German
  • Edition: Softcover Repri
  • Item Weight: 645 grams
  • BISAC Subject(s): General

Die Funktionalanalysis hat nunmehr fUr die Numerische Mathematik eine so grosse Bedeutung erlangt, dass es angebracht ist, sie als die grundlegende Diszi- plin fUr die Numerische Mathematik anzusehen. Sie ermoglicht eine einheitliche Behandlung und Darstellung von Problemen, die in der klassischen Mathematik noch verschiedenen Gebieten angehoren. Es versteht sich von selbst, dass sich dabei die Numerische Mathematik und die Funktionalanalysis wechselseitig befruchtet haben. So war es auch das Ziel zweier Arbeitstagungen, den Zusammenhang der Funk- tionalanalysis mit der Numerischen Mathematik, insbesondere der Behandlung von Differentialgleichungen und der Approximationstheorie zu verdeutlichen. Das Mathematische Forschungsinstitut in Oberwolfach hat in dankenswerter Weise den Rahmen fUr anregende Diskussionen in personlicher und herzlicher Atmosphare bereitgestellt. Die vorangehenden Tagungen (Juni 1964, Juni 1965, November 1965) hatten ein sehr gutes Echo gefunden. Daher fanden nun zwei weitere Tagungen statt: 20. bis 25. Juni 1966 tiber: Numerische Behandlung von Differentialgleichungen unter der Leitung der Herren COLLATZ und UNGER 13. bis 19. November 1966 tiber: Numerische Analysis, insbesondere Approximationstheorie unter der Leitung der Herren COLLATZ und MEINARDUS Wie schon die Titel der Tagungen andeuten, standen Probleme der Differential- gleichungen und der Approximationstheorie im Vordergrund. Daneben wurde eine interessante Entwicklung sichtbar, die besonders fUr das numerische Rech- nen auf elektronischen Rechenanlagen von grosser Wichtigkeit sein wird: die Intervallanalysis, insbesondere das Prinzip der Intervallarithmetik. Die Inter- vallarithmetik ermoglicht eine Fehlererfassung unter Einschluss aller Rundungs- fehler.

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