Numerische Mathematik - neues Buch

EAN (ISBN-13): 9783764384296
ISBN (ISBN-10): 3764384298
Erscheinungsjahr: 2011
Herausgeber: Springer Basel
150 Seiten
Sprache: ger/Deutsch

Buch in der Datenbank seit 2012-02-08T08:07:06+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-02-21T14:41:57+01:00 (Berlin)
ISBN/EAN: 9783764384296

ISBN - alternative Schreibweisen:
3-7643-8429-8, 978-3-7643-8429-6
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: zulehner, walter
Titel des Buches: instationäre, einführung, mathematik numerische

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Daten vom Verlag:

Autor/in: Walter Zulehner
Titel: Mathematik Kompakt; Numerische Mathematik - Eine Einführung anhand von Differentialgleichungsproblemen Band 2: Instationäre Probleme
Verlag: Birkhäuser; Springer Basel
150 Seiten
Erscheinungsjahr: 2011-12-21
Basel; CH
Sprache: Deutsch
13,48 € (DE)

EA; E107; eBook; Nonbooks, PBS / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Numerische Mathematik; Verstehen; Analysis; Bachelor; Instationäre Probleme; Mathematik; Vorlesung; partial differential equations; ordinary differential equations; A; Numerical Analysis; Computational Science and Engineering; Differential Equations; Mathematics; Mathematics and Statistics; Differentialrechnung und -gleichungen; Mathematik; BC

Numerische Mathematik", aufgeteilt in zwei Bände, ist eine Einführung in die Numerische Mathematik anhand von Differentialgleichungsproblemen. Gegliedert nach elliptischen, parabolischen und hyperbolischen Differentialgleichungen wird zunächst jeweils die Diskretisierung solcher Probleme besprochen. Als Diskretisierungstechniken stehen Finite-Elemente-Methoden im Raum und (partitionierte) Runge-Kutta-Methoden in der Zeit im Vordergrund. Die diskretisierten Gleichungen dienen als Motivation zur Diskussion von Methoden für endlichdimensionale lineare und nichtlineare Gleichungen, die anschließend als eigenständige Themen behandelt werden. Auf diese Weise wird versucht, nicht nur ein einführendes sondern auch ein in sich abgeschlossenes Bild der Numerischen Mathematik, zumindest in einem zentralen Aufgabenbereich, zu vermitteln. Der zweite Band setzt mit der Diskussion parabolischer und hyperbolischer Anfangsrandwertprobleme fort. Die durch Semi-Diskretisierung im Raum entstehenden Anfangswertprobleme dienen als Einstieg und Motivation der anschließenden Behandlung allgemeiner Anfangswertprobleme gewöhnlicher Differentialgleichungen erster und zweiter Ordnung. 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Ordnung.- VII Runge-Kutta-Verfahren für Anfangswertprobleme 2. Ordnung.- VIII Partitionierte Runge-Kutta-Verfahren.- Literaturverzeichnis.- Index.";}}}}}i:2;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"12";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:112:"Walter Zulehner ist Professor für Numerische Mathematik an der Johannes-Kepler-Universität Linz (Österreich).";}}}i:3;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"05";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:1352:"Numerische Mathematik", aufgeteilt in zwei Bände, ist eine Einführung in die Numerische Mathematik anhand von Differentialgleichungsproblemen. 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