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Nichtlineare Randwertprobleme
Paperback
Series: de Gruyter Studium
Publisher Price: $62.99
ISBN13: 9783110514889
Publisher: de Gruyter
Published: Feb 5 2018
Pages: 291
Weight: 1.15
Height: 0.60 Width: 6.60 Depth: 9.40
Language: German
Band 2 von Numerik gewöhnlicher Differentialgleichungen beschäftigt sich mit der Lösung nichtlinearer Zweipunkt-Randwertprobleme mittels Schiessverfahren. Insbesondere werden auch numerische Techniken zur Berechnung und Darstellung der Lösungsmannigfaltigkeit parameterabhängiger Probleme in Form von Bifurkationsdiagrammen vorgestellt. Hierbei spielen erweiterte und transformierte Randwertprobleme für das Studium von Grenz- und Bifurkationspunkten eine zentrale Rolle. Die Darstellung des Stoffes erfolgt in leicht verständlicher und anschaulicher Form. Der Zweibänder ist für Einführungsvorlesungen sowie als Nachschlagewerk konzipiert und beide Bände decken den gesamten Bereich von den klassischen Techniken bis hin zu den modernen Algorithmen ab. Die Verfahren werden mathematisch exakt beschrieben und deren Umsetzung in eine Programmiersprache anhand von Beispielen in MATLAB illustriert.
- Lösung nichtlinearer RWPe mit modernen Schiessverfahren
- Mit einem neuen Kapitel über parameterabhängige RWPe
- Für Studenten der Mathematik, Physik und den Ingenieurwissenschaften
- Enthält eine Vielzahl von Beispielen
- Mit MATLAB-Programmen der wichtigsten Schiessverfahren (auch online erhältlich)
- Auch im Set mit Band 1: Anfangswertprobleme und lineare Randwertprobleme erhältlich
Inhalt
Nichtlineare Zweipunkt-Randwertprobleme
Numerische Analyse von Einfach-Schie techniken
Numerische Analyse von Mehrfach-Schie techniken
Numerische Behandlung von parameterabhängigen Zweipunkt-Randwertproblemen
Numerische Lösung nichtlinearer algebraischer Gleichungssysteme
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