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Nichtlineare Randwertprobleme by Hermann, Martin

Nichtlineare Randwertprobleme

by Martin Hermann
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Book cover type: Paperback
  • ISBN13: 9783110514889
  • Binding: Paperback
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 291
  • Original Price: USD 62.99
  • Language: German
  • Edition: 2., Uberarbeite
  • Item Weight: 522 grams
  • BISAC Subject(s): Differential Equations / Ordinary

Band 2 von Numerik gew�hnlicher Differentialgleichungen besch�ftigt sich mit der L�sung nichtlinearer Zweipunkt-Randwertprobleme mittels Schiessverfahren. Insbesondere werden auch numerische Techniken zur Berechnung und Darstellung der L�sungsmannigfaltigkeit parameterabh�ngiger Probleme in Form von Bifurkationsdiagrammen vorgestellt. Hierbei spielen erweiterte und transformierte Randwertprobleme f�r das Studium von Grenz- und Bifurkationspunkten eine zentrale Rolle. Die Darstellung des Stoffes erfolgt in leicht verst�ndlicher und anschaulicher Form. Der Zweib�nder ist f�r Einf�hrungsvorlesungen sowie als Nachschlagewerk konzipiert und beide B�nde 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.

  • L�sung nichtlinearer RWPe mit modernen Schiessverfahren
  • Mit einem neuen Kapitel �ber parameterabh�ngige RWPe
  • F�r Studenten der Mathematik, Physik und den Ingenieurwissenschaften
  • Enth�lt eine Vielzahl von Beispielen
  • Mit MATLAB-Programmen der wichtigsten Schiessverfahren (auch online erh�ltlich)
  • Auch im Set mit Band 1: Anfangswertprobleme und lineare Randwertprobleme erh�ltlich

Inhalt
Nichtlineare Zweipunkt-Randwertprobleme
Numerische Analyse von Einfach-Schie techniken
Numerische Analyse von Mehrfach-Schie techniken
Numerische Behandlung von parameterabh�ngigen Zweipunkt-Randwertproblemen
Numerische L�sung nichtlinearer algebraischer Gleichungssysteme

Martin Hermann, Friedrich-Schiller-Universität Jena.

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