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Splitting iteration method for simple singular points and simple bifurcation points

Iteratives Splitting-Verfahren für einfache singuläre Punkte und einfache Verzweigungspunkte

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Abstract

A splitting iteration method is introduced to compute the simple singular points and the simple bifurcation points of nonlinear problems. It needs little computational work and converges with an adjustable rate. Numerical examples are presented.

Zusammenfassung

Es wird ein iteratives Splitting-Verfahren zur Berechnung von einfachen singulären Punkten und von einfachen Verzweigungspunkten von nichtlinearen Gleichungen vorgestellt. Die Methode benötigt wenig Rechenaufwand und konvergiert mit einer regulierbaren Geschwindigkeit. Numerische Beispiele werden präsentiert.

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Zhen, M. Splitting iteration method for simple singular points and simple bifurcation points. Computing 41, 87–96 (1989). https://doi.org/10.1007/BF02238731

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  • DOI: https://doi.org/10.1007/BF02238731

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