Abstract
We consider the numerical solution of bifurcation problems for ordinary differential equations in the case of simple eigenvalues. First we treat the case of bifurcation from the trivial solution. We also give a new method for the numerical treatment of secondary bifurcation. It consists in the accurate determination of the bifurcation point for which a convex unrestricted minimization problem is derived, and the computation of both branches by conventional methods after transforming the problem.
Diese Arbeit enthält Teile meiner Dissertation, die unter der Anleitung von Prof. Dr. W. Börsch-Supan an der Johannes Gutenberg — Universität in Mainz entstand.
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Literatur
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© 1979 Springer Basel AG
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Weber, H. (1979). Numerische Behandlung von Verzweigungsproblemen bei Gewöhnlichen Randwertaufgaben. In: Albrecht, J., Collatz, L., Kirchgässner, K. (eds) Constructive Methods for Nonlinear Boundary Value Problems and Nonlinear Oscillations. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Serie Internationale D’Analyse Numerique, vol 48. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6283-7_15
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DOI: https://doi.org/10.1007/978-3-0348-6283-7_15
Publisher Name: Birkhäuser, Basel
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