Abstract
We present a method for the numerical computation of a double turning point of a nonlinear operator equation depending on two Parameters, which corresponds to a cusp catastrophe. We introduce two variants of an augmented system, for which the double turning point is an isolated Solution. We discuss the imple-mentation of this method in the case of differential equations and integral equations. Results are given for some chemical engineering problems.
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Roose, D., Caluwaerts, R. (1984). Direct Methods for The Computation of a Nonsimple Turning Point Corresponding to a Cusp. In: Küpper, T., Mittelmann, H.D., Weber, H. (eds) Numerical Methods for Bifurcation Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6256-1_29
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DOI: https://doi.org/10.1007/978-3-0348-6256-1_29
Publisher Name: Birkhäuser, Basel
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