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Numerical computation of branch points in ordinary differential equations

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Summary

This paper deals with the computation of branch points in ordinary differential equations. A direct numerical method is presented which requires the solution of only one boundary value problem. The method handles the general case of branching from a nontrivial solution which is a-prioriunknown. A testfunction is proposed which may indicate branching if used in continuation methods. Several real-life problems demonstrate the procedure.

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  1. Mathematisches Institut, Technische Universität München, Postfach 202420, D-8000, München, Germany (Fed. Rep.)

    Rüdiger Seydel

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  1. Rüdiger Seydel
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Seydel, R. Numerical computation of branch points in ordinary differential equations. Numer. Math. 32, 51–68 (1979). https://doi.org/10.1007/BF01397649

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