Numerical computation of branch points in ordinary differential equations |
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Authors: | Rüdiger Seydel |
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Institution: | (1) Mathematisches Institut, Technische Universität München, Postfach 202420, D-8000 München, Germany (Fed. Rep.) |
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Abstract: | 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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Keywords: | AMS (MOS): 65L10 CR: 5 17 |
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