The convergence of shooting methods for singular boundary value problems

Koch, Othmar; Weinmüller, Ewa

doi:10.1090/S0025-5718-01-01407-7

The convergence of shooting methods for singular boundary value problems
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by Othmar Koch and Ewa B. Weinmüller;

Math. Comp. 72 (2003), 289-305

DOI: https://doi.org/10.1090/S0025-5718-01-01407-7

Published electronically: December 5, 2001

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Abstract:

We investigate the convergence properties of single and multiple shooting when applied to singular boundary value problems. Particular attention is paid to the well-posedness of the process. It is shown that boundary value problems can be solved efficiently when a high order integrator for the associated singular initial value problems is available. Moreover, convergence results for a perturbed Newton iteration are discussed.

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