The convergence of shooting methods for singular boundary value problems

• DOI: 10.1090/s0025-5718-01-01407-7
• Publication Date: 2002-11-01T14:59:50Z
• Authors: Othmar Koch; Ewa B. Weinmüller
• Keywords: 0101 mathematics; 01 natural sciences

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.