Title
The convergence of shooting methods for singular boundary value problems
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.
Year
DOI
Venue
2003
10.1090/S0025-5718-01-01407-7
Math. Comput.
Keywords
Field
DocType
high order integrator,convergence property,singular boundary value problem,newton iteration,singular initial value problem,multiple shooting,convergence result,boundary value problem,particular attention,initial value problem,shooting method
Convergence (routing),Boundary value problem,Mathematical optimization,Shooting method,Well-posed problem,Mathematical analysis,Singular solution,Singular boundary method,Initial value problem,Mathematics,Newton's method
Journal
Volume
Issue
ISSN
72
241
0025-5718
Citations 
PageRank 
References 
7
1.28
1
Authors
2
Name
Order
Citations
PageRank
Othmar Koch117428.41
Ewa Weinmüller211824.75