Abstract | ||
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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 Koch | 1 | 174 | 28.41 |
Ewa Weinmüller | 2 | 118 | 24.75 |