{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T15:13:32Z","timestamp":1780413212274,"version":"3.54.1"},"reference-count":33,"publisher":"American Mathematical Society (AMS)","issue":"241","license":[{"start":{"date-parts":[[2002,12,5]],"date-time":"2002-12-05T00:00:00Z","timestamp":1039046400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>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.<\/p>","DOI":"10.1090\/s0025-5718-01-01407-7","type":"journal-article","created":{"date-parts":[[2002,11,1]],"date-time":"2002-11-01T09:59:50Z","timestamp":1036144790000},"page":"289-305","source":"Crossref","is-referenced-by-count":19,"title":["The convergence of shooting methods for singular boundary value problems"],"prefix":"10.1090","volume":"72","author":[{"given":"Othmar","family":"Koch","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ewa","family":"Weinm\u00fcller","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"14","published-online":{"date-parts":[[2001,12,5]]},"reference":[{"key":"1","series-title":"Classics in Applied Mathematics","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971231","volume-title":"Numerical solution of boundary value problems for ordinary differential equations","volume":"13","author":"Ascher, Uri M.","year":"1995","ISBN":"https:\/\/id.crossref.org\/isbn\/0898713544"},{"key":"2","unstructured":"W. Auzinger, O. Koch, P. Kofler, and E. Weinm\u00fcller, The application of shooting to singular boundary value problems, Techn. Rep. Nr. 126\/99, Inst. for Appl. Math. and Numer. Anal., Vienna Univ. of Technology, Austria, 1999. Available at \\url{http:\/\/fsmat.at\/ othmar\/research.html}."},{"key":"3","doi-asserted-by":"crossref","unstructured":"E. Badralexe and A. Freeman, Eigenvalue equation for a general periodic potential and its multipole expansion solution, Phys. Rev. B, 37 (1988), pp. 1067\u20131084.","DOI":"10.1103\/PhysRevB.37.1067"},{"key":"4","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1002\/cpa.3160230402","article-title":"Axisymmetric buckling of hollow spheres and hemispheres","volume":"23","author":"Bauer, Louis","year":"1970","journal-title":"Comm. Pure Appl. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0010-3640","issn-type":"print"},{"key":"5","doi-asserted-by":"crossref","unstructured":"T. Carr and T. 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