{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T18:22:22Z","timestamp":1648578142515},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[2010,5,5]],"date-time":"2010-05-05T00:00:00Z","timestamp":1273017600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2010,11]]},"DOI":"10.1007\/s11075-010-9387-8","type":"journal-article","created":{"date-parts":[[2010,5,4]],"date-time":"2010-05-04T06:27:35Z","timestamp":1272954455000},"page":"205-221","source":"Crossref","is-referenced-by-count":3,"title":["Newton methods for a class of nonlinear hypersingular integral equations"],"prefix":"10.1007","volume":"55","author":[{"given":"Maria Rosaria","family":"Capobianco","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Giuliana","family":"Criscuolo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Junghanns","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,5,5]]},"reference":[{"key":"9387_CR1","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/0377-0427(92)90266-Z","volume":"43","author":"D Berthold","year":"1992","unstructured":"Berthold, D., Hoppe, W., Silbermann, B.: A fast algorithm for solving the generalized airfoil equation. J. Comput. Appl. Math. 43, 185\u2013219 (1992)","journal-title":"J. Comput. Appl. Math."},{"key":"9387_CR2","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/S0377-0427(96)00124-0","volume":"77","author":"MR Capobianco","year":"1997","unstructured":"Capobianco, M.R., Criscuolo, G., Junghanns, P.: A fast algorithm for Prandtl\u2019s integro-differential equation. J. Comput. Appl. Math. 77, 103\u2013128 (1997)","journal-title":"J. Comput. Appl. Math."},{"key":"9387_CR3","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1017\/S1446181100011688","volume":"42","author":"MR Capobianco","year":"2000","unstructured":"Capobianco, M.R., Criscuolo, G., Junghanns, P., Luther, U.: Uniform convergence of the collocation method for Prandtl\u2019s integro-differential equation. ANZIAM J. 42, 151\u2013168 (2000)","journal-title":"ANZIAM J."},{"key":"9387_CR4","doi-asserted-by":"crossref","unstructured":"Capobianco, M.R., Criscuolo, G., Junghanns, P.: On the numerical solution of a nonlinear integral equation of Prandtl\u2019s type. In: Operator Theory: Advances and Applications, vol. 160, pp. 53\u201379. Birkh\u00e4user Verlag, Basel\/Switzerland (2005)","DOI":"10.1007\/3-7643-7398-9_4"},{"key":"9387_CR5","unstructured":"Ervin, V.J., Stephan, E.P.: Collocation with Chebyshev polynomials for first kind integral equations on intervals. In: The Mathematics of Finite Elements and Applications, vol. VII, pp. 321\u2013329. Academic (1991)"},{"key":"9387_CR6","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/0377-0427(92)90267-2","volume":"43","author":"VJ Ervin","year":"1992","unstructured":"Ervin, V.J., Stephan, E.P.: Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval. J. Comput. Appl. Math. 43, 221\u2013229 (1992)","journal-title":"J. Comput. Appl. Math."},{"key":"9387_CR7","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1137\/0150042","volume":"50","author":"M Hori","year":"1990","unstructured":"Hori, M., Nemat-Nasser, S.: Asymptotic solution of a class of strongly singular integral equations. SIAM J. Appl. Math. 50, 716\u2013725 (1990)","journal-title":"SIAM J. Appl. Math."},{"key":"9387_CR8","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1007\/BF01295569","volume":"45","author":"NI Ioakimidis","year":"1982","unstructured":"Ioakimidis, N.I.: Application of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity. Acta Mech. 45, 31\u201347 (1982)","journal-title":"Acta Mech."},{"key":"9387_CR9","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0377-0427(94)90017-5","volume":"55","author":"P Junghanns","year":"1994","unstructured":"Junghanns, P.: Numerical analysis of Newton projection methods for nonlinear singular integral equations. J. Comput. Appl. Math 55 , 145\u2013163(1994)","journal-title":"J. Comput. Appl. Math"},{"key":"9387_CR10","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1016\/S0377-0427(99)00117-X","volume":"115","author":"P Junghanns","year":"2000","unstructured":"Junghanns, P., M\u00fcller, K.: A collocation method for nonlinear Cauchy singular integral equations. J. Comput. Appl. Math 115, 283\u2013300 (2000)","journal-title":"J. Comput. Appl. Math"},{"key":"9387_CR11","doi-asserted-by":"crossref","unstructured":"Junghanns, P., M\u00fcller, K., Rost, K.: On collocation methods for nonlinear Cauchy singular integral equations. In: Operator Theory: Advances and Aplications, vol. 35, pp. 209\u2013233. Birkh\u00e4user Verlag, Switzerland (2002)","DOI":"10.1007\/978-3-0348-8199-9_13"},{"key":"9387_CR12","first-page":"31","volume":"45","author":"AC Kaya","year":"1982","unstructured":"Kaya, A.C., Erdorgan, F.: On the solution of integral equations with strong singularities. Q. Appl. Math. 45, 31\u201347 (1982)","journal-title":"Q. Appl. Math."},{"key":"9387_CR13","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/0167-6636(87)90015-9","volume":"6","author":"S Nemat-Nasser","year":"1987","unstructured":"Nemat-Nasser, S., Hori, M.: Toughening by partial or full gridging of cracks in ceramics and fiber reinforced composites. Mech. Mater. 6, 245\u2013269 (1987)","journal-title":"Mech. Mater."},{"key":"9387_CR14","first-page":"741","volume":"XLVIII","author":"S Nemat-Nasser","year":"1990","unstructured":"Nemat-Nasser, S., Willis, J.R.: Singular perturbation solution of a class of singular integral equations. Q. Appl. Math. XLVIII, 741\u2013753 (1990)","journal-title":"Q. Appl. Math."},{"key":"9387_CR15","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1002\/mana.19931610109","volume":"161","author":"D Oestreich","year":"1993","unstructured":"Oestreich, D.: Approximated solution of a nonlinear singular equation of Prandtl\u2019s type. Math. Nachr. 161, 95\u2013105 (1993)","journal-title":"Math. Nachr."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-010-9387-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-010-9387-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-010-9387-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T05:08:15Z","timestamp":1559365695000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-010-9387-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,5,5]]},"references-count":15,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2010,11]]}},"alternative-id":["9387"],"URL":"https:\/\/doi.org\/10.1007\/s11075-010-9387-8","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,5,5]]}}}