{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T11:09:51Z","timestamp":1760267391767,"version":"3.37.3"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","funder":[{"DOI":"10.13039\/501100002341","name":"Academy of Finland","doi-asserted-by":"crossref","award":["250215"],"award-info":[{"award-number":["250215"]}],"id":[{"id":"10.13039\/501100002341","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This work\ndeals with the numerical computation of the inverse Born approximation associated with inverse scattering problems for the nonlinear Schr\u00f6dinger equation in two space dimensions. We consider both backscattering and fixed angle data. The problem of computing the Born approximation is formulated as a linear inverse problem which is solved using a regularization method. Numerical examples with noisy data are given to illustrate the effectiveness of this method.<\/jats:p>","DOI":"10.1515\/cmam-2015-0032","type":"journal-article","created":{"date-parts":[[2015,11,17]],"date-time":"2015-11-17T17:00:54Z","timestamp":1447779654000},"page":"133-143","source":"Crossref","is-referenced-by-count":5,"title":["Numerical Computation of the Inverse Born Approximation\nfor the Nonlinear Schr\u00f6dinger Equation in Two Dimensions"],"prefix":"10.1515","volume":"16","author":[{"given":"Markus","family":"Harju","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, PO Box 3000, 90014 University of Oulu, Finland"}]}],"member":"374","published-online":{"date-parts":[[2015,11,17]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/16\/1\/article-p133.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0032\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0032\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T21:33:37Z","timestamp":1680298417000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0032\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,17]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2016,1,1]]},"published-print":{"date-parts":[[2016,1,1]]}},"alternative-id":["10.1515\/cmam-2015-0032"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2015-0032","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"type":"electronic","value":"1609-9389"},{"type":"print","value":"1609-4840"}],"subject":[],"published":{"date-parts":[[2015,11,17]]}}}