{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T16:38:06Z","timestamp":1773247086321,"version":"3.50.1"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[2004,12,8]],"date-time":"2004-12-08T00:00:00Z","timestamp":1102464000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[2005,8]]},"DOI":"10.1007\/s00607-004-0095-x","type":"journal-article","created":{"date-parts":[[2004,12,8]],"date-time":"2004-12-08T07:27:38Z","timestamp":1102490858000},"page":"197-213","source":"Crossref","is-referenced-by-count":9,"title":["Numerical Recovery of Conductivity at the Boundary from the Localized Dirichlet to Neumann Map"],"prefix":"10.1007","volume":"75","author":[{"given":"G.","family":"Nakamura","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Siltanen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Tanuma","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2004,12,8]]},"reference":[{"key":"95_CR1","unstructured":"Astala, K., P\u00e4iv\u00e4rinta, L.: Calder\u00f3n\u2019s inverse conductivity problem in the plane. University of Helsinki Department of Mathematics, Preprint 370, September 2003."},{"key":"95_CR2","doi-asserted-by":"crossref","unstructured":"Borcea, L.: Electrical impedance tomography. Inverse Problems 18, R99\u2013R136 (2002).","DOI":"10.1088\/0266-5611\/18\/6\/201"},{"key":"95_CR3","doi-asserted-by":"crossref","unstructured":"Borcea, L.: Addendum to \u2018\u2018Electrical Impedance Tomography\u2019\u2019. Inverse Problems 19, 997\u2013998 (2002).","DOI":"10.1088\/0266-5611\/19\/4\/501"},{"key":"95_CR4","doi-asserted-by":"crossref","unstructured":"Brown, B. H., Barber, D. C., Seagar, A. D.: Applied potential tomography: possible clinical applications. Clin. Phys. Physiol. Meas. 6, 109\u2013121 (1985).","DOI":"10.1088\/0143-0815\/6\/2\/002"},{"key":"95_CR5","doi-asserted-by":"crossref","unstructured":"Brown, R. M.: Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result, J. Inverse and Ill-posed Prob. 9, 567\u2013574 (2001).","DOI":"10.1515\/jiip.2001.9.6.567"},{"key":"95_CR6","doi-asserted-by":"crossref","unstructured":"Brown, R. M., Uhlmann, G.: Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions. Communications in Partial Differential Equations 22, 1009\u20131027 (1997).","DOI":"10.1080\/03605309708821292"},{"key":"95_CR7","unstructured":"Calder\u00f3n, A. P.: On an inverse boundary value problem. In: Seminar on Numerical Analysis and its Applications to Continuum Physics. Soc. Brasileira de Matem\u00e0tica pp. 65\u201373 (1980)."},{"key":"95_CR8","doi-asserted-by":"crossref","unstructured":"Cheney, M., Isaacson, D., Newell, J. C.: Electrical impedance tomography. SIAM Rev. 41, 85\u2013101 (1999).","DOI":"10.1137\/S0036144598333613"},{"key":"95_CR9","doi-asserted-by":"crossref","unstructured":"Cheng, K.-S., Isaacson, D., Newell, J. C., Gisser, D. G.: Electrode models for electric current computed tomography. IEEE Trans. on Biomedical Imaging, pp. 918\u2013924 (1989).","DOI":"10.1109\/10.35300"},{"key":"95_CR10","unstructured":"Hecht, F., Pironneau, O., Ohtsuka, K.: Freefem++ Manual, http:\/\/www.ann.jussieu.fr\/\u2009hecht\/freefem++.htm 2003."},{"key":"95_CR11","unstructured":"Isaacson, D., Mueller, J. L., Newell, J. C., Siltanen, S.: Reconstructions of chest phantoms by the d-bar method for electrical impedance tomography. (submitted)."},{"key":"95_CR12","doi-asserted-by":"crossref","unstructured":"Kang, H., Yun, K.: Boundary determination of conductivities and Riemannian metrics via local Dirichlet-to-Neumann operator. SIAM J. Math. Anal. 34, 719\u2013735 (2003).","DOI":"10.1137\/S0036141001395042"},{"key":"95_CR13","unstructured":"Knudsen, K.: On the inverse conductivity problem, Ph.D. thesis, Aalborg University (2002)."},{"key":"95_CR14","doi-asserted-by":"crossref","unstructured":"Knudsen, K.: A new direct method for reconstructing isotropic conductivities in the plane. Physiol. Meas. 24, 391\u2013401 (2003).","DOI":"10.1088\/0967-3334\/24\/2\/351"},{"key":"95_CR15","unstructured":"Knudsen, K., Tamasan, A.: Reconstruction of less regular conductivities in the plane, MSRI Preprint 2001\u2013035 (2001)."},{"key":"95_CR16","doi-asserted-by":"crossref","unstructured":"Mueller, J. L., Siltanen, S.: Direct reconstructions of conductivities from boundary measurements. SIAM J. Sci. Comput. 24, 1232\u20131266 (2003).","DOI":"10.1137\/S1064827501394568"},{"key":"95_CR17","doi-asserted-by":"crossref","unstructured":"Nachman, A. I.: Global uniqueness for a two-dimensional inverse boundary value problem. Ann Math. 143, 71\u201396 (1996).","DOI":"10.2307\/2118653"},{"key":"95_CR18","doi-asserted-by":"crossref","unstructured":"Nakamura, G., Tanuma, K.: Local determination of conductivity at the boundary from the Dirichlet-to-Neumann map. Inverse Problems 17, 405\u2013419 (2001).","DOI":"10.1088\/0266-5611\/17\/3\/303"},{"key":"95_CR19","unstructured":"Nakamura, G., Tanuma, K.: Direct determination of the derivatives of conductivity at the boundary from the localized Dirichlet to Neumann map. Comm. Korean Math. Soc. 16, 415\u2013425 (2001)."},{"key":"95_CR20","doi-asserted-by":"crossref","unstructured":"Nakamura, G., Tanuma, K.: Formulas for reconstructing conductivity and its normal derivative at the boundary from the localized Dirichlet to Neumann map. In: Recent Development in Theories and Numerics. Int. Conf. on Inverse Problems (Yiu-Chung Hon, Masahiro Yamamoto, Jin Cheng, June-Yub Lee, eds.), pp. 192\u2013201, World Scientific (2003).","DOI":"10.1142\/9789812704924_0017"},{"key":"95_CR21","unstructured":"Nakamura, G., Tanuma, K.: Formulas for reconstructing conductivity and its normal derivative at the boundary from the localized Dirichlet to Neumann map (preprint)."},{"key":"95_CR22","doi-asserted-by":"crossref","unstructured":"Siltanen, S., Mueller, J. L., Isaacson, D.: An implementation of the reconstruction algorithm of A. Nachman for the 2-D inverse conductivity problem. Inverse Problems 16, 681\u2013699 (2000).","DOI":"10.1088\/0266-5611\/16\/3\/310"},{"key":"95_CR23","doi-asserted-by":"crossref","unstructured":"Somersalo, E., Cheney, M., Isaacson, D.: Existence and uniqueness for electrode models for electric current computed tomography. SIAM J. Appl. Math. 52, 1023\u20131040 (1992).","DOI":"10.1137\/0152060"},{"key":"95_CR24","doi-asserted-by":"crossref","unstructured":"Sylvester, J., Uhlmann, G.: Inverse boundary value problem at the boundary-continuous dependence. Comm. Pure Appl. Math. 61, 197\u2013219 (1988).","DOI":"10.1002\/cpa.3160410205"},{"key":"95_CR25","doi-asserted-by":"crossref","unstructured":"Vogel, C.: Computational methods for inverse problems. SIAM (2002).","DOI":"10.1137\/1.9780898717570"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-004-0095-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00607-004-0095-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-004-0095-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,4]],"date-time":"2020-04-04T15:08:16Z","timestamp":1586012896000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00607-004-0095-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,12,8]]},"references-count":25,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2005,8]]}},"alternative-id":["95"],"URL":"https:\/\/doi.org\/10.1007\/s00607-004-0095-x","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,12,8]]}}}