{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,10,17]],"date-time":"2022-10-17T11:10:08Z","timestamp":1666005008850},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2018,3,26]],"date-time":"2018-03-26T00:00:00Z","timestamp":1522022400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100007136","name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n","doi-asserted-by":"publisher","award":["MTM2015-64382-P"],"award-info":[{"award-number":["MTM2015-64382-P"]}],"id":[{"id":"10.13039\/501100007136","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007136","name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n","doi-asserted-by":"publisher","award":["MTM2015-64382-P"],"award-info":[{"award-number":["MTM2015-64382-P"]}],"id":[{"id":"10.13039\/501100007136","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007136","name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n","doi-asserted-by":"publisher","award":["MTM2015-64382-P"],"award-info":[{"award-number":["MTM2015-64382-P"]}],"id":[{"id":"10.13039\/501100007136","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007801","name":"Fundaci\u00f3n S\u00e9neca","doi-asserted-by":"publisher","award":["Beca Jim\u00e9nez de la Espada"],"award-info":[{"award-number":["Beca Jim\u00e9nez de la Espada"]}],"id":[{"id":"10.13039\/100007801","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007801","name":"Fundaci\u00f3n S\u00e9neca","doi-asserted-by":"publisher","award":["19374\/PI714"],"award-info":[{"award-number":["19374\/PI714"]}],"id":[{"id":"10.13039\/100007801","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007801","name":"Fundaci\u00f3n S\u00e9neca","doi-asserted-by":"publisher","award":["19374\/PI714"],"award-info":[{"award-number":["19374\/PI714"]}],"id":[{"id":"10.13039\/100007801","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007801","name":"Fundaci\u00f3n S\u00e9neca","doi-asserted-by":"publisher","award":["19374\/PI714"],"award-info":[{"award-number":["19374\/PI714"]}],"id":[{"id":"10.13039\/100007801","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2019,3]]},"DOI":"10.1007\/s11075-018-0511-5","type":"journal-article","created":{"date-parts":[[2018,3,25]],"date-time":"2018-03-25T23:18:59Z","timestamp":1522019939000},"page":"903-936","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On an algorithm to adapt spline approximations to the presence of discontinuities"],"prefix":"10.1007","volume":"80","author":[{"given":"Sergio","family":"Amat","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan","family":"Ruiz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan C.","family":"Trillo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,3,26]]},"reference":[{"issue":"4","key":"511_CR1","doi-asserted-by":"publisher","first-page":"1324","DOI":"10.1016\/j.cam.2010.01.017","volume":"234","author":"A Abbadi","year":"2010","unstructured":"Abbadi, A., Barrera, D., Ib\u00e1\u00f1ez, M.J., Sbibih, D.: A general method for constructing quasi-interpolants from B-splines. J. Comput. Appl. Math. 234(4), 1324\u20131337 (2010)","journal-title":"J. Comput. Appl. Math."},{"key":"511_CR2","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1016\/j.cam.2015.03.051","volume":"287","author":"X Han","year":"2015","unstructured":"Han, X.: Convexity-preserving approximation by univariate cubic splines. J. Comput. Appl. Math. 287, 196\u2013206 (2015)","journal-title":"J. Comput. Appl. Math."},{"issue":"3","key":"511_CR3","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1007\/s00365-007-9002-y","volume":"28","author":"D Barrera","year":"2008","unstructured":"Barrera, D., Ib\u00e1\u00f1ez, M.J., Sablonni\u00e8re, P., Sbibih, D.: Near-best univariate spline discrete quasi-interpolants on nonuniform partitions. Constr. Approx. 28(3), 237\u2013251 (2008)","journal-title":"Constr. Approx."},{"issue":"2","key":"511_CR4","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1007\/s11075-013-9731-x","volume":"66","author":"X-P Xu","year":"2014","unstructured":"Xu, X.-P., Lang, F.-G.: Quintic B-spline method for function reconstruction from integral values of successive subintervals. Numer. Algor. 66(2), 223\u2013240 (2014)","journal-title":"Numer. Algor."},{"key":"511_CR5","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1016\/j.cagd.2016.04.006","volume":"44","author":"V Baramidze","year":"2016","unstructured":"Baramidze, V.: Smooth bivariate shape-preserving cubic spline approximation. Comput. Aided Geom. Des. 44, 36\u201355 (2016)","journal-title":"Comput. Aided Geom. Des."},{"issue":"2","key":"511_CR6","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1023\/A:1019108318920","volume":"23","author":"D Apprato","year":"2000","unstructured":"Apprato, D., Gout, C.: A result about scale transformation families in approximation: application to surface fitting from rapidly varying data. Numer. Algor. 23(2), 263\u2013279 (2000)","journal-title":"Numer. Algor."},{"key":"511_CR7","unstructured":"Bozzini, M., Lenarduzzi, L.: Recovering a function with discontinuities from correlated data. In:: Advanced Topics in Multivariate Approximation. WSP Singapore (1996)"},{"issue":"6","key":"511_CR8","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/S0895-7177(00)00051-0","volume":"31","author":"M Bozzini","year":"2000","unstructured":"Bozzini, M., Rossini, M.: Approximating surfaces with discontinuities. Math Comput Modell 31(6), 193\u2013213 (2000)","journal-title":"Math Comput Modell"},{"issue":"1","key":"511_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/27625.27626","volume":"6","author":"TA Foley","year":"1987","unstructured":"Foley, T.A.: Weighted bicubic spline interpolation to rapidly varying data. ACM Trans. Graph. 6(1), 1\u201318 (1987)","journal-title":"ACM Trans. Graph."},{"issue":"7","key":"511_CR10","doi-asserted-by":"publisher","first-page":"873","DOI":"10.1023\/A:1007500624487","volume":"32","author":"C Gout","year":"2000","unstructured":"Gout, C., Komatitsch, D.: Surface fitting of rapidly varying data using rank coding: application to geophysical surfaces. Math. Geol. 32(7), 873\u2013888 (2000)","journal-title":"Math. Geol."},{"issue":"1","key":"511_CR11","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1007\/s11075-008-9177-8","volume":"48","author":"C Gout","year":"2008","unstructured":"Gout, C., Le Guyader, C., Romani, L., Saint-Guirons, A.-G.: Approximation of surfaces with fault(s) and\/or rapidly varying data, using a segmentation process, d\n                           m-splines and the finite element method. Numer. Algor. 48(1), 67\u201392 (2008)","journal-title":"Numer. Algor."},{"issue":"2","key":"511_CR12","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1023\/A:1019139130423","volume":"16","author":"T Gutzmer","year":"1997","unstructured":"Gutzmer, T., Iske, A.: Detection of discontinuities in scattered data approximation. Numer. Algor. 16(2), 155\u2013170 (1997)","journal-title":"Numer. Algor."},{"issue":"1","key":"511_CR13","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/0377-0427(96)00045-3","volume":"73","author":"M Parra","year":"1996","unstructured":"Parra, M., de Silanes, M., Torrens, J.: Vertical fault detection from scattered data. J Comput Appl Math 73(1), 225\u2013239 (1996)","journal-title":"J Comput Appl Math"},{"issue":"1","key":"511_CR14","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1216\/RMJ-1984-14-1-239","volume":"14","author":"K Salkauskas","year":"1984","unstructured":"Salkauskas, K.: c\n                           1 splines for interpolation of rapidly varying data. Rocky Mountain J. Math. 14(1), 239\u2013250 (1984)","journal-title":"Rocky Mountain J. Math."},{"issue":"3","key":"511_CR15","doi-asserted-by":"publisher","first-page":"1205","DOI":"10.1137\/0733060","volume":"33","author":"A Harten","year":"1996","unstructured":"Harten, A.: Multiresolution representation of data: a general framework. SIAM J. Numer. Anal. 33(3), 1205\u20131256 (1996)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"511_CR16","doi-asserted-by":"publisher","first-page":"148","DOI":"10.1016\/0021-9991(89)90226-X","volume":"83","author":"A Harten","year":"1989","unstructured":"Harten, A.: Eno schemes with subcell resolution. J. Comput. Phys. 83(1), 148\u2013184 (1989)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"511_CR17","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1137\/S0036142903426245","volume":"43","author":"F Ar\u00e0ndiga","year":"2005","unstructured":"Ar\u00e0ndiga, F., Cohen, A., Donat, R., Dyn, N.: Interpolation and approximation of piecewise smooth functions. SIAM J. Numer. Anal. 43(1), 41\u201357 (2005)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2-3","key":"511_CR18","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1023\/A:1019104118012","volume":"23","author":"F Ar\u00e0ndiga","year":"2000","unstructured":"Ar\u00e0ndiga, F., Donat, R.: Nonlinear multiscale decompositions: the approach of A. Harten. Numer. Algor. 23(2-3), 175\u2013216 (2000)","journal-title":"Numer. Algor."},{"issue":"5","key":"511_CR19","doi-asserted-by":"publisher","first-page":"1637","DOI":"10.1016\/j.jfranklin.2011.04.001","volume":"349","author":"S Amat","year":"2012","unstructured":"Amat, S., Liandrat, J., Ruiz, J., Trillo, J.: On a compact non-extrapolating scheme for adaptive image interpolation. J. Franklin Inst. 349(5), 1637\u20131647 (2012)","journal-title":"J. Franklin Inst."},{"key":"511_CR20","unstructured":"Gerald, C.F., Wheatley, P.O.: Applied Numerical Analysis, 7th edn. Pearson\/Addison-Wesley (2004)"},{"issue":"3","key":"511_CR21","doi-asserted-by":"publisher","first-page":"334","DOI":"10.1016\/0021-9045(91)90034-8","volume":"66","author":"F Richards","year":"1991","unstructured":"Richards, F.: A Gibbs phenomenon for spline functions. J. Approx. Theory. 66(3), 334\u2013351 (1991)","journal-title":"J. Approx. Theory."},{"issue":"2","key":"511_CR22","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1016\/S0377-0427(97)00199-4","volume":"87","author":"Z Zhang","year":"1997","unstructured":"Zhang, Z., Martin, C.F.: Convergence and Gibbs\u2019 phenomenon in cubic spline interpolation of discontinuous functions. J. Comput. Appl. Math. 87(2), 359\u2013371 (1997)","journal-title":"J. Comput. Appl. Math."},{"issue":"1","key":"511_CR23","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/BF01294337","volume":"11","author":"J Foster","year":"1995","unstructured":"Foster, J., Richards, F.B.: Gibbs-wilbraham splines. Constr. Approx. 11 (1), 37\u201352 (1995)","journal-title":"Constr. Approx."},{"issue":"1\u20132","key":"511_CR24","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1016\/S0377-0427(00)00268-5","volume":"131","author":"ML Silanes de","year":"2001","unstructured":"de Silanes, M.L., Parra, M., Pasadas, M., Torrens, J.: Spline approximation of discontinuous multivariate functions from scattered data. J. Comput. Appl. Math. 131(1\u20132), 281\u2013298 (2001)","journal-title":"J. Comput. Appl. Math."},{"key":"511_CR25","volume-title":"A Practical Guide to Splines, vol. 27","author":"C Boor de","year":"1980","unstructured":"de Boor, C.: A Practical Guide to Splines, vol. 27. Springer-Verlag, New York (1980)"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-018-0511-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-018-0511-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-018-0511-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,25]],"date-time":"2019-03-25T20:52:22Z","timestamp":1553547142000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-018-0511-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,26]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["511"],"URL":"https:\/\/doi.org\/10.1007\/s11075-018-0511-5","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3,26]]},"assertion":[{"value":"2 November 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 March 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 March 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}