{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T06:49:59Z","timestamp":1776840599289,"version":"3.51.2"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2006,7,1]],"date-time":"2006-07-01T00:00:00Z","timestamp":1151712000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2006,7]]},"DOI":"10.1007\/s10444-003-7609-5","type":"journal-article","created":{"date-parts":[[2006,6,27]],"date-time":"2006-06-27T13:29:35Z","timestamp":1151414975000},"page":"23-39","source":"Crossref","is-referenced-by-count":47,"title":["Wavelet bases of Hermite cubic splines on the interval"],"prefix":"10.1007","volume":"25","author":[{"given":"Rong-Qing","family":"Jia","sequence":"first","affiliation":[]},{"given":"Song-Tao","family":"Liu","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"7609_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0025-5718-1990-1023042-6","volume":"55","author":"J.H. Bramble","year":"1990","unstructured":"J.H. Bramble, J.E. Pasciak and J.C. Xu, Parallel multilevel preconditioners, Math. Comp. 55 (1990) 1\u201322.","journal-title":"Math. Comp."},{"key":"7609_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-4338-8","volume-title":"The Mathematical Theory of Finite Element Methods","author":"S.C. Brenner","year":"1994","unstructured":"S.C. Brenner and L.R. Scott, The Mathematical Theory of Finite Element Methods (Springer, New York, 1994)."},{"key":"7609_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1014273420351","volume":"16","author":"Z. Chen","year":"2002","unstructured":"Z. Chen, C.A. Micchelli and Y. Xu, Discrete wavelet Petrov\u2013Galerkin methods, Adv. Comput. Math. 16 (2002) 1\u201328.","journal-title":"Adv. Comput. Math."},{"key":"7609_CR4","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/978-3-0348-8619-2_4","volume-title":"Numerical Methods in Approximation Theory, Vol. 9","author":"C.K. Chui","year":"1992","unstructured":"C.K. Chui and E. Quak, Wavelets on a bounded interval, in: Numerical Methods in Approximation Theory, Vol. 9, eds. D. Braess and L.L. Schumaker (Birkh\u00e4user, Basel, 1992) pp. 53\u201375."},{"key":"7609_CR5","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1090\/S0002-9947-1992-1076613-3","volume":"330","author":"C.K. Chui","year":"1992","unstructured":"C.K. Chui and J.Z. Wang, On compactly supported wavelets and a duality principle, Trans. Amer. Math. Soc. 330 (1992) 903\u2013916.","journal-title":"Trans. Amer. Math. Soc."},{"key":"7609_CR6","doi-asserted-by":"crossref","DOI":"10.1017\/9781139171984","volume-title":"Introduction to Numerical Linear Algebra and Optimisation","author":"P.G. Ciarlet","year":"1989","unstructured":"P.G. Ciarlet, Introduction to Numerical Linear Algebra and Optimisation (Cambridge Univ. Press, Cambridge, 1989)."},{"key":"7609_CR7","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1006\/acha.1993.1005","volume":"1","author":"A. Cohen","year":"1993","unstructured":"A. Cohen, I. Daubechies, and P. Vial, Wavelets on the interval and fast wavelet transforms, Appl. Comput. Harmonic Anal. 1 (1993) 54\u201381.","journal-title":"Appl. Comput. Harmonic Anal."},{"key":"7609_CR8","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1007\/s003659910010","volume":"16","author":"W. Dahmen","year":"2000","unstructured":"W. Dahmen, B. Han, R.Q. Jia and A. Kunoth, Biorthogonal multiwavelets on the interval: Cubic Hermite splines, Constr. Approx. 16 (2000) 221\u2013259.","journal-title":"Constr. Approx."},{"key":"7609_CR9","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970104","volume-title":"Ten Lectures on Wavelets","author":"I. Daubechies","year":"1992","unstructured":"I. Daubechies, Ten Lectures on Wavelets (SIAM, Philadelphia, PA, 1992)."},{"key":"7609_CR10","doi-asserted-by":"crossref","first-page":"1158","DOI":"10.1137\/S0036141093256526","volume":"27","author":"G. Donovan","year":"1996","unstructured":"G. Donovan, J.S. Geronimo, D.P. Hardin and P.R. Massopust, Construction of orthogonal wavelets using fractal interpolation functions, SIAM J. Math. Anal. 27 (1996) 1158\u20131192.","journal-title":"SIAM J. Math. Anal."},{"key":"7609_CR11","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/s002110050185","volume":"73","author":"C. Heil","year":"1996","unstructured":"C. Heil, G. Strang and V. Strela, Approximation by translates of refinable functions, Numer. Math. 73 (1996) 75\u201394.","journal-title":"Numer. Math."},{"key":"7609_CR12","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/B978-0-12-438660-0.50036-4","volume-title":"Curves and Surfaces","author":"R.Q. Jia","year":"1991","unstructured":"R.Q. Jia and C.A. Micchelli, Using the refinement equations for the construction of pre-wavelets II: Powers of two, in: Curves and Surfaces, eds. P.J. Laurent, A. Le M\u00e9haut\u00e9 and L.L. Schumaker (Academic Press, New York, 1991) pp. 209\u2013246."},{"key":"7609_CR13","unstructured":"Y.J. Shen and W. Lin, A wavelet-Gelerkin method for a linear equation system with Hadamard integrals, manuscript."},{"key":"7609_CR14","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1006\/acha.1996.0013","volume":"3","author":"J.Z. Wang","year":"1996","unstructured":"J.Z. Wang, Cubic spline wavelet bases of Sobolev spaces and multilevel interpolation, Appl. Comput. Harmonic Anal. 3 (1996) 154\u2013163.","journal-title":"Appl. Comput. Harmonic Anal."},{"key":"7609_CR15","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/BF01385851","volume":"63","author":"J.-C. Xu","year":"1992","unstructured":"J.-C. Xu and W.C. Shann, Galerkin-wavelet methods for two-point boundary value problems, Numer. Math. 63 (1992) 123\u2013144.","journal-title":"Numer. Math."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-003-7609-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-003-7609-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-003-7609-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T17:08:07Z","timestamp":1559149687000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-003-7609-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,7]]},"references-count":15,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2006,7]]}},"alternative-id":["7609"],"URL":"https:\/\/doi.org\/10.1007\/s10444-003-7609-5","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,7]]}}}