{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T16:02:05Z","timestamp":1776873725517,"version":"3.51.2"},"reference-count":6,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2007,12,5]],"date-time":"2007-12-05T00:00:00Z","timestamp":1196812800000},"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":[[2008,11]]},"DOI":"10.1007\/s10444-007-9051-6","type":"journal-article","created":{"date-parts":[[2007,12,6]],"date-time":"2007-12-06T11:22:43Z","timestamp":1196940163000},"page":"315-335","source":"Crossref","is-referenced-by-count":12,"title":["Bounds on the dimensions of trivariate spline spaces"],"prefix":"10.1007","volume":"29","author":[{"given":"Peter","family":"Alfeld","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Larry L.","family":"Schumaker","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2007,12,5]]},"reference":[{"key":"9051_CR1","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1137\/0733030","volume":"33","author":"P. Alfeld","year":"1996","unstructured":"Alfeld, P.: Upper and lower bounds on the dimension of multivariate spline spaces. SIAM J. Numer. Anal. 33, 571\u2013588 (1996)","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"9051_CR2","doi-asserted-by":"crossref","first-page":"889","DOI":"10.1137\/0730047","volume":"30","author":"P. Alfeld","year":"1993","unstructured":"Alfeld, P., Schumaker, L.L., Whiteley, W.: The generic dimension of the space of C 1 splines of degree d\u2009\u2265\u20098 on tetrahedral decompositions. SIAM J. Numer. Anal. 30(3), 889\u2013920 (1993)","journal-title":"SIAM J. Numer. Anal."},{"key":"9051_CR3","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511721588","volume-title":"Spline Functions on Triangulations","author":"M.-J. Lai","year":"2007","unstructured":"Lai, M.-J., Schumaker, L.L.: Spline Functions on Triangulations. Cambridge University Press, Cambridge (2007)"},{"key":"9051_CR4","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/s00365-005-0596-7","volume":"23","author":"W.W. Lau","year":"2006","unstructured":"Lau, W.W.: A lower bound for the dimension of trivariate spline spaces. Constr. Approx. 23, 23\u201331 (2006)","journal-title":"Constr. Approx."},{"key":"9051_CR5","first-page":"736","volume":"29","author":"J. Morgan","year":"1975","unstructured":"Morgan, J., Scott, R.: A nodal basis for C 1 piecewise polynomials of degree n\u2009\u2265\u20095. Math. Comp. 29, 736\u2013740 (1975)","journal-title":"Math. Comp."},{"key":"9051_CR6","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1090\/S0002-9904-1958-10168-8","volume":"64","author":"M.E. Rudin","year":"1958","unstructured":"Rudin, M.E.: A unshellable triangulation of a tetrahedron. Bull. Amer. Math. Soc. 64, 90\u201391 (1958)","journal-title":"Bull. Amer. Math. Soc."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-007-9051-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-007-9051-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-007-9051-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T13:08:10Z","timestamp":1559135290000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-007-9051-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,12,5]]},"references-count":6,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2008,11]]}},"alternative-id":["9051"],"URL":"https:\/\/doi.org\/10.1007\/s10444-007-9051-6","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,12,5]]}}}