{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,26]],"date-time":"2025-07-26T08:55:55Z","timestamp":1753520155662},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540080695"},{"type":"electronic","value":"9783540374961"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1977]]},"DOI":"10.1007\/bfb0086562","type":"book-chapter","created":{"date-parts":[[2006,11,24]],"date-time":"2006-11-24T08:38:09Z","timestamp":1164357489000},"page":"14-37","source":"Crossref","is-referenced-by-count":13,"title":["Blending interpolation schemes on triangles with error bounds"],"prefix":"10.1007","author":[{"given":"K.","family":"B\u00f6hmer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gh.","family":"Coman","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,10,2]]},"reference":[{"key":"3_CR1","doi-asserted-by":"publisher","first-page":"114","DOI":"10.1016\/0021-9045(73)90020-8","volume":"8","author":"R.E. Barnhill","year":"1973","unstructured":"R.E. Barnhill, G. Birkhoff, W.J. Gordon, Smooth interpolation in triangles, J. Approx. Theory, 8 (1973), 114\u2013128.","journal-title":"J. Approx. Theory"},{"key":"3_CR2","doi-asserted-by":"publisher","first-page":"306","DOI":"10.1016\/0021-9045(74)90002-1","volume":"11","author":"R.E. Barnhill","year":"1974","unstructured":"R.E. Barnhill, L. Mansfield, Error bounds for smooth interpolation in triangles. J. Approx. Theory, 11 (1974), 306\u2013318.","journal-title":"J. Approx. Theory"},{"unstructured":"R.E. Barnhill, J.A. Gregory, Sard kernel theorems on triangular and rectangular domains with extensions and applications to finite element error bounds. Technical Report Nr. 11, Department of Mathematics, Brunel University, 1972.","key":"3_CR3"},{"key":"3_CR4","doi-asserted-by":"publisher","first-page":"531","DOI":"10.1016\/0022-247X(74)90006-7","volume":"47","author":"G. Birkhoff","year":"1974","unstructured":"G. Birkhoff, L. Mansfield, Compatible triangular finite elements. J. Math. Anal. Appl. 47 (1974), 531\u2013553.","journal-title":"J. Math. Anal. Appl."},{"key":"3_CR5","volume-title":"Spline Funktionen, eine Einf\u00fchrung in Theorie und Anwendungen","author":"K. B\u00f6hmer","year":"1974","unstructured":"K. B\u00f6hmer, Spline Funktionen, eine Einf\u00fchrung in Theorie und Anwendungen. Teubner Verlag, Stuttgart, 1974."},{"unstructured":"K. B\u00f6hmer-Gh. Coman, Smooth interpolation schemes in triangles with error bounds, to appear in Mathematica (Cluj).","key":"3_CR6"},{"key":"3_CR7","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1002\/sapm1962411212","volume":"41","author":"C. Boor de","year":"1962","unstructured":"C. de Boor, Bicubic spline interpolation, J. Math. Phys., 41 (1962), 212\u2013218.","journal-title":"J. Math. Phys."},{"key":"3_CR8","doi-asserted-by":"publisher","first-page":"809","DOI":"10.1090\/S0025-5718-1970-0282540-0","volume":"24","author":"J.H. Bramble","year":"1970","unstructured":"J.H. Bramble, M. Zl\u00e1mal, Triangular elements in the finite element method. Math. Comp., 24 (1970), 809\u2013820.","journal-title":"Math. Comp."},{"key":"3_CR9","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1016\/0021-9045(73)90031-2","volume":"8","author":"R.E. Carlson","year":"1973","unstructured":"R.E. Carlson, C.A. Hall, Bicubic spline interpolation in L-shaped domains. J. Approx. Theory, 8 (1973), 62\u201368.","journal-title":"J. Approx. Theory"},{"key":"3_CR10","series-title":"Technical Summary Report","volume-title":"Multivariate approximation schemes and the approximation of linear functionals","author":"G. Coman","year":"1974","unstructured":"Gh. Coman, Multivariate approximation schemes and the approximation of linear functionals. Technical Summary Report Nr. 1254, Mathematics Research Center, University of Wisconsin, Madison, Wisconsin, 1974."},{"key":"3_CR11","first-page":"223","volume-title":"Approximation with Special Emphasis on Splines","author":"W.I. Gordon","year":"1969","unstructured":"W.I. Gordon, Distributive lattices and the approximation of multivariate functions. Approximation with Special Emphasis on Splines, pp. 223\u2013277 (I.J. Schoenberg, Ed.), Academic Press, New York, 1969."},{"key":"3_CR12","first-page":"1","volume":"19","author":"C.A. Hall","year":"1969","unstructured":"C.A. Hall, Bicubic interpolation over triangles. J. Math. Mech., 19 (1969), 1\u201311.","journal-title":"J. Math. Mech."},{"key":"3_CR13","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1016\/0021-9045(72)90029-9","volume":"5","author":"B.L. Hulme","year":"1972","unstructured":"B.L. Hulme, A new bicubic interpolation over right triangles. J. Approx. Theory, 5 (1972), 66\u201373.","journal-title":"J. Approx. Theory"},{"key":"3_CR14","first-page":"146","volume":"18","author":"S. Koukal","year":"1973","unstructured":"S. Koukal, Piecewise polynomial interpolations in the finite element method. Aplikace Matematiky, 18 (1973), 146\u2013160.","journal-title":"Aplikace Matematiky"},{"doi-asserted-by":"crossref","unstructured":"G.A. Sard, Linear Approximation. American Mathematical Society, Providence, R.I., 1963.","key":"3_CR15","DOI":"10.1090\/surv\/009"},{"key":"3_CR16","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1007\/BF02165119","volume":"15","author":"A. \u017deni\u0161ek","year":"1970","unstructured":"A. \u017deni\u0161ek, Interpolation polynomials on the triangle. Numer. Math. 15 (1970), 283\u2013296.","journal-title":"Numer. Math."}],"container-title":["Lecture Notes in Mathematics","Constructive Theory of Functions of Several Variables"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BFb0086562","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,2,14]],"date-time":"2019-02-14T19:29:34Z","timestamp":1550172574000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BFb0086562"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1977]]},"ISBN":["9783540080695","9783540374961"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/bfb0086562","relation":{},"ISSN":["0075-8434","1617-9692"],"issn-type":[{"type":"print","value":"0075-8434"},{"type":"electronic","value":"1617-9692"}],"subject":[],"published":{"date-parts":[[1977]]}}}