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On stable local bases for bivariate polynomial splines
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Constr. Approx.
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Super spline spaces of smoothness r and degree d ≥ 3r + 2
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Ibrahim, A., Schumaker, L. L., Super spline spaces of smoothness r and degree d ≥ 3r + 2, Constr. Approx., 7(1991), 401-423. MR 92k:41017
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Approximation order from certain spaces of smooth bivariate splines on a three-direction mesh
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Jia, R. Q., Approximation order from certain spaces of smooth bivariate splines on a three-direction mesh, Trans. Amer. Math. Soc., 295(1986), 199-212. MR 88d:41018
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P.-J. Laurent, A. Le Méhauté, and L. L. Schumaker (eds.), Vanderbilt Univ. Press (Nashville) CMP 91:17
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r-triangular finite elements of PS type on a three direction mesh, (Curves and Surfaces), P.-J. Laurent, A. Le Méhauté, and L. L. Schumaker (eds.), Vanderbilt Univ. Press (Nashville), 1991, 275-278. CMP 91:17
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Laghchim-Lahlou, M.1
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r-finite elements of Powell-Sabin type on the three direction mesh
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r-finite elements of Powell-Sabin type on the three direction mesh, Advances in Comp. Math., 6(1996), 191-206. MR 97j:65031
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r-fundamental splines of Clough-Tocher and Powell-Sabin types for Lagrange interpolation on a three-direction mesh
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MR 99j:65015
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r-fundamental splines of Clough-Tocher and Powell-Sabin types for Lagrange interpolation on a three-direction mesh, Advances in Comp. Math., 8(1998), 353-366. MR 99j:65015
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2 quintic spline functions over triangulations of Powell-Sabin's type
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MR 98a:41002
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2 quintic spline functions over triangulations of Powell-Sabin's type, J. Comput. Appl. Math., 73(1996), 135-155. MR 98a:41002
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On the approximation power of bivariate splines
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Lai, M.-J., Schumaker, L. L., On the approximation power of bivariate splines, Advances in Comp. Math., 9(1998), 251-279. MR 2000b:41010
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On the approximation power of splines on triangulated quad-rangulations
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Lai, M.-J., Schumaker, L. L., On the approximation power of splines on triangulated quad-rangulations, SIAM J. Numer. Anal., 36(1999), 143-159. MR 99h:41014
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Macro-elements and stable local bases for spaces of splines on Clough-Tocher triangulations
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Lai, M.-J., Schumaker, L. L., Macro-elements and stable local bases for spaces of splines on Clough-Tocher triangulations, Numerische Math., to appear.
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Numerische Math.
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Piecewise quadratic approximations on triangles
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Powell, M. J. D., Sabin, M. A., Piecewise quadratic approximations on triangles, ACM Trans. Math. Software, 3(1977), 316-325. MR 58:3319
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Topics in Multivariate Approximation
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Sablonnière, P.1
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Error bounds for hermite interpolation by quadratic splines on an α-triangulation
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MR 90a:65029
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Sablonnière, P., Error bounds for Hermite interpolation by quadratic splines on an α - triangulation, IMA J. Numer. Anal., 7(1987), 495-508. MR 90a:65029
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