Construction of superconvergent quasi-interpolants using new normalized C 2 cubic B-splines
Tài liệu tham khảo
Abbadi, 2010, A general method for constructing quasi-interpolants from B-splines, J. Comput. Appl. Math., 234, 1324, 10.1016/j.cam.2010.01.017
Barrera, 2010, On near-best discrete quasi-interpolation on a four-directional mesh, J. Comput. Appl. Math., 233, 1470, 10.1016/j.cam.2009.02.063
Boujraf, 2015, C1 Superconvergent quasi-interpolation based on polar forms, Math. Comput. Simulation, 118, 102, 10.1016/j.matcom.2014.12.004
de Casteljau, 1985
Dierckx, 1997, On calculating normalized Powell–Sabin B-splines, Comput. Aided Geom. Des., 15, 61, 10.1016/S0167-8396(97)81785-2
Lamnii, 2017, Computation of Hermite interpolation in terms of B-spline basis using polar forms, Math. Comput. Simulation, 134, 17, 10.1016/j.matcom.2016.09.009
Rahouti, 2020, Construction of a normalized basis of a univariate quadratic C1 spline space and application to the quasi-interpolation, Bol. Soc. Paran. Mat
Ramshaw, 1989, Blossoming are polar forms, Comput. Aided Geom. Design, 6, 323, 10.1016/0167-8396(89)90032-0
Remogna, 2012, Bivariate C2 cubic spline quasi-interpolants on uniform Powell–Sabin triangulations of a rectangular domain, Adv. Comput. Math., 36, 39, 10.1007/s10444-011-9178-3
Sbibih, 2009, Polar forms and quadratic splines quasi-interpolants over Powell–Sabin triangulation, Appl. Numer. Math., 59, 938, 10.1016/j.apnum.2008.03.040
Sbibih, 2012, Normalized trivariate B-splines on Worsey-Piper split and quasi-interpolants, BIT, 52, 221, 10.1007/s10543-011-0348-y
Sbibih, 2015, Superconvergent C1 cubic spline quasi-interpolants on Powell–Sabin partitions, BIT, 55, 797, 10.1007/s10543-014-0523-z
Schmidt, 1995, An always successful method in univariate convex C2 interpolation, Numer. Math., 71, 237, 10.1007/s002110050143
Schumaker, 1983, On shape preserving quadratic spline interpolation, SIAM J. Numer. Anal., 20, 854, 10.1137/0720057
Speleers, 2010, A normalized basis for reduced Clough–Tocher splines, Comput. Aided Geom. Des., 27, 700, 10.1016/j.cagd.2010.09.003
Speleers, 2012, Construction of normalized B-splines for a family of smooth spaces over Powell–Sabin triangulations, Constr. Approx., 37, 41, 10.1007/s00365-011-9151-x
Speleers, 2013, Multivariate normalized Powell–Sabin B-splines and quasi-interpolants, Comput. Aided Geom. Design, 30, 2, 10.1016/j.cagd.2012.07.005
