Lamberti, Paola; Saponaro, Antonia Multilevel quadratic spline quasi-interpolation. (English) Zbl 1433.65017 Appl. Math. Comput. 373, Article ID 125047, 17 p. (2020). MSC: 65D07 41A15 41A25 65D15 41A63 65D05 PDF BibTeX XML Cite \textit{P. Lamberti} and \textit{A. Saponaro}, Appl. Math. Comput. 373, Article ID 125047, 17 p. (2020; Zbl 1433.65017) Full Text: DOI
Dagnino, Catterina; Remogna, Sara; Sablonnière, Paul Error bounds on the approximation of functions and partial derivatives by quadratic spline quasi-interpolants on non-uniform criss-cross triangulations of a rectangular domain. (English) Zbl 1281.65019 BIT 53, No. 1, 87-109 (2013). Reviewer: Charis Harley (Johannesburg) MSC: 65D05 65D25 41A05 41A63 65D07 PDF BibTeX XML Cite \textit{C. Dagnino} et al., BIT 53, No. 1, 87--109 (2013; Zbl 1281.65019) Full Text: DOI
Cravero, Isabella; Pittaluga, Giovanna; Sacripante, Laura An algorithm for solving linear Volterra integro-differential equations. (English) Zbl 1241.65121 Numer. Algorithms 60, No. 1, 101-114 (2012). MSC: 65R20 45D05 45J05 PDF BibTeX XML Cite \textit{I. Cravero} et al., Numer. Algorithms 60, No. 1, 101--114 (2012; Zbl 1241.65121) Full Text: DOI
Remogna, S.; Sablonnière, P. On trivariate blending sums of univariate and bivariate quadratic spline quasi-interpolants on bounded domains. (English) Zbl 1210.65025 Comput. Aided Geom. Des. 28, No. 2, 89-101 (2011). MSC: 65D05 65D07 PDF BibTeX XML Cite \textit{S. Remogna} and \textit{P. Sablonnière}, Comput. Aided Geom. Des. 28, No. 2, 89--101 (2011; Zbl 1210.65025) Full Text: DOI
Remogna, Sara Constructing good coefficient functionals for bivariate \(C ^{1}\) quadratic spline quasi-interpolants. (English) Zbl 1274.65016 Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces. 7th international conference, MMCS 2008, Tønsberg, Norway, June 26–July 1, 2008. Revised selected papers. Berlin: Springer (ISBN 978-3-642-11619-3/pbk). Lecture Notes in Computer Science 5862, 329-346 (2010). MSC: 65D05 65D07 65D17 PDF BibTeX XML Cite \textit{S. Remogna}, Lect. Notes Comput. Sci. 5862, 329--346 (2010; Zbl 1274.65016) Full Text: DOI
Lang, Feng-Gong; Wang, Ren-Hong Bivariate \(C^{1}\) cubic spline spaces with homogeneous boundary conditions over FVS triangulation. (English) Zbl 1189.65033 Comput. Math. Appl. 58, No. 3, 464-473 (2009). MSC: 65D07 41A15 PDF BibTeX XML Cite \textit{F.-G. Lang} and \textit{R.-H. Wang}, Comput. Math. Appl. 58, No. 3, 464--473 (2009; Zbl 1189.65033) Full Text: DOI
Lamberti, Paola Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains. (English) Zbl 1181.65042 BIT 49, No. 3, 565-588 (2009). Reviewer: Dumitru Acu (Sibiu) MSC: 65D32 65D07 41A15 41A55 41A63 PDF BibTeX XML Cite \textit{P. Lamberti}, BIT 49, No. 3, 565--588 (2009; Zbl 1181.65042) Full Text: DOI
Pittaluga, Giovanna; Sacripante, Laura An algorithm for solving Fredholm integro-differential equations. (English) Zbl 1162.65064 Numer. Algorithms 50, No. 2, 115-126 (2009). MSC: 65R20 45J05 PDF BibTeX XML Cite \textit{G. Pittaluga} and \textit{L. Sacripante}, Numer. Algorithms 50, No. 2, 115--126 (2009; Zbl 1162.65064) Full Text: DOI
Foucher, Françoise; Sablonnière, Paul Approximating partial derivatives of first and second order by quadratic spline quasi-interpolants on uniform meshes. (English) Zbl 1135.65315 Math. Comput. Simul. 77, No. 2-3, 202-208 (2008). MSC: 65D25 65D05 65D07 PDF BibTeX XML Cite \textit{F. Foucher} and \textit{P. Sablonnière}, Math. Comput. Simul. 77, No. 2--3, 202--208 (2008; Zbl 1135.65315) Full Text: DOI
Wang, Ren-Hong; Li, Chong-Jun Bivariate quartic spline spaces and quasi-interpolation operators. (English) Zbl 1088.41011 J. Comput. Appl. Math. 190, No. 1-2, 325-338 (2006). Reviewer: H. P. Dikshit (New Delhi) MSC: 41A15 PDF BibTeX XML Cite \textit{R.-H. Wang} and \textit{C.-J. Li}, J. Comput. Appl. Math. 190, No. 1--2, 325--338 (2006; Zbl 1088.41011) Full Text: DOI
Dagnino, Catterina; Lamberti, Paola Some performances of local bivariate quadratic \(C^1\) quasi-interpolating splines on nonuniform type-2 triangulations. (English) Zbl 1065.65012 J. Comput. Appl. Math. 173, No. 1, 21-37 (2005). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D07 41A25 65D10 41A15 41A63 PDF BibTeX XML Cite \textit{C. Dagnino} and \textit{P. Lamberti}, J. Comput. Appl. Math. 173, No. 1, 21--37 (2005; Zbl 1065.65012) Full Text: DOI
Dagnino, C.; Lamberti, Paola On the approximation power of bivariate quadratic \(C^1\) splines. (English) Zbl 0980.41009 J. Comput. Appl. Math. 131, No. 1-2, 321-332 (2001). Reviewer: E.Deeba (Houston) MSC: 41A15 PDF BibTeX XML Cite \textit{C. Dagnino} and \textit{P. Lamberti}, J. Comput. Appl. Math. 131, No. 1--2, 321--332 (2001; Zbl 0980.41009) Full Text: DOI
Zhang, Shao-Liang; Wang, Ren-Hong; Oyanagi, Yoshio; Li, Wei A kind of bivariate cubic splines and related linear operators on type-1 triangulation. (English) Zbl 1306.41002 Japan J. Ind. Appl. Math. 17, No. 3, 391-402 (2000). MSC: 41A15 41A63 65D07 PDF BibTeX XML Cite \textit{S.-L. Zhang} et al., Japan J. Ind. Appl. Math. 17, No. 3, 391--402 (2000; Zbl 1306.41002) Full Text: DOI
Dagnino, Caterina Bivariate quasi-interpolating splines with applications in numerical integration. (English) Zbl 1012.65021 Rend. Semin. Mat. Fis. Milano 68, 231-241 (1998). Reviewer: Dan Barbosu (Baia Mare) MSC: 65D32 65D07 41A15 41A55 41A63 PDF BibTeX XML Cite \textit{C. Dagnino}, Rend. Semin. Mat. Fis. Milano 68, 231--241 (1998; Zbl 1012.65021) Full Text: DOI
Wang, Ren-Hong Multivariate spline and its applications in science and technology. (English) Zbl 0843.41008 Rend. Semin. Mat. Fis. Milano 63, 213-229 (1993). Reviewer: M.Lenard (Kuwait) MSC: 41A15 41A63 PDF BibTeX XML Cite \textit{R.-H. Wang}, Rend. Semin. Mat. Fis. Milano 63, 213--229 (1993; Zbl 0843.41008) Full Text: DOI
Grosse, Eric Approximation in VLSI simulation. (English) Zbl 0789.65004 Numer. Algorithms 5, No. 1-4, 591-601 (1993). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65D07 68W35 41A15 PDF BibTeX XML Cite \textit{E. Grosse}, Numer. Algorithms 5, No. 1--4, 591--601 (1993; Zbl 0789.65004) Full Text: DOI
Zedek, F. Lagrange interpolation by quadratic splines on a quadrilateral domain of \(\mathbb{R}^ 2\). (Interpolation de Lagrange par des splines quadratiques sur un quadrilatère de \(\mathbb{R}^ 2\).) (French. English summary) Zbl 0757.41010 RAIRO, Modélisation Math. Anal. Numér. 26, No. 5, 575-593 (1992). MSC: 41A05 41A15 PDF BibTeX XML Cite \textit{F. Zedek}, RAIRO, Modélisation Math. Anal. Numér. 26, No. 5, 575--593 (1992; Zbl 0757.41010) Full Text: DOI EuDML
Chui, C. K.; He, T. X. On minimal and quasi-minimal supported bivariate splines. (English) Zbl 0644.41007 J. Approximation Theory 52, No. 2, 217-238 (1988). Reviewer: L.Leindler MSC: 41A15 PDF BibTeX XML Cite \textit{C. K. Chui} and \textit{T. X. He}, J. Approx. Theory 52, No. 2, 217--238 (1988; Zbl 0644.41007) Full Text: DOI
Wang, Ren Hong The dimension and basis of spaces of multivariate splines. (English) Zbl 0578.41017 J. Comput. Appl. Math. 12/13, 163-177 (1985). MSC: 41A15 41A25 41A63 65D15 65D05 65D07 PDF BibTeX XML Cite \textit{R. H. Wang}, J. Comput. Appl. Math. 12/13, 163--177 (1985; Zbl 0578.41017) Full Text: DOI
Dahmen, Wolfgang; Micchelli, Charles A. On the optimal approximation rates for criss-cross finite element spaces. (English) Zbl 0538.41018 J. Comput. Appl. Math. 10, 255-273 (1984). Reviewer: C.K.Chui MSC: 41A15 41A25 PDF BibTeX XML Cite \textit{W. Dahmen} and \textit{C. A. Micchelli}, J. Comput. Appl. Math. 10, 255--273 (1984; Zbl 0538.41018) Full Text: DOI
Chui, Charles K.; Wang, Ren-Hong Multivariate spline spaces. (English) Zbl 0526.41027 J. Math. Anal. Appl. 94, 197-221 (1983). MSC: 41A65 41A15 PDF BibTeX XML Cite \textit{C. K. Chui} and \textit{R.-H. Wang}, J. Math. Anal. Appl. 94, 197--221 (1983; Zbl 0526.41027) Full Text: DOI
Chui, Charles K.; Wang, Ren-Hong Multivariate B-splines on triangulated rectangles. (English) Zbl 0523.41008 J. Math. Anal. Appl. 92, 533-551 (1983). MSC: 41A15 PDF BibTeX XML Cite \textit{C. K. Chui} and \textit{R.-H. Wang}, J. Math. Anal. Appl. 92, 533--551 (1983; Zbl 0523.41008) Full Text: DOI