Fang, Lincong; Han, Bin; Shen, Yi Quasi-interpolating bivariate dual \(\sqrt{ 2}\)-subdivision using 1D stencils. (English) Zbl 07596220 Comput. Aided Geom. Des. 98, Article ID 102139, 18 p. (2022). MSC: 65Dxx PDFBibTeX XMLCite \textit{L. Fang} et al., Comput. Aided Geom. Des. 98, Article ID 102139, 18 p. (2022; Zbl 07596220) Full Text: DOI
Mustafa, Ghulam; Ejaz, Syeda Tehmina; Baleanu, Dumitru; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy A subdivision-based approach for singularly perturbed boundary value problem. (English) Zbl 1482.65124 Adv. Difference Equ. 2020, Paper No. 282, 20 p. (2020). MSC: 65L11 65L10 PDFBibTeX XMLCite \textit{G. Mustafa} et al., Adv. Difference Equ. 2020, Paper No. 282, 20 p. (2020; Zbl 1482.65124) Full Text: DOI
Sierra Lorenzo, Maibys; León Mecías, Angela; Álvarez Escudero, Lourdes Solving shallow water equations by the sparse point representation method. (English) Zbl 1473.65120 Rev. Invest. Oper. 39, No. 1, 54-66 (2018). MSC: 65M06 76M20 PDFBibTeX XMLCite \textit{M. Sierra Lorenzo} et al., Rev. Invest. Oper. 39, No. 1, 54--66 (2018; Zbl 1473.65120) Full Text: Link
Novara, Paola; Romani, Lucia On the interpolating 5-point ternary subdivision scheme: a revised proof of convexity-preservation and an application-oriented extension. (English) Zbl 07316208 Math. Comput. Simul. 147, 194-209 (2018). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{P. Novara} and \textit{L. Romani}, Math. Comput. Simul. 147, 194--209 (2018; Zbl 07316208) Full Text: DOI
Rehan, Kashif; Sabri, Muhammad Athar A combined ternary 4-point subdivision scheme. (English) Zbl 1410.65041 Appl. Math. Comput. 276, 278-283 (2016). MSC: 65D10 41A05 41A10 41A25 65D17 PDFBibTeX XMLCite \textit{K. Rehan} and \textit{M. A. Sabri}, Appl. Math. Comput. 276, 278--283 (2016; Zbl 1410.65041) Full Text: DOI
Rehan, Kashif; Siddiqi, Shahid S. A combined binary 6-point subdivision scheme. (English) Zbl 1410.65051 Appl. Math. Comput. 270, 130-135 (2015). MSC: 65D17 65D10 PDFBibTeX XMLCite \textit{K. Rehan} and \textit{S. S. Siddiqi}, Appl. Math. Comput. 270, 130--135 (2015; Zbl 1410.65051) Full Text: DOI
Rehan, Kashif; Siddiqi, Shahid S. A family of ternary subdivision schemes for curves. (English) Zbl 1410.65050 Appl. Math. Comput. 270, 114-123 (2015). MSC: 65D17 41A05 65D10 PDFBibTeX XMLCite \textit{K. Rehan} and \textit{S. S. Siddiqi}, Appl. Math. Comput. 270, 114--123 (2015; Zbl 1410.65050) Full Text: DOI
Aslam, Muhammad \(C^1\)-continuity of \(3\)-point nonlinear ternary interpolating subdivision schemes. (English) Zbl 1337.65016 Int. J. Numer. Methods Appl. 14, No. 2, 119-132 (2015). MSC: 65D17 65D05 PDFBibTeX XMLCite \textit{M. Aslam}, Int. J. Numer. Methods Appl. 14, No. 2, 119--132 (2015; Zbl 1337.65016) Full Text: DOI Link
Aslam, Muhammad 3-point nonlinear ternary interpolating subdivision schemes. (English) Zbl 1329.41002 Int. J. Appl. Math. 28, No. 4, 403-413 (2015). MSC: 41A05 41A10 65D17 65D05 PDFBibTeX XMLCite \textit{M. Aslam}, Int. J. Appl. Math. 28, No. 4, 403--413 (2015; Zbl 1329.41002) Full Text: DOI
Mustafa, Ghulam; Ashraf, Pakeeza; Deng, Jiansong Generalized and unified families of interpolating subdivision schemes. (English) Zbl 1324.65015 Numer. Math., Theory Methods Appl. 7, No. 2, 193-213 (2014). MSC: 65D05 65D17 65Y20 PDFBibTeX XMLCite \textit{G. Mustafa} et al., Numer. Math., Theory Methods Appl. 7, No. 2, 193--213 (2014; Zbl 1324.65015) Full Text: DOI
Siddiqi, Shahid S.; Rehan, Kashif Symmetric ternary interpolating \(C^1\) subdivision scheme. (English) Zbl 1262.65028 Int. Math. Forum 7, No. 45-48, 2269-2277 (2012). Reviewer: Jong Hyuk Park (Ulsan) MSC: 65D17 65D10 65D05 PDFBibTeX XMLCite \textit{S. S. Siddiqi} and \textit{K. Rehan}, Int. Math. Forum 7, No. 45--48, 2269--2277 (2012; Zbl 1262.65028) Full Text: Link
Mustafa, Ghulam; Rehman, Najma Abdul The mask of (\(2b + 4\))-point \(n\)-ary subdivision scheme. (English) Zbl 1200.65012 Computing 90, No. 1-2, 1-14 (2010). MSC: 65D17 65D07 65D05 PDFBibTeX XMLCite \textit{G. Mustafa} and \textit{N. A. Rehman}, Computing 90, No. 1--2, 1--14 (2010; Zbl 1200.65012) Full Text: DOI
Harizanov, S.; Oswald, P. Stability of nonlinear subdivision and multiscale transforms. (English) Zbl 1225.65028 Constr. Approx. 31, No. 3, 359-393 (2010). Reviewer: Francesc Arandiga Llaudes (Burjassot) MSC: 65D18 65T50 26A16 65T60 PDFBibTeX XMLCite \textit{S. Harizanov} and \textit{P. Oswald}, Constr. Approx. 31, No. 3, 359--393 (2010; Zbl 1225.65028) Full Text: DOI
Cai, Zhijie Convexity preservation of the interpolating four-point \(C^{2}\) ternary stationary subdivision scheme. (English) Zbl 1205.65071 Comput. Aided Geom. Des. 26, No. 5, 560-565 (2009). MSC: 65D17 65D05 41A05 PDFBibTeX XMLCite \textit{Z. Cai}, Comput. Aided Geom. Des. 26, No. 5, 560--565 (2009; Zbl 1205.65071) Full Text: DOI
Faheem, K.; Mustafa, G. Ternary six-point interpolating subdivision scheme. (English) Zbl 1221.65045 Lobachevskii J. Math. 29, No. 3, 153-163 (2008). Reviewer: H. P. Dikshit (Bhopal) MSC: 65D17 PDFBibTeX XMLCite \textit{K. Faheem} and \textit{G. Mustafa}, Lobachevskii J. Math. 29, No. 3, 153--163 (2008; Zbl 1221.65045) Full Text: DOI
Ko, Kwan Pyo; Lee, Byung-Gook; Yoon, Gang Joon A ternary 4-point approximating subdivision scheme. (English) Zbl 1144.65012 Appl. Math. Comput. 190, No. 2, 1563-1573 (2007). Reviewer: Luis Felipe Tabera Alonso (Madrid) MSC: 65D18 PDFBibTeX XMLCite \textit{K. P. Ko} et al., Appl. Math. Comput. 190, No. 2, 1563--1573 (2007; Zbl 1144.65012) Full Text: DOI
Nielsen, Morten On polynomial symbols for subdivision schemes. (English) Zbl 1130.65044 Adv. Comput. Math. 27, No. 2, 195-209 (2007). Reviewer: Luis Felipe Tabera Alonso (Madrid) MSC: 65D18 65T60 42A05 PDFBibTeX XMLCite \textit{M. Nielsen}, Adv. Comput. Math. 27, No. 2, 195--209 (2007; Zbl 1130.65044) Full Text: DOI Link
Holmström, Mats Solving hyperbolic PDEs using interpolating wavelets. (English) Zbl 0959.65109 SIAM J. Sci. Comput. 21, No. 2, 405-420 (1999). Reviewer: Batmanathan D.Reddy (Rondebosch) MSC: 65M60 65M20 65M06 65T60 35L45 35Q53 PDFBibTeX XMLCite \textit{M. Holmström}, SIAM J. Sci. Comput. 21, No. 2, 405--420 (1999; Zbl 0959.65109) Full Text: DOI
De Marchi, S.; Morandi Cecchi, M. Can irregular subdivisions preserve convexity? (English) Zbl 0843.65007 Singh, S. P. (ed.) et al., Approximation theory, wavelets and applications. Proceedings of the NATO Advanced Study Institute on recent developments in approximation theory, wavelets and applications, Maratea, Italy, May 16-26, 1994. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 325-334 (1995). MSC: 65D05 52B55 41A29 PDFBibTeX XMLCite \textit{S. De Marchi} and \textit{M. Morandi Cecchi}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 325--334 (1995; Zbl 0843.65007)