Zheng, Sanpeng; Feng, Renzhong; Huang, Aitong An outlier detection and recovery method based on moving least squares quasi-interpolation scheme and \(\text{ł}_0\)-minimization problem. (English) Zbl 1525.62028 Appl. Math. Modelling 122, 127-150 (2023). MSC: 62H30 65K99 PDFBibTeX XMLCite \textit{S. Zheng} et al., Appl. Math. Modelling 122, 127--150 (2023; Zbl 1525.62028) Full Text: DOI
Sharon, Nir; Cohen, Rafael Sherbu; Wendland, Holger On multiscale quasi-interpolation of scattered scalar- and manifold-valued functions. (English) Zbl 1523.65018 SIAM J. Sci. Comput. 45, No. 5, A2458-A2482 (2023). MSC: 65D15 68T09 PDFBibTeX XMLCite \textit{N. Sharon} et al., SIAM J. Sci. Comput. 45, No. 5, A2458--A2482 (2023; Zbl 1523.65018) Full Text: DOI arXiv
Yu, Dansheng; Cao, Feilong Approximation by a class of neural network operators on scattered data. (English) Zbl 07775945 Math. Methods Appl. Sci. 45, No. 12, 7652-7662 (2022). MSC: 41A25 41A05 41A27 41A28 PDFBibTeX XMLCite \textit{D. Yu} and \textit{F. Cao}, Math. Methods Appl. Sci. 45, No. 12, 7652--7662 (2022; Zbl 07775945) Full Text: DOI
Bracco, Cesare; Giannelli, Carlotta; Großmann, David; Imperatore, Sofia; Mokriš, Dominik; Sestini, Alessandra THB-spline approximations for turbine blade design with local B-spline approximations. (English) Zbl 1507.65041 Barrera, Domingo (ed.) et al., Mathematical and computational methods for modelling, approximation and simulation. Selected papers based on the presentations at the lectures presented at the international conference, MACMAS 2019, Granada, Spain, September 9–11, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 29, 63-82 (2022). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{C. Bracco} et al., SEMA SIMAI Springer Ser. 29, 63--82 (2022; Zbl 1507.65041) Full Text: DOI arXiv
Gao, Wenwu; Sun, Xingping; Wu, Zongmin; Zhou, Xuan Multivariate Monte Carlo approximation based on scattered data. (English) Zbl 1489.65020 SIAM J. Sci. Comput. 42, No. 4, A2262-A2280 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A65 65C05 65D10 65D15 PDFBibTeX XMLCite \textit{W. Gao} et al., SIAM J. Sci. Comput. 42, No. 4, A2262--A2280 (2020; Zbl 1489.65020) Full Text: DOI
Grošelj, Jan Argyris type quasi-interpolation of optimal approximation order. (English) Zbl 1505.65025 Comput. Aided Geom. Des. 79, Article ID 101836, 10 p. (2020). MSC: 65D07 41A15 65D05 PDFBibTeX XMLCite \textit{J. Grošelj}, Comput. Aided Geom. Des. 79, Article ID 101836, 10 p. (2020; Zbl 1505.65025) Full Text: DOI
Feng, Renzhong; Song, Lifang Rational quasi-interpolation approximation of scattered data in \(\mathbb{R}^3\). (English) Zbl 1413.41001 Numer. Math., Theory Methods Appl. 11, No. 1, 169-186 (2018). MSC: 41A05 41A25 PDFBibTeX XMLCite \textit{R. Feng} and \textit{L. Song}, Numer. Math., Theory Methods Appl. 11, No. 1, 169--186 (2018; Zbl 1413.41001) Full Text: DOI
Bracco, Cesare; Giannelli, Carlotta; Großmann, David; Sestini, Alessandra Adaptive fitting with THB-splines: error analysis and industrial applications. (English) Zbl 1505.65022 Comput. Aided Geom. Des. 62, 239-252 (2018). MSC: 65D07 41A15 65D17 PDFBibTeX XMLCite \textit{C. Bracco} et al., Comput. Aided Geom. Des. 62, 239--252 (2018; Zbl 1505.65022) Full Text: DOI
Feng, Renzhong; Peng, Shun Quasi-interpolation scheme for arbitrary dimensional scattered data approximation based on natural neighbors and RBF interpolation. (English) Zbl 1376.65009 J. Comput. Appl. Math. 329, 95-105 (2018). MSC: 65D05 PDFBibTeX XMLCite \textit{R. Feng} and \textit{S. Peng}, J. Comput. Appl. Math. 329, 95--105 (2018; Zbl 1376.65009) Full Text: DOI
Bracco, Cesare; Giannelli, Carlotta; Sestini, Alessandra Adaptive scattered data fitting by extension of local approximations to hierarchical splines. (English) Zbl 1366.65014 Comput. Aided Geom. Des. 52-53, 90-105 (2017). MSC: 65D10 65D07 65F20 PDFBibTeX XMLCite \textit{C. Bracco} et al., Comput. Aided Geom. Des. 52--53, 90--105 (2017; Zbl 1366.65014) Full Text: DOI arXiv
Buhmann, Martin D.; Dai, Feng Compression using quasi-interpolation. (English) Zbl 1381.41006 Jaen J. Approx. 7, No. 2, 203-230 (2015). Reviewer: Peter Massopust (München) MSC: 41A15 41A30 65D15 41A05 65D05 PDFBibTeX XMLCite \textit{M. D. Buhmann} and \textit{F. Dai}, Jaen J. Approx. 7, No. 2, 203--230 (2015; Zbl 1381.41006)
Chen, Zhixiang; Cao, Feilong; Li, Ming Scattered data quasi-interpolation on spheres. (English) Zbl 1326.41002 Math. Methods Appl. Sci. 38, No. 12, 2527-2536 (2015). MSC: 41A05 41A17 41A25 41A63 PDFBibTeX XMLCite \textit{Z. Chen} et al., Math. Methods Appl. Sci. 38, No. 12, 2527--2536 (2015; Zbl 1326.41002) Full Text: DOI
Gruberger, Nira; Levin, David Basis functions for scattered data quasi-interpolation. (English) Zbl 1360.65048 Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 8th international conference, Paris, France, June 12–18, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-22803-7/pbk; 978-3-319-22804-4/ebook). Lecture Notes in Computer Science 9213, 263-271 (2015). MSC: 65D05 65D07 PDFBibTeX XMLCite \textit{N. Gruberger} and \textit{D. Levin}, Lect. Notes Comput. Sci. 9213, 263--271 (2015; Zbl 1360.65048) Full Text: DOI
Schumaker, Larry L. Spline functions. Computational methods. (English) Zbl 1333.65018 Other Titles in Applied Mathematics 142. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-389-1/hbk; 978-1-61197-390-7/ebook). xii, 413 p. (2015). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D07 65D10 65-02 65D05 41A05 41A15 PDFBibTeX XMLCite \textit{L. L. Schumaker}, Spline functions. Computational methods. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2015; Zbl 1333.65018) Full Text: DOI
Wu, Jinming A new multiquadric quasi-interpolation operator with interpolation property. (English) Zbl 1296.65019 Math. Methods Appl. Sci. 37, No. 11, 1593-1601 (2014). MSC: 65D05 65D10 PDFBibTeX XMLCite \textit{J. Wu}, Math. Methods Appl. Sci. 37, No. 11, 1593--1601 (2014; Zbl 1296.65019) Full Text: DOI
Lin, Shaobo; Cao, Feilong; Chang, Xiangyu; Xu, Zongben A general radial quasi-interpolation operator on the sphere. (English) Zbl 1259.41007 J. Approx. Theory 164, No. 10, 1402-1414 (2012). Reviewer: Aurelian Bejancu (Safat) MSC: 41A05 41A63 PDFBibTeX XMLCite \textit{S. Lin} et al., J. Approx. Theory 164, No. 10, 1402--1414 (2012; Zbl 1259.41007) Full Text: DOI
Liu, Shengjun; Wang, Charlie C. L. Quasi-interpolation for surface reconstruction from scattered data with radial basis function. (English) Zbl 1250.65026 Comput. Aided Geom. Des. 29, No. 7, 435-447 (2012). MSC: 65D17 65D05 PDFBibTeX XMLCite \textit{S. Liu} and \textit{C. C. L. Wang}, Comput. Aided Geom. Des. 29, No. 7, 435--447 (2012; Zbl 1250.65026) Full Text: DOI
Yoon, Jungho Quasi-interpolatory approximation scheme for multivariate scattered data. (English) Zbl 1234.41005 J. Appl. Math. Inform. 29, No. 3-4, 713-719 (2011). MSC: 41A05 41A25 41A30 41A63 41A65 65D15 PDFBibTeX XMLCite \textit{J. Yoon}, J. Appl. Math. Inform. 29, No. 3--4, 713--719 (2011; Zbl 1234.41005)
Feng, Renzhong; Zhou, Xun A kind of multiquadric quasi-interpolation operator satisfying any degree polynomial reproduction property to scattered data. (English) Zbl 1202.65014 J. Comput. Appl. Math. 235, No. 5, 1502-1514 (2011). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65D05 PDFBibTeX XMLCite \textit{R. Feng} and \textit{X. Zhou}, J. Comput. Appl. Math. 235, No. 5, 1502--1514 (2011; Zbl 1202.65014) Full Text: DOI
Ibáñez, M. J.; Lamnii, A.; Mraoui, H.; Sbibih, D. Construction of spherical spline quasi-interpolants based on blossoming. (English) Zbl 1203.65026 J. Comput. Appl. Math. 234, No. 1, 131-145 (2010). Reviewer: Aurelian Bejancu (Safat) MSC: 65D05 65D07 65D17 41A15 92C55 65D10 PDFBibTeX XMLCite \textit{M. J. Ibáñez} et al., J. Comput. Appl. Math. 234, No. 1, 131--145 (2010; Zbl 1203.65026) Full Text: DOI
Le Gia, Q. T.; Mhaskar, H. N. Localized linear polynomial operators and quadrature formulas on the sphere. (English) Zbl 1190.65039 SIAM J. Numer. Anal. 47, No. 1, 440-466 (2009). Reviewer: Dan Bārbosu (Baia Mare) MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{Q. T. Le Gia} and \textit{H. N. Mhaskar}, SIAM J. Numer. Anal. 47, No. 1, 440--466 (2009; Zbl 1190.65039) Full Text: DOI arXiv
Lanzara, Flavia; Schmidt, Gunther Cubature of integral operators by approximate quasi-interpolation. (English) Zbl 1182.41018 Cialdea, Alberto (ed.) et al., Analysis, partial differential equations and applications. The Vladimir Maz’ya anniversary volume. Selected papers of the international workshop, Rome, Italy, June 30–July 3, 2008. Basel: Birkhäuser (ISBN 978-3-7643-9897-2/hbk; 978-3-7643-9898-9/ebook). Operator Theory: Advances and Applications 193, 129-142 (2009). MSC: 41A30 41A63 41A25 PDFBibTeX XMLCite \textit{F. Lanzara} and \textit{G. Schmidt}, Oper. Theory: Adv. Appl. 193, 129--142 (2009; Zbl 1182.41018)
Lamnii, A.; Mraoui, H.; Sbibih, D.; Zidna, A. A multiresolution method for fitting scattered data on the sphere. (English) Zbl 1187.65012 BIT 49, No. 3, 589-610 (2009). Reviewer: Nicoleta Breaz (Alba Iulia) MSC: 65D10 65D05 65D07 65T60 65D18 PDFBibTeX XMLCite \textit{A. Lamnii} et al., BIT 49, No. 3, 589--610 (2009; Zbl 1187.65012) Full Text: DOI
Ma, Limin; Wu, Zongmin Approximation to the \(k\)-th derivatives by multiquadric quasi-interpolation method. (English) Zbl 1236.65020 J. Comput. Appl. Math. 231, No. 2, 925-932 (2009). MSC: 65D25 65D05 PDFBibTeX XMLCite \textit{L. Ma} and \textit{Z. Wu}, J. Comput. Appl. Math. 231, No. 2, 925--932 (2009; Zbl 1236.65020) Full Text: DOI
Feng, Renzhong; Li, Feng A shape-preserving quasi-interpolation operator satisfying quadratic polynomial reproduction property to scattered data. (English) Zbl 1161.41002 J. Comput. Appl. Math. 225, No. 2, 594-601 (2009). Reviewer: Ljubiša Kocić (Niš) MSC: 41A05 65D05 41A25 PDFBibTeX XMLCite \textit{R. Feng} and \textit{F. Li}, J. Comput. Appl. Math. 225, No. 2, 594--601 (2009; Zbl 1161.41002) Full Text: DOI
Lanzara, F.; Maz’ya, V.; Schmidt, Gunther Approximate approximations with data on a perturbed uniform grid. (English) Zbl 1148.41018 Z. Anal. Anwend. 27, No. 3, 323-338 (2008). MSC: 41A30 65D15 41A63 41A25 PDFBibTeX XMLCite \textit{F. Lanzara} et al., Z. Anal. Anwend. 27, No. 3, 323--338 (2008; Zbl 1148.41018) Full Text: DOI Link
Lanzara, Flavia; Maz’ya, Vladimir; Schmidt, G. Approximate approximations on nonuniform grids. (English) Zbl 1142.41006 Matematiche 62, No. 2, 303-318 (2007). Reviewer: Kai Diethelm (Braunschweig) MSC: 41A30 65D15 41A63 41A25 PDFBibTeX XMLCite \textit{F. Lanzara} et al., Matematiche 62, No. 2, 303--318 (2007; Zbl 1142.41006)
Lanzara, F.; Maz’ya, V.; Schmidt, G. Approximate approximations from scattered data. (English) Zbl 1119.41015 J. Approximation Theory 145, No. 2, 141-170 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 41A30 65D15 41A63 41A25 PDFBibTeX XMLCite \textit{F. Lanzara} et al., J. Approx. Theory 145, No. 2, 141--170 (2007; Zbl 1119.41015) Full Text: DOI arXiv
Ganesh, M.; Mhaskar, H. N. Quadrature-free quasi-interpolation on the sphere. (English) Zbl 1160.42301 ETNA, Electron. Trans. Numer. Anal. 25, 101-114 (2006). MSC: 42A15 65D32 33C55 PDFBibTeX XMLCite \textit{M. Ganesh} and \textit{H. N. Mhaskar}, ETNA, Electron. Trans. Numer. Anal. 25, 101--114 (2006; Zbl 1160.42301) Full Text: EuDML Link
Wu, Zongmin Dynamical knot and shape parameter setting for simulating shock wave by using multi-quadric quasi-interpolation. (English) Zbl 1182.76933 Eng. Anal. Bound. Elem. 29, No. 4, 354-358 (2005). MSC: 76M25 76L05 PDFBibTeX XMLCite \textit{Z. Wu}, Eng. Anal. Bound. Elem. 29, No. 4, 354--358 (2005; Zbl 1182.76933) Full Text: DOI
Wu, Zong Min; Liu, Jian Ping Generalized Strang-Fix condition for scattered data quasi-interpolation. (English) Zbl 1068.65028 Adv. Comput. Math. 23, No. 1-2, 201-214 (2005). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D10 41A63 41A25 65D05 PDFBibTeX XMLCite \textit{Z. M. Wu} and \textit{J. P. Liu}, Adv. Comput. Math. 23, No. 1--2, 201--214 (2005; Zbl 1068.65028) Full Text: DOI
Wu, Zongmin Dynamically knots setting in meshless method for solving time-dependent propagations equation. (English) Zbl 1060.76633 Comput. Methods Appl. Mech. Eng. 193, No. 12-14, 1221-1229 (2004). MSC: 76M25 76D99 PDFBibTeX XMLCite \textit{Z. Wu}, Comput. Methods Appl. Mech. Eng. 193, No. 12--14, 1221--1229 (2004; Zbl 1060.76633) Full Text: DOI