Heidari, Mohammad; Mohammadi, Maryam; De Marchi, Stefano Curvature-based characterization of radial basis functions: application to interpolation. (English) Zbl 07789899 Math. Model. Anal. 28, No. 3, 415-433 (2023). MSC: 65D05 65D12 PDFBibTeX XMLCite \textit{M. Heidari} et al., Math. Model. Anal. 28, No. 3, 415--433 (2023; Zbl 07789899) 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
Zhang, Shenggang; Zhu, Chungang; Gao, Qinjiao High accuracy B-spline quasi-interpolants and applications in numerical analysis. (English) Zbl 1512.65028 Appl. Anal. 102, No. 7, 2035-2054 (2023). MSC: 65D07 41A25 PDFBibTeX XMLCite \textit{S. Zhang} et al., Appl. Anal. 102, No. 7, 2035--2054 (2023; Zbl 1512.65028) Full Text: DOI
Askari, Maysam; Adibi, Hojatollah Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines. (English) Zbl 1524.65469 Comput. Methods Differ. Equ. 10, No. 3, 686-700 (2022). MSC: 65M20 35Q53 PDFBibTeX XMLCite \textit{M. Askari} and \textit{H. Adibi}, Comput. Methods Differ. Equ. 10, No. 3, 686--700 (2022; Zbl 1524.65469) Full Text: DOI
Wu, Ruifeng Abel-Goncharov type multiquadric quasi-interpolation operators with higher approximation order. (English) Zbl 1477.41002 J. Math. 2021, Article ID 8874668, 12 p. (2021). MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{R. Wu}, J. Math. 2021, Article ID 8874668, 12 p. (2021; Zbl 1477.41002) Full Text: DOI
Gao, Wenwu; Zhang, Xia; Zhou, Xuan Multiquadric quasi-interpolation for integral functionals. (English) Zbl 1510.65031 Math. Comput. Simul. 177, 316-328 (2020). MSC: 65D12 41A05 PDFBibTeX XMLCite \textit{W. Gao} et al., Math. Comput. Simul. 177, 316--328 (2020; Zbl 1510.65031) Full Text: DOI
Gao, Wenwu; Fasshauer, Gregory E.; Sun, Xingping; Zhou, Xuan Optimality and regularization properties of quasi-interpolation: deterministic and stochastic approaches. (English) Zbl 1487.65017 SIAM J. Numer. Anal. 58, No. 4, 2059-2078 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A05 41A63 65C05 65D10 65D15 PDFBibTeX XMLCite \textit{W. Gao} et al., SIAM J. Numer. Anal. 58, No. 4, 2059--2078 (2020; Zbl 1487.65017) Full Text: DOI
Wu, Ruifeng; Li, Huilai; Wu, Tieru Univariate Lidstone-type multiquadric quasi-interpolants. (English) Zbl 1449.41004 Comput. Appl. Math. 39, No. 3, Paper No. 141, 19 p. (2020). MSC: 41A05 65D05 65D15 PDFBibTeX XMLCite \textit{R. Wu} et al., Comput. Appl. Math. 39, No. 3, Paper No. 141, 19 p. (2020; Zbl 1449.41004) Full Text: DOI
Ghoreishi, F.; Keshavarzi, Changiz Goli Preconditioning RBF collocation method by adapted finite difference matrix. (English) Zbl 1435.65217 Adv. Comput. Math. 45, No. 5-6, 3293-3325 (2019). MSC: 65N35 65N20 65N06 35P15 15B05 35R60 35J05 65F35 PDFBibTeX XMLCite \textit{F. Ghoreishi} and \textit{C. G. Keshavarzi}, Adv. Comput. Math. 45, No. 5--6, 3293--3325 (2019; Zbl 1435.65217) Full Text: DOI
Gao, Wenwu; Wu, Zongmin Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant. (English) Zbl 1443.41010 Comput. Math. Appl. 69, No. 7, 696-707 (2015). MSC: 41A25 41A15 41A30 65D07 PDFBibTeX XMLCite \textit{W. Gao} and \textit{Z. Wu}, Comput. Math. Appl. 69, No. 7, 696--707 (2015; Zbl 1443.41010) Full Text: DOI
Gao, Wenwu; Wu, Zongmin Solving time-dependent differential equations by multiquadric trigonometric quasi-interpolation. (English) Zbl 1338.65205 Appl. Math. Comput. 253, 377-386 (2015). MSC: 65L60 PDFBibTeX XMLCite \textit{W. Gao} and \textit{Z. Wu}, Appl. Math. Comput. 253, 377--386 (2015; Zbl 1338.65205) Full Text: DOI
Gao, Feng; Chi, Chunmei Numerical solution of nonlinear Burgers’ equation using high accuracy multi-quadric quasi-interpolation. (English) Zbl 1364.65207 Appl. Math. Comput. 229, 414-421 (2014). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{F. Gao} and \textit{C. Chi}, Appl. Math. Comput. 229, 414--421 (2014; Zbl 1364.65207) Full Text: DOI
Wu, Jinming; Wang, Renhong; Zhang, Xiaolei Numerical integration based on a multilevel quartic quasi-interpolation operator. (English) Zbl 1364.65059 Appl. Math. Comput. 227, 132-138 (2014). MSC: 65D30 65D07 PDFBibTeX XMLCite \textit{J. Wu} et al., Appl. Math. Comput. 227, 132--138 (2014; Zbl 1364.65059) Full Text: DOI
Lang, Feng-Gong; Xu, Xiao-Ping Error analysis for a noisy lacunary cubic spline interpolation and a simple noisy cubic spline quasi interpolation. (English) Zbl 1307.65019 Adv. Numer. Anal. 2014, Article ID 353194, 8 p. (2014). MSC: 65D07 PDFBibTeX XMLCite \textit{F.-G. Lang} and \textit{X.-P. Xu}, Adv. Numer. Anal. 2014, Article ID 353194, 8 p. (2014; Zbl 1307.65019) Full Text: DOI
Cătinaş, Teodora Bivariate quasi-interpolation operator of Bernoulli type. (English) Zbl 1305.41001 Mediterr. J. Math. 11, No. 4, 1171-1183 (2014). MSC: 41A05 41A35 41A25 41A80 PDFBibTeX XMLCite \textit{T. Cătinaş}, Mediterr. J. Math. 11, No. 4, 1171--1183 (2014; Zbl 1305.41001) 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
Bao, Wendi; Song, Yongzhong Multiquadric quasi-interpolation methods for solving partial differential algebraic equations. (English) Zbl 1282.65111 Numer. Methods Partial Differ. Equations 30, No. 1, 95-119 (2014). MSC: 65M20 35K20 65M70 PDFBibTeX XMLCite \textit{W. Bao} and \textit{Y. Song}, Numer. Methods Partial Differ. Equations 30, No. 1, 95--119 (2014; Zbl 1282.65111) Full Text: DOI
Yu, Ren-Gui; Wang, Ren-Hong; Zhu, Chun-Gang A numerical method for solving KdV equation with multilevel B-spline quasi-interpolation. (English) Zbl 1308.65148 Appl. Anal. 92, No. 8, 1682-1690 (2013). MSC: 65M06 76B25 35Q53 PDFBibTeX XMLCite \textit{R.-G. Yu} et al., Appl. Anal. 92, No. 8, 1682--1690 (2013; Zbl 1308.65148) Full Text: DOI
Jiang, Zi-Wu; Wang, Ren-Hong Numerical solution of one-dimensional Sine-Gordon equation using high accuracy multiquadric quasi-interpolation. (English) Zbl 1242.65163 Appl. Math. Comput. 218, No. 15, 7711-7716 (2012). MSC: 65M06 35Q40 65M70 PDFBibTeX XMLCite \textit{Z.-W. Jiang} and \textit{R.-H. Wang}, Appl. Math. Comput. 218, No. 15, 7711--7716 (2012; Zbl 1242.65163) Full Text: DOI
Wu, Zongmin; Ma, Limin Generator, multiquadric generator, quasi-interpolation and multiquadric quasi-interpolation. (English) Zbl 1265.26044 Appl. Math., Ser. B (Engl. Ed.) 26, No. 4, 390-400 (2011). MSC: 26B40 41A25 41A05 47B32 65D25 PDFBibTeX XMLCite \textit{Z. Wu} and \textit{L. Ma}, Appl. Math., Ser. B (Engl. Ed.) 26, No. 4, 390--400 (2011; Zbl 1265.26044) Full Text: DOI
Jiang, Zi-Wu; Wang, Ren-Hong; Zhu, Chun-Gang; Xu, Min High accuracy multiquadric quasi-interpolation. (English) Zbl 1217.65030 Appl. Math. Modelling 35, No. 5, 2185-2195 (2011). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{Z.-W. Jiang} et al., Appl. Math. Modelling 35, No. 5, 2185--2195 (2011; Zbl 1217.65030) Full Text: DOI
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
Li, Cai-Yun; Zhu, Chun-Gang A multilevel univariate cubic spline quasi-interpolation and application to numerical integration. (English) Zbl 1193.41008 Math. Methods Appl. Sci. 33, No. 13, 1578-1586 (2010). MSC: 41A15 65D07 65D10 65D30 PDFBibTeX XMLCite \textit{C.-Y. Li} and \textit{C.-G. Zhu}, Math. Methods Appl. Sci. 33, No. 13, 1578--1586 (2010; Zbl 1193.41008) Full Text: DOI
Wang, Ren-Hong; Xu, Min; Fang, Qin A kind of improved univariate multiquadric quasi-interpolation operators. (English) Zbl 1189.65028 Comput. Math. Appl. 59, No. 1, 451-456 (2010). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{R.-H. Wang} et al., Comput. Math. Appl. 59, No. 1, 451--456 (2010; Zbl 1189.65028) Full Text: DOI
Ma, LiMin; Wu, ZongMin Stability of multiquadric quasi-interpolation to approximate high order derivatives. (English) Zbl 1191.65018 Sci. China, Math. 53, No. 4, 985-992 (2010). MSC: 65D25 PDFBibTeX XMLCite \textit{L. Ma} and \textit{Z. Wu}, Sci. China, Math. 53, No. 4, 985--992 (2010; Zbl 1191.65018) Full Text: DOI
Chen, Ronghua; Han, Xuli; Wu, Zongmin A multiquadric quasi-interpolation with linear reproducing and preserving monotonicity. (English) Zbl 1175.65021 J. Comput. Appl. Math. 231, No. 2, 517-525 (2009). Reviewer: Michael M. Pahirya (Uzhgorod) MSC: 65D05 41A05 41A45 PDFBibTeX XMLCite \textit{R. Chen} et al., J. Comput. Appl. Math. 231, No. 2, 517--525 (2009; Zbl 1175.65021) 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
Ling, Leevan Multivariate quasi-interpolation schemes for dimension-splitting multiquadric. (English) Zbl 1063.65012 Appl. Math. Comput. 161, No. 1, 195-209 (2005). MSC: 65D05 41A05 41A63 PDFBibTeX XMLCite \textit{L. Ling}, Appl. Math. Comput. 161, No. 1, 195--209 (2005; Zbl 1063.65012) Full Text: DOI
Li, Xin; Chen, C. S. A mesh-free method using hyperinterpolation and fast Fourier transform for solving differential equations. (English) Zbl 1081.65110 Eng. Anal. Bound. Elem. 28, No. 10, 1253-1260 (2004). Reviewer: Song Jiang (Beijing) MSC: 65N30 35J25 65T50 PDFBibTeX XMLCite \textit{X. Li} and \textit{C. S. Chen}, Eng. Anal. Bound. Elem. 28, No. 10, 1253--1260 (2004; Zbl 1081.65110) Full Text: DOI