Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Zerroudi, Benaissa Fast and accurate scattered Hermite interpolation by triangular Shepard operators. (English) Zbl 07241419 J. Comput. Appl. Math. 382, Article ID 113092, 14 p. (2021). MSC: 65D05 65D15 41A10 41A20 PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., J. Comput. Appl. Math. 382, Article ID 113092, 14 p. (2021; Zbl 07241419) Full Text: DOI
Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Siar, Najoua Rational Hermite interpolation on six-tuples and scattered data. (English) Zbl 07323480 Appl. Math. Comput. 386, Article ID 125452, 10 p. (2020). MSC: 00 PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., Appl. Math. Comput. 386, Article ID 125452, 10 p. (2020; Zbl 07323480) Full Text: DOI
Tuo, Rui; Wang, Wenjia Kriging prediction with isotropic Matérn correlations: robustness and experimental designs. (English) Zbl 07306883 J. Mach. Learn. Res. 21, Paper No. 187, 38 p. (2020). MSC: 68T05 PDF BibTeX XML Cite \textit{R. Tuo} and \textit{W. Wang}, J. Mach. Learn. Res. 21, Paper No. 187, 38 p. (2020; Zbl 07306883) Full Text: Link
Le Borne, Sabine; Wende, Michael Multilevel interpolation of scattered data using \(\mathcal{H}\)-matrices. (English) Zbl 07290713 Numer. Algorithms 85, No. 4, 1175-1193 (2020). MSC: 65D05 41A05 65F08 65F10 65N55 PDF BibTeX XML Cite \textit{S. Le Borne} and \textit{M. Wende}, Numer. Algorithms 85, No. 4, 1175--1193 (2020; Zbl 07290713) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra; Dell’Accio, Francesco; Di Tommaso, Filomena A 3D efficient procedure for Shepard interpolants on tetrahedra. (English) Zbl 07249914 Sergeyev, Yaroslav D. (ed.) et al., Numerical computations: theory and algorithms. Third international conference, NUMTA 2019, Crotone, Italy, June 15–21, 2019. Revised selected papers. Part I. Cham: Springer (ISBN 978-3-030-39080-8/pbk; 978-3-030-39081-5/ebook). Lecture Notes in Computer Science 11973, 27-34 (2020). MSC: 65 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., Lect. Notes Comput. Sci. 11973, 27--34 (2020; Zbl 07249914) Full Text: DOI
Karvonen, Toni; Wynne, George; Tronarp, Filip; Oates, Chris; Särkkä, Simo Maximum likelihood estimation and uncertainty quantification for Gaussian process approximation of deterministic functions. (English) Zbl 07242141 SIAM/ASA J. Uncertain. Quantif. 8, 926-958 (2020). MSC: 60G15 62G20 68T37 65D05 46E22 PDF BibTeX XML Cite \textit{T. Karvonen} et al., SIAM/ASA J. Uncertain. Quantif. 8, 926--958 (2020; Zbl 07242141) Full Text: DOI
Glaubitz, Jan Stable high order quadrature rules for scattered data and general weight functions. (English) Zbl 07236289 SIAM J. Numer. Anal. 58, No. 4, 2144-2164 (2020). MSC: 65D30 65D32 41A55 42C05 PDF BibTeX XML Cite \textit{J. Glaubitz}, SIAM J. Numer. Anal. 58, No. 4, 2144--2164 (2020; Zbl 07236289) Full Text: DOI
Gao, Wenwu; Sun, Xingping; Wu, Zongmin; Zhou, Xuan Multivariate Monte Carlo approximation based on scattered data. (English) Zbl 07228313 SIAM J. Sci. Comput. 42, No. 4, A2262-A2280 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A05 41A63 41A65 65C05 65D10 65D15 PDF BibTeX XML Cite \textit{W. Gao} et al., SIAM J. Sci. Comput. 42, No. 4, A2262--A2280 (2020; Zbl 07228313) Full Text: DOI
Buhmann, Martin; Jäger, Janin Pólya-type criteria for conditional strict positive definiteness of functions on spheres. (English) Zbl 1446.41001 J. Approx. Theory 257, Article ID 105440, 18 p. (2020). Reviewer: Peter Massopust (München) MSC: 41A05 42A82 PDF BibTeX XML Cite \textit{M. Buhmann} and \textit{J. Jäger}, J. Approx. Theory 257, Article ID 105440, 18 p. (2020; Zbl 1446.41001) Full Text: DOI
De Marchi, S.; Marchetti, F.; Perracchione, E. Jumping with variably scaled discontinuous kernels (VSDKs). (English) Zbl 07209368 BIT 60, No. 2, 441-463 (2020); correction ibid. 60, No. 2, 539-540 (2020). MSC: 65D05 65D15 41A05 41A25 PDF BibTeX XML Cite \textit{S. De Marchi} et al., BIT 60, No. 2, 441--463 (2020; Zbl 07209368) Full Text: DOI
Buhmann, Martin; Jäger, Janin Multiply monotone functions for radial basis function interpolation: extensions and new kernels. (English) Zbl 1441.41001 J. Approx. Theory 256, Article ID 105434, 21 p. (2020). Reviewer: Francisco Marcellán (Leganes) MSC: 41A05 41A63 42A82 PDF BibTeX XML Cite \textit{M. Buhmann} and \textit{J. Jäger}, J. Approx. Theory 256, Article ID 105434, 21 p. (2020; Zbl 1441.41001) Full Text: DOI
Grošelj, Jan Argyris type quasi-interpolation of optimal approximation order. (English) Zbl 07200760 Comput. Aided Geom. Des. 79, Article ID 101836, 10 p. (2020). MSC: 65D PDF BibTeX XML Cite \textit{J. Grošelj}, Comput. Aided Geom. Des. 79, Article ID 101836, 10 p. (2020; Zbl 07200760) Full Text: DOI
Vlachkova, Krassimira Interpolation of scattered data in \(\mathbb{R}^3\) using minimum \(L_p\)-norm networks, \(1 < p < \infty \). (English) Zbl 07178226 J. Math. Anal. Appl. 485, No. 2, Article ID 123824, 10 p. (2020). MSC: 65D05 PDF BibTeX XML Cite \textit{K. Vlachkova}, J. Math. Anal. Appl. 485, No. 2, Article ID 123824, 10 p. (2020; Zbl 07178226) Full Text: DOI
Cavoretto, R.; De Rossi, A.; Dell’Accio, F.; Di Tommaso, F. An efficient trivariate algorithm for tetrahedral Shepard interpolation. (English) Zbl 07174111 J. Sci. Comput. 82, No. 3, Paper No. 57, 15 p. (2020). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65D05 65D15 41A05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Sci. Comput. 82, No. 3, Paper No. 57, 15 p. (2020; Zbl 07174111) Full Text: DOI
Dell’Accio, Francesco; Di Tommaso, Filomena On the hexagonal Shepard method. (English) Zbl 1453.65030 Appl. Numer. Math. 150, 51-64 (2020). Reviewer: Roberto Cavoretto (Torino) MSC: 65D05 41A05 41A10 41A63 PDF BibTeX XML Cite \textit{F. Dell'Accio} and \textit{F. Di Tommaso}, Appl. Numer. Math. 150, 51--64 (2020; Zbl 1453.65030) Full Text: DOI
Zheng, Sanpeng; Feng, Renzhong; Huang, Aitong A modified moving least-squares suitable for scattered data fitting with outliers. (English) Zbl 07169481 J. Comput. Appl. Math. 370, Article ID 112655, 20 p. (2020). MSC: 65D15 33F05 65D10 65D07 PDF BibTeX XML Cite \textit{S. Zheng} et al., J. Comput. Appl. Math. 370, Article ID 112655, 20 p. (2020; Zbl 07169481) Full Text: DOI
Le Borne, Sabine; Wende, Michael Domain decomposition methods in scattered data interpolation with conditionally positive definite radial basis functions. (English) Zbl 1442.65405 Comput. Math. Appl. 77, No. 4, 1178-1196 (2019). MSC: 65N35 65D10 PDF BibTeX XML Cite \textit{S. Le Borne} and \textit{M. Wende}, Comput. Math. Appl. 77, No. 4, 1178--1196 (2019; Zbl 1442.65405) Full Text: DOI
Fan, Jianqing; Wang, Dong; Wang, Kaizheng; Zhu, Ziwei Distributed estimation of principal eigenspaces. (English) Zbl 1450.62067 Ann. Stat. 47, No. 6, 3009-3031 (2019). Reviewer: Flavia-Corina Mitroi-Symeonidis (Bucureşti) MSC: 62H25 62E10 60E15 68T05 62R07 62G32 PDF BibTeX XML Cite \textit{J. Fan} et al., Ann. Stat. 47, No. 6, 3009--3031 (2019; Zbl 1450.62067) Full Text: DOI Euclid arXiv
Le Borne, Sabine; Wende, Michael Iterative solution of Saddle-point systems from radial basis function (RBF) interpolation. (English) Zbl 1420.65023 SIAM J. Sci. Comput. 41, No. 3, A1706-A1732 (2019). MSC: 65F08 65F10 65D05 41A05 PDF BibTeX XML Cite \textit{S. Le Borne} and \textit{M. Wende}, SIAM J. Sci. Comput. 41, No. 3, A1706--A1732 (2019; Zbl 1420.65023) Full Text: DOI
Hussain, Maria; Hussain, Malik Zawwar; Saeed, Iqra Convexity-preserving scattered data interpolation scheme using side-vertex method. (English) Zbl 07078978 Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 60, 25 p. (2019). MSC: 68U05 65D05 65D07 65D18 PDF BibTeX XML Cite \textit{M. Hussain} et al., Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 60, 25 p. (2019; Zbl 07078978) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra; Dell’Accio, Francesco; Di Tommaso, Filomena Fast computation of triangular Shepard interpolants. (English) Zbl 1431.65011 J. Comput. Appl. Math. 354, 457-470 (2019). MSC: 65D05 65D15 41A05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Comput. Appl. Math. 354, 457--470 (2019; Zbl 1431.65011) Full Text: DOI
Oates, Chris J.; Cockayne, Jon; Briol, François-Xavier; Girolami, Mark Convergence rates for a class of estimators based on Stein’s method. (English) Zbl 07049402 Bernoulli 25, No. 2, 1141-1159 (2019). MSC: 60F05 62G08 PDF BibTeX XML Cite \textit{C. J. Oates} et al., Bernoulli 25, No. 2, 1141--1159 (2019; Zbl 07049402) Full Text: DOI Euclid arXiv
Liu, Wei; Wang, Baiyu A modified approximate method based on Gaussian radial basis functions. (English) Zbl 07014429 Eng. Anal. Bound. Elem. 100, 256-264 (2019). MSC: 65 41 PDF BibTeX XML Cite \textit{W. Liu} and \textit{B. Wang}, Eng. Anal. Bound. Elem. 100, 256--264 (2019; Zbl 07014429) Full Text: DOI
Cotronei, Mariantonia (ed.); Pelosi, Francesca (ed.); Romani, Lucia (ed.); Sestini, Alessandra (ed.) SMART 2017. Second conference on subdivision, geometric and algebraic methods, isogeometric analysis and refinability in Italy. (English) Zbl 1445.00024 J. Comput. Appl. Math. 349, 207-211 (2019). MSC: 00B25 65-06 PDF BibTeX XML Cite \textit{M. Cotronei} (ed.) et al., J. Comput. Appl. Math. 349, 207--211 (2019; Zbl 1445.00024) Full Text: DOI
Diederichs, Benedikt; Iske, Armin Improved estimates for condition numbers of radial basis function interpolation matrices. (English) Zbl 1407.41003 J. Approx. Theory 238, 38-51 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 65D05 PDF BibTeX XML Cite \textit{B. Diederichs} and \textit{A. Iske}, J. Approx. Theory 238, 38--51 (2019; Zbl 1407.41003) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra; Qiao, Hanli Topology analysis of global and local RBF transformations for image registration. (English) Zbl 07316200 Math. Comput. Simul. 147, 52-72 (2018). MSC: 00 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., Math. Comput. Simul. 147, 52--72 (2018; Zbl 07316200) Full Text: DOI
Zhang, Jingyue; Xu, Yingxiang; Xue, Pengxiang Approximated definite radial basis interpolation for multi-variables scattered data. (Chinese. English summary) Zbl 1438.41012 J. Numer. Methods Comput. Appl. 39, No. 4, 253-264 (2018). MSC: 41A15 65D05 PDF BibTeX XML Cite \textit{J. Zhang} et al., J. Numer. Methods Comput. Appl. 39, No. 4, 253--264 (2018; Zbl 1438.41012)
Zhang, Kewei; Crooks, Elaine; Orlando, Antonio Compensated convexity methods for approximations and interpolations of sampled functions in Euclidean spaces: applications to contour lines, sparse data, and inpainting. (English) Zbl 1419.90088 SIAM J. Imaging Sci. 11, No. 4, 2368-2428 (2018). MSC: 90C25 90C26 49J52 52A41 65K10 PDF BibTeX XML Cite \textit{K. Zhang} et al., SIAM J. Imaging Sci. 11, No. 4, 2368--2428 (2018; Zbl 1419.90088) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{R. Feng} and \textit{L. Song}, Numer. Math., Theory Methods Appl. 11, No. 1, 169--186 (2018; Zbl 1413.41001) Full Text: DOI
Ling, Leevan; Ye, Qi On meshfree numerical differentiation. (English) Zbl 1415.65053 Anal. Appl., Singap. 16, No. 5, 717-739 (2018). MSC: 65D25 PDF BibTeX XML Cite \textit{L. Ling} and \textit{Q. Ye}, Anal. Appl., Singap. 16, No. 5, 717--739 (2018; Zbl 1415.65053) Full Text: DOI
Ahmad, Masood; Siraj-ul-Islam Meshless analysis of parabolic interface problems. (English) Zbl 1403.65081 Eng. Anal. Bound. Elem. 94, 134-152 (2018). MSC: 65M70 35J05 PDF BibTeX XML Cite \textit{M. Ahmad} and \textit{Siraj-ul-Islam}, Eng. Anal. Bound. Elem. 94, 134--152 (2018; Zbl 1403.65081) Full Text: DOI
Liu, Zhiyong Local multilevel scattered data interpolation. (English) Zbl 1403.41004 Eng. Anal. Bound. Elem. 92, 101-107 (2018). MSC: 41A30 41A05 65D05 65D10 PDF BibTeX XML Cite \textit{Z. Liu}, Eng. Anal. Bound. Elem. 92, 101--107 (2018; Zbl 1403.41004) Full Text: DOI
Barucq, Hélène; Faucher, Florian; Pham, Ha Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion. (English) Zbl 1398.65275 J. Comput. Phys. 370, 1-24 (2018). MSC: 65N21 65K10 49M15 35J05 PDF BibTeX XML Cite \textit{H. Barucq} et al., J. Comput. Phys. 370, 1--24 (2018; Zbl 1398.65275) Full Text: DOI
Francis, Bibin; Viswanath, Sanjay; Arigovindan, Muthuvel Scattered data approximation by regular grid weighted smoothing. (English) Zbl 1391.65035 Sādhanā 43, No. 1, Paper No. 5, 16 p. (2018). MSC: 65D07 62G05 65D10 94A08 65Y10 PDF BibTeX XML Cite \textit{B. Francis} et al., Sādhanā 43, No. 1, Paper No. 5, 16 p. (2018; Zbl 1391.65035) Full Text: DOI
Esmaeilbeigi, M.; Chatrabgoun, O.; Shafa, Maryam Scattered data fitting of Hermite type by a weighted meshless method. (English) Zbl 1396.65024 Adv. Comput. Math. 44, No. 3, 673-691 (2018). MSC: 65D10 65D15 65F20 PDF BibTeX XML Cite \textit{M. Esmaeilbeigi} et al., Adv. Comput. Math. 44, No. 3, 673--691 (2018; Zbl 1396.65024) Full Text: DOI
Allasia, Giampietro Remarkable Haar spaces of multivariate piecewise polynomials. (English) Zbl 1391.65030 Numer. Algorithms 78, No. 2, 661-672 (2018). MSC: 65D05 65D07 42A82 PDF BibTeX XML Cite \textit{G. Allasia}, Numer. Algorithms 78, No. 2, 661--672 (2018; Zbl 1391.65030) Full Text: DOI
Bracco, Cesare; Giannelli, Carlotta; Großmann, David; Sestini, Alessandra Adaptive Fitting with THB-splines: error analysis and industrial applications. (English) Zbl 06892792 Comput. Aided Geom. Des. 62, 239-252 (2018). MSC: 65D PDF BibTeX XML Cite \textit{C. Bracco} et al., Comput. Aided Geom. Des. 62, 239--252 (2018; Zbl 06892792) Full Text: DOI
Cavoretto, Roberto; Schneider, Teseo; Zulian, Patrick OpenCL based parallel algorithm for RBF-PUM interpolation. (English) Zbl 1383.65011 J. Sci. Comput. 74, No. 1, 267-289 (2018). MSC: 65D05 65Y05 65Y20 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Sci. Comput. 74, No. 1, 267--289 (2018; Zbl 1383.65011) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra; Perracchione, Emma Optimal selection of local approximants in RBF-PU interpolation. (English) Zbl 1383.65010 J. Sci. Comput. 74, No. 1, 1-22 (2018). MSC: 65D05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Sci. Comput. 74, No. 1, 1--22 (2018; Zbl 1383.65010) Full Text: DOI arXiv
Dell’Accio, F.; Di Tommaso, F.; Nouisser, O.; Zerroudi, B. Increasing the approximation order of the triangular Shepard method. (English) Zbl 1380.65028 Appl. Numer. Math. 126, 78-91 (2018). MSC: 65D05 41A05 41A10 41A63 PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., Appl. Numer. Math. 126, 78--91 (2018; Zbl 1380.65028) Full Text: DOI
Qian, Jiang; Wang, Fan; Zhu, Chungang Scattered data interpolation based upon bivariate recursive polynomials. (English) Zbl 1422.65030 J. Comput. Appl. Math. 329, 223-243 (2018). MSC: 65D05 PDF BibTeX XML Cite \textit{J. Qian} et al., J. Comput. Appl. Math. 329, 223--243 (2018; Zbl 1422.65030) 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 PDF BibTeX XML Cite \textit{R. Feng} and \textit{S. Peng}, J. Comput. Appl. Math. 329, 95--105 (2018; Zbl 1376.65009) Full Text: DOI
Dell’Accio, F.; Di Tommaso, F. Bivariate Shepard-Bernoulli operators. (English) Zbl 07313864 Math. Comput. Simul. 141, 65-82 (2017). MSC: 41 65 PDF BibTeX XML Cite \textit{F. Dell'Accio} and \textit{F. Di Tommaso}, Math. Comput. Simul. 141, 65--82 (2017; Zbl 07313864) Full Text: DOI
Lenarduzzi, Licia; Schaback, Robert Kernel-based adaptive approximation of functions with discontinuities. (English) Zbl 1411.65024 Appl. Math. Comput. 307, 113-123 (2017). MSC: 65D05 41A05 62H30 68T05 PDF BibTeX XML Cite \textit{L. Lenarduzzi} and \textit{R. Schaback}, Appl. Math. Comput. 307, 113--123 (2017; Zbl 1411.65024) Full Text: DOI
Fiaz, M. A.; Ashraf, M. A. Scattering from PEMC rough surface using small perturbation method. (English) Zbl 1375.78006 Waves Random Complex Media 27, No. 1, 15-27 (2017). MSC: 78A25 35B30 PDF BibTeX XML Cite \textit{M. A. Fiaz} and \textit{M. A. Ashraf}, Waves Random Complex Media 27, No. 1, 15--27 (2017; Zbl 1375.78006) Full Text: DOI
Iske, Armin; Le Borne, Sabine; Wende, Michael Hierarchical matrix approximation for kernel-based scattered data interpolation. (English) Zbl 1375.65012 SIAM J. Sci. Comput. 39, No. 5, A2287-A2316 (2017). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 65D05 41A05 65F08 62H30 PDF BibTeX XML Cite \textit{A. Iske} et al., SIAM J. Sci. Comput. 39, No. 5, A2287--A2316 (2017; Zbl 1375.65012) Full Text: DOI
Bauer, Benedikt; Devroye, Luc; Kohler, Michael; Krzyżak, Adam; Walk, Harro Nonparametric estimation of a function from noiseless observations at random points. (English) Zbl 1373.62122 J. Multivariate Anal. 160, 93-104 (2017). MSC: 62G05 62G20 PDF BibTeX XML Cite \textit{B. Bauer} et al., J. Multivariate Anal. 160, 93--104 (2017; Zbl 1373.62122) Full Text: DOI
Cavoretto, R.; De Marchi, S.; De Rossi, A.; Perracchione, E.; Santin, G. Partition of unity interpolation using stable kernel-based techniques. (English) Zbl 1372.65030 Appl. Numer. Math. 116, 95-107 (2017). MSC: 65D05 41A05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., Appl. Numer. Math. 116, 95--107 (2017; Zbl 1372.65030) Full Text: DOI
Adcock, Ben Infinite-dimensional \(\ell ^1\) minimization and function approximation from pointwise data. (English) Zbl 1367.41012 Constr. Approx. 45, No. 3, 345-390 (2017). Reviewer: Devendra Kumar (Al-Baha) MSC: 41A25 41A05 41A10 PDF BibTeX XML Cite \textit{B. Adcock}, Constr. Approx. 45, No. 3, 345--390 (2017; Zbl 1367.41012) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{C. Bracco} et al., Comput. Aided Geom. Des. 52--53, 90--105 (2017; Zbl 1366.65014) Full Text: DOI arXiv
Yang, Jianbin; Stahl, Dominik; Shen, Zuowei An analysis of wavelet frame based scattered data reconstruction. (English) Zbl 1412.94261 Appl. Comput. Harmon. Anal. 42, No. 3, 480-507 (2017). MSC: 94C15 42C40 94A08 PDF BibTeX XML Cite \textit{J. Yang} et al., Appl. Comput. Harmon. Anal. 42, No. 3, 480--507 (2017; Zbl 1412.94261) Full Text: DOI
Grohs, Philipp; Sprecher, Markus; Yu, Thomas Scattered manifold-valued data approximation. (English) Zbl 1365.65033 Numer. Math. 135, No. 4, 987-1010 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65D15 65D07 53B20 PDF BibTeX XML Cite \textit{P. Grohs} et al., Numer. Math. 135, No. 4, 987--1010 (2017; Zbl 1365.65033) Full Text: DOI
Li, Wen; Song, Guohui; Yao, Guangming Piece-wise moving least squares approximation. (English) Zbl 1358.65014 Appl. Numer. Math. 115, 68-81 (2017). MSC: 65D10 65M60 PDF BibTeX XML Cite \textit{W. Li} et al., Appl. Numer. Math. 115, 68--81 (2017; Zbl 1358.65014) Full Text: DOI
Crivellaro, Alberto; Perotto, Simona; Zonca, Stefano Reconstruction of 3D scattered data via radial basis functions by efficient and robust techniques. (English) Zbl 1355.65028 Appl. Numer. Math. 113, 93-108 (2017). MSC: 65D17 PDF BibTeX XML Cite \textit{A. Crivellaro} et al., Appl. Numer. Math. 113, 93--108 (2017; Zbl 1355.65028) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra; Perracchione, Emma Efficient computation of partition of unity interpolants through a block-based searching technique. (English) Zbl 1443.65009 Comput. Math. Appl. 71, No. 12, 2568-2584 (2016). MSC: 65D05 65D12 41A05 41A30 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., Comput. Math. Appl. 71, No. 12, 2568--2584 (2016; Zbl 1443.65009) Full Text: DOI
Parzlivand, Farzaneh; Shahrezaee, Alimardan The use of inverse quadratic radial basis functions for the solution of an inverse heat problem. (English) Zbl 1402.65103 Bull. Iran. Math. Soc. 42, No. 5, 1127-1142 (2016). MSC: 65M32 PDF BibTeX XML Cite \textit{F. Parzlivand} and \textit{A. Shahrezaee}, Bull. Iran. Math. Soc. 42, No. 5, 1127--1142 (2016; Zbl 1402.65103) Full Text: Link
Qian, Jiang; Zheng, Sujuan; Wang, Fan; Fu, Zhuojia Bivariate polynomial interpolation over nonrectangular meshes. (English) Zbl 1399.65031 Numer. Math., Theory Methods Appl. 9, No. 4, 549-578 (2016). MSC: 65D05 PDF BibTeX XML Cite \textit{J. Qian} et al., Numer. Math., Theory Methods Appl. 9, No. 4, 549--578 (2016; Zbl 1399.65031) Full Text: DOI
Qian, Jiang; Wang, Fan; Fu, Zhuojia; Wu, Yunbiao Recursive schemes for scattered data interpolation via bivariate continued fractions. (English) Zbl 1374.41004 J. Math. Res. Appl. 36, No. 5, 583-607 (2016). MSC: 41A05 65D05 PDF BibTeX XML Cite \textit{J. Qian} et al., J. Math. Res. Appl. 36, No. 5, 583--607 (2016; Zbl 1374.41004) Full Text: DOI
Xu, Yingxiang Asymptotic positive definite radial basis interpolation for scattered data. (Chinese. English summary) Zbl 1363.65019 J. Numer. Methods Comput. Appl. 37, No. 1, 1-10 (2016). MSC: 65D05 65D07 PDF BibTeX XML Cite \textit{Y. Xu}, J. Numer. Methods Comput. Appl. 37, No. 1, 1--10 (2016; Zbl 1363.65019)
Cavoretto, Roberto; De Rossi, Alessandra; Perracchione, Emma; Venturino, Ezio Robust approximation algorithms for the detection of attraction basins in dynamical systems. (English) Zbl 1344.65118 J. Sci. Comput. 68, No. 1, 395-415 (2016). MSC: 65P30 37M20 92D25 37G35 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Sci. Comput. 68, No. 1, 395--415 (2016; Zbl 1344.65118) Full Text: DOI arXiv
Adcock, Ben; Platte, Rodrigo B. A mapped polynomial method for high-accuracy approximations on arbitrary grids. (English) Zbl 1342.65088 SIAM J. Numer. Anal. 54, No. 4, 2256-2281 (2016). MSC: 65D15 65D05 65T50 PDF BibTeX XML Cite \textit{B. Adcock} and \textit{R. B. Platte}, SIAM J. Numer. Anal. 54, No. 4, 2256--2281 (2016; Zbl 1342.65088) Full Text: DOI
Lamichhane, Bishnu P.; Roberts, Stephen G.; Stals, Linda A mixed finite element discretisation of thin plate splines based on biorthogonal systems. (English) Zbl 1348.65049 J. Sci. Comput. 67, No. 1, 20-42 (2016). Reviewer: Nicoleta Breaz (Alba Iulia) MSC: 65D10 65D15 41A15 65D07 65F10 65F08 PDF BibTeX XML Cite \textit{B. P. Lamichhane} et al., J. Sci. Comput. 67, No. 1, 20--42 (2016; Zbl 1348.65049) Full Text: DOI
Cătinaş, Teodora An iterative modification of Shepard-Bernoulli operator. (English) Zbl 1339.41002 Result. Math. 69, No. 3-4, 387-395 (2016). MSC: 41A05 41A30 PDF BibTeX XML Cite \textit{T. Cătinaş}, Result. Math. 69, No. 3--4, 387--395 (2016; Zbl 1339.41002) Full Text: DOI
Fefferman, Charles; Israel, Arie; Luli, Garving K. Fitting a Sobolev function to data. I. (English) Zbl 1338.65028 Rev. Mat. Iberoam. 32, No. 1, 275-376 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65D05 65D10 41A05 41A63 PDF BibTeX XML Cite \textit{C. Fefferman} et al., Rev. Mat. Iberoam. 32, No. 1, 275--376 (2016; Zbl 1338.65028) Full Text: DOI
Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai On the approximation order of triangular Shepard interpolation. (English) Zbl 1335.65016 IMA J. Numer. Anal. 36, No. 1, 359-379 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65D05 41A25 41A63 PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., IMA J. Numer. Anal. 36, No. 1, 359--379 (2016; Zbl 1335.65016) Full Text: DOI
Michel, Volker; Telschow, Roger The regularized orthogonal functional matching pursuit for ill-posed inverse problems. (English) Zbl 1382.65162 SIAM J. Numer. Anal. 54, No. 1, 262-287 (2016). MSC: 65J22 65N21 31B20 65R32 86A22 PDF BibTeX XML Cite \textit{V. Michel} and \textit{R. Telschow}, SIAM J. Numer. Anal. 54, No. 1, 262--287 (2016; Zbl 1382.65162) Full Text: DOI
Parzlivand, F.; Shahrezaee, A. M. Numerical solution of an inverse reaction-diffusion problem via collocation method based on radial basis functions. (English) Zbl 1443.65176 Appl. Math. Modelling 39, No. 13, 3733-3744 (2015). MSC: 65M32 35R30 65D12 65M06 65M70 PDF BibTeX XML Cite \textit{F. Parzlivand} and \textit{A. M. Shahrezaee}, Appl. Math. Modelling 39, No. 13, 3733--3744 (2015; Zbl 1443.65176) Full Text: DOI
Joldes, Grand Roman; Chowdhury, Habibullah Amin; Wittek, Adam; Doyle, Barry; Miller, Karol Modified moving least squares with polynomial bases for scattered data approximation. (English) Zbl 1410.65019 Appl. Math. Comput. 266, 893-902 (2015). MSC: 65D05 65D10 PDF BibTeX XML Cite \textit{G. R. Joldes} et al., Appl. Math. Comput. 266, 893--902 (2015; Zbl 1410.65019) Full Text: DOI
Mehrabi, Hamid; Voosoghi, Behzad Recursive moving least squares. (English) Zbl 1403.65008 Eng. Anal. Bound. Elem. 58, 119-128 (2015). MSC: 65D05 65D10 PDF BibTeX XML Cite \textit{H. Mehrabi} and \textit{B. Voosoghi}, Eng. Anal. Bound. Elem. 58, 119--128 (2015; Zbl 1403.65008) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. D. Buhmann} and \textit{F. Dai}, Jaen J. Approx. 7, No. 2, 203--230 (2015; Zbl 1381.41006)
Lai, Ming-Jun; Meile, Christof Scattered data interpolation with nonnegative preservation using bivariate splines and its application. (English) Zbl 1375.65029 Comput. Aided Geom. Des. 34, 37-49 (2015). MSC: 65D17 65D05 65D07 PDF BibTeX XML Cite \textit{M.-J. Lai} and \textit{C. Meile}, Comput. Aided Geom. Des. 34, 37--49 (2015; Zbl 1375.65029) Full Text: DOI
Qiao, Yuanyang; Wu, Jilian; Feng, Xinlong The theory, method and application of MQ radial basis function. (Chinese. English summary) Zbl 1363.65150 J. Xinjiang Univ., Nat. Sci. 32, No. 4, 379-387 (2015). MSC: 65M20 35R05 65D18 94A08 PDF BibTeX XML Cite \textit{Y. Qiao} et al., J. Xinjiang Univ., Nat. Sci. 32, No. 4, 379--387 (2015; Zbl 1363.65150) Full Text: DOI
Kim, Moran; Min, Chohong An elementary proof of the optimal recovery of the thin plate spline radial basis function. (English) Zbl 1334.74056 J. Korean Soc. Ind. Appl. Math. 19, No. 4, 409-416 (2015). MSC: 74K20 74S30 65D05 PDF BibTeX XML Cite \textit{M. Kim} and \textit{C. Min}, J. Korean Soc. Ind. Appl. Math. 19, No. 4, 409--416 (2015; Zbl 1334.74056) Full Text: DOI Link
Xu, Yingxiang A multivariate polynomial spline interpolation with natural boundary conditions and numerical solution of differential equation. (Chinese. English summary) Zbl 1340.65016 J. Hefei Univ. Technol., Nat. Sci. 38, No. 9, 1281-1286 (2015). MSC: 65D05 65D07 34B05 65L10 PDF BibTeX XML Cite \textit{Y. Xu}, J. Hefei Univ. Technol., Nat. Sci. 38, No. 9, 1281--1286 (2015; Zbl 1340.65016) Full Text: DOI
Cavoretto, R.; De Rossi, A.; Perracchione, E.; Venturino, E. Reliable approximation of separatrix manifolds in competition models with safety niches. (English) Zbl 1371.92107 Int. J. Comput. Math. 92, No. 9, 1826-1837 (2015). MSC: 92D25 65D05 65D17 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., Int. J. Comput. Math. 92, No. 9, 1826--1837 (2015; Zbl 1371.92107) Full Text: DOI
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 PDF BibTeX XML Cite \textit{Z. Chen} et al., Math. Methods Appl. Sci. 38, No. 12, 2527--2536 (2015; Zbl 1326.41002) Full Text: DOI
Levin, David Between moving least-squares and moving least-\(\ell_1\). (English) Zbl 1328.65059 BIT 55, No. 3, 781-796 (2015). Reviewer: Nicoleta Breaz (Alba Iulia) MSC: 65D15 65D10 65D07 PDF BibTeX XML Cite \textit{D. Levin}, BIT 55, No. 3, 781--796 (2015; Zbl 1328.65059) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{L. L. Schumaker}, Spline functions. Computational methods. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2015; Zbl 1333.65018) Full Text: DOI
Platte, Rodrigo B. \(C^\infty\) compactly supported and positive definite radial kernels. (English) Zbl 1327.65026 SIAM J. Sci. Comput. 37, No. 4, A1934-A1956 (2015). MSC: 65D05 65D15 65M70 PDF BibTeX XML Cite \textit{R. B. Platte}, SIAM J. Sci. Comput. 37, No. 4, A1934--A1956 (2015; Zbl 1327.65026) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra A trivariate interpolation algorithm using a cube-partition searching procedure. (English) Zbl 1327.65022 SIAM J. Sci. Comput. 37, No. 4, A1891-A1908 (2015). MSC: 65D05 65D15 65D17 PDF BibTeX XML Cite \textit{R. Cavoretto} and \textit{A. De Rossi}, SIAM J. Sci. Comput. 37, No. 4, A1891--A1908 (2015; Zbl 1327.65022) Full Text: DOI arXiv
Chen, Zhixiang; Cao, Feilong Spherical scattered data quasi-interpolation by Gaussian radial basis function. (English) Zbl 1318.41008 Chin. Ann. Math., Ser. B 36, No. 3, 401-412 (2015). MSC: 41A17 41A25 41A63 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{F. Cao}, Chin. Ann. Math., Ser. B 36, No. 3, 401--412 (2015; Zbl 1318.41008) Full Text: DOI
Bozzini, Mira; Rossini, Milvia; Schaback, Robert; Volontè, Elena Radial kernels via scale derivatives. (English) Zbl 1317.65262 Adv. Comput. Math. 41, No. 2, 277-291 (2015). MSC: 65T40 PDF BibTeX XML Cite \textit{M. Bozzini} et al., Adv. Comput. Math. 41, No. 2, 277--291 (2015; Zbl 1317.65262) Full Text: DOI
Jamshidi, Arta A.; Kirby, Michael J. A radial basis function algorithm with automatic model order determination. (English) Zbl 1328.65057 SIAM J. Sci. Comput. 37, No. 3, A1319-A1341 (2015). MSC: 65D10 65D15 62M10 94A12 PDF BibTeX XML Cite \textit{A. A. Jamshidi} and \textit{M. J. Kirby}, SIAM J. Sci. Comput. 37, No. 3, A1319--A1341 (2015; Zbl 1328.65057) Full Text: DOI
Cavoretto, Roberto A numerical algorithm for multidimensional modeling of scattered data points. (English) Zbl 1314.65021 Comput. Appl. Math. 34, No. 1, 65-80 (2015). MSC: 65D17 65D05 41A05 41A63 PDF BibTeX XML Cite \textit{R. Cavoretto}, Comput. Appl. Math. 34, No. 1, 65--80 (2015; Zbl 1314.65021) Full Text: DOI
Ledford, Jeff Recovery of bivariate band-limited functions using scattered translates of the Poisson kernel. (English) Zbl 1316.41014 J. Approx. Theory 189, 170-180 (2015). Reviewer: Alexei Lukashov (Istanbul) MSC: 41A30 41A63 94A12 PDF BibTeX XML Cite \textit{J. Ledford}, J. Approx. Theory 189, 170--180 (2015; Zbl 1316.41014) Full Text: DOI arXiv
Hamm, Keaton Approximation rates for interpolation of Sobolev functions via Gaussians and allied functions. (English) Zbl 1305.41026 J. Approx. Theory 189, 101-122 (2015). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 41A30 42A10 PDF BibTeX XML Cite \textit{K. Hamm}, J. Approx. Theory 189, 101--122 (2015; Zbl 1305.41026) Full Text: DOI arXiv
Allasia, Giampietro; Cavoretto, Roberto; De Rossi, Alessandra Local interpolation schemes for landmark-based image registration: a comparison. (English) Zbl 07312648 Math. Comput. Simul. 106, 1-25 (2014). MSC: 65D05 65D07 68U10 PDF BibTeX XML Cite \textit{G. Allasia} et al., Math. Comput. Simul. 106, 1--25 (2014; Zbl 07312648) Full Text: DOI
Izquierdo, Diego; López de Silanes, María Cruz; Cruz Parra, María; Torrens, Juan José CS-RBF interpolation of surfaces with vertical faults from scattered data. (English) Zbl 07312610 Math. Comput. Simul. 102, 11-23 (2014). MSC: 65D PDF BibTeX XML Cite \textit{D. Izquierdo} et al., Math. Comput. Simul. 102, 11--23 (2014; Zbl 07312610) Full Text: DOI
Bozzini, Mira; Lenarduzzi, Licia Recovering functions: a method based on domain decomposition. (English) Zbl 07312583 Math. Comput. Simul. 99, 95-107 (2014). MSC: 65D15 65D18 PDF BibTeX XML Cite \textit{M. Bozzini} and \textit{L. Lenarduzzi}, Math. Comput. Simul. 99, 95--107 (2014; Zbl 07312583) Full Text: DOI
Vlachkova, Krassimira Extremal scattered data interpolation in \(\mathbb{R}^3\) using tensor product Bézier surfaces. (English) Zbl 07084921 Ivanov, Kamen (ed.) et al., Constructive theory of functions. Dedicated to Blagovest Sendov and to the memory of Vasil Popov. Proceedings of the 11th international conference, Sozopol, Bulgaria, June 9–14, 2013. Sofia: Prof. Marin Drinov Academic Publishing House (ISBN 978-954-322-811-9/hbk). 253-264 (2014). MSC: 65D17 PDF BibTeX XML Cite \textit{K. Vlachkova}, in: Constructive theory of functions. Dedicated to Blagovest Sendov and to the memory of Vasil Popov. Proceedings of the 11th international conference, Sozopol, Bulgaria, June 9--14, 2013. Sofia: Prof. Marin Drinov Academic Publishing House. 253--264 (2014; Zbl 07084921)
Cavoretto, Roberto; De Rossi, Alessandra A meshless interpolation algorithm using a cell-based searching procedure. (English) Zbl 1350.65012 Comput. Math. Appl. 67, No. 5, 1024-1038 (2014). MSC: 65D05 65Y20 PDF BibTeX XML Cite \textit{R. Cavoretto} and \textit{A. De Rossi}, Comput. Math. Appl. 67, No. 5, 1024--1038 (2014; Zbl 1350.65012) Full Text: DOI
Schweitzer, Marc Alexander; Wu, Sa A moving least squares approach to the construction of discontinuous enrichment functions. (English) Zbl 1325.65158 Griebel, Michael (ed.), Singular phenomena and scaling in mathematical models. Cham: Springer (ISBN 978-3-319-00785-4/hbk; 978-3-319-00786-1/ebook). 347-360 (2014). MSC: 65N30 PDF BibTeX XML Cite \textit{M. A. Schweitzer} and \textit{S. Wu}, in: Singular phenomena and scaling in mathematical models. Cham: Springer. 347--360 (2014; Zbl 1325.65158) Full Text: DOI
Xu, Yingxiang A multivariate polynomial spline interpolation with natural boundary conditions for scattered data of \(n\)D. (Chinese. English summary) Zbl 1324.65019 Math. Numer. Sin. 36, No. 4, 407-426 (2014). MSC: 65D05 65D07 41A15 41A05 PDF BibTeX XML Cite \textit{Y. Xu}, Math. Numer. Sin. 36, No. 4, 407--426 (2014; Zbl 1324.65019)
Lamichhane, Bishnu P.; Roberts, Stephen G.; Hegland, Markus A new multivariate spline based on mixed partial derivatives and its finite element approximation. (English) Zbl 1314.65016 Appl. Math. Lett. 35, 82-85 (2014). MSC: 65D07 41A15 PDF BibTeX XML Cite \textit{B. P. Lamichhane} et al., Appl. Math. Lett. 35, 82--85 (2014; Zbl 1314.65016) Full Text: DOI
Lyon, M.; Picard, J. The Fourier approximation of smooth but non-periodic functions from unevenly spaced data. (English) Zbl 1308.65225 Adv. Comput. Math. 40, No. 5-6, 1073-1092 (2014). MSC: 65T50 PDF BibTeX XML Cite \textit{M. Lyon} and \textit{J. Picard}, Adv. Comput. Math. 40, No. 5--6, 1073--1092 (2014; Zbl 1308.65225) Full Text: DOI
Michel, Volker; Telschow, Roger A non-linear approximation method on the sphere. (English) Zbl 1305.65094 GEM. Int. J. Geomath. 5, No. 2, 195-224 (2014). MSC: 65D15 65D20 33C50 33C55 33F05 PDF BibTeX XML Cite \textit{V. Michel} and \textit{R. Telschow}, GEM. Int. J. Geomath. 5, No. 2, 195--224 (2014; Zbl 1305.65094) Full Text: DOI
Beckmann, J.; Mhaskar, H. N.; Prestin, J. Local numerical integration on the sphere. (English) Zbl 1305.65106 GEM. Int. J. Geomath. 5, No. 2, 143-162 (2014). MSC: 65D32 41A55 41A63 PDF BibTeX XML Cite \textit{J. Beckmann} et al., GEM. Int. J. Geomath. 5, No. 2, 143--162 (2014; Zbl 1305.65106) Full Text: DOI
Sarra, Scott A. Regularized symmetric positive definite matrix factorizations for linear systems arising from RBF interpolation and differentiation. (English) Zbl 1297.65032 Eng. Anal. Bound. Elem. 44, 76-86 (2014). MSC: 65F05 65N35 65N22 PDF BibTeX XML Cite \textit{S. A. Sarra}, Eng. Anal. Bound. Elem. 44, 76--86 (2014; Zbl 1297.65032) Full Text: DOI
Kohler, Michael Optimal global rates of convergence for noiseless regression estimation problems with adaptively chosen design. (English) Zbl 1360.62177 J. Multivariate Anal. 132, 197-208 (2014). MSC: 62G08 62G05 62G20 PDF BibTeX XML Cite \textit{M. Kohler}, J. Multivariate Anal. 132, 197--208 (2014; Zbl 1360.62177) Full Text: DOI