Tronarp, Filip; Särkkä, Simo; Hennig, Philipp Bayesian ODE solvers: the maximum a posteriori estimate. (English) Zbl 1475.62061 Stat. Comput. 31, No. 3, Paper No. 23, 18 p. (2021). MSC: 62-08 PDF BibTeX XML Cite \textit{F. Tronarp} et al., Stat. Comput. 31, No. 3, Paper No. 23, 18 p. (2021; Zbl 1475.62061) Full Text: DOI arXiv OpenURL
Dong, Bin; Shen, Zuowei; Yang, Jianbin Approximation from noisy data. (English) Zbl 07423171 SIAM J. Numer. Anal. 59, No. 5, 2722-2745 (2021). MSC: 42C40 65D05 65D10 65D15 PDF BibTeX XML Cite \textit{B. Dong} et al., SIAM J. Numer. Anal. 59, No. 5, 2722--2745 (2021; Zbl 07423171) Full Text: DOI OpenURL
Hoff, Daniel; Wendland, Holger A meshfree method for a PDE-constrained optimization problem. (English) Zbl 1478.65136 SIAM J. Numer. Anal. 59, No. 4, 1896-1917 (2021). MSC: 65N35 65N15 49M05 49M41 65D12 PDF BibTeX XML Cite \textit{D. Hoff} and \textit{H. Wendland}, SIAM J. Numer. Anal. 59, No. 4, 1896--1917 (2021; Zbl 1478.65136) Full Text: DOI OpenURL
Karvonen, Toni; Särkkä, Simo; Tanaka, Ken’ichiro Kernel-based interpolation at approximate Fekete points. (English) Zbl 07340131 Numer. Algorithms 87, No. 1, 445-468 (2021); correction ibid. 87, No. 1, 469-471 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A30 65D05 65D12 PDF BibTeX XML Cite \textit{T. Karvonen} et al., Numer. Algorithms 87, No. 1, 445--468 (2021; Zbl 07340131) Full Text: DOI arXiv OpenURL
Hesse, Kerstin; Sloan, Ian H.; Womersley, Robert S. Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. (English) Zbl 1484.65031 J. Comput. Appl. Math. 382, Article ID 113061, 20 p. (2021). MSC: 65D12 41A15 65D07 65D10 33C55 42C10 46E35 PDF BibTeX XML Cite \textit{K. Hesse} et al., J. Comput. Appl. Math. 382, Article ID 113061, 20 p. (2021; Zbl 1484.65031) Full Text: DOI OpenURL
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 1461.60020 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 1461.60020) Full Text: DOI arXiv OpenURL
Chen, Meng; Ling, Leevan Extrinsic meshless collocation methods for PDEs on manifolds. (English) Zbl 1435.65216 SIAM J. Numer. Anal. 58, No. 2, 988-1007 (2020). MSC: 65N35 65N12 65D15 41A63 58J05 PDF BibTeX XML Cite \textit{M. Chen} and \textit{L. Ling}, SIAM J. Numer. Anal. 58, No. 2, 988--1007 (2020; Zbl 1435.65216) Full Text: DOI OpenURL
Karvonen, Toni; Kanagawa, Motonobu; Särkkä, Simo On the positivity and magnitudes of Bayesian quadrature weights. (English) Zbl 1435.62029 Stat. Comput. 29, No. 6, 1317-1333 (2019). MSC: 62-08 62F15 65C99 65D30 PDF BibTeX XML Cite \textit{T. Karvonen} et al., Stat. Comput. 29, No. 6, 1317--1333 (2019; Zbl 1435.62029) Full Text: DOI arXiv OpenURL
Li, Siqing; Ling, Leevan; Cheung, Ka Chun Discrete least-squares radial basis functions approximations. (English) Zbl 1429.65036 Appl. Math. Comput. 355, 542-552 (2019). MSC: 65D15 41A30 41A63 PDF BibTeX XML Cite \textit{S. Li} et al., Appl. Math. Comput. 355, 542--552 (2019; Zbl 1429.65036) Full Text: DOI OpenURL
Bigot, Jérémie; Escande, Paul; Weiss, Pierre Estimation of linear operators from scattered impulse responses. (English) Zbl 07121500 Appl. Comput. Harmon. Anal. 47, No. 3, 730-758 (2019). MSC: 47A58 41A15 41A25 68W25 62H12 65T60 94A20 PDF BibTeX XML Cite \textit{J. Bigot} et al., Appl. Comput. Harmon. Anal. 47, No. 3, 730--758 (2019; Zbl 07121500) Full Text: DOI arXiv Link OpenURL
Mohammadi, Vahid; Mirzaei, Davoud; Dehghan, Mehdi Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions. (English) Zbl 1426.65149 J. Sci. Comput. 79, No. 1, 493-516 (2019). Reviewer: Hendrik Ranocha (Braunschweig) MSC: 65M70 65M15 65M12 65M06 PDF BibTeX XML Cite \textit{V. Mohammadi} et al., J. Sci. Comput. 79, No. 1, 493--516 (2019; Zbl 1426.65149) Full Text: DOI OpenURL
Cheung, Ka Chun; Ling, Leevan A kernel-based embedding method and convergence analysis for surfaces PDEs. (English) Zbl 1382.65425 SIAM J. Sci. Comput. 40, No. 1, A266-A287 (2018). MSC: 65N35 58J05 65N12 35K57 PDF BibTeX XML Cite \textit{K. C. Cheung} and \textit{L. Ling}, SIAM J. Sci. Comput. 40, No. 1, A266--A287 (2018; Zbl 1382.65425) Full Text: DOI OpenURL
Hesse, Kerstin; Sloan, Ian H.; Womersley, Robert S. Radial basis function approximation of noisy scattered data on the sphere. (English) Zbl 1380.41005 Numer. Math. 137, No. 3, 579-605 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 65D10 33C55 42C10 PDF BibTeX XML Cite \textit{K. Hesse} et al., Numer. Math. 137, No. 3, 579--605 (2017; Zbl 1380.41005) Full Text: DOI OpenURL
Griebel, Michael; Rieger, Christian Reproducing kernel Hilbert spaces for parametric partial differential equations. (English) Zbl 1371.35345 SIAM/ASA J. Uncertain. Quantif. 5, 111-137 (2017). MSC: 35R30 35R60 65D15 41A25 41A58 PDF BibTeX XML Cite \textit{M. Griebel} and \textit{C. Rieger}, SIAM/ASA J. Uncertain. Quantif. 5, 111--137 (2017; Zbl 1371.35345) Full Text: DOI OpenURL
Rieger, Christian; Wendland, Holger Sampling inequalities for sparse grids. (English) Zbl 1416.65058 Numer. Math. 136, No. 2, 439-466 (2017). Reviewer: Nicoleta Breaz (Alba Iulia) MSC: 65D10 65D07 41A25 41A63 PDF BibTeX XML Cite \textit{C. Rieger} and \textit{H. Wendland}, Numer. Math. 136, No. 2, 439--466 (2017; Zbl 1416.65058) Full Text: DOI OpenURL
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 OpenURL
Griebel, Michael; Rieger, Christian; Zwicknagl, Barbara Multiscale approximation and reproducing kernel Hilbert space methods. (English) Zbl 1312.41025 SIAM J. Numer. Anal. 53, No. 2, 852-873 (2015). MSC: 41A30 41A17 41A25 41A58 65D05 41A05 PDF BibTeX XML Cite \textit{M. Griebel} et al., SIAM J. Numer. Anal. 53, No. 2, 852--873 (2015; Zbl 1312.41025) Full Text: DOI Link OpenURL
Rieger, Christian; Zwicknagl, Barbara Improved exponential convergence rates by oversampling near the boundary. (English) Zbl 1308.41002 Constr. Approx. 39, No. 2, 323-341 (2014). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 65D05 PDF BibTeX XML Cite \textit{C. Rieger} and \textit{B. Zwicknagl}, Constr. Approx. 39, No. 2, 323--341 (2014; Zbl 1308.41002) Full Text: DOI OpenURL
Arcangéli, Rémi; Torrens, Juan José Sampling inequalities in Sobolev spaces. (English) Zbl 1290.41006 J. Approx. Theory 182, 18-28 (2014). Reviewer: George Stoica (Saint John) MSC: 41A17 41A15 PDF BibTeX XML Cite \textit{R. Arcangéli} and \textit{J. J. Torrens}, J. Approx. Theory 182, 18--28 (2014; Zbl 1290.41006) Full Text: DOI OpenURL
Zwicknagl, Barbara; Schaback, Robert Interpolation and approximation in Taylor spaces. (English) Zbl 1290.41014 J. Approx. Theory 171, 65-83 (2013). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 41A30 46E22 41A05 PDF BibTeX XML Cite \textit{B. Zwicknagl} and \textit{R. Schaback}, J. Approx. Theory 171, 65--83 (2013; Zbl 1290.41014) Full Text: DOI OpenURL
Heuer, Norbert; Tran, Thanh Radial basis functions for the solution of hypersingular operators on open surfaces. (English) Zbl 1247.65166 Comput. Math. Appl. 63, No. 11, 1504-1518 (2012). MSC: 65R20 45E05 PDF BibTeX XML Cite \textit{N. Heuer} and \textit{T. Tran}, Comput. Math. Appl. 63, No. 11, 1504--1518 (2012; Zbl 1247.65166) Full Text: DOI arXiv OpenURL
Arcangéli, Rémi; López de Silanes, María Cruz; Torrens, Juan José Extension of sampling inequalities to Sobolev semi-norms of fractional order and derivative data. (English) Zbl 1259.46025 Numer. Math. 121, No. 3, 587-608 (2012). Reviewer: József Sándor (Cluj-Napoca) MSC: 46E35 26D10 41A63 41A05 PDF BibTeX XML Cite \textit{R. Arcangéli} et al., Numer. Math. 121, No. 3, 587--608 (2012; Zbl 1259.46025) Full Text: DOI OpenURL
Schräder, Daniela; Wendland, Holger A high-order, analytically divergence-free discretization method for Darcy’s problem. (English) Zbl 1308.76213 Math. Comput. 80, No. 273, 263-277 (2011). MSC: 76M25 76S05 65N15 65N35 PDF BibTeX XML Cite \textit{D. Schräder} and \textit{H. Wendland}, Math. Comput. 80, No. 273, 263--277 (2011; Zbl 1308.76213) Full Text: DOI OpenURL
Rieger, Christian; Schaback, Robert; Zwicknagl, Barbara Sampling and stability. (English) Zbl 1274.65022 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, 347-369 (2010). MSC: 65D15 26D07 65D05 65D10 68T05 PDF BibTeX XML Cite \textit{C. Rieger} et al., Lect. Notes Comput. Sci. 5862, 347--369 (2010; Zbl 1274.65022) Full Text: DOI OpenURL
Krebs, J.; Louis, A. K.; Wendland, Holger Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization. (English) Zbl 1183.41028 J. Inverse Ill-Posed Probl. 17, No. 9, 845-869 (2009). MSC: 41A40 45A05 45Q05 46E22 65D07 PDF BibTeX XML Cite \textit{J. Krebs} et al., J. Inverse Ill-Posed Probl. 17, No. 9, 845--869 (2009; Zbl 1183.41028) Full Text: DOI OpenURL
Arcangéli, Rémi; de Silanes, María Cruz López; Torrens, Juan José Estimates for functions in Sobolev spaces defined on unbounded domains. (English) Zbl 1181.41051 J. Approx. Theory 161, No. 1, 198-212 (2009). Reviewer: Antonio López-Carmona (Granada) MSC: 41A65 41A05 PDF BibTeX XML Cite \textit{R. Arcangéli} et al., J. Approx. Theory 161, No. 1, 198--212 (2009; Zbl 1181.41051) Full Text: DOI OpenURL
Cho, Jaerin; Levit, Boris Asymptotic optimality of periodic spline interpolation in non-parametric regression. (English) Zbl 1211.62063 J. Stat. Theory Pract. 2, No. 3, 465-474 (2008). MSC: 62G08 62G20 65D07 PDF BibTeX XML Cite \textit{J. Cho} and \textit{B. Levit}, J. Stat. Theory Pract. 2, No. 3, 465--474 (2008; Zbl 1211.62063) Full Text: DOI OpenURL