Franz, Tino; Wendland, Holger Multilevel quasi-interpolation. (English) Zbl 07800825 IMA J. Numer. Anal. 43, No. 5, 2934-2964 (2023). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{T. Franz} and \textit{H. Wendland}, IMA J. Numer. Anal. 43, No. 5, 2934--2964 (2023; Zbl 07800825) Full Text: DOI
Moosmüller, Caroline; Hüning, Svenja; Conti, Costanza Stirling numbers and Gregory coefficients for the factorization of Hermite subdivision operators. (English) Zbl 1509.65014 IMA J. Numer. Anal. 41, No. 4, 2936-2961 (2021). MSC: 65D17 65D15 41A05 PDFBibTeX XMLCite \textit{C. Moosmüller} et al., IMA J. Numer. Anal. 41, No. 4, 2936--2961 (2021; Zbl 1509.65014) Full Text: DOI arXiv
Erb, Wolfgang A spectral interpolation scheme on the unit sphere based on the nodes of spherical Lissajous curves. (English) Zbl 1462.65019 IMA J. Numer. Anal. 40, No. 2, 1330-1355 (2020). MSC: 65D05 41A05 41A55 PDFBibTeX XMLCite \textit{W. Erb}, IMA J. Numer. Anal. 40, No. 2, 1330--1355 (2020; Zbl 1462.65019) Full Text: DOI arXiv
Jantsch, Peter; Webster, Clayton G.; Zhang, Guannan On the Lebesgue constant of weighted Leja points for Lagrange interpolation on unbounded domains. (English) Zbl 1465.41001 IMA J. Numer. Anal. 39, No. 2, 1039-1057 (2019). MSC: 41A05 41A44 PDFBibTeX XMLCite \textit{P. Jantsch} et al., IMA J. Numer. Anal. 39, No. 2, 1039--1057 (2019; Zbl 1465.41001) Full Text: DOI arXiv
Gaß, Maximilian; Glau, Kathrin Parametric integration by magic point empirical interpolation. (English) Zbl 1484.65048 IMA J. Numer. Anal. 39, No. 1, 315-341 (2019). MSC: 65D30 65D05 41A05 41A55 PDFBibTeX XMLCite \textit{M. Gaß} and \textit{K. Glau}, IMA J. Numer. Anal. 39, No. 1, 315--341 (2019; Zbl 1484.65048) Full Text: DOI arXiv
Heeren, Behrend; Rumpf, Martin; Wirth, Benedikt Variational time discretization of Riemannian splines. (English) Zbl 1483.49017 IMA J. Numer. Anal. 39, No. 1, 61-104 (2019). MSC: 49J45 41A15 58E10 65D17 PDFBibTeX XMLCite \textit{B. Heeren} et al., IMA J. Numer. Anal. 39, No. 1, 61--104 (2019; Zbl 1483.49017) Full Text: DOI arXiv
Tanaka, Ken’ichiro; Sugihara, Masaaki Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization. (English) Zbl 1496.41007 IMA J. Numer. Anal. 39, No. 4, 1957-1984 (2019). MSC: 41A30 41A05 42B30 65D05 PDFBibTeX XMLCite \textit{K. Tanaka} and \textit{M. Sugihara}, IMA J. Numer. Anal. 39, No. 4, 1957--1984 (2019; Zbl 1496.41007) Full Text: DOI arXiv
Austin, Anthony P.; Xu, Kuan On the numerical stability of the second barycentric formula for trigonometric interpolation in shifted equispaced points. (English) Zbl 1433.65363 IMA J. Numer. Anal. 37, No. 3, 1355-1374 (2017). MSC: 65T40 41A05 42A15 PDFBibTeX XMLCite \textit{A. P. Austin} and \textit{K. Xu}, IMA J. Numer. Anal. 37, No. 3, 1355--1374 (2017; Zbl 1433.65363) Full Text: DOI Link
Tanaka, Ken’ichiro; Okayama, Tomoaki; Sugihara, Masaaki Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces. (English) Zbl 1433.41006 IMA J. Numer. Anal. 37, No. 2, 861-904 (2017). MSC: 41A30 41A05 42A10 65D05 PDFBibTeX XMLCite \textit{K. Tanaka} et al., IMA J. Numer. Anal. 37, No. 2, 861--904 (2017; Zbl 1433.41006) Full Text: DOI arXiv
Sander, Oliver Geodesic finite elements of higher order. (English) Zbl 1338.65172 IMA J. Numer. Anal. 36, No. 1, 238-266 (2016). Reviewer: Ivan Secrieru (Chişinău) MSC: 65K10 65N30 58C35 58J05 49J20 49M25 49J27 PDFBibTeX XMLCite \textit{O. Sander}, IMA J. Numer. Anal. 36, No. 1, 238--266 (2016; Zbl 1338.65172) Full Text: DOI Link
van Beeumen, Roel; Michiels, Wim; Meerbergen, Karl Linearization of Lagrange and Hermite interpolating matrix polynomials. (English) Zbl 1314.41002 IMA J. Numer. Anal. 35, No. 2, 909-930 (2015). MSC: 41A05 PDFBibTeX XMLCite \textit{R. van Beeumen} et al., IMA J. Numer. Anal. 35, No. 2, 909--930 (2015; Zbl 1314.41002) Full Text: DOI Link
Bozzini, Mira; Lenarduzzi, Licia; Rossini, Milvia; Schaback, Robert Interpolation with variably scaled kernels. (English) Zbl 1309.65015 IMA J. Numer. Anal. 35, No. 1, 199-219 (2015). MSC: 65D05 41A05 41A63 PDFBibTeX XMLCite \textit{M. Bozzini} et al., IMA J. Numer. Anal. 35, No. 1, 199--219 (2015; Zbl 1309.65015) Full Text: DOI
Townsend, Alex; Wendland, Holger Multiscale analysis in Sobolev spaces on bounded domains with zero boundary values. (English) Zbl 1273.65016 IMA J. Numer. Anal. 33, No. 3, 1095-1114 (2013). Reviewer: Jeremy Wade (Pittsburg) MSC: 65D05 41A63 41A17 41A05 PDFBibTeX XMLCite \textit{A. Townsend} and \textit{H. Wendland}, IMA J. Numer. Anal. 33, No. 3, 1095--1114 (2013; Zbl 1273.65016) Full Text: DOI
Grohs, Philipp Quasi-interpolation in Riemannian manifolds. (English) Zbl 1278.41001 IMA J. Numer. Anal. 33, No. 3, 849-874 (2013). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 PDFBibTeX XMLCite \textit{P. Grohs}, IMA J. Numer. Anal. 33, No. 3, 849--874 (2013; Zbl 1278.41001) Full Text: DOI Link
Carvalhaes, Claudio G. Spline interpolation on nonunisolvent sets. (English) Zbl 1264.41009 IMA J. Numer. Anal. 33, No. 1, 370-375 (2013). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 41A15 41A05 PDFBibTeX XMLCite \textit{C. G. Carvalhaes}, IMA J. Numer. Anal. 33, No. 1, 370--375 (2013; Zbl 1264.41009) Full Text: DOI
Xie, Gang; Yu, Thomas P.-Y. Approximation order equivalence properties of manifold-valued data subdivision schemes. (English) Zbl 1242.65025 IMA J. Numer. Anal. 32, No. 2, 687-700 (2012). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{G. Xie} and \textit{T. P. Y. Yu}, IMA J. Numer. Anal. 32, No. 2, 687--700 (2012; Zbl 1242.65025) Full Text: DOI Link
Lee, Mun Bae; Lee, Yeon Ju; Yoon, Jungho Sobolev-type \(L_{p}\)-approximation orders of radial basis function interpolation to functions in fractional Sobolev spaces. (English) Zbl 1241.65023 IMA J. Numer. Anal. 32, No. 1, 279-293 (2012). Reviewer: Ioana Tascu (Baia Mare) MSC: 65D05 46E35 65D07 41A05 PDFBibTeX XMLCite \textit{M. B. Lee} et al., IMA J. Numer. Anal. 32, No. 1, 279--293 (2012; Zbl 1241.65023) Full Text: DOI
Platte, Rodrigo B. How fast do radial basis function interpolants of analytic functions converge? (English) Zbl 1232.41003 IMA J. Numer. Anal. 31, No. 4, 1578-1597 (2011). Reviewer: Aurelian Bejancu (Safat) MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{R. B. Platte}, IMA J. Numer. Anal. 31, No. 4, 1578--1597 (2011; Zbl 1232.41003) Full Text: DOI Link
Lipman, Yaron; Levin, David Approximating piecewise-smooth functions. (English) Zbl 1222.65018 IMA J. Numer. Anal. 30, No. 4, 1159-1183 (2010). Reviewer: Aurelian Bejancu (Safat) MSC: 65D05 41A05 41A25 PDFBibTeX XMLCite \textit{Y. Lipman} and \textit{D. Levin}, IMA J. Numer. Anal. 30, No. 4, 1159--1183 (2010; Zbl 1222.65018) Full Text: DOI Link
Xie, Gang; Yu, Thomas P.-Y. Smoothness equivalence properties of interpolatory Lie group subdivision schemes. (English) Zbl 1200.41006 IMA J. Numer. Anal. 30, No. 3, 731-750 (2010). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A05 22E35 PDFBibTeX XMLCite \textit{G. Xie} and \textit{T. P. Y. Yu}, IMA J. Numer. Anal. 30, No. 3, 731--750 (2010; Zbl 1200.41006) Full Text: DOI
Buhmann, Martin D.; Dinew, Slawomir; Larsson, Elisabeth A note on radial basis function interpolant limits. (English) Zbl 1201.65017 IMA J. Numer. Anal. 30, No. 2, 543-554 (2010). Reviewer: Antonio López-Carmona (Granada) MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{M. D. Buhmann} et al., IMA J. Numer. Anal. 30, No. 2, 543--554 (2010; Zbl 1201.65017) Full Text: DOI
Taylor, Rodney; Totik, Vilmos Lebesgue constants for Leja points. (English) Zbl 1193.41003 IMA J. Numer. Anal. 30, No. 2, 462-486 (2010). Reviewer: Alexei Lukashov (Istanbul) MSC: 41A05 30E10 PDFBibTeX XMLCite \textit{R. Taylor} and \textit{V. Totik}, IMA J. Numer. Anal. 30, No. 2, 462--486 (2010; Zbl 1193.41003) Full Text: DOI
Shingel, Tatiana Interpolation in special orthogonal groups. (English) Zbl 1175.65023 IMA J. Numer. Anal. 29, No. 3, 731-745 (2009). Reviewer: Michael M. Pahirya (Uzhgorod) MSC: 65D05 43A80 22E30 65J05 PDFBibTeX XMLCite \textit{T. Shingel}, IMA J. Numer. Anal. 29, No. 3, 731--745 (2009; Zbl 1175.65023) Full Text: DOI
De Bonis, M. C.; Mastroianni, G. Nyström method for systems of integral equations on the real semiaxis. (English) Zbl 1171.65097 IMA J. Numer. Anal. 29, No. 3, 632-650 (2009). Reviewer: Hu Chuangan (San Jose) MSC: 65R20 45F15 81Q05 81U40 PDFBibTeX XMLCite \textit{M. C. De Bonis} and \textit{G. Mastroianni}, IMA J. Numer. Anal. 29, No. 3, 632--650 (2009; Zbl 1171.65097) Full Text: DOI
Fornberg, Bengt; Flyer, Natasha; Hovde, Susan; Piret, Cécile Locality properties of radial basis function expansion coefficients for equispaced interpolation. (English) Zbl 1134.65013 IMA J. Numer. Anal. 28, No. 1, 121-142 (2008). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{B. Fornberg} et al., IMA J. Numer. Anal. 28, No. 1, 121--142 (2008; Zbl 1134.65013) Full Text: DOI Link
Floater, Michael S. Chordal cubic spline interpolation is fourth-order accurate. (English) Zbl 1095.41006 IMA J. Numer. Anal. 26, No. 1, 25-33 (2006). Reviewer: Aurelian Bejancu (Safat) MSC: 41A15 41A05 41A25 65D05 65D07 65D17 PDFBibTeX XMLCite \textit{M. S. Floater}, IMA J. Numer. Anal. 26, No. 1, 25--33 (2006; Zbl 1095.41006) Full Text: DOI Link
Higham, Nicholas J. The numerical stability of barycentric Lagrange interpolation. (English) Zbl 1067.65016 IMA J. Numer. Anal. 24, No. 4, 547-556 (2004). Reviewer: Amin Boumenir (Carrollton) MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{N. J. Higham}, IMA J. Numer. Anal. 24, No. 4, 547--556 (2004; Zbl 1067.65016) Full Text: DOI Link
Asaturyan, Souren; Costantini, Paolo; Manni, Carla Local shape-preserving interpolation by space curves. (English) Zbl 0976.65007 IMA J. Numer. Anal. 21, No. 1, 301-325 (2001). Reviewer: F.Pérez Acosta (La Laguna) MSC: 65D05 65D07 41A29 41A05 PDFBibTeX XMLCite \textit{S. Asaturyan} et al., IMA J. Numer. Anal. 21, No. 1, 301--325 (2001; Zbl 0976.65007) Full Text: DOI
Nürnberger, G.; Walz, G. Error analysis in interpolation by bivariate \(C^1\)-splines. (English) Zbl 0922.41001 IMA J. Numer. Anal. 18, No. 4, 485-508 (1998). Reviewer: E.Quak (Oslo) MSC: 41A05 41A15 41A63 41A80 PDFBibTeX XMLCite \textit{G. Nürnberger} and \textit{G. Walz}, IMA J. Numer. Anal. 18, No. 4, 485--508 (1998; Zbl 0922.41001) Full Text: DOI
Maz’ya, Vladimir; Schmidt, Gunther On approximate approximations using Gaussian kernels. (English) Zbl 0838.65005 IMA J. Numer. Anal. 16, No. 1, 13-29 (1996). Reviewer: A.López-Carmona (Granada) MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{V. Maz'ya} and \textit{G. Schmidt}, IMA J. Numer. Anal. 16, No. 1, 13--29 (1996; Zbl 0838.65005) Full Text: DOI Link
Wu, Zong-Min; Schaback, Robert Local error estimates for radial basis function interpolation of scattered data. (English) Zbl 0762.41006 IMA J. Numer. Anal. 13, No. 1, 13-27 (1993). MSC: 41A05 PDFBibTeX XMLCite \textit{Z.-M. Wu} and \textit{R. Schaback}, IMA J. Numer. Anal. 13, No. 1, 13--27 (1993; Zbl 0762.41006) Full Text: DOI
Beatson, R. K.; Powell, M. J. D. Univariate interpolation on a regular finite grid by a multiquadric plus a linear polynomial. (English) Zbl 0751.65005 IMA J. Numer. Anal. 12, No. 1, 107-133 (1992). Reviewer: D.Braess (Bochum) MSC: 65D05 41A05 41A25 41A63 PDFBibTeX XMLCite \textit{R. K. Beatson} and \textit{M. J. D. Powell}, IMA J. Numer. Anal. 12, No. 1, 107--133 (1992; Zbl 0751.65005) Full Text: DOI
Dyn, Nira; Levin, David; Rippa, Samuel Data dependent triangulations for piecewise linear interpolation. (English) Zbl 0699.65004 IMA J. Numer. Anal. 10, No. 1, 137-154 (1990). Reviewer: G.Farin MSC: 65D05 41A05 41A63 PDFBibTeX XMLCite \textit{N. Dyn} et al., IMA J. Numer. Anal. 10, No. 1, 137--154 (1990; Zbl 0699.65004) Full Text: DOI
Dauner, Herbert; Reinsch, Christian H. An analysis of two algorithms for shape-preserving cubic spline interpolation. (English) Zbl 0681.65004 IMA J. Numer. Anal. 9, No. 3, 299-314 (1989). Reviewer: Xiong Zhenxiang (Alhambra) MSC: 65D05 65D07 41A05 41A15 PDFBibTeX XMLCite \textit{H. Dauner} and \textit{C. H. Reinsch}, IMA J. Numer. Anal. 9, No. 3, 299--314 (1989; Zbl 0681.65004) Full Text: DOI
Jackson, I. R. H. An order of convergence for some radial basis functions. (English) Zbl 0678.41004 IMA J. Numer. Anal. 9, No. 4, 567-587 (1989). MSC: 41A05 PDFBibTeX XMLCite \textit{I. R. H. Jackson}, IMA J. Numer. Anal. 9, No. 4, 567--587 (1989; Zbl 0678.41004) Full Text: DOI
Buhmann, M.d. Convergence of univariate quasi-interpolation using multiquadrics. (English) Zbl 0659.41003 IMA J. Numer. Anal. 8, No. 3, 365-383 (1988). Reviewer: Yongsheng Sun MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{M. d. Buhmann}, IMA J. Numer. Anal. 8, No. 3, 365--383 (1988; Zbl 0659.41003) Full Text: DOI
Sablonnière, Paul Error bounds for Hermite interpolation by quadratic splines on an \(\alpha\)-triangulation. (English) Zbl 0633.41004 IMA J. Numer. Anal. 7, 495-508 (1987). MSC: 41A05 41A15 41A25 PDFBibTeX XMLCite \textit{P. Sablonnière}, IMA J. Numer. Anal. 7, 495--508 (1987; Zbl 0633.41004) Full Text: DOI
Palagallo, Judith A.; Price, Thomas E. jun. Near-best approximation by averaging polynomial interpolants. (English) Zbl 0621.41005 IMA J. Numer. Anal. 7, 107-122 (1987). Reviewer: A.Kushkuley MSC: 41A10 41A05 42A10 42A15 41A50 PDFBibTeX XMLCite \textit{J. A. Palagallo} and \textit{T. E. Price jun.}, IMA J. Numer. Anal. 7, 107--122 (1987; Zbl 0621.41005) Full Text: DOI
Levin, David Multidimensional reconstruction by set-valued approximations. (English) Zbl 0647.65006 IMA J. Numer. Anal. 6, 173-184 (1986). Reviewer: A.K.Louis MSC: 65D05 65D10 41A05 41A63 92C50 PDFBibTeX XMLCite \textit{D. Levin}, IMA J. Numer. Anal. 6, 173--184 (1986; Zbl 0647.65006) Full Text: DOI
Marsden, M. J. Cubic X-spline interpolants. (English) Zbl 0599.41018 IMA J. Numer. Anal. 4, 203-207 (1984). Reviewer: R.B.Saxena MSC: 41A15 41A05 PDFBibTeX XMLCite \textit{M. J. Marsden}, IMA J. Numer. Anal. 4, 203--207 (1984; Zbl 0599.41018) Full Text: DOI
Smarzewski, R.; Bujalska, A. Uniform convergence of cubic and quadratic X-spline interpolants. (English) Zbl 0531.41008 IMA J. Numer. Anal. 3, 353-372 (1983). Reviewer: E.Neumann MSC: 41A15 41A05 41A25 PDFBibTeX XMLCite \textit{R. Smarzewski} and \textit{A. Bujalska}, IMA J. Numer. Anal. 3, 353--372 (1983; Zbl 0531.41008) Full Text: DOI
Iserles, A.; Powell, M. J. D. On the A-acceptability of rational approximations that interpolate the exponential function. (English) Zbl 0472.41013 IMA J. Numer. Anal. 1, 241-251 (1981). MSC: 41A20 41A05 PDFBibTeX XMLCite \textit{A. Iserles} and \textit{M. J. D. Powell}, IMA J. Numer. Anal. 1, 241--251 (1981; Zbl 0472.41013) Full Text: DOI
Mason, J. C. Near-minimax interpolation by a polynomial in \(z\) and \(z^{-1}\) on a circular annulus. (English) Zbl 0472.41004 IMA J. Numer. Anal. 1, 359-367 (1981). Reviewer: J. C. Mason MSC: 41A05 41A10 65D15 PDFBibTeX XMLCite \textit{J. C. Mason}, IMA J. Numer. Anal. 1, 359--367 (1981; Zbl 0472.41004) Full Text: DOI
Behforooz, G. H.; Papamichael, N. End conditions for interpolatory quintic splines. (English) Zbl 0454.41008 IMA J. Numer, Anal. 1, 81-93 (1981). MSC: 41A15 65D07 41A05 PDFBibTeX XMLCite \textit{G. H. Behforooz} and \textit{N. Papamichael}, IMA J. Numer. Anal. 1, 81--93 (1981; Zbl 0454.41008) Full Text: DOI Link