Harbrecht, Helmut; Zaspel, Peter On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems. (English) Zbl 1417.65204 J. Sci. Comput. 78, No. 2, 1272-1290 (2019). MSC: 65N30 65N22 65N55 65N50 65F10 65Y20 65Y05 PDF BibTeX XML Cite \textit{H. Harbrecht} and \textit{P. Zaspel}, J. Sci. Comput. 78, No. 2, 1272--1290 (2019; Zbl 1417.65204) Full Text: DOI arXiv
Gimperlein, Heiko; Meyer, Fabian; Özdemir, Ceyhun; Stark, David; Stephan, Ernst P. Boundary elements with mesh refinements for the wave equation. (English) Zbl 1407.65172 Numer. Math. 139, No. 4, 867-912 (2018). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65M38 65M15 35L20 76Q05 65M50 35C20 PDF BibTeX XML Cite \textit{H. Gimperlein} et al., Numer. Math. 139, No. 4, 867--912 (2018; Zbl 1407.65172) Full Text: DOI
Chegini, Nabi; Stevenson, Rob Adaptive piecewise tensor product wavelets scheme for Laplace-interface problems. (English) Zbl 1382.65436 J. Comput. Appl. Math. 336, 72-97 (2018). MSC: 65N55 35J05 35R05 65T60 65N30 65Y20 PDF BibTeX XML Cite \textit{N. Chegini} and \textit{R. Stevenson}, J. Comput. Appl. Math. 336, 72--97 (2018; Zbl 1382.65436) Full Text: DOI
Kazeev, Vladimir; Schwab, Christoph Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. (English) Zbl 1382.65409 Numer. Math. 138, No. 1, 133-190 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 15A69 35J25 65N12 PDF BibTeX XML Cite \textit{V. Kazeev} and \textit{C. Schwab}, Numer. Math. 138, No. 1, 133--190 (2018; Zbl 1382.65409) Full Text: DOI
Kergrene, Kenan; Prudhomme, Serge; Chamoin, Ludovic; Laforest, Marc Approximation of constrained problems using the PGD method with application to pure Neumann problems. (English) Zbl 1439.65180 Comput. Methods Appl. Mech. Eng. 317, 507-525 (2017). MSC: 65N30 PDF BibTeX XML Cite \textit{K. Kergrene} et al., Comput. Methods Appl. Mech. Eng. 317, 507--525 (2017; Zbl 1439.65180) Full Text: DOI
Bachmayr, Markus; Cohen, Albert; Dũng, Dinh; Schwab, Christoph Fully discrete approximation of parametric and stochastic elliptic PDEs. (English) Zbl 1377.65005 SIAM J. Numer. Anal. 55, No. 5, 2151-2186 (2017). MSC: 65C30 60H15 35R60 60H35 65N30 65T60 65N12 PDF BibTeX XML Cite \textit{M. Bachmayr} et al., SIAM J. Numer. Anal. 55, No. 5, 2151--2186 (2017; Zbl 1377.65005) Full Text: DOI
Szollosi, Alexandra; Baranyi, Peter Improved control performance of the 3-DOF aeroelastic wing section: a TP model based 2D parametric control performance optimization. (English) Zbl 1365.93089 Asian J. Control 19, No. 2, 450-466 (2017). MSC: 93B17 93C15 93B51 74H10 74B10 PDF BibTeX XML Cite \textit{A. Szollosi} and \textit{P. Baranyi}, Asian J. Control 19, No. 2, 450--466 (2017; Zbl 1365.93089) Full Text: DOI
Shen, Yi; Han, Bin; Braverman, Elena Removal of mixed Gaussian and impulse noise using directional tensor product complex tight framelets. (English) Zbl 1339.94012 J. Math. Imaging Vis. 54, No. 1, 64-77 (2016). MSC: 94A08 42C40 42C15 65F10 90C25 41A05 PDF BibTeX XML Cite \textit{Y. Shen} et al., J. Math. Imaging Vis. 54, No. 1, 64--77 (2016; Zbl 1339.94012) Full Text: DOI
Kestler, Sebastian; Steih, Kristina; Urban, Karsten An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations. (English) Zbl 1382.65317 Math. Comput. 85, No. 299, 1309-1333 (2016). MSC: 65M60 65T60 35A35 35B10 35B30 35K20 65M12 65Y20 PDF BibTeX XML Cite \textit{S. Kestler} et al., Math. Comput. 85, No. 299, 1309--1333 (2016; Zbl 1382.65317) Full Text: DOI arXiv
Alonso-Gutiérrez, David; Passenbrunner, Markus; Prochno, Joscha Probabilistic estimates for tensor products of random vectors. (English) Zbl 1348.46014 Proc. Am. Math. Soc. 144, No. 5, 2133-2148 (2016). MSC: 46B09 46B07 46B28 46B45 60E15 PDF BibTeX XML Cite \textit{D. Alonso-Gutiérrez} et al., Proc. Am. Math. Soc. 144, No. 5, 2133--2148 (2016; Zbl 1348.46014) Full Text: DOI arXiv
Dolgov, Sergey; Khoromskij, Boris N.; Litvinenko, Alexander; Matthies, Hermann G. Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. (English) Zbl 1329.65271 SIAM/ASA J. Uncertain. Quantif. 3, 1109-1135 (2015). MSC: 65N30 15A69 60H15 60H35 65N75 76M10 76S05 PDF BibTeX XML Cite \textit{S. Dolgov} et al., SIAM/ASA J. Uncertain. Quantif. 3, 1109--1135 (2015; Zbl 1329.65271) Full Text: DOI arXiv
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
Addam, Mohamed; Bouhamidi, Abderrahman; Seaid, Mohammed A frequency-domain approach for the \(\text P_1\) approximation of time-dependent radiative transfer. (English) Zbl 1319.65126 J. Sci. Comput. 62, No. 3, 623-651 (2015). MSC: 65R20 45K05 78A40 42A38 65D32 65D05 PDF BibTeX XML Cite \textit{M. Addam} et al., J. Sci. Comput. 62, No. 3, 623--651 (2015; Zbl 1319.65126) Full Text: DOI
Chernov, Alexey; Pham, Duong Sparse tensor product spectral Galerkin BEM for elliptic problems with random input data on a spheroid. (English) Zbl 1308.65194 Adv. Comput. Math. 41, No. 1, 77-104 (2015). MSC: 65N30 35R60 41A25 PDF BibTeX XML Cite \textit{A. Chernov} and \textit{D. Pham}, Adv. Comput. Math. 41, No. 1, 77--104 (2015; Zbl 1308.65194) Full Text: DOI
Billaud-Friess, M.; Nouy, A.; Zahm, O. A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems. (English) Zbl 1305.65011 ESAIM, Math. Model. Numer. Anal. 48, No. 6, 1777-1806 (2014). MSC: 65C30 60H15 35R60 60H35 65N30 PDF BibTeX XML Cite \textit{M. Billaud-Friess} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 6, 1777--1806 (2014; Zbl 1305.65011) Full Text: DOI arXiv
Bonizzoni, Francesca; Buffa, Annalisa; Nobile, Fabio Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term. (English) Zbl 1305.78015 IMA J. Numer. Anal. 34, No. 4, 1328-1360 (2014). MSC: 78M10 78A30 60H15 35Q60 35R60 PDF BibTeX XML Cite \textit{F. Bonizzoni} et al., IMA J. Numer. Anal. 34, No. 4, 1328--1360 (2014; Zbl 1305.78015) Full Text: DOI
Kestler, Sebastian; Stevenson, Rob Fast evaluation of system matrices w.r.t. multi-tree collections of tensor product refinable basis functions. (English) Zbl 1293.65156 J. Comput. Appl. Math. 260, 103-116 (2014). MSC: 65N30 65Y20 PDF BibTeX XML Cite \textit{S. Kestler} and \textit{R. Stevenson}, J. Comput. Appl. Math. 260, 103--116 (2014; Zbl 1293.65156) Full Text: DOI
Dmytryshyn, M. I. Tensor products of approximation spaces associated with regular elliptic operators. (Ukrainian, English) Zbl 1313.41070 Mat. Metody Fiz.-Mekh. Polya 56, No. 4, 75-82 (2013); translation in J. Math. Sci., New York 208, No. 3, 355-365 (2015). Reviewer: V. V. Shegai (Tashkent) MSC: 41A65 47A57 58J26 PDF BibTeX XML Cite \textit{M. I. Dmytryshyn}, Mat. Metody Fiz.-Mekh. Polya 56, No. 4, 75--82 (2013; Zbl 1313.41070); translation in J. Math. Sci., New York 208, No. 3, 355--365 (2015) Full Text: DOI
Kestler, Sebastian; Stevenson, Rob An efficient approximate residual evaluation in the adaptive tensor product wavelet method. (English) Zbl 1292.65049 J. Sci. Comput. 57, No. 3, 439-463 (2013). MSC: 65J10 65T60 PDF BibTeX XML Cite \textit{S. Kestler} and \textit{R. Stevenson}, J. Sci. Comput. 57, No. 3, 439--463 (2013; Zbl 1292.65049) Full Text: DOI
Khartov, A. A. Approximation complexity of tensor product-type random fields with heavy spectrum. (English. Russian original) Zbl 1309.60051 Vestn. St. Petersbg. Univ., Math. 46, No. 2, 98-101 (2013); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2013, No. 2, 64-67 (2013). Reviewer: Ludwig Paditz (Dresden) MSC: 60G60 60G15 46B09 PDF BibTeX XML Cite \textit{A. A. Khartov}, Vestn. St. Petersbg. Univ., Math. 46, No. 2, 98--101 (2013; Zbl 1309.60051); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2013, No. 2, 64--67 (2013) Full Text: DOI
Höllig, Klaus; Hörner, Jörg Approximation and modeling with B-splines. (English) Zbl 1285.65005 Other Titles in Applied Mathematics 132. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-94-8/pbk). xiii, 214 p. (2013). Reviewer: Nicoleta Breaz (Alba Iulia) MSC: 65D07 65-02 65D10 41A15 65D05 65D17 65D18 41A63 65N30 92C55 PDF BibTeX XML Cite \textit{K. Höllig} and \textit{J. Hörner}, Approximation and modeling with B-splines. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2013; Zbl 1285.65005)
Chegini, Nabi; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob Piecewise tensor product wavelet bases by extensions and approximation rates. (English) Zbl 1277.65093 Math. Comput. 82, No. 284, 2157-2190 (2013). Reviewer: Manfred Tasche (Rostock) MSC: 65N30 65T60 65N12 46E35 35B65 41A25 35J05 65N55 PDF BibTeX XML Cite \textit{N. Chegini} et al., Math. Comput. 82, No. 284, 2157--2190 (2013; Zbl 1277.65093) Full Text: DOI
Hansen, Markus; Schwab, Christoph Analytic regularity and nonlinear approximation of a class of parametric semilinear elliptic PDEs. (English) Zbl 1273.35134 Math. Nachr. 286, No. 8-9, 832-860 (2013). MSC: 35J61 35B30 65N30 41A58 PDF BibTeX XML Cite \textit{M. Hansen} and \textit{C. Schwab}, Math. Nachr. 286, No. 8--9, 832--860 (2013; Zbl 1273.35134) Full Text: DOI
Bertoglio, Cristóbal; Khoromskij, Boris N. Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels. (English) Zbl 1308.65213 Comput. Phys. Commun. 183, No. 4, 904-912 (2012). MSC: 65R10 65D30 PDF BibTeX XML Cite \textit{C. Bertoglio} and \textit{B. N. Khoromskij}, Comput. Phys. Commun. 183, No. 4, 904--912 (2012; Zbl 1308.65213) Full Text: DOI
Espig, Mike; Hackbusch, Wolfgang A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format. (English) Zbl 1264.65087 Numer. Math. 122, No. 3, 489-525 (2012). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 15A69 90C06 90C26 90C53 PDF BibTeX XML Cite \textit{M. Espig} and \textit{W. Hackbusch}, Numer. Math. 122, No. 3, 489--525 (2012; Zbl 1264.65087) Full Text: DOI
Dmytryshyn, Mar’yan Interpolation of tensor products of exponential type vectors of closed operators. (Ukrainian. English summary) Zbl 1265.41072 Mat. Visn. Nauk. Tov. Im. Shevchenka 9, 89-96 (2012). MSC: 41A65 47A57 46E35 PDF BibTeX XML Cite \textit{M. Dmytryshyn}, Mat. Visn. Nauk. Tov. Im. Shevchenka 9, 89--96 (2012; Zbl 1265.41072)
Novak, Erich; Woźniakowski, Henryk Tractability of multivariate problems. Volume III: Standard information for operators. (English) Zbl 1359.65003 EMS Tracts in Mathematics 18. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-116-3/hbk). xviii, 586 p. (2012). Reviewer: Jaromír Antoch (Praha) MSC: 65-02 65Y20 68Q17 68Q25 41A63 46E22 28C20 46E30 65N99 65R20 PDF BibTeX XML Cite \textit{E. Novak} and \textit{H. Woźniakowski}, Tractability of multivariate problems. Volume III: Standard information for operators. Zürich: European Mathematical Society (EMS) (2012; Zbl 1359.65003) Full Text: DOI
Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold The alternating linear scheme for tensor optimization in the tensor train format. (English) Zbl 1252.15031 SIAM J. Sci. Comput. 34, No. 2, A683-A713 (2012). MSC: 15A69 65K10 90C06 PDF BibTeX XML Cite \textit{S. Holtz} et al., SIAM J. Sci. Comput. 34, No. 2, A683--A713 (2012; Zbl 1252.15031) Full Text: DOI
Chevreuil, Mathilde; Nouy, Anthony Model order reduction based on proper generalized decomposition for the propagation of uncertainties in structural dynamics. (English) Zbl 1242.74028 Int. J. Numer. Methods Eng. 89, No. 2, 241-268 (2012). MSC: 74H15 74H45 74S60 PDF BibTeX XML Cite \textit{M. Chevreuil} and \textit{A. Nouy}, Int. J. Numer. Methods Eng. 89, No. 2, 241--268 (2012; Zbl 1242.74028) Full Text: DOI
Matthies, Hermann G.; Zander, Elmar Solving stochastic systems with low-rank tensor compression. (English) Zbl 1241.65016 Linear Algebra Appl. 436, No. 10, 3819-3838 (2012). MSC: 65C30 60H15 60H35 35R60 65N30 65N12 65F05 65F20 PDF BibTeX XML Cite \textit{H. G. Matthies} and \textit{E. Zander}, Linear Algebra Appl. 436, No. 10, 3819--3838 (2012; Zbl 1241.65016) Full Text: DOI
Dmytryshyn, Maryan Exponential type vectors of closed operators on tensor products. (Ukrainian. English summary) Zbl 1265.41071 Mat. Visn. Nauk. Tov. Im. Shevchenka 8, 60-68 (2011). MSC: 41A65 47A57 47A58 46E35 PDF BibTeX XML Cite \textit{M. Dmytryshyn}, Mat. Visn. Nauk. Tov. Im. Shevchenka 8, 60--68 (2011; Zbl 1265.41071)
Nouy, A.; Chevreuil, M.; Safatly, E. Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains. (English) Zbl 1230.65135 Comput. Methods Appl. Mech. Eng. 200, No. 45-46, 3066-3082 (2011). MSC: 65N55 65N75 PDF BibTeX XML Cite \textit{A. Nouy} et al., Comput. Methods Appl. Mech. Eng. 200, No. 45--46, 3066--3082 (2011; Zbl 1230.65135) Full Text: DOI
Bertelson, Mélanie Remarks on a Künneth formula for foliated de Rham cohomology. (English) Zbl 1254.53049 Pac. J. Math. 252, No. 2, 257-274 (2011). Reviewer: Robert A. Wolak (Kraków) MSC: 53C12 46A32 46E10 53D17 46A63 46M18 46A04 PDF BibTeX XML Cite \textit{M. Bertelson}, Pac. J. Math. 252, No. 2, 257--274 (2011; Zbl 1254.53049) Full Text: DOI Link
Schwab, Christoph; Stevenson, Rob Fast evaluation of nonlinear functionals of tensor product wavelet expansions. (English) Zbl 1232.65027 Numer. Math. 119, No. 4, 765-786 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 65D15 65T60 65Y20 68R10 68Q25 65D05 65J15 47J25 PDF BibTeX XML Cite \textit{C. Schwab} and \textit{R. Stevenson}, Numer. Math. 119, No. 4, 765--786 (2011; Zbl 1232.65027) Full Text: DOI
Chegini, Nabi; Stevenson, Rob Adaptive wavelet schemes for parabolic problems: sparse matrices and numerical results. (English) Zbl 1225.65094 SIAM J. Numer. Anal. 49, No. 1, 182-212 (2011). MSC: 65M60 35K15 65T60 65F50 65Y20 65M12 65L05 34A30 65L20 PDF BibTeX XML Cite \textit{N. Chegini} and \textit{R. Stevenson}, SIAM J. Numer. Anal. 49, No. 1, 182--212 (2011; Zbl 1225.65094) Full Text: DOI
Anastassiou, George A. Multivariate sigmoidal neural network approximation. (English) Zbl 1228.65018 Neural Netw. 24, No. 4, 378-386 (2011). Reviewer: Aurelian Bejancu (Safat) MSC: 65D15 41A63 41A36 41A17 65D05 65E05 30D05 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Neural Netw. 24, No. 4, 378--386 (2011; Zbl 1228.65018) Full Text: DOI
Dauge, Monique; Stevenson, Rob Sparse tensor product wavelet approximation of singular functions. (English) Zbl 1218.65127 SIAM J. Math. Anal. 42, No. 5, 2203-2228 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65N30 35B65 65T60 65N50 35J05 65N12 PDF BibTeX XML Cite \textit{M. Dauge} and \textit{R. Stevenson}, SIAM J. Math. Anal. 42, No. 5, 2203--2228 (2010; Zbl 1218.65127) Full Text: DOI
Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Khoromskij, Boris N.; Schneider, Reinhold Concepts of data-sparse tensor-product approximation in many-particle modelling. (English) Zbl 1214.81077 Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 313-347 (2010). MSC: 81Q05 81V70 42C40 81V55 65T60 PDF BibTeX XML Cite \textit{H.-J. Flad} et al., in: Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23--27, 2007. Hackensack, NJ: World Scientific. 313--347 (2010; Zbl 1214.81077)
Khoromskij, Boris N. Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension. (English) Zbl 1197.65216 J. Comput. Appl. Math. 234, No. 11, 3122-3139 (2010). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 65R10 65F30 65F50 65F10 44A35 44A30 65T50 15A69 65Y20 PDF BibTeX XML Cite \textit{B. N. Khoromskij}, J. Comput. Appl. Math. 234, No. 11, 3122--3139 (2010; Zbl 1197.65216) Full Text: DOI
Dijkema, Tammo Jan; Stevenson, Rob A sparse Laplacian in tensor product wavelet coordinates. (English) Zbl 1215.65175 Numer. Math. 115, No. 3, 433-449 (2010). Reviewer: Qingtang Jiang (St. Louis) MSC: 65N30 65T60 35J05 PDF BibTeX XML Cite \textit{T. J. Dijkema} and \textit{R. Stevenson}, Numer. Math. 115, No. 3, 433--449 (2010; Zbl 1215.65175) Full Text: DOI
Conti, Costanza; Cotronei, Mariantonia; Sauer, Tomas Full rank interpolatory subdivision: a first encounter with the multivariate realm. (English) Zbl 1194.41042 J. Approx. Theory 162, No. 3, 559-575 (2010). Reviewer: Alexei Lukashov (Istanbul) MSC: 41A63 41A05 65T60 PDF BibTeX XML Cite \textit{C. Conti} et al., J. Approx. Theory 162, No. 3, 559--575 (2010; Zbl 1194.41042) Full Text: DOI
Uschmajew, André Well-posedness of convex maximization problems on Stiefel manifolds and orthogonal tensor product approximations. (English) Zbl 1192.65086 Numer. Math. 115, No. 2, 309-331 (2010). Reviewer: Berwin A. Turlach (Crawley) MSC: 65K05 90C25 PDF BibTeX XML Cite \textit{A. Uschmajew}, Numer. Math. 115, No. 2, 309--331 (2010; Zbl 1192.65086) Full Text: DOI
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob An adaptive wavelet method for solving high-dimensional elliptic PDEs. (English) Zbl 1205.65313 Constr. Approx. 30, No. 3, 423-455 (2009). Reviewer: Gerlind Plonka-Hoch (Göttingen) MSC: 65N30 46B28 65T60 35J25 65F35 65Y20 65N12 PDF BibTeX XML Cite \textit{T. J. Dijkema} et al., Constr. Approx. 30, No. 3, 423--455 (2009; Zbl 1205.65313) Full Text: DOI
Nobile, F.; Tempone, R.; Webster, C. G. An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. (English) Zbl 1176.65007 SIAM J. Numer. Anal. 46, No. 5, 2411-2442 (2008). MSC: 65C30 60H15 35R60 65N35 65N50 65N12 65N30 65N15 PDF BibTeX XML Cite \textit{F. Nobile} et al., SIAM J. Numer. Anal. 46, No. 5, 2411--2442 (2008; Zbl 1176.65007) Full Text: DOI
Hackbusch, Wolfgang; Khoromskij, Boris N. Tensor-product approximation to multidimensional integral operators and Green’s functions. (English) Zbl 1171.65099 SIAM J. Matrix Anal. Appl. 30, No. 3, 233-1253 (2008). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65R20 46B28 47A80 45P05 PDF BibTeX XML Cite \textit{W. Hackbusch} and \textit{B. N. Khoromskij}, SIAM J. Matrix Anal. Appl. 30, No. 3, p1233--1253 (2008; Zbl 1171.65099) Full Text: DOI
Sprague, M. A.; Geers, T. L. Legendre spectral finite elements for structural dynamics analysis. (English) Zbl 1152.74050 Commun. Numer. Methods Eng. 24, No. 12, 1953-1965 (2008). MSC: 74S05 74S25 74H15 74K10 PDF BibTeX XML Cite \textit{M. A. Sprague} and \textit{T. L. Geers}, Commun. Numer. Methods Eng. 24, No. 12, 1953--1965 (2008; Zbl 1152.74050) Full Text: DOI
Varol, Oğuz A decomposition lemma for elementary tensors. (English) Zbl 1151.46004 Arch. Math. 90, No. 3, 246-255 (2008). Reviewer: Michael Langenbruch (Oldenburg) MSC: 46A63 46M18 46A04 46A32 PDF BibTeX XML Cite \textit{O. Varol}, Arch. Math. 90, No. 3, 246--255 (2008; Zbl 1151.46004) Full Text: DOI
Schwab, Christoph; Stevenson, Rob Adaptive wavelet algorithms for elliptic PDE’s on product domains. (English) Zbl 1127.41009 Math. Comput. 77, No. 261, 71-92 (2008). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A46 65T60 41A63 65D32 65N12 41A25 PDF BibTeX XML Cite \textit{C. Schwab} and \textit{R. Stevenson}, Math. Comput. 77, No. 261, 71--92 (2008; Zbl 1127.41009) Full Text: DOI
Hackbusch, Wolfgang; Khoromskij, Boris N. Tensor-product approximation to operators and functions in high dimensions. (English) Zbl 1141.65032 J. Complexity 23, No. 4-6, 697-714 (2007). Reviewer: Teresa Regińska (Warszawa) MSC: 65J10 46B28 47A80 65N35 65Y20 PDF BibTeX XML Cite \textit{W. Hackbusch} and \textit{B. N. Khoromskij}, J. Complexity 23, No. 4--6, 697--714 (2007; Zbl 1141.65032) Full Text: DOI
Varol, Oğuz On the derived tensor product functors for (DF)- and Fréchet spaces. (English) Zbl 1138.46045 Stud. Math. 180, No. 1, 41-71 (2007). Reviewer: Jochen Wengenroth (Liège) MSC: 46M18 46A32 46A04 46A11 PDF BibTeX XML Cite \textit{O. Varol}, Stud. Math. 180, No. 1, 41--71 (2007; Zbl 1138.46045) Full Text: DOI
Todor, Radu Alexandru; Schwab, Christoph Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. (English) Zbl 1120.65004 IMA J. Numer. Anal. 27, No. 2, 232-261 (2007). Reviewer: Grigori N. Milstein (Ekaterinburg) MSC: 65C30 60H15 35R60 60H35 65N30 65N35 PDF BibTeX XML Cite \textit{R. A. Todor} and \textit{C. Schwab}, IMA J. Numer. Anal. 27, No. 2, 232--261 (2007; Zbl 1120.65004) Full Text: DOI
von Petersdorff, Tobias; Schwab, Christoph Sparse finite element methods for operator equations with stochastic data. (English) Zbl 1164.65300 Appl. Math., Praha 51, No. 2, 145-180 (2006). MSC: 65C05 65N30 60H25 60H15 65C30 65T60 65F10 65F35 PDF BibTeX XML Cite \textit{T. von Petersdorff} and \textit{C. Schwab}, Appl. Math., Praha 51, No. 2, 145--180 (2006; Zbl 1164.65300) Full Text: DOI EuDML
Hackbusch, W.; Khoromskij, B. N. Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators II. HKT representation of certain operators. (English) Zbl 1087.65050 Computing 76, No. 3-4, 203-225 (2006). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65J05 65F50 65F30 46B28 47A80 65R20 45P05 65N38 PDF BibTeX XML Cite \textit{W. Hackbusch} and \textit{B. N. Khoromskij}, Computing 76, No. 3--4, 203--225 (2006; Zbl 1087.65050) Full Text: DOI
Hackbusch, W.; Khoromskij, B. N. Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions. (English) Zbl 1087.65049 Computing 76, No. 3-4, 177-202 (2006). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65J05 65F50 65F30 46B28 47A80 65R20 45P05 65N38 PDF BibTeX XML Cite \textit{W. Hackbusch} and \textit{B. N. Khoromskij}, Computing 76, No. 3--4, 177--202 (2006; Zbl 1087.65049) Full Text: DOI
Tang, Qiong; Chen, Chuanmiao; Liu, Luohua Superconvergence of a time continuous fully discrete finite element method for parabolic equations. (Chinese. English summary) Zbl 1085.65518 Math. Appl. 18, No. 3, 424-431 (2005). MSC: 65M60 35A35 65M12 35K20 35Q55 PDF BibTeX XML Cite \textit{Q. Tang} et al., Math. Appl. 18, No. 3, 424--431 (2005; Zbl 1085.65518)
Gavrilyuk, Ivan P.; Hackbusch, Wolfgang; Khoromskij, Boris N. Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems. (English) Zbl 1071.65032 Computing 74, No. 2, 131-157 (2005). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F05 65F50 65F30 46B28 47A80 PDF BibTeX XML Cite \textit{I. P. Gavrilyuk} et al., Computing 74, No. 2, 131--157 (2005; Zbl 1071.65032) Full Text: DOI
Nitsche, Pál-Andrej Sparse approximation of singularity functions. (English) Zbl 1073.65118 Constructive Approximation 21, No. 1, 63-81 (2005). Reviewer: Kai Schneider (Marseille) MSC: 65N12 65T60 35J25 65N50 65N30 PDF BibTeX XML Cite \textit{P.-A. Nitsche}, Constr. Approx. 21, No. 1, 63--81 (2005; Zbl 1073.65118) Full Text: DOI
Delvos, Franz-Jürgen On Martensen splines. (English) Zbl 1023.41008 Bojanov, B. D., Constructive theory of functions. Proceedings of the international conference, Varna, Bulgaria, June 19-23, 2002. Sofia: DARBA. 233-238 (2003). Reviewer: Martin D.Buhmann (Giessen) MSC: 41A15 PDF BibTeX XML Cite \textit{F.-J. Delvos}, in: Constructive theory of functions. Proceedings of the international conference, Varna, Bulgaria, June 19--23, 2002. Sofia: DARBA. 233--238 (2003; Zbl 1023.41008)
Sun, Jiachang Multivariate Fourier series over a class of non tensor-product partition domains. (English) Zbl 1030.65143 J. Comput. Math. 21, No. 1, 53-62 (2003). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 65T40 42B05 42C20 PDF BibTeX XML Cite \textit{J. Sun}, J. Comput. Math. 21, No. 1, 53--62 (2003; Zbl 1030.65143)
Hackbusch, Wolfgang; Börm, Steffen \(\mathcal H^2\)-matrix approximation of integral operators by interpolation. (English) Zbl 1019.65103 Appl. Numer. Math. 43, No. 1-2, 129-143 (2002). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45B05 45P05 PDF BibTeX XML Cite \textit{W. Hackbusch} and \textit{S. Börm}, Appl. Numer. Math. 43, No. 1--2, 129--143 (2002; Zbl 1019.65103) Full Text: DOI
Wan, Jian; Xu, Demin; He, Yuyao Multidimensional wavelet networks based on a tensor product structure. (English) Zbl 1012.65152 Control Theory Appl. 19, No. 3, 381-386 (2002). MSC: 65T60 42C40 68T05 PDF BibTeX XML Cite \textit{J. Wan} et al., Control Theory Appl. 19, No. 3, 381--386 (2002; Zbl 1012.65152)
Popescu, Gelu Spectral lifting in Banach algebras and interpolation in several variables. (English) Zbl 1052.47068 Trans. Am. Math. Soc. 353, No. 7, 2843-2857 (2001). MSC: 47L25 47A57 47A20 32E30 46J05 46L05 47L80 PDF BibTeX XML Cite \textit{G. Popescu}, Trans. Am. Math. Soc. 353, No. 7, 2843--2857 (2001; Zbl 1052.47068) Full Text: DOI
Gonska, Heinz H. Products of parametric extensions: Refined estimates. (English) Zbl 0995.41009 Orman, Gabriel V. (ed.) et al., Proceedings of the 2nd international conference on symmetry and antisymmetry in mathematics, formal languages and computer science, satellite conference of 3ECM, Braşov, Romania, June 29-July 1, 2000. Braşov: Editura Universităţii Transilvania. 1-15 (2000). Reviewer: Dany Leviatan (Tel Aviv) MSC: 41A25 41A36 41A63 PDF BibTeX XML Cite \textit{H. H. Gonska}, in: Proceedings of the 2nd international conference on symmetry and antisymmetry in mathematics, formal languages and computer science, satellite conference of 3ECM, Braşov, Romania, June 29--July 1, 2000. Braşov: Editura Universităţii Transilvania. 1--15 (2000; Zbl 0995.41009)
Griebel, M.; Knapek, S. Optimized tensor-product approximation spaces. (English) Zbl 0969.65107 Constructive Approximation 16, No. 4, 525-540 (2000). Reviewer: Wolfgang W.Breckner (Cluj-Napoca) MSC: 65N30 65K10 49J20 49M15 35J25 65N12 65Y20 35J20 PDF BibTeX XML Cite \textit{M. Griebel} and \textit{S. Knapek}, Constr. Approx. 16, No. 4, 525--540 (2000; Zbl 0969.65107) Full Text: DOI
Almasri, Ibrahim; Li, Jinlu; Tonge, Andrew Random trilinear forms and the Schur multiplication of tensors. (English) Zbl 0957.46007 Int. J. Math. Math. Sci. 23, No. 1, 69-76 (2000). Reviewer: H.-A.Braunß (Potsdam) MSC: 46B09 46B28 46G25 46A32 47L05 47L25 PDF BibTeX XML Cite \textit{I. Almasri} et al., Int. J. Math. Math. Sci. 23, No. 1, 69--76 (2000; Zbl 0957.46007) Full Text: DOI EuDML
Mangino, Elisabetta M. (DN)-type properties and projective tensor products. (English) Zbl 0935.46002 Result. Math. 36, No. 1-2, 110-120 (1999). Reviewer: Klaus Dieter Bierstedt (Paderborn) MSC: 46A32 46A63 46A04 46M15 46A45 46A11 46A13 46M05 46M18 46M35 PDF BibTeX XML Cite \textit{E. M. Mangino}, Result. Math. 36, No. 1--2, 110--120 (1999; Zbl 0935.46002) Full Text: DOI
Arnold, M.; Netter, H. Approximation of contact geometry in the dynamical simulation of wheel-rail systems. (English) Zbl 0927.70010 Math. Comput. Model. Dyn. Syst. 4, No. 2, 162-184 (1998). MSC: 70E55 70B15 70-08 PDF BibTeX XML Cite \textit{M. Arnold} and \textit{H. Netter}, Math. Comput. Model. Dyn. Syst. 4, No. 2, 162--184 (1998; Zbl 0927.70010) Full Text: DOI
Bajaj, Chandrajit L.; Evans, Susan Splines and geometric modeling. (English) Zbl 0902.65004 Goodman, Jacob E. (ed.) et al., Handbook of discrete and computational geometry. Boca Raton, FL: CRC Press. CRC Press Series on Discrete Mathematics and its Applications. 833-849 (1997). MSC: 65D17 41A15 65D07 PDF BibTeX XML Cite \textit{C. L. Bajaj} and \textit{S. Evans}, in: Handbook of discrete and computational geometry. Boca Raton, FL: CRC Press. 833--849 (1997; Zbl 0902.65004)
Wu, C. W.; Chen, W.-H. Extension of spline wavelets element method to membrane vibration analysis. (English) Zbl 0864.73077 Comput. Mech. 18, No. 1, 46-54 (1996). MSC: 74S30 74H45 74K20 65D07 PDF BibTeX XML Cite \textit{C. W. Wu} and \textit{W. H. Chen}, Comput. Mech. 18, No. 1, 46--54 (1996; Zbl 0864.73077) Full Text: DOI
Majid, S. On the addition of quantum matrices. (English) Zbl 0812.17015 J. Math. Phys. 35, No. 5, 2617-2632 (1994). Reviewer: P.Šťovíček (Praha) MSC: 17B37 81R50 46L87 PDF BibTeX XML Cite \textit{S. Majid}, J. Math. Phys. 35, No. 5, 2617--2632 (1994; Zbl 0812.17015) Full Text: DOI arXiv
Surana, K. S.; Nguyen, S. H. Hierarchical three dimensional curved beam element based on \(p\)-version. (English) Zbl 0735.73082 Comput. Mech. 7, No. 4, 289-298 (1991). MSC: 74S05 74K10 PDF BibTeX XML Cite \textit{K. S. Surana} and \textit{S. H. Nguyen}, Comput. Mech. 7, No. 4, 289--298 (1991; Zbl 0735.73082) Full Text: DOI
Vulis, Michael The weighted redundancy transform. (English) Zbl 0692.65080 IEEE Trans. Acoust. Speech Signal Process. 37, No. 11, 1687-1692 (1989). Reviewer: Y.Kobayashi MSC: 65T40 35F30 42A15 PDF BibTeX XML Cite \textit{M. Vulis}, IEEE Trans. Acoust. Speech Signal Process. 37, No. 11, 1687--1692 (1989; Zbl 0692.65080) Full Text: DOI
Sun, Weiwei; Zamani, N. G. A fast algorithm for solving the tensor product collocation equations. (English) Zbl 0668.65088 J. Franklin Inst. 326, No. 2, 295-307 (1989). Reviewer: G.Jumarie MSC: 65N35 65T40 35J05 PDF BibTeX XML Cite \textit{W. Sun} and \textit{N. G. Zamani}, J. Franklin Inst. 326, No. 2, 295--307 (1989; Zbl 0668.65088) Full Text: DOI
Saunders, B. V.; Smith, P. W. Grid generation and optimization using tensor product B-splines. (English) Zbl 0714.41019 Approximation Theory Appl. 3, No. 4, 120-152 (1987). MSC: 41A15 PDF BibTeX XML Cite \textit{B. V. Saunders} and \textit{P. W. Smith}, Approximation Theory Appl. 3, No. 4, 120--152 (1987; Zbl 0714.41019)
Franke, Richard; Schumaker, Larry L. A bibliography of multivariate approximation. (English) Zbl 0641.41002 Topics in multivariate approximation, Proc. Int. Workshop, Santiago/Chile 1986, 275-335 (1987). MSC: 41-02 41A05 41A63 41A15 41A50 PDF BibTeX XML
Gutknecht, Martin H. Attenuation factors in multivariate Fourier analysis. (English) Zbl 0639.65079 Numer. Math. 51, 615-629 (1987). Reviewer: V.Veselý MSC: 65T40 65D05 65D07 42B05 41A15 41A63 42A10 42A15 PDF BibTeX XML Cite \textit{M. H. Gutknecht}, Numer. Math. 51, 615--629 (1987; Zbl 0639.65079) Full Text: DOI EuDML
Klein, Gerd H. Fitting simple non-tensor-product splines to scattered noisy data on Euclidean d-space. (English) Zbl 0627.65011 J. Comput. Appl. Math. 18, 347-352 (1987). Reviewer: G.Ya.Seliger MSC: 65D10 65D07 65C20 41A15 PDF BibTeX XML Cite \textit{G. H. Klein}, J. Comput. Appl. Math. 18, 347--352 (1987; Zbl 0627.65011) Full Text: DOI
Böhm, Wolfgang; Farin, Gerald; Kahmann, Jürgen A survey of curve and surface methods in CAGD. (English) Zbl 0604.65005 Comput. Aided Geom. Des. 1, 1-60 (1984). MSC: 65D05 65D07 41A05 41A15 41A63 53A04 53A05 PDF BibTeX XML Cite \textit{W. Böhm} et al., Comput. Aided Geom. Des. 1, 1--60 (1984; Zbl 0604.65005) Full Text: DOI
Gilfeather, Frank; Hopenwasser, Alan; Larson, David R. Reflexive algebras with finite width lattices: Tensor products, cohomology, compact perturbations. (English) Zbl 0564.47021 J. Funct. Anal. 55, 176-199 (1984). MSC: 47L30 47A15 46M20 47B06 46M05 PDF BibTeX XML Cite \textit{F. Gilfeather} et al., J. Funct. Anal. 55, 176--199 (1984; Zbl 0564.47021) Full Text: DOI
Volk, Wolfgang Spezielle Methoden für Splinefunktionen zu äquidistanten Gittern. (German) Zbl 0507.41010 Bericht Nr. HMI-B 382, D/M 137. Berlin: Hahn-Meitner-Institut für Kernforschung Berlin GmbH, Bereich Datenverarbeitung und Elektronik. 60 S. (1982). MSC: 41A15 41-02 65D07 41-04 PDF BibTeX XML
Wahl, F.; Feist, W. On the mathematical structure of the New-Tamm-Dancoff procedure. II: Functional quantum mechanics and the equivalence with a product of Schrödinger problems. (English) Zbl 0582.46058 Z. Naturforsch. A 36, 429-436 (1981). MSC: 46L05 81T05 65N25 46M05 PDF BibTeX XML Cite \textit{F. Wahl} and \textit{W. Feist}, Z. Naturforsch., A 36, 429--436 (1981; Zbl 0582.46058)
Haussmann, Werner; Zeller, Karl Multivariate approximation and tensor products. (English) Zbl 0481.41015 Approximation theory III, Proc. Conf. Hon. G.G. Lorentz, Austin/ Tex. 1980, 495-500 (1980). MSC: 41A25 41A63 PDF BibTeX XML
Grosse, Eric Tensor spline approximation. (English) Zbl 0453.65004 Linear Algebra Appl. 34, 29-41 (1980). MSC: 65D10 41A15 65K05 46M05 65D07 90C05 65F20 PDF BibTeX XML Cite \textit{E. Grosse}, Linear Algebra Appl. 34, 29--41 (1980; Zbl 0453.65004) Full Text: DOI
Hämmerlin, Günther; Schumaker, Larry L. Error bounds for the approximation of Green’s kernels by splines. (English) Zbl 0437.65101 Numer. Math. 33, 17-22 (1979). MSC: 65R20 45B05 65D07 41A15 45L05 PDF BibTeX XML Cite \textit{G. Hämmerlin} and \textit{L. L. Schumaker}, Numer. Math. 33, 17--22 (1979; Zbl 0437.65101) Full Text: DOI EuDML
Bierstedt, Klaus Dieter A remark on vector-valued approximation on compact sets, approximation on product sets, and the approximation property. (English) Zbl 0408.46056 Approximation theory and functional analysis, Proc. int. Symp., Campinas 1977, Math. Stud., North-Holland 35, 37-62 (1979). MSC: 46M05 32E30 46A32 46E40 31D05 41A30 46E10 46M20 41A63 46E15 PDF BibTeX XML
de Boor, Carl Efficient computer manipulation of tensor products. (English) Zbl 0405.65011 ACM Trans. Math. Softw. 5, 173-182 (1979). MSC: 65F05 65D05 65D07 46M05 41A05 41A15 PDF BibTeX XML Cite \textit{C. de Boor}, ACM Trans. Math. Softw. 5, 173--182 (1979; Zbl 0405.65011) Full Text: DOI
Papatheodorou, Theodore Fast tensor product Poisson solvers for the Dirichlet problem on a rectangle. (English) Zbl 0401.65065 Ann. Sci. Math. Qué. 3, 135-141 (1979). MSC: 65N22 46M05 65T40 35J05 PDF BibTeX XML Cite \textit{T. Papatheodorou}, Ann. Sci. Math. Qué. 3, 135--141 (1979; Zbl 0401.65065)
Rozsa, P. A direct method for the numerical solution of elliptic partial differential equations. (English) Zbl 0429.65099 Topics in numerical analysis III, Proc. R. Irish Acad. Conf., Dublin 1976, 369-381 (1977). MSC: 65N22 35J05 65N06 65F05 PDF BibTeX XML