Börm, Steffen; Lopez-Fernandez, Maria; Sauter, Stefan A. Variable order, directional \(\mathcal{H}^2\)-matrices for Helmholtz problems with complex frequency. (English) Zbl 1511.65135 IMA J. Numer. Anal. 41, No. 4, 2896-2935 (2021). MSC: 65N38 65M06 65F50 65N15 35J05 35A15 35R07 35Q60 35Q74 PDFBibTeX XMLCite \textit{S. Börm} et al., IMA J. Numer. Anal. 41, No. 4, 2896--2935 (2021; Zbl 1511.65135) Full Text: DOI arXiv
Dahlke, Stephan; Friedrich, Ulrich; Keding, Philipp; Sieber, Alexander; Raasch, Thorsten Adaptive quarkonial domain decomposition methods for elliptic partial differential equations. (English) Zbl 1511.65138 IMA J. Numer. Anal. 41, No. 4, 2608-2638 (2021). MSC: 65N55 65T60 65N50 65F50 PDFBibTeX XMLCite \textit{S. Dahlke} et al., IMA J. Numer. Anal. 41, No. 4, 2608--2638 (2021; Zbl 1511.65138) Full Text: DOI
Bansal, Pratyuksh; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. (English) Zbl 07528299 IMA J. Numer. Anal. 41, No. 3, 2056-2109 (2021). MSC: 65Mxx PDFBibTeX XMLCite \textit{P. Bansal} et al., IMA J. Numer. Anal. 41, No. 3, 2056--2109 (2021; Zbl 07528299) Full Text: DOI arXiv
Barucq, Hélène; Fares, M’Barek; Kruse, Carola; Tordeux, Sébastien Sparsified discrete wave problem involving a radiation condition on a prolate spheroidal surface. (English) Zbl 1460.65139 IMA J. Numer. Anal. 41, No. 1, 315-343 (2021). MSC: 65N30 65N12 35J05 65F50 35Q60 76Q05 PDFBibTeX XMLCite \textit{H. Barucq} et al., IMA J. Numer. Anal. 41, No. 1, 315--343 (2021; Zbl 1460.65139) Full Text: DOI HAL
Allendes, A.; Fuica, F.; Otárola, E. Adaptive finite element methods for sparse PDE-constrained optimization. (English) Zbl 1466.65175 IMA J. Numer. Anal. 40, No. 3, 2106-2142 (2020). MSC: 65N30 65N15 65N50 35J05 49M25 49M41 PDFBibTeX XMLCite \textit{A. Allendes} et al., IMA J. Numer. Anal. 40, No. 3, 2106--2142 (2020; Zbl 1466.65175) Full Text: DOI arXiv
Rieger, Christian; Wendland, Holger Sampling inequalities for anisotropic tensor product grids. (English) Zbl 1466.41016 IMA J. Numer. Anal. 40, No. 1, 285-321 (2020). MSC: 41A63 41A30 PDFBibTeX XMLCite \textit{C. Rieger} and \textit{H. Wendland}, IMA J. Numer. Anal. 40, No. 1, 285--321 (2020; Zbl 1466.41016) Full Text: DOI Link
Griebel, Michael; Harbrecht, Helmut Singular value decomposition versus sparse grids: refined complexity estimates. (English) Zbl 1496.65020 IMA J. Numer. Anal. 39, No. 4, 1652-1671 (2019). MSC: 65D15 41A63 65Y20 PDFBibTeX XMLCite \textit{M. Griebel} and \textit{H. Harbrecht}, IMA J. Numer. Anal. 39, No. 4, 1652--1671 (2019; Zbl 1496.65020) Full Text: DOI Link
Bachmayr, Markus; Cohen, Albert; Dahmen, Wolfgang Parametric PDEs: sparse or low-rank approximations? (English) Zbl 1477.65189 IMA J. Numer. Anal. 38, No. 4, 1661-1708 (2018). MSC: 65N30 35J25 65N15 65N50 65N75 PDFBibTeX XMLCite \textit{M. Bachmayr} et al., IMA J. Numer. Anal. 38, No. 4, 1661--1708 (2018; Zbl 1477.65189) Full Text: DOI arXiv
Arioli, Mario; Benzi, Michele A finite element method for quantum graphs. (English) Zbl 1462.65176 IMA J. Numer. Anal. 38, No. 3, 1119-1163 (2018). MSC: 65N30 65N55 65F08 65F10 05C10 81Q35 35R02 PDFBibTeX XMLCite \textit{M. Arioli} and \textit{M. Benzi}, IMA J. Numer. Anal. 38, No. 3, 1119--1163 (2018; Zbl 1462.65176) Full Text: DOI
Jerez-Hanckes, Carlos; Schwab, Christoph Electromagnetic wave scattering by random surfaces: uncertainty quantification via sparse tensor boundary elements. (English) Zbl 1433.78013 IMA J. Numer. Anal. 37, No. 3, 1175-1210 (2017). MSC: 78A45 78M15 65N38 PDFBibTeX XMLCite \textit{C. Jerez-Hanckes} and \textit{C. Schwab}, IMA J. Numer. Anal. 37, No. 3, 1175--1210 (2017; Zbl 1433.78013) Full Text: DOI
Meerbergen, Karl An implicitly restarted rational Krylov strategy for Lyapunov inverse iteration. (English) Zbl 1433.65056 IMA J. Numer. Anal. 36, No. 2, 655-674 (2016). MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{K. Meerbergen}, IMA J. Numer. Anal. 36, No. 2, 655--674 (2016; Zbl 1433.65056) Full Text: DOI
Guglielmi, Nicola; Manetta, Manuela Approximating real stability radii. (English) Zbl 1328.65168 IMA J. Numer. Anal. 35, No. 3, 1402-1425 (2015). Reviewer: Johannes Schropp (Konstanz) MSC: 65L20 65L15 34A30 65F50 65F20 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Manetta}, IMA J. Numer. Anal. 35, No. 3, 1402--1425 (2015; Zbl 1328.65168) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{F. Bonizzoni} et al., IMA J. Numer. Anal. 34, No. 4, 1328--1360 (2014; Zbl 1305.78015) Full Text: DOI Link
Reisinger, Christoph Analysis of linear difference schemes in the sparse grid combination technique. (English) Zbl 1268.65144 IMA J. Numer. Anal. 33, No. 2, 544-581 (2013). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65N06 65N55 65N15 65N50 35J05 PDFBibTeX XMLCite \textit{C. Reisinger}, IMA J. Numer. Anal. 33, No. 2, 544--581 (2013; Zbl 1268.65144) Full Text: DOI arXiv
Andreev, Roman Stability of sparse space-time finite element discretizations of linear parabolic evolution equations. (English) Zbl 1262.65114 IMA J. Numer. Anal. 33, No. 1, 242-260 (2013). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M12 65M60 35K90 PDFBibTeX XMLCite \textit{R. Andreev}, IMA J. Numer. Anal. 33, No. 1, 242--260 (2013; Zbl 1262.65114) Full Text: DOI
Gordon, Andrew D.; Powell, Catherine E. On solving stochastic collocation systems with algebraic multigrid. (English) Zbl 1248.65007 IMA J. Numer. Anal. 32, No. 3, 1051-1070 (2012). MSC: 65C30 60H15 60H35 35R60 35J25 65N30 65N55 65F08 PDFBibTeX XMLCite \textit{A. D. Gordon} and \textit{C. E. Powell}, IMA J. Numer. Anal. 32, No. 3, 1051--1070 (2012; Zbl 1248.65007) Full Text: DOI Link
Chegini, Nabi; Stevenson, Rob The adaptive tensor product wavelet scheme: sparse matrices and the application to singularly perturbed problems. (English) Zbl 1242.65292 IMA J. Numer. Anal. 32, No. 1, 75-104 (2012). Reviewer: Nicolae Pop (Baia Mare) MSC: 65T60 65N30 35J25 35B25 65Y20 PDFBibTeX XMLCite \textit{N. Chegini} and \textit{R. Stevenson}, IMA J. Numer. Anal. 32, No. 1, 75--104 (2012; Zbl 1242.65292) Full Text: DOI Link
Liu, Fang; Madden, Niall; Stynes, Martin; Zhou, Aihui A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions. (English) Zbl 1188.65153 IMA J. Numer. Anal. 29, No. 4, 986-1007 (2009). Reviewer: Kai Schneider (Marseille) MSC: 65N30 35J25 65N50 65N12 PDFBibTeX XMLCite \textit{F. Liu} et al., IMA J. Numer. Anal. 29, No. 4, 986--1007 (2009; Zbl 1188.65153) Full Text: DOI
Hackbusch, W.; Kress, W.; Sauter, S. A. Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. (English) Zbl 1178.65121 IMA J. Numer. Anal. 29, No. 1, 158-179 (2009). Reviewer: Petr Sváček (Praha) MSC: 65M70 35L05 PDFBibTeX XMLCite \textit{W. Hackbusch} et al., IMA J. Numer. Anal. 29, No. 1, 158--179 (2009; Zbl 1178.65121) Full Text: DOI Link
Todor, Radu-Alexandru A new approach to energy-based sparse finite-element spaces. (English) Zbl 1159.65095 IMA J. Numer. Anal. 29, No. 1, 72-85 (2009). Reviewer: Jan Lovíšek (Bratislava) MSC: 65N30 65N15 65N50 65N55 35J25 PDFBibTeX XMLCite \textit{R.-A. Todor}, IMA J. Numer. Anal. 29, No. 1, 72--85 (2009; Zbl 1159.65095) Full Text: DOI Link
Benzi, Michele; Bertaccini, Daniele Block preconditioning of real-valued iterative algorithms for complex linear systems. (English) Zbl 1145.65022 IMA J. Numer. Anal. 28, No. 3, 598-618 (2008). MSC: 65F10 65F35 65F50 65N06 35J05 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{D. Bertaccini}, IMA J. Numer. Anal. 28, No. 3, 598--618 (2008; Zbl 1145.65022) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{R. A. Todor} and \textit{C. Schwab}, IMA J. Numer. Anal. 27, No. 2, 232--261 (2007; Zbl 1120.65004) Full Text: DOI Link
Higham, Desmond J. Spectral reordering of a range-dependent weighted random graph. (English) Zbl 1077.92001 IMA J. Numer. Anal. 25, No. 3, 443-457 (2005). MSC: 92B05 05C80 92-08 05C90 62P10 92C20 92C55 PDFBibTeX XMLCite \textit{D. J. Higham}, IMA J. Numer. Anal. 25, No. 3, 443--457 (2005; Zbl 1077.92001) Full Text: DOI Link
Cardenal, Jesús; Duff, Iain S.; Jiménez, José M. Solution of sparse quasi-square rectangular systems by Gaussian elimination. (English) Zbl 0903.65035 IMA J. Numer. Anal. 18, No. 2, 165-177 (1998). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F20 65F05 PDFBibTeX XMLCite \textit{J. Cardenal} et al., IMA J. Numer. Anal. 18, No. 2, 165--177 (1998; Zbl 0903.65035) Full Text: DOI
Gould, Nicholas I. M. An algorithm for large-scale quadratic programming. (English) Zbl 0727.65055 IMA J. Numer. Anal. 11, No. 3, 299-234 (1991). Reviewer: K.Schittkowski (Bayreuth) MSC: 65K05 90C20 90C06 PDFBibTeX XMLCite \textit{N. I. M. Gould}, IMA J. Numer. Anal. 11, No. 3, 299--234 (1991; Zbl 0727.65055) Full Text: DOI
Khor, K. E. A factorization-related method for elliptic partial differential equations with iterative improvement. (English) Zbl 0706.65101 IMA J. Numer. Anal. 10, No. 3, 407-424 (1990). Reviewer: P.Kloucek MSC: 65N22 65N06 35J25 65F05 PDFBibTeX XMLCite \textit{K. E. Khor}, IMA J. Numer. Anal. 10, No. 3, 407--424 (1990; Zbl 0706.65101) Full Text: DOI
Duff, Iain S.; Nowak, Ulrich On sparse solvers in a stiff integrator of extrapolation type. (English) Zbl 0634.65054 IMA J. Numer. Anal. 7, 391-405 (1987). Reviewer: I.Dvořák MSC: 65L05 65F05 34-04 80A30 65F50 PDFBibTeX XMLCite \textit{I. S. Duff} and \textit{U. Nowak}, IMA J. Numer. Anal. 7, 391--405 (1987; Zbl 0634.65054) Full Text: DOI