Xia, Jianlin Robust and effective eSIF preconditioning for general dense SPD matrices. (English) Zbl 07418129 SIAM J. Sci. Comput. 43, No. 5, S767-S790 (2021). MSC: 65F10 65F30 PDFBibTeX XMLCite \textit{J. Xia}, SIAM J. Sci. Comput. 43, No. 5, S767--S790 (2021; Zbl 07418129) Full Text: DOI arXiv
Liu, Jialin; Yin, Wotao; Li, Wuchen; Chow, Yat Tin Multilevel optimal transport: a fast approximation of Wasserstein-1 distances. (English) Zbl 1456.49038 SIAM J. Sci. Comput. 43, No. 1, A193-A220 (2021). MSC: 49Q22 49M25 90C90 PDFBibTeX XMLCite \textit{J. Liu} et al., SIAM J. Sci. Comput. 43, No. 1, A193--A220 (2021; Zbl 1456.49038) Full Text: DOI arXiv
Wu, Yue; Polydorides, Nick A multilevel Monte Carlo estimator for matrix multiplication. (English) Zbl 1492.65129 SIAM J. Sci. Comput. 42, No. 5, A2731-A2749 (2020). MSC: 65F99 65C05 68W20 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{N. Polydorides}, SIAM J. Sci. Comput. 42, No. 5, A2731--A2749 (2020; Zbl 1492.65129) Full Text: DOI arXiv
Herrmann, Julien; Özkaya, M. Yusuf; Uçar, Bora; Kaya, Kamer; Çatalyürek, ÜMit V. Multilevel algorithms for acyclic partitioning of directed acyclic graphs. (English) Zbl 1418.05108 SIAM J. Sci. Comput. 41, No. 4, A2117-A2145 (2019). MSC: 05C70 05C85 05C38 68R10 68W05 PDFBibTeX XMLCite \textit{J. Herrmann} et al., SIAM J. Sci. Comput. 41, No. 4, A2117--A2145 (2019; Zbl 1418.05108) Full Text: DOI
Šukys, Jonas; Rasthofer, Ursula; Wermelinger, Fabian; Hadjidoukas, Panagiotis; Koumoutsakos, Petros Multilevel control variates for uncertainty quantification in simulations of cloud cavitation. (English) Zbl 1401.76033 SIAM J. Sci. Comput. 40, No. 5, B1361-B1390 (2018). MSC: 76B10 68W10 65C05 65C60 68M15 PDFBibTeX XMLCite \textit{J. Šukys} et al., SIAM J. Sci. Comput. 40, No. 5, B1361--B1390 (2018; Zbl 1401.76033) Full Text: DOI
Brown, Kirsty L.; Gejadze, Igor; Ramage, Alison A multilevel approach for computing the limited-memory Hessian and its inverse in variational data assimilation. (English) Zbl 1348.65074 SIAM J. Sci. Comput. 38, No. 5, A2934-A2963 (2016). MSC: 65F30 65F08 15A09 65F15 PDFBibTeX XMLCite \textit{K. L. Brown} et al., SIAM J. Sci. Comput. 38, No. 5, A2934--A2963 (2016; Zbl 1348.65074) Full Text: DOI
Chow, Yat Tin; Ito, Kazufumi; Zou, Jun Analysis on a nonnegative matrix factorization and its applications. (English) Zbl 1347.15018 SIAM J. Sci. Comput. 38, No. 5, B645-B684 (2016). MSC: 15A23 15B48 15A29 65F50 15A69 65F30 PDFBibTeX XMLCite \textit{Y. T. Chow} et al., SIAM J. Sci. Comput. 38, No. 5, B645--B684 (2016; Zbl 1347.15018) Full Text: DOI arXiv
Moraes, Alvaro; Tempone, Raul; Vilanova, Pedro A multilevel adaptive reaction-splitting simulation method for stochastic reaction networks. (English) Zbl 1355.65020 SIAM J. Sci. Comput. 38, No. 4, A2091-A2117 (2016). MSC: 65C50 65C05 60J75 60J27 92C40 PDFBibTeX XMLCite \textit{A. Moraes} et al., SIAM J. Sci. Comput. 38, No. 4, A2091--A2117 (2016; Zbl 1355.65020) Full Text: DOI arXiv
Riesinger, Christoph; Neckel, Tobias; Rupp, Florian Solving random ordinary differential equations on GPU clusters using multiple levels of parallelism. (English) Zbl 1382.65024 SIAM J. Sci. Comput. 38, No. 4, C372-C402 (2016). MSC: 65C30 65Y05 65Y10 34F05 60H25 65C05 65L06 68U20 PDFBibTeX XMLCite \textit{C. Riesinger} et al., SIAM J. Sci. Comput. 38, No. 4, C372--C402 (2016; Zbl 1382.65024) Full Text: DOI
Benson, Austin R.; Poulson, Jack; Tran, Kenneth; Engquist, Björn; Ying, Lexing A parallel directional fast multipole method. (English) Zbl 1305.78017 SIAM J. Sci. Comput. 36, No. 4, C335-C352 (2014). MSC: 78M25 65N80 65Y05 65Y20 78A45 70F10 PDFBibTeX XMLCite \textit{A. R. Benson} et al., SIAM J. Sci. Comput. 36, No. 4, C335--C352 (2014; Zbl 1305.78017) Full Text: DOI arXiv
Li, Ruipeng; Saad, Yousef Divide and conquer low-rank preconditioners for symmetric matrices. (English) Zbl 1362.65036 SIAM J. Sci. Comput. 35, No. 4, A2069-A2095 (2013). MSC: 65F08 65F10 65N22 65N55 65Y05 65Y20 PDFBibTeX XMLCite \textit{R. Li} and \textit{Y. Saad}, SIAM J. Sci. Comput. 35, No. 4, A2069--A2095 (2013; Zbl 1362.65036) Full Text: DOI
Brix, Kolja; Massjung, Ralf; Voss, Alexander Refinement and connectivity algorithms for adaptive discontinuous Galerkin methods. (English) Zbl 1227.65092 SIAM J. Sci. Comput. 33, No. 1, 66-101 (2011). MSC: 65M60 35L04 65M50 65M55 PDFBibTeX XMLCite \textit{K. Brix} et al., SIAM J. Sci. Comput. 33, No. 1, 66--101 (2011; Zbl 1227.65092) Full Text: DOI Link
Benzi, Michele; Haber, Eldad; Taralli, Lauren Multilevel algorithms for large-scale interior point methods. (English) Zbl 1205.65199 SIAM J. Sci. Comput. 31, No. 6, 4152-4175 (2009). MSC: 65K10 65F08 90C06 90C51 49J20 49M37 90C53 65F10 PDFBibTeX XMLCite \textit{M. Benzi} et al., SIAM J. Sci. Comput. 31, No. 6, 4152--4175 (2009; Zbl 1205.65199) Full Text: DOI
MacLachlan, S.; Saad, Yousef A greedy strategy for coarse-grid selection. (English) Zbl 1154.65016 SIAM J. Sci. Comput. 29, No. 5, 1825-1853 (2007). Reviewer: Jiri Náprstek (Praha) MSC: 65F10 65N55 65F50 65N22 65F35 35J25 65Y20 PDFBibTeX XMLCite \textit{S. MacLachlan} and \textit{Y. Saad}, SIAM J. Sci. Comput. 29, No. 5, 1825--1853 (2007; Zbl 1154.65016) Full Text: DOI
Schenk, Olaf; Bollhöfer, Matthias; Römer, Rudolf A. On large-scale diagonalization techniques for the Anderson model of localization. (English) Zbl 1116.65046 SIAM J. Sci. Comput. 28, No. 3, 963-983 (2006). MSC: 65F15 65F50 82B44 05C85 PDFBibTeX XMLCite \textit{O. Schenk} et al., SIAM J. Sci. Comput. 28, No. 3, 963--983 (2006; Zbl 1116.65046) Full Text: DOI arXiv
Griebel, Michael; Oeltz, Daniel; Vassilevski, Panayot Space-time approximation with sparse grids. (English) Zbl 1114.35082 SIAM J. Sci. Comput. 28, No. 2, 701-727 (2006). Reviewer: Jialin Hong (Beijing) MSC: 35K20 65M50 65M55 65Y20 PDFBibTeX XMLCite \textit{M. Griebel} et al., SIAM J. Sci. Comput. 28, No. 2, 701--727 (2006; Zbl 1114.35082) Full Text: DOI Link
Ascher, U. M.; Haber, E.; Huang, H. On effective methods for implicit piecewise smooth surface recovery. (English) Zbl 1104.65320 SIAM J. Sci. Comput. 28, No. 1, 339-358 (2006). MSC: 65N21 35R30 PDFBibTeX XMLCite \textit{U. M. Ascher} et al., SIAM J. Sci. Comput. 28, No. 1, 339--358 (2006; Zbl 1104.65320) Full Text: DOI Link
Aksoylu, Burak; Khodakovsky, Andrei; Schröder, Peter Multilevel solvers for unstructured surface meshes. (English) Zbl 1075.65027 SIAM J. Sci. Comput. 26, No. 4, 1146-1165 (2005). MSC: 65D18 65Y20 65F10 65F35 65F50 PDFBibTeX XMLCite \textit{B. Aksoylu} et al., SIAM J. Sci. Comput. 26, No. 4, 1146--1165 (2005; Zbl 1075.65027) Full Text: DOI
Aksoylu, Burak; Bond, Stephen; Holst, Michael An Odyssey into local refinement and multilevel preconditioning. III: Implementation and numerical experiments. (English) Zbl 1048.65104 SIAM J. Sci. Comput. 25, No. 2, 478-498 (2003). MSC: 65N30 65N50 65N55 65N12 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{B. Aksoylu} et al., SIAM J. Sci. Comput. 25, No. 2, 478--498 (2003; Zbl 1048.65104) Full Text: DOI arXiv
Chan, Tony F.; Chen, Ke On two variants of an algebraic wavelet preconditioner. (English) Zbl 1013.65040 SIAM J. Sci. Comput. 24, No. 1, 260-283 (2002). MSC: 65F35 65Y20 65F10 65N06 65T60 35J25 65N55 PDFBibTeX XMLCite \textit{T. F. Chan} and \textit{K. Chen}, SIAM J. Sci. Comput. 24, No. 1, 260--283 (2002; Zbl 1013.65040) Full Text: DOI
Hu, Y. F.; Scott, J. A. A multilevel algorithm for wavefront reduction. (English) Zbl 0999.65022 SIAM J. Sci. Comput. 23, No. 4, 1352-1375 (2001). MSC: 65F30 65F50 PDFBibTeX XMLCite \textit{Y. F. Hu} and \textit{J. A. Scott}, SIAM J. Sci. Comput. 23, No. 4, 1352--1375 (2001; Zbl 0999.65022) Full Text: DOI
Bridson, Robert; Tang, Wei-Pai Multiresolution approximate inverse preconditioners. (English) Zbl 0992.65027 SIAM J. Sci. Comput. 23, No. 2, 463-479 (2001). MSC: 65F10 65N55 35J25 65N30 65F35 65F50 PDFBibTeX XMLCite \textit{R. Bridson} and \textit{W.-P. Tang}, SIAM J. Sci. Comput. 23, No. 2, 463--479 (2001; Zbl 0992.65027) Full Text: DOI
Walshaw, C.; Cross, M. Mesh partitioning: A multilevel balancing and refinement algorithm. (English) Zbl 0968.05074 SIAM J. Sci. Comput. 22, No. 1, 63-80 (2000). Reviewer: Zhi-Hong Chen (Indianapolis) MSC: 05C85 65Y05 PDFBibTeX XMLCite \textit{C. Walshaw} and \textit{M. Cross}, SIAM J. Sci. Comput. 22, No. 1, 63--80 (2000; Zbl 0968.05074) Full Text: DOI
Vassilevski, Panayot S.; Wang, Junping Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. (English) Zbl 0924.65108 SIAM J. Sci. Comput. 20, No. 2, 490-514 (1999). Reviewer: K.Najzar (Praha) MSC: 65N55 65N30 35J25 65Y20 65F10 65F35 PDFBibTeX XMLCite \textit{P. S. Vassilevski} and \textit{J. Wang}, SIAM J. Sci. Comput. 20, No. 2, 490--514 (1999; Zbl 0924.65108) Full Text: DOI
Jung, Michael; Rüde, Ulrich Implicit extrapolation methods for multilevel finite element computations. (English) Zbl 0852.65113 SIAM J. Sci. Comput. 17, No. 1, 156-179 (1996). Reviewer: K.Georgiev (Sofia) MSC: 65N55 65F10 65Y20 65N30 74B10 35K05 PDFBibTeX XMLCite \textit{M. Jung} and \textit{U. Rüde}, SIAM J. Sci. Comput. 17, No. 1, 156--179 (1996; Zbl 0852.65113) Full Text: DOI Link
Kelley, C. T.; Sachs, E. W. Multilevel algorithms for constrained compact fixed point problems. (English) Zbl 0804.65061 SIAM J. Sci. Comput. 15, No. 3, 645-667 (1994). Reviewer: Z.Mei (Toowoomba) MSC: 65K10 49M15 49J27 PDFBibTeX XMLCite \textit{C. T. Kelley} and \textit{E. W. Sachs}, SIAM J. Sci. Comput. 15, No. 3, 645--667 (1994; Zbl 0804.65061) Full Text: DOI Link
Zhang, Xuejun Multilevel Schwarz methods for the biharmonic Dirichlet problem. (English) Zbl 0803.65118 SIAM J. Sci. Comput. 15, No. 3, 621-644 (1994). Reviewer: S.F.McCormick (Boulder) MSC: 65N55 65N30 65F10 65F35 65N15 31A30 35J40 PDFBibTeX XMLCite \textit{X. Zhang}, SIAM J. Sci. Comput. 15, No. 3, 621--644 (1994; Zbl 0803.65118) Full Text: DOI
Cai, Xiao-Chuan Multiplicative Schwarz methods for parabolic problems. (English) Zbl 0803.65096 SIAM J. Sci. Comput. 15, No. 3, 587-603 (1994). Reviewer: S.F.McCormick (Boulder) MSC: 65M55 65M60 65M12 35K15 PDFBibTeX XMLCite \textit{X.-C. Cai}, SIAM J. Sci. Comput. 15, No. 3, 587--603 (1994; Zbl 0803.65096) Full Text: DOI Link
Cai, Zhiqiang; Goldstein, Charles I.; Pasciak, Joseph E. Multilevel iteration for mixed finite element systems with penalty. (English) Zbl 0809.65114 SIAM J. Sci. Comput. 14, No. 5, 1072-1088 (1993). Reviewer: O.Widlund (New York) MSC: 65N55 65N30 65F10 65Y20 35J05 PDFBibTeX XMLCite \textit{Z. Cai} et al., SIAM J. Sci. Comput. 14, No. 5, 1072--1088 (1993; Zbl 0809.65114) Full Text: DOI