El Ouafa, Simon; Vincent, Stéphane; Le Chenadec, Vincent; Trouette, Benoît Fully-coupled parallel solver for the simulation of two-phase incompressible flows. (English) Zbl 1521.76016 Comput. Fluids 265, Article ID 105995, 15 p. (2023). MSC: 76-10 PDFBibTeX XMLCite \textit{S. El Ouafa} et al., Comput. Fluids 265, Article ID 105995, 15 p. (2023; Zbl 1521.76016) Full Text: DOI
Petkov, Petko H.; Konstantinov, Mihail M. The numerical Jordan form. (English) Zbl 1482.65059 Linear Algebra Appl. 638, 1-45 (2022). MSC: 65F15 65F22 15A20 15A21 47A55 PDFBibTeX XMLCite \textit{P. H. Petkov} and \textit{M. M. Konstantinov}, Linear Algebra Appl. 638, 1--45 (2022; Zbl 1482.65059) Full Text: DOI
El Ouafa, Mohamed; Vincent, Stéphane; Le Chenadec, Vincent Navier-Stokes solvers for incompressible single- and two-phase flows. (English) Zbl 1480.76078 Commun. Comput. Phys. 29, No. 4, 1213-1245 (2021). MSC: 76M12 76D05 76T06 PDFBibTeX XMLCite \textit{M. El Ouafa} et al., Commun. Comput. Phys. 29, No. 4, 1213--1245 (2021; Zbl 1480.76078) Full Text: DOI
de Almeida, Moisés Ceni; da Cruz, Julia Sekiguchi; Goldfeld, Paulo; Carvalho, Luiz Mariano; Souza, Michael Supporting theory for a block approximate inverse preconditioner. (English) Zbl 1460.65030 Linear Algebra Appl. 614, 325-342 (2021). MSC: 65F08 65F10 65F50 65Y05 65Y10 PDFBibTeX XMLCite \textit{M. C. de Almeida} et al., Linear Algebra Appl. 614, 325--342 (2021; Zbl 1460.65030) Full Text: DOI
Dax, Achiya Computing the smallest singular triplets of a large matrix. (English) Zbl 1452.65065 Results Appl. Math. 3, Article ID 100006, 13 p. (2019). MSC: 65F15 65F25 65F50 PDFBibTeX XMLCite \textit{A. Dax}, Results Appl. Math. 3, Article ID 100006, 13 p. (2019; Zbl 1452.65065) Full Text: DOI
Mohanty, Sraban Kumar; Sajith, G. An input/output efficient algorithm for Hessenberg reduction. (English) Zbl 1480.65110 Int. J. Found. Comput. Sci. 30, No. 8, 1279-1300 (2019). MSC: 65F99 68W40 15A23 PDFBibTeX XMLCite \textit{S. K. Mohanty} and \textit{G. Sajith}, Int. J. Found. Comput. Sci. 30, No. 8, 1279--1300 (2019; Zbl 1480.65110) Full Text: DOI
Lang, Bruno Efficient reduction of banded Hermitian positive definite generalized eigenvalue problems to banded standard eigenvalue problems. (English) Zbl 1455.65055 SIAM J. Sci. Comput. 41, No. 1, C52-C72 (2019). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65-04 PDFBibTeX XMLCite \textit{B. Lang}, SIAM J. Sci. Comput. 41, No. 1, C52--C72 (2019; Zbl 1455.65055) Full Text: DOI
Cools, Siegfried; Yetkin, Emrullah Fatih; Agullo, Emmanuel; Giraud, Luc; Vanroose, Wim Analyzing the effect of local rounding error propagation on the maximal attainable accuracy of the pipelined conjugate gradient method. (English) Zbl 1392.65048 SIAM J. Matrix Anal. Appl. 39, No. 1, 426-450 (2018). MSC: 65F10 65F50 65G50 65Y05 65Y20 PDFBibTeX XMLCite \textit{S. Cools} et al., SIAM J. Matrix Anal. Appl. 39, No. 1, 426--450 (2018; Zbl 1392.65048) Full Text: DOI arXiv
Chen, Cheng; Fang, Jianbin; Tang, Tao; Yang, Canqun LU factorization on heterogeneous systems: an energy-efficient approach towards high performance. (English) Zbl 1372.65091 Computing 99, No. 8, 791-811 (2017). MSC: 65F05 15A23 65Y05 65Y10 65Y20 PDFBibTeX XMLCite \textit{C. Chen} et al., Computing 99, No. 8, 791--811 (2017; Zbl 1372.65091) Full Text: DOI
Bentbib, A. H.; El Guide, M.; Jbilou, K.; Reichel, L. Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems. (English) Zbl 1365.65102 J. Comput. Appl. Math. 322, 46-56 (2017). MSC: 65F22 65F10 65R20 45B05 65R30 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., J. Comput. Appl. Math. 322, 46--56 (2017; Zbl 1365.65102) Full Text: DOI
Dumas, Jean-Guillaume; Pernet, Clément; Sultan, Ziad Fast computation of the rank profile matrix and the generalized Bruhat decomposition. (English) Zbl 1375.65045 J. Symb. Comput. 83, 187-210 (2017). MSC: 65F05 15A03 15A23 PDFBibTeX XMLCite \textit{J.-G. Dumas} et al., J. Symb. Comput. 83, 187--210 (2017; Zbl 1375.65045) Full Text: DOI arXiv
Bai, Yu-Qin; Huang, Ting-Zhu; Luo, Wei-Hua Accelerated preconditioner updates for solving shifted linear systems. (English) Zbl 1371.65027 Int. J. Comput. Math. 94, No. 4, 747-756 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F08 65F50 PDFBibTeX XMLCite \textit{Y.-Q. Bai} et al., Int. J. Comput. Math. 94, No. 4, 747--756 (2017; Zbl 1371.65027) Full Text: DOI
Tsui, Hong Pak; Bushe, William Kendal Conditional source-term estimation using dynamic ensemble selection and parallel iterative solution. (English) Zbl 1519.80206 Combust. Theory Model. 20, No. 5, 812-833 (2016). MSC: 80A25 76F25 PDFBibTeX XMLCite \textit{H. P. Tsui} and \textit{W. K. Bushe}, Combust. Theory Model. 20, No. 5, 812--833 (2016; Zbl 1519.80206) Full Text: DOI
Koric, Seid; Gupta, Anshul Sparse matrix factorization in the implicit finite element method on petascale architecture. (English) Zbl 1425.65062 Comput. Methods Appl. Mech. Eng. 302, 281-292 (2016). MSC: 65F50 65N22 65N30 65Y05 74M25 PDFBibTeX XMLCite \textit{S. Koric} and \textit{A. Gupta}, Comput. Methods Appl. Mech. Eng. 302, 281--292 (2016; Zbl 1425.65062) Full Text: DOI
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M. A survey of direct methods for sparse linear systems. (English) Zbl 1346.65011 Acta Numerica 25, 383-566 (2016). Reviewer: Liu Xinguo (Qingdao) MSC: 65F05 65F50 65-02 65Y05 68W30 PDFBibTeX XMLCite \textit{T. A. Davis} et al., Acta Numerica 25, 383--566 (2016; Zbl 1346.65011) Full Text: DOI Link
Sorensen, D. C.; Embree, Mark A DEIM induced CUR factorization. (English) Zbl 1382.65121 SIAM J. Sci. Comput. 38, No. 3, A1454-A1482 (2016). MSC: 65F30 15A23 47A58 65F35 68W25 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{M. Embree}, SIAM J. Sci. Comput. 38, No. 3, A1454--A1482 (2016; Zbl 1382.65121) Full Text: DOI arXiv
Cerdán, Juana; Marín, José; Mas, José A block compression algorithm for computing preconditioners. (English) Zbl 1326.65038 Casas, Fernando (ed.) et al., Advances in differential equations and applications. Selected contributions given at the 23rd congress on differential equations and applications, CEDYA/13th congress of applied mathematics, CMA, September 9–13, 2013. Cham: Springer (ISBN 978-3-319-06952-4/hbk; 978-3-319-06953-1/ebook). SEMA SIMAI Springer Series 4, 259-266 (2015). MSC: 65F08 PDFBibTeX XMLCite \textit{J. Cerdán} et al., SEMA SIMAI Springer Ser. 4, 259--266 (2015; Zbl 1326.65038) Full Text: DOI
Lingen, F. J.; Bonnier, P. G.; Brinkgreve, R. B. J.; van Gijzen, M. B.; Vuik, C. A parallel linear solver exploiting the physical properties of the underlying mechanical problem. (English) Zbl 1396.65155 Comput. Geosci. 18, No. 6, 913-926 (2014). MSC: 65N55 86-08 PDFBibTeX XMLCite \textit{F. J. Lingen} et al., Comput. Geosci. 18, No. 6, 913--926 (2014; Zbl 1396.65155) Full Text: DOI Link
Carpentieri, Bruno; Liao, Jia; Sosonkina, Masha VBARMS: a variable block algebraic recursive multilevel solver for sparse linear systems. (English) Zbl 1291.65095 J. Comput. Appl. Math. 259, Part A, 164-173 (2014). MSC: 65F10 65F50 65F08 PDFBibTeX XMLCite \textit{B. Carpentieri} et al., J. Comput. Appl. Math. 259, Part A, 164--173 (2014; Zbl 1291.65095) Full Text: DOI
Pardo, David; Paszynski, Maciej; Collier, Nathan; Alvarez, Julen; Dalcin, Lisandro; Calo, Victor M. A survey on direct solvers for Galerkin methods. (English) Zbl 1311.65030 S\(\vec{\text{e}}\)MA J. 57, 107-134 (2012). MSC: 65F05 65-02 65Y05 65F35 65F50 65N30 65G50 PDFBibTeX XMLCite \textit{D. Pardo} et al., S\(\vec{\text{e}}\)MA J. 57, 107--134 (2012; Zbl 1311.65030) Full Text: DOI
Benner, Peter; Embree, Mark; Lehoucq, Richard B.; Kelley, C. T. A mathematical biography of Danny C. Sorensen. (English) Zbl 1238.01104 Linear Algebra Appl. 436, No. 8, 2717-2724 (2012). MSC: 01A70 PDFBibTeX XMLCite \textit{P. Benner} et al., Linear Algebra Appl. 436, No. 8, 2717--2724 (2012; Zbl 1238.01104) Full Text: DOI
Carvalho, João B.; Datta, Biswa N. A new algorithm for generalized Sylvester-observer equation and its application to state and velocity estimations in vibrating systems. (English) Zbl 1265.65077 Numer. Linear Algebra Appl. 18, No. 4, 617-632 (2011). MSC: 65F30 15A24 93C05 65F20 93B07 74H45 PDFBibTeX XMLCite \textit{J. B. Carvalho} and \textit{B. N. Datta}, Numer. Linear Algebra Appl. 18, No. 4, 617--632 (2011; Zbl 1265.65077) Full Text: DOI
De Hoog, F. R.; Anderssen, R. S.; Lukas, M. A. Differentiation of matrix functionals using triangular factorization. (English) Zbl 1219.65044 Math. Comput. 80, No. 275, 1585-1600 (2011). MSC: 65F30 65F05 65D25 15A15 PDFBibTeX XMLCite \textit{F. R. De Hoog} et al., Math. Comput. 80, No. 275, 1585--1600 (2011; Zbl 1219.65044) Full Text: DOI
Du, L.; Sogabe, T.; Yu, B.; Yamamoto, Y.; Zhang, S.-L. A block IDR\((s)\) method for nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1219.65037 J. Comput. Appl. Math. 235, No. 14, 4095-4106 (2011). MSC: 65F10 PDFBibTeX XMLCite \textit{L. Du} et al., J. Comput. Appl. Math. 235, No. 14, 4095--4106 (2011; Zbl 1219.65037) Full Text: DOI
Fatyanov, Alexey G.; Terekhov, Andrew V. High-performance modeling acoustic and elastic waves using the parallel dichotomy algorithm. (English) Zbl 1391.76688 J. Comput. Phys. 230, No. 5, 1992-2003 (2011). MSC: 76Q05 74J05 76M20 65N06 65Y05 74S20 PDFBibTeX XMLCite \textit{A. G. Fatyanov} and \textit{A. V. Terekhov}, J. Comput. Phys. 230, No. 5, 1992--2003 (2011; Zbl 1391.76688) Full Text: DOI arXiv
Anzt, Hartwig; Heuveline, Vincent; Rocker, Björn An error correction solver for linear systems: evaluation of mixed precision implementations. (English) Zbl 1323.65025 Palma, José M. Laginha M. (ed.) et al., High performance computing for computational science – VECPAR 2010. 9th international conference, Berkeley, CA, USA, June 22–25, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-19327-9/pbk). Lecture Notes in Computer Science 6449, 58-70 (2011). MSC: 65F10 65F50 65Y10 76M10 PDFBibTeX XMLCite \textit{H. Anzt} et al., Lect. Notes Comput. Sci. 6449, 58--70 (2011; Zbl 1323.65025) Full Text: DOI Link
Collignon, Tijmen P.; van Gijzen, Martin B. Two implementations of the preconditioned conjugate gradient method on heterogeneous computing grids. (English) Zbl 1300.65097 Int. J. Appl. Math. Comput. Sci. 20, No. 1, 109-121 (2010). MSC: 65Y10 65F10 93A15 PDFBibTeX XMLCite \textit{T. P. Collignon} and \textit{M. B. van Gijzen}, Int. J. Appl. Math. Comput. Sci. 20, No. 1, 109--121 (2010; Zbl 1300.65097) Full Text: DOI
Chronopoulos, Anthony T.; Kucherov, Andrey B. Block-\(s\)-step Krylov iterative methods. (English) Zbl 1240.65107 Numer. Linear Algebra Appl. 17, No. 1, 3-15 (2010). MSC: 65F10 65Y05 PDFBibTeX XMLCite \textit{A. T. Chronopoulos} and \textit{A. B. Kucherov}, Numer. Linear Algebra Appl. 17, No. 1, 3--15 (2010; Zbl 1240.65107) Full Text: DOI
Georgescu, Serban; Okuda, Hiroshi Conjugate gradients on multiple GPUs. (English) Zbl 1206.65131 Int. J. Numer. Methods Fluids 64, No. 10-12, 1254-1273 (2010). MSC: 65F10 65F35 65F50 PDFBibTeX XMLCite \textit{S. Georgescu} and \textit{H. Okuda}, Int. J. Numer. Methods Fluids 64, No. 10--12, 1254--1273 (2010; Zbl 1206.65131) Full Text: DOI
Terekhov, Andrew V. Parallel Dichotomy Algorithm for solving tridiagonal system of linear equations with multiple right-hand sides. (English) Zbl 1205.68502 Parallel Comput. 36, No. 8, 423-438 (2010). MSC: 68W10 PDFBibTeX XMLCite \textit{A. V. Terekhov}, Parallel Comput. 36, No. 8, 423--438 (2010; Zbl 1205.68502) Full Text: DOI arXiv
Talischi, Cameron; Paulino, Glaucio H.; Pereira, Anderson; Menezes, Ivan F. M. Polygonal finite elements for topology optimization: a unifying paradigm. (English) Zbl 1188.74072 Int. J. Numer. Methods Eng. 82, No. 6, 671-698 (2010). MSC: 74S05 74P15 65K10 PDFBibTeX XMLCite \textit{C. Talischi} et al., Int. J. Numer. Methods Eng. 82, No. 6, 671--698 (2010; Zbl 1188.74072) Full Text: DOI
Pan, Victor Y.; Qian, Guoliang Randomized preprocessing of homogeneous linear systems of equations. (English) Zbl 1202.65038 Linear Algebra Appl. 432, No. 12, 3272-3318 (2010). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F05 65F08 65F20 65F35 PDFBibTeX XMLCite \textit{V. Y. Pan} and \textit{G. Qian}, Linear Algebra Appl. 432, No. 12, 3272--3318 (2010; Zbl 1202.65038) Full Text: DOI
Boyle, Jonathan; Mihajlovi, Milan; Scott, Jennifer HSL_MI20: an efficient AMG preconditioner for finite element problems in 3D. (English) Zbl 1183.76799 Int. J. Numer. Methods Eng. 82, No. 1, 64-98 (2010). MSC: 76M10 76R99 65F10 65F50 PDFBibTeX XMLCite \textit{J. Boyle} et al., Int. J. Numer. Methods Eng. 82, No. 1, 64--98 (2010; Zbl 1183.76799) Full Text: DOI
Yeo, Kyongmin; Maxey, Martin R. Simulation of concentrated suspensions using the force-coupling method. (English) Zbl 1303.76012 J. Comput. Phys. 229, No. 6, 2401-2421 (2010). MSC: 76D08 76D07 76M25 PDFBibTeX XMLCite \textit{K. Yeo} and \textit{M. R. Maxey}, J. Comput. Phys. 229, No. 6, 2401--2421 (2010; Zbl 1303.76012) Full Text: DOI
Ferronato, Massimiliano; Pini, Giorgio; Gambolati, Giuseppe The role of preconditioning in the solution to FE coupled consolidation equations by Krylov subspace methods. (English) Zbl 1272.74610 Int. J. Numer. Anal. Methods Geomech. 33, No. 3, 405-423 (2009). MSC: 74S05 74L10 74F10 PDFBibTeX XMLCite \textit{M. Ferronato} et al., Int. J. Numer. Anal. Methods Geomech. 33, No. 3, 405--423 (2009; Zbl 1272.74610) Full Text: DOI
Gravvanis, George A. High performance inverse preconditioning. (English) Zbl 1172.65019 Arch. Comput. Methods Eng. 16, No. 1, 77-108 (2009). MSC: 65F35 65F10 65F50 65Y05 65Y20 65-02 PDFBibTeX XMLCite \textit{G. A. Gravvanis}, Arch. Comput. Methods Eng. 16, No. 1, 77--108 (2009; Zbl 1172.65019) Full Text: DOI
Graves-Morris, P. R. VPAStab\((J,L)\): an iterative method with look-ahead for the solution of large sparse linear systems. (English) Zbl 1169.65026 J. Comput. Appl. Math. 230, No. 2, 674-689 (2009). MSC: 65F10 65F50 PDFBibTeX XMLCite \textit{P. R. Graves-Morris}, J. Comput. Appl. Math. 230, No. 2, 674--689 (2009; Zbl 1169.65026) Full Text: DOI
Janna, Carlo; Comerlati, Andrea; Gambolati, Giuseppe A comparison of projective and direct solvers for finite elements in elastostatics. (English) Zbl 1272.74613 Adv. Eng. Softw. 40, No. 8, 675-685 (2009). MSC: 74S05 PDFBibTeX XMLCite \textit{C. Janna} et al., Adv. Eng. Softw. 40, No. 8, 675--685 (2009; Zbl 1272.74613) Full Text: DOI
Sifalakis, A. G.; Fulton, S. R.; Papadopoulou, E. P.; Saridakis, Y. G. Direct and iterative solution of the generalized Dirichlet-Neumann map for elliptic PDEs on square domains. (English) Zbl 1183.65154 J. Comput. Appl. Math. 227, No. 1, 171-184 (2009). Reviewer: Petr Necesal (Plzen) MSC: 65N35 35J25 35J05 65F05 65F10 PDFBibTeX XMLCite \textit{A. G. Sifalakis} et al., J. Comput. Appl. Math. 227, No. 1, 171--184 (2009; Zbl 1183.65154) Full Text: DOI
Gravvanis, George A. OpenMP based parallel normalized direct methods for sparse finite element linear systems. (English) Zbl 1187.65045 J. Supercomput. 47, No. 1, 44-52 (2009). MSC: 65F50 65F05 65Y05 PDFBibTeX XMLCite \textit{G. A. Gravvanis}, J. Supercomput. 47, No. 1, 44--52 (2009; Zbl 1187.65045) Full Text: DOI
Ferronato, Massimiliano; Janna, Carlo; Gambolati, Giuseppe Mixed constraint preconditioning in computational contact mechanics. (English) Zbl 1194.74522 Comput. Methods Appl. Mech. Eng. 197, No. 45-48, 3922-3931 (2008). MSC: 74S30 74M15 PDFBibTeX XMLCite \textit{M. Ferronato} et al., Comput. Methods Appl. Mech. Eng. 197, No. 45--48, 3922--3931 (2008; Zbl 1194.74522) Full Text: DOI
Lesnykh, A. A.; Shirokov, I. A. Designing a digital-signal-processing extension for multipurpose microprocessors. (English. Russian original) Zbl 1211.94061 J. Math. Sci., New York 152, No. 2, 247-262 (2008); translation from Fundam. Prikl. Mat. 12, No. 8, 159-180 (2006). MSC: 94C30 94A12 PDFBibTeX XMLCite \textit{A. A. Lesnykh} and \textit{I. A. Shirokov}, J. Math. Sci., New York 152, No. 2, 247--262 (2008; Zbl 1211.94061); translation from Fundam. Prikl. Mat. 12, No. 8, 159--180 (2006) Full Text: DOI
Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Yan, Xiaodong Additive preconditioning for matrix computations. (English) Zbl 1142.68607 Hirsch, Edward A. (ed.) et al., Computer science – theory and applications. Third international computer science symposium in Russia, CSR 2008 Moscow, Russia, June 7–12, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-79708-1/pbk). Lecture Notes in Computer Science 5010, 372-383 (2008). MSC: 68W20 65F10 PDFBibTeX XMLCite \textit{V. Y. Pan} et al., Lect. Notes Comput. Sci. 5010, 372--383 (2008; Zbl 1142.68607) Full Text: DOI
Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Taj-Eddin, Islam; Tang, Yuqing; Yan, Xiaodong Additive preconditioning and aggregation in matrix computations. (English) Zbl 1139.65034 Comput. Math. Appl. 55, No. 8, 1870-1886 (2008). MSC: 65F35 65F22 65F10 PDFBibTeX XMLCite \textit{V. Y. Pan} et al., Comput. Math. Appl. 55, No. 8, 1870--1886 (2008; Zbl 1139.65034) Full Text: DOI
Coulaud, O.; Fortin, P.; Roman, J. High performance BLAS formulation of the multipole-to-local operator in the fast multipole method. (English) Zbl 1134.65082 J. Comput. Phys. 227, No. 3, 1836-1862 (2008). MSC: 65N35 35J05 65T50 65Y20 PDFBibTeX XMLCite \textit{O. Coulaud} et al., J. Comput. Phys. 227, No. 3, 1836--1862 (2008; Zbl 1134.65082) Full Text: DOI Link
Gu, Tong-Xiang; Zuo, Xian-Yu; Zhang, Li-Tao; Zhang, Wan-Qin; Sheng, Zhi-Qiang An improved bi-conjugate residual algorithm suitable for distributed parallel computing. (English) Zbl 1117.65047 Appl. Math. Comput. 186, No. 2, 1243-1253 (2007). MSC: 65F10 65F50 65Y05 PDFBibTeX XMLCite \textit{T.-X. Gu} et al., Appl. Math. Comput. 186, No. 2, 1243--1253 (2007; Zbl 1117.65047) Full Text: DOI
Graves-Morris, P. R. BiCGStab, VPAStab and an adaptation to mildly nonlinear systems. (English) Zbl 1109.41009 J. Comput. Appl. Math. 201, No. 1, 284-299 (2007). MSC: 41A21 65B05 65D15 65H10 PDFBibTeX XMLCite \textit{P. R. Graves-Morris}, J. Comput. Appl. Math. 201, No. 1, 284--299 (2007; Zbl 1109.41009) Full Text: DOI
Sengupta, T. K.; Dipankar, A.; Rao, A. Kameswara A new compact scheme for parallel computing using domain decomposition. (English) Zbl 1370.76072 J. Comput. Phys. 220, No. 2, 654-677 (2007). MSC: 76F65 65Y05 PDFBibTeX XMLCite \textit{T. K. Sengupta} et al., J. Comput. Phys. 220, No. 2, 654--677 (2007; Zbl 1370.76072) Full Text: DOI
Zhou, Yunkai Studies on Jacobi-Davidson, Rayleigh quotient iteration, inverse iteration generalized Davidson and Newton updates. (English) Zbl 1174.65372 Numer. Linear Algebra Appl. 13, No. 8, 621-642 (2006). MSC: 65F15 PDFBibTeX XMLCite \textit{Y. Zhou}, Numer. Linear Algebra Appl. 13, No. 8, 621--642 (2006; Zbl 1174.65372) Full Text: DOI
Kashdan, Eugene; Galanti, Barak A new parallelization strategy for solving time-dependent 3D Maxwell equations using a high-order accurate compact implicit scheme. (English) Zbl 1106.78012 Int. J. Numer. Model. 19, No. 5, 391-408 (2006). MSC: 78M20 65Y05 65M06 PDFBibTeX XMLCite \textit{E. Kashdan} and \textit{B. Galanti}, Int. J. Numer. Model. 19, No. 5, 391--408 (2006; Zbl 1106.78012) Full Text: DOI
Hujeirat, A. A problem-orientable numerical algorithm for modeling multi-dimensional radiative MHD flows in astrophysics-the hierarchical solution scenario. (English) Zbl 1196.76083 Comput. Phys. Commun. 168, No. 1, 1-24 (2005). MSC: 76W05 76M25 85A25 PDFBibTeX XMLCite \textit{A. Hujeirat}, Comput. Phys. Commun. 168, No. 1, 1--24 (2005; Zbl 1196.76083) Full Text: DOI arXiv
Costa, Cecília; Azevedo Perdicoúlis, T.-P.; Serôdio, R. A study on quaternion block quasi-tridiagonal systems. (English) Zbl 1090.15003 Comput. Math. Appl. 50, No. 7, 1011-1016 (2005). Reviewer: Hans Havlicek (Wien) MSC: 15A06 15B33 65F05 PDFBibTeX XMLCite \textit{C. Costa} et al., Comput. Math. Appl. 50, No. 7, 1011--1016 (2005; Zbl 1090.15003) Full Text: DOI
Arbenz, Peter; Geus, Roman Multilevel preconditioned iterative eigensolvers for Maxwell eigenvalue problems. (English) Zbl 1127.65021 Appl. Numer. Math. 54, No. 2, 107-121 (2005). Reviewer: Ursula van Rienen (Rostock) MSC: 65F15 65N55 78M10 PDFBibTeX XMLCite \textit{P. Arbenz} and \textit{R. Geus}, Appl. Numer. Math. 54, No. 2, 107--121 (2005; Zbl 1127.65021) Full Text: DOI
Cunha, M. T. F.; Telles, J. C. F.; Coutinho, A. L. G. A.; Panetta, J. On the parallelization of boundary element codes using standard and portable libraries. (English) Zbl 1075.65140 Eng. Anal. Bound. Elem. 28, No. 7, 893-902 (2004). MSC: 65N38 65Y05 35-04 35J05 65Y15 PDFBibTeX XMLCite \textit{M. T. F. Cunha} et al., Eng. Anal. Bound. Elem. 28, No. 7, 893--902 (2004; Zbl 1075.65140) Full Text: DOI
Alonso, Pedro; Cortina, Raquel; Díaz, Irene; Ranilla, José Neville elimination: a study of the efficiency using checkerboard partitioning. (English) Zbl 1063.65023 Linear Algebra Appl. 393, 3-14 (2004). MSC: 65F05 65Y05 15B48 PDFBibTeX XMLCite \textit{P. Alonso} et al., Linear Algebra Appl. 393, 3--14 (2004; Zbl 1063.65023) Full Text: DOI
Gravvanis, G. A.; Giannoutakis, K. M.; Missirlis, N. M. A distributed normalized explicit preconditioned conjugate gradient method. (English) Zbl 1091.65031 Parallel Algorithms Appl. 19, No. 2-3, 163-174 (2004). MSC: 65F10 65Y05 65F35 35J25 65N06 PDFBibTeX XMLCite \textit{G. A. Gravvanis} et al., Parallel Algorithms Appl. 19, No. 2--3, 163--174 (2004; Zbl 1091.65031) Full Text: DOI
Rivera, W.; Zhu, Jianping; Huddleston, D. An efficient parallel algorithm with application to computational fluid dynamics. (English) Zbl 1035.65096 Comput. Math. Appl. 45, No. 1-3, 165-188 (2003). MSC: 65M06 65M12 76N15 76M20 35K15 65Y05 PDFBibTeX XMLCite \textit{W. Rivera} et al., Comput. Math. Appl. 45, No. 1--3, 165--188 (2003; Zbl 1035.65096) Full Text: DOI
Gryazin, Yuriy A.; Klibanov, Michael V.; Lucas, Thomas R. Two numerical methods for an inverse problem for the 2-D Helmholtz equation. (English) Zbl 1016.65078 J. Comput. Phys. 184, No. 1, 122-148 (2003). MSC: 65N21 35R30 35J05 65N06 65F10 65F35 PDFBibTeX XMLCite \textit{Y. A. Gryazin} et al., J. Comput. Phys. 184, No. 1, 122--148 (2003; Zbl 1016.65078) Full Text: DOI
Mazzia, Annamaria; Pini, Giorgio Numerical performance of preconditioning techniques for the solution of complex sparse linear systems. (English) Zbl 1014.65033 Commun. Numer. Methods Eng. 19, No. 1, 37-48 (2003). MSC: 65F35 65F10 65Y05 65F50 65Y20 PDFBibTeX XMLCite \textit{A. Mazzia} and \textit{G. Pini}, Commun. Numer. Methods Eng. 19, No. 1, 37--48 (2003; Zbl 1014.65033) Full Text: DOI
Mihajlović, M. D.; Mijalković, S. A component decomposition preconditioning for 3D stress analysis problems. (English) Zbl 1071.65548 Numer. Linear Algebra Appl. 9, No. 6-7, 567-583 (2002). MSC: 65N22 65F35 65F10 65N55 PDFBibTeX XMLCite \textit{M. D. Mihajlović} and \textit{S. Mijalković}, Numer. Linear Algebra Appl. 9, No. 6--7, 567--583 (2002; Zbl 1071.65548) Full Text: DOI
Magolu monga Made, M.; van der Vorst, Henk A. Spectral analysis of parallel incomplete factorizations with implicit pseudo-overlap. (English) Zbl 1071.65557 Numer. Linear Algebra Appl. 9, No. 1, 45-64 (2002). MSC: 65N55 65F35 65Y05 65Y20 PDFBibTeX XMLCite \textit{M. Magolu monga Made} and \textit{H. A. van der Vorst}, Numer. Linear Algebra Appl. 9, No. 1, 45--64 (2002; Zbl 1071.65557) Full Text: DOI Link
Benzi, Michele Preconditioning techniques for large linear systems: A survey. (English) Zbl 1015.65018 J. Comput. Phys. 182, No. 2, 418-477 (2002). MSC: 65F35 65-02 65N55 65-00 65F10 65F50 65Y05 PDFBibTeX XMLCite \textit{M. Benzi}, J. Comput. Phys. 182, No. 2, 418--477 (2002; Zbl 1015.65018) Full Text: DOI
Shimasaki, Masaaki; Iwashita, Takeshi; Mifune, Takeshi Fast linear equation solvers in high performance electromagnetic field analysis. (English) Zbl 1011.78010 J. Comput. Appl. Math. 149, No. 1, 341-349 (2002). MSC: 78M10 65N55 PDFBibTeX XMLCite \textit{M. Shimasaki} et al., J. Comput. Appl. Math. 149, No. 1, 341--349 (2002; Zbl 1011.78010) Full Text: DOI
van der Vorst, Henk A. Efficient and reliable iterative methods for linear systems. (English) Zbl 1013.65025 J. Comput. Appl. Math. 149, No. 1, 251-265 (2002). MSC: 65F10 65Y05 PDFBibTeX XMLCite \textit{H. A. van der Vorst}, J. Comput. Appl. Math. 149, No. 1, 251--265 (2002; Zbl 1013.65025) Full Text: DOI
Hammond, E. P.; Mahesh, K.; Moin, P. A numerical method to simulate radio-frequency plasma discharges. (English) Zbl 1067.76064 J. Comput. Phys. 176, No. 2, 402-429 (2002). MSC: 76M12 76X05 PDFBibTeX XMLCite \textit{E. P. Hammond} et al., J. Comput. Phys. 176, No. 2, 402--429 (2002; Zbl 1067.76064) Full Text: DOI Link
Schönauer, Willi; Häfner, Hartmut Numerical experiments to optimize the use of (I)LU preconditioning in the iterative linear solver package LINSOL. (English) Zbl 0994.65037 Appl. Numer. Math. 41, No. 1, 23-37 (2002). MSC: 65F10 65F35 65Y15 65F50 PDFBibTeX XMLCite \textit{W. Schönauer} and \textit{H. Häfner}, Appl. Numer. Math. 41, No. 1, 23--37 (2002; Zbl 0994.65037) Full Text: DOI
Benzi, Michele; Kouhia, Reijo; Tůma, Miroslav Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics. (English) Zbl 1021.74041 Comput. Methods Appl. Mech. Eng. 190, No. 49-50, 6533-6554 (2001). MSC: 74S05 65F10 74K25 PDFBibTeX XMLCite \textit{M. Benzi} et al., Comput. Methods Appl. Mech. Eng. 190, No. 49--50, 6533--6554 (2001; Zbl 1021.74041) Full Text: DOI
Botchev, Mike A.; van der Vorst, Henk A. A parallel nearly implicit time-stepping scheme. (English) Zbl 0991.65067 J. Comput. Appl. Math. 137, No. 2, 229-243 (2001). MSC: 65L20 65Y05 34A34 65L05 65L06 65L50 PDFBibTeX XMLCite \textit{M. A. Botchev} and \textit{H. A. van der Vorst}, J. Comput. Appl. Math. 137, No. 2, 229--243 (2001; Zbl 0991.65067) Full Text: DOI
Chan, S. H.; Phoon, K. K.; Lee, F. H. A modified Jacobi preconditioner for solving ill-conditioned Biot’s consolidation equations using symmetric quasi-minimal residual method. (English) Zbl 1065.74605 Int. J. Numer. Anal. Methods Geomech. 25, No. 10, 1001-1025 (2001). MSC: 74S05 65F10 74L10 74F10 PDFBibTeX XMLCite \textit{S. H. Chan} et al., Int. J. Numer. Anal. Methods Geomech. 25, No. 10, 1001--1025 (2001; Zbl 1065.74605) Full Text: DOI
Magolu Monga Made, Mardochée Incomplete factorization-based preconditionings for solving the Helmholtz equation. (English) Zbl 0977.65102 Int. J. Numer. Methods Eng. 50, No. 5, 1077-1101 (2001). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65N30 35J05 65F10 65F35 PDFBibTeX XMLCite \textit{M. Magolu Monga Made}, Int. J. Numer. Methods Eng. 50, No. 5, 1077--1101 (2001; Zbl 0977.65102) Full Text: DOI
Magolu monga Made, Mardochée; Beauwens, Robert; Warzée, Guy Preconditioning of discrete Helmholtz operators perturbed by a diagonal complex matrix. (English) Zbl 0972.65031 Commun. Numer. Methods Eng. 16, No. 11, 801-817 (2000). Reviewer: Willy Govaerts (Gent) MSC: 65F35 65F10 65N30 35J05 PDFBibTeX XMLCite \textit{M. Magolu monga Made} et al., Commun. Numer. Methods Eng. 16, No. 11, 801--817 (2000; Zbl 0972.65031) Full Text: DOI
Duff, Iain S. The impact of high-performance computing in the solution of linear systems: Trends and problems. (English) Zbl 0970.65025 J. Comput. Appl. Math. 123, No. 1-2, 515-530 (2000). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F05 65F50 65Y05 65Y20 PDFBibTeX XMLCite \textit{I. S. Duff}, J. Comput. Appl. Math. 123, No. 1--2, 515--530 (2000; Zbl 0970.65025) Full Text: DOI
Golub, Gene H.; van der Vorst, Henk A. Eigenvalue computation in the 20th century. (English) Zbl 0965.65057 J. Comput. Appl. Math. 123, No. 1-2, 35-65 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65F15 01A60 65-03 PDFBibTeX XMLCite \textit{G. H. Golub} and \textit{H. A. van der Vorst}, J. Comput. Appl. Math. 123, No. 1--2, 35--65 (2000; Zbl 0965.65057) Full Text: DOI
Saad, Yousef; van der Vorst, Henk A. Iterative solution of linear systems in the 20th century. (English) Zbl 0965.65051 J. Comput. Appl. Math. 123, No. 1-2, 1-33 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 65F35 65Y05 65N55 65-03 01A60 PDFBibTeX XMLCite \textit{Y. Saad} and \textit{H. A. van der Vorst}, J. Comput. Appl. Math. 123, No. 1--2, 1--33 (2000; Zbl 0965.65051) Full Text: DOI
Povitsky, Alex; Morris, Philip J. A higher-order compact method in space and time based on parallel implementation of the Thomas algorithm. (English) Zbl 0959.65102 J. Comput. Phys. 161, No. 1, 182-203 (2000). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M06 65Y05 35L45 PDFBibTeX XMLCite \textit{A. Povitsky} and \textit{P. J. Morris}, J. Comput. Phys. 161, No. 1, 182--203 (2000; Zbl 0959.65102) Full Text: DOI