Edit Profile (opens in new tab) Greenbaum, Anne Co-Author Distance Author ID: greenbaum.anne Published as: Greenbaum, Anne; Greenbaum, A. Homepage: https://amath.washington.edu/people/anne-greenbaum External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 67 Publications since 1979, including 4 Books and 4 Additional arXiv Preprints 4 Contributions as Editor · 1 Further Contribution Co-Authors: 69 Co-Authors with 50 Joint Publications 2,370 Co-Co-Authors all top 5 Co-Authors 20 single-authored 6 Chen, Tyler 5 Mayo, Anita A. 5 Strakoš, Zdeněk 3 Choi, Daeshik 3 Musco, Cameron 3 Overton, Michael L. 2 Ashby, Steve 2 Bai, Zhaojun 2 Bischof, Christian H. 2 Caldwell, Trevor 2 Chao, Han Zheng 2 Demmel, James Weldon 2 Dongarra, Jack J. 2 Du Croz, Jeremy J. 2 Elman, Howard C. 2 Freund, Roland W. 2 Golub, Gene Howard 2 Greengard, Leslie F. 2 Hammarling, Sven J. 2 Knizhnerman, L. A. 2 Li, Congming 2 Li, Kenan 2 McKenney, Alan 2 Musco, Christopher 2 Parter, Seymour V. 2 Rodrigue, Garry H. 2 Rozložník, Miroslav 2 Saylor, Paul E. 2 Sorensen, Danny C. 2 Walker, Homer F. 2 Wellen, Natalie 2 Widlund, Olof B. 1 Amsel, Noah 1 Bickel, Kelly 1 Björk, Åke 1 Blackford, S. 1 Brualdi, Richard Anthony 1 Burke, James V. 1 Chan, Raymond Hon-Fu 1 Chang, Britton 1 Chartier, Timothy P. 1 Chen, Menghuo 1 Crouzeix, Michel 1 Cullum, Jane K. 1 Drkošová, Jitka 1 Drushkin, V. L. 1 Druskin, V. L. 1 Dubois, Paul F. 1 Faber, Vance 1 Ferguson, Jake M. 1 Gautschi, Walter 1 Gorkin, Pamela B. 1 Greif, Chen 1 Higham, Nicholas J. 1 Hogben, Leslie 1 Kyanfar, Faranges 1 Lewis, Adrian S. 1 Li, Rencang 1 Liu, Hexuan 1 Luskin, Mitchell 1 Machorro, Eric A. 1 Marshall, Donald E. 1 Mathias, Roy 1 McFadden, Geoffrey Bey 1 Musco, Chris 1 O’Leary, Dianne P. 1 Ostrouchov, Susan 1 Pták, Vlastimil 1 Ransford, Thomas J. 1 Salemi, Abbas 1 Schwenninger, Felix L. 1 Sonnad, Vijay 1 Stewart, Gilbert Wright 1 Trefethen, Lloyd Nicholas 1 Trogdon, Thomas 1 Wegert, Elias all top 5 Serials 12 SIAM Journal on Matrix Analysis and Applications 9 Linear Algebra and its Applications 6 SIAM Journal on Scientific Computing 4 Journal of Computational Physics 3 BIT 3 SIAM Review 2 Numerische Mathematik 2 Numerical Linear Algebra with Applications 1 Computer Physics Communications 1 Applied Mathematics and Computation 1 Computing 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Scientific and Statistical Computing 1 Physica D 1 Parallel Computing 1 Computational Mathematics and Mathematical Physics 1 Notices of the American Mathematical Society 1 Mathematical Programming. Series A. Series B 1 ETNA. Electronic Transactions on Numerical Analysis 1 Computational Methods and Function Theory 1 Frontiers in Applied Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Software - Environments - Tools 1 Discrete Mathematics and its Applications all top 5 Fields 60 Numerical analysis (65-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 9 Partial differential equations (35-XX) 9 Computer science (68-XX) 8 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 53 Publications have been cited 1,843 times in 1,585 Documents Cited by ▼ Year ▼ LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030 Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 578 1999 Iterative methods for solving linear systems. Zbl 0883.65022 Greenbaum, Anne 323 1997 LAPACK user’s guide. 2nd ed. Zbl 0843.65018 Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 137 1995 Any nonincreasing convergence curve is possible for GMRES. Zbl 0857.65029 Greenbaum, Anne; Pták, Vlastimil; Strakoš, Zdeněk 107 1996 Laplace’s equation and the Dirichlet-Neumann map in multiply connected domains. Zbl 0769.65085 Greenbaum, A.; Greengard, L.; McFadden, G. B. 64 1993 Handbook of linear algebra. Zbl 1122.15001 58 2007 Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences. Zbl 0662.65032 Greenbaum, A. 51 1989 Approximating the inverse of a matrix for use in iterative algorithms on vector processors. Zbl 0438.65037 Dubois, P. F.; Greenbaum, A.; Rodrigue, Garry H. 47 1979 Predicting the behavior of finite precision Lanczos and conjugate gradient computations. Zbl 0755.65037 Greenbaum, A.; Strakos, Z. 44 1992 Fast parallel iterative solution of Poisson’s and the biharmonic equations on irregular regions. Zbl 0752.65080 Mayo, A.; Greenbaum, A. 36 1992 Using nonorthogonal Lanczos vectors in the computation of matrix functions. Zbl 0912.65021 Druskin, V.; Greenbaum, A.; Knizhnerman, L. 32 1998 Estimating the attainable accuracy of recursively computed residual methods. Zbl 0873.65027 Greenbaum, Anne 32 1997 On the numerical solution of the biharmonic equation in the plane. Zbl 0824.65117 Greenbaum, Anne; Greengard, Leslie; Mayo, Anita 30 1992 GMRES/CR and Arnoldi/Lanczos as matrix approximation problems. Zbl 0806.65031 Greenbaum, Anne; Trefethen, Lloyd N. 29 1994 Matrices that generate the same Krylov residual spaces. Zbl 0803.65029 Greenbaum, Anne; Strakos, Zdenek 29 1994 Relations between Galerkin and norm-minimizing iterative methods for solving linear systems. Zbl 0855.65021 Cullum, Jane; Greenbaum, Anne 28 1996 Generalizations of the field of values useful in the study of polynomial functions of a matrix. Zbl 1004.15027 Greenbaum, Anne 28 2002 Numerical stability of GMRES. Zbl 0837.65040 Drkošová, J.; Greenbaum, A.; Rozložník, M.; Strakoš, Z. 26 1995 Numerical behaviour of the modified Gram-Schmidt GMRES implementation. Zbl 0891.65031 Greenbaum, A.; Rozložník, M.; Strakoš, Z. 22 1997 Comparison of splittings used with the conjugate gradient algorithm. Zbl 0394.65011 Greenbaum, A. 20 1979 First-order perturbation theory for eigenvalues and eigenvectors. Zbl 1516.15006 Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L. 17 2020 The polynomial numerical hulls of Jordan blocks and related matrices. Zbl 1044.15019 Faber, Vance; Greenbaum, Anne; Marshall, Donald E. 14 2003 Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions. Zbl 1109.65028 Mayo, Anita; Greenbaum, Anne 13 2007 Analysis of a multigrid method as an iterative technique for solving linear systems. Zbl 0539.65011 Greenbaum, Anne 12 1984 Crouzeix’s conjecture and perturbed Jordan blocks. Zbl 1390.15074 Greenbaum, Anne; Choi, Daeshik 9 2012 Some extensions of the Crouzeix-Palencia result. Zbl 1392.15029 Caldwell, Trevor; Greenbaum, Anne; Li, Kenan 8 2018 Numerical methods. Design, analysis, and computer implementation of algorithms. Zbl 1247.65001 Greenbaum, Anne; Chartier, Timothy P. 7 2012 Parallelizing preconditioned conjugate gradient algorithms. Zbl 0798.65040 Greenbaum, Anne; Li, Congming; Chao, Han Zheng 7 1989 Numerical investigation of Crouzeix’s conjecture. Zbl 1415.15021 Greenbaum, Anne; Overton, Michael L. 7 2018 Rapid parallel evaluation of integrals in potential theory on general three-dimensional regions. Zbl 0911.65016 Greenbaum, A.; Mayo, A. 6 1998 A multigrid method for multiprocessors. Zbl 0616.65094 Greenbaum, A. 6 1986 Diagonal scalings of the Laplacian as preconditioners for other elliptic differential operators. Zbl 0754.65042 Greenbaum, A. 6 1992 Max-min properties of matrix factor norms. Zbl 0799.15014 Greenbaum, A.; Gurvits, L. 6 1994 Roots of matrices in the study of GMRES convergence and Crouzeix’s conjecture. Zbl 1314.15015 Choi, Daeshik; Greenbaum, Anne 6 2015 Optimal preconditioners of a given sparsity pattern. Zbl 0689.65014 Greenbaum, A.; Rodrigue, G. H. 5 1989 Upper and lower bounds on norms of functions of matrices. Zbl 1155.15032 Greenbaum, Anne 5 2009 A Petrov-Galerkin finite element method for solving the neutron transport equation. Zbl 0589.65090 Greenbaum, A.; Ferguson, J. M. 5 1986 Variational analysis of the Crouzeix ratio. Zbl 1376.15015 Greenbaum, Anne; Lewis, Adrian S.; Overton, Michael L. 5 2017 Card shuffling and the polynomial numerical hull of degree \(k\). Zbl 1047.15013 Greenbaum, Anne 4 2003 Characterizations of the polynomial numerical hull of degree \(k\). Zbl 1106.15018 Burke, James V.; Greenbaum, Anne 4 2006 Some theoretical results derived from polynomial numerical hulls of Jordan blocks. Zbl 1068.15039 Greenbaum, Anne 4 2004 Spectral sets: numerical range and beyond. Zbl 07122453 Crouzeix, Michel; Greenbaum, Anne 4 2019 On the convergence rate of DGMRES. Zbl 1392.65052 Greenbaum, Anne; Kyanfar, Faranges; Salemi, Abbas 3 2018 Accuracy of computed solutions from conjugate-gradient-like methods. Zbl 0811.65026 Greenbaum, Anne 3 1994 Analysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem. Zbl 1363.65213 Chen, Meng-Huo; Greenbaum, Anne 3 2015 On solving indefinite symmetric linear systems by means of the Lanczos method. Zbl 0970.65040 Greenbaum, A.; Drushkin, V. L.; Knizhnerman, L. A. 2 1999 Crouzeix’s conjecture and related problems. Zbl 07311218 Bickel, Kelly; Gorkin, Pamela; Greenbaum, Anne; Ransford, Thomas; Schwenninger, Felix L.; Wegert, Elias 2 2020 Error bounds for Lanczos-based matrix function approximation. Zbl 1492.65118 Chen, Tyler; Greenbaum, Anne; Musco, Cameron; Musco, Christopher 2 2022 Near normal dilations of nonnormal matrices and linear operators. Zbl 1388.15019 Greenbaum, Anne; Caldwell, Trevor; Li, Kenan 2 2016 Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O’Leary. Zbl 1121.65031 Golub, Gene H. 1 2007 On the role of the left starting vector in the two-sided Lanczos algorithm and nonsymmetric linear system solvers. Zbl 0902.65011 Greenbaum, A. 1 1998 An algorithm for finding a 2-similarity transformation from a numerical contraction to a contraction. Zbl 1323.65040 Choi, Daeshik; Greenbaum, Anne 1 2015 The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Zbl 1260.65026 Greenbaum, Anne 1 1994 Error bounds for Lanczos-based matrix function approximation. Zbl 1492.65118 Chen, Tyler; Greenbaum, Anne; Musco, Cameron; Musco, Christopher 2 2022 First-order perturbation theory for eigenvalues and eigenvectors. Zbl 1516.15006 Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L. 17 2020 Crouzeix’s conjecture and related problems. Zbl 07311218 Bickel, Kelly; Gorkin, Pamela; Greenbaum, Anne; Ransford, Thomas; Schwenninger, Felix L.; Wegert, Elias 2 2020 Spectral sets: numerical range and beyond. Zbl 07122453 Crouzeix, Michel; Greenbaum, Anne 4 2019 Some extensions of the Crouzeix-Palencia result. Zbl 1392.15029 Caldwell, Trevor; Greenbaum, Anne; Li, Kenan 8 2018 Numerical investigation of Crouzeix’s conjecture. Zbl 1415.15021 Greenbaum, Anne; Overton, Michael L. 7 2018 On the convergence rate of DGMRES. Zbl 1392.65052 Greenbaum, Anne; Kyanfar, Faranges; Salemi, Abbas 3 2018 Variational analysis of the Crouzeix ratio. Zbl 1376.15015 Greenbaum, Anne; Lewis, Adrian S.; Overton, Michael L. 5 2017 Near normal dilations of nonnormal matrices and linear operators. Zbl 1388.15019 Greenbaum, Anne; Caldwell, Trevor; Li, Kenan 2 2016 Roots of matrices in the study of GMRES convergence and Crouzeix’s conjecture. Zbl 1314.15015 Choi, Daeshik; Greenbaum, Anne 6 2015 Analysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem. Zbl 1363.65213 Chen, Meng-Huo; Greenbaum, Anne 3 2015 An algorithm for finding a 2-similarity transformation from a numerical contraction to a contraction. Zbl 1323.65040 Choi, Daeshik; Greenbaum, Anne 1 2015 Crouzeix’s conjecture and perturbed Jordan blocks. Zbl 1390.15074 Greenbaum, Anne; Choi, Daeshik 9 2012 Numerical methods. Design, analysis, and computer implementation of algorithms. Zbl 1247.65001 Greenbaum, Anne; Chartier, Timothy P. 7 2012 Upper and lower bounds on norms of functions of matrices. Zbl 1155.15032 Greenbaum, Anne 5 2009 Handbook of linear algebra. Zbl 1122.15001 58 2007 Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions. Zbl 1109.65028 Mayo, Anita; Greenbaum, Anne 13 2007 Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O’Leary. Zbl 1121.65031 Golub, Gene H. 1 2007 Characterizations of the polynomial numerical hull of degree \(k\). Zbl 1106.15018 Burke, James V.; Greenbaum, Anne 4 2006 Some theoretical results derived from polynomial numerical hulls of Jordan blocks. Zbl 1068.15039 Greenbaum, Anne 4 2004 The polynomial numerical hulls of Jordan blocks and related matrices. Zbl 1044.15019 Faber, Vance; Greenbaum, Anne; Marshall, Donald E. 14 2003 Card shuffling and the polynomial numerical hull of degree \(k\). Zbl 1047.15013 Greenbaum, Anne 4 2003 Generalizations of the field of values useful in the study of polynomial functions of a matrix. Zbl 1004.15027 Greenbaum, Anne 28 2002 LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030 Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 578 1999 On solving indefinite symmetric linear systems by means of the Lanczos method. Zbl 0970.65040 Greenbaum, A.; Drushkin, V. L.; Knizhnerman, L. A. 2 1999 Using nonorthogonal Lanczos vectors in the computation of matrix functions. Zbl 0912.65021 Druskin, V.; Greenbaum, A.; Knizhnerman, L. 32 1998 Rapid parallel evaluation of integrals in potential theory on general three-dimensional regions. Zbl 0911.65016 Greenbaum, A.; Mayo, A. 6 1998 On the role of the left starting vector in the two-sided Lanczos algorithm and nonsymmetric linear system solvers. Zbl 0902.65011 Greenbaum, A. 1 1998 Iterative methods for solving linear systems. Zbl 0883.65022 Greenbaum, Anne 323 1997 Estimating the attainable accuracy of recursively computed residual methods. Zbl 0873.65027 Greenbaum, Anne 32 1997 Numerical behaviour of the modified Gram-Schmidt GMRES implementation. Zbl 0891.65031 Greenbaum, A.; Rozložník, M.; Strakoš, Z. 22 1997 Any nonincreasing convergence curve is possible for GMRES. Zbl 0857.65029 Greenbaum, Anne; Pták, Vlastimil; Strakoš, Zdeněk 107 1996 Relations between Galerkin and norm-minimizing iterative methods for solving linear systems. Zbl 0855.65021 Cullum, Jane; Greenbaum, Anne 28 1996 LAPACK user’s guide. 2nd ed. Zbl 0843.65018 Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 137 1995 Numerical stability of GMRES. Zbl 0837.65040 Drkošová, J.; Greenbaum, A.; Rozložník, M.; Strakoš, Z. 26 1995 GMRES/CR and Arnoldi/Lanczos as matrix approximation problems. Zbl 0806.65031 Greenbaum, Anne; Trefethen, Lloyd N. 29 1994 Matrices that generate the same Krylov residual spaces. Zbl 0803.65029 Greenbaum, Anne; Strakos, Zdenek 29 1994 Max-min properties of matrix factor norms. Zbl 0799.15014 Greenbaum, A.; Gurvits, L. 6 1994 Accuracy of computed solutions from conjugate-gradient-like methods. Zbl 0811.65026 Greenbaum, Anne 3 1994 The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Zbl 1260.65026 Greenbaum, Anne 1 1994 Laplace’s equation and the Dirichlet-Neumann map in multiply connected domains. Zbl 0769.65085 Greenbaum, A.; Greengard, L.; McFadden, G. B. 64 1993 Predicting the behavior of finite precision Lanczos and conjugate gradient computations. Zbl 0755.65037 Greenbaum, A.; Strakos, Z. 44 1992 Fast parallel iterative solution of Poisson’s and the biharmonic equations on irregular regions. Zbl 0752.65080 Mayo, A.; Greenbaum, A. 36 1992 On the numerical solution of the biharmonic equation in the plane. Zbl 0824.65117 Greenbaum, Anne; Greengard, Leslie; Mayo, Anita 30 1992 Diagonal scalings of the Laplacian as preconditioners for other elliptic differential operators. Zbl 0754.65042 Greenbaum, A. 6 1992 Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences. Zbl 0662.65032 Greenbaum, A. 51 1989 Parallelizing preconditioned conjugate gradient algorithms. Zbl 0798.65040 Greenbaum, Anne; Li, Congming; Chao, Han Zheng 7 1989 Optimal preconditioners of a given sparsity pattern. Zbl 0689.65014 Greenbaum, A.; Rodrigue, G. H. 5 1989 A multigrid method for multiprocessors. Zbl 0616.65094 Greenbaum, A. 6 1986 A Petrov-Galerkin finite element method for solving the neutron transport equation. Zbl 0589.65090 Greenbaum, A.; Ferguson, J. M. 5 1986 Analysis of a multigrid method as an iterative technique for solving linear systems. Zbl 0539.65011 Greenbaum, Anne 12 1984 Approximating the inverse of a matrix for use in iterative algorithms on vector processors. Zbl 0438.65037 Dubois, P. F.; Greenbaum, A.; Rodrigue, Garry H. 47 1979 Comparison of splittings used with the conjugate gradient algorithm. Zbl 0394.65011 Greenbaum, A. 20 1979 all cited Publications top 5 cited Publications all top 5 Cited by 2,702 Authors 24 Greenbaum, Anne 19 Benner, Peter 16 Strakoš, Zdeněk 15 Axelsson, Axel Owe Holger 14 Li, Rencang 13 Dongarra, Jack J. 13 Meurant, Gérard A. 13 Quintana-Ortí, Enrique S. 13 Serra-Capizzano, Stefano 12 Helsing, Johan 12 Simoncini, Valeria 11 Rozložník, Miroslav 11 Ying, Wenjun 11 Zlatev, Zahari 10 Bochev, M. A. 10 Carson, Erin Claire 10 Higham, Nicholas J. 10 Pestana, Jennifer 10 Salemi, Abbas 10 Wathen, Andrew John 9 Ferronato, Massimiliano 9 Li, Shuwang 9 Lowengrub, John Samuel 9 Tichý, Petr 8 Bai, Zhongzhi 8 Golub, Gene Howard 8 Kressner, Daniel 7 Demmel, James Weldon 7 Faragó, István 7 Fasano, Giovanni 7 Kropinski, Mary Catherine A. 7 Li, Zhilin 7 Pan, Victor Yakovlevich 7 Quintana-Ortí, Gregorio 7 Saad, Yousef 7 Szyld, Daniel B. 7 Van der Vorst, Henk Albertus 6 Aishima, Kensuke 6 Arndt, Daniel 6 Bangerth, Wolfgang 6 Chen, Tyler 6 Ding, Chao 6 Giraud, Luc 6 Greengard, Leslie F. 6 Heister, Timo 6 Heltai, Luca 6 Keyes, David Elliot 6 Kronbichler, Martin 6 Lin, Lin 6 Lin, Wen-Wei 6 Maier, Matthias Sebastian 6 Overton, Michael L. 6 Pelteret, Jean-Paul 6 Toh, Kim Chuan 6 Trogdon, Thomas 6 Turcksin, Bruno 6 Yang, Chao 5 Aghamollaei, Gholamreza 5 Baboulin, Marc 5 Bergamaschi, Luca 5 Bhaya, Amit 5 Bientinesi, Paolo 5 Chen, Jinhai 5 Drmač, Zlatko 5 Duintjer Tebbens, Jurjen 5 Gutknecht, Martin H. 5 Güttel, Stefan 5 Kågström, Bo 5 Karátson, János 5 Koev, Plamen 5 Langou, Julien 5 Liesen, Jörg 5 Lipitakis, Elias A. 5 Lu, Linzhang 5 Nasser, Mohamed M. S. 5 Notay, Yvan 5 Quaife, Bryan D. 5 Sleijpen, Gerard L. G. 5 Stoll, Martin 5 Sun, Defeng 5 van de Geijn, Robert Alexander 5 Van Dooren, Paul M. 5 Vecharynski, Eugene 5 Vuik, Cornelis 5 Walker, David W. 5 Ward, Michael J. 5 Yan, Xiaodong 4 Aihara, Kensuke 4 Benzi, Michele 4 Bosch, Jessica 4 Brenner, Susanne Cecelia 4 Carpentieri, Bruno 4 de Sturler, Eric 4 Dopico, Froilán M. 4 Du, Kui 4 Fehling, Marc 4 Frommer, Andreas 4 Gratton, Serge 4 Gravvanis, George A. 4 Grigori, Laura ...and 2,602 more Authors all top 5 Cited in 245 Serials 140 Journal of Computational Physics 105 Linear Algebra and its Applications 87 Journal of Computational and Applied Mathematics 80 SIAM Journal on Scientific Computing 58 Computer Physics Communications 56 SIAM Journal on Matrix Analysis and Applications 52 Numerical Linear Algebra with Applications 50 Computers & Mathematics with Applications 43 Applied Mathematics and Computation 43 Numerical Algorithms 42 BIT 37 Computer Methods in Applied Mechanics and Engineering 33 Applied Numerical Mathematics 32 Journal of Scientific Computing 24 Numerische Mathematik 23 International Journal for Numerical Methods in Engineering 23 Engineering Analysis with Boundary Elements 18 Computers and Fluids 17 Computational Optimization and Applications 16 Journal of Optimization Theory and Applications 16 Optimization Methods & Software 14 Mathematical Programming. Series A. Series B 14 Advances in Computational Mathematics 13 Journal of Fluid Mechanics 13 Mathematics of Computation 13 International Journal of Computer Mathematics 12 ACM Transactions on Mathematical Software 12 SIAM Journal on Optimization 11 Japan Journal of Industrial and Applied Mathematics 10 Mathematics and Computers in Simulation 8 Physica D 8 ETNA. Electronic Transactions on Numerical Analysis 7 Calcolo 7 Computing 7 European Journal of Operational Research 7 Computational Statistics and Data Analysis 7 Communications in Computational Physics 6 SIAM Journal on Numerical Analysis 6 Parallel Computing 6 Applied Mathematics Letters 6 SIAM Review 6 Computational and Applied Mathematics 6 Journal of Numerical Mathematics 6 Acta Numerica 5 International Journal for Numerical Methods in Fluids 5 Journal of Mathematical Physics 5 Linear and Multilinear Algebra 5 Computational Mechanics 5 Physics of Fluids 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Acta Mechanica 4 Journal of the Mechanics and Physics of Solids 4 Automatica 4 Theoretical Computer Science 4 Annals of Operations Research 4 Journal of Global Optimization 4 Journal of Nonlinear Science 4 Communications in Numerical Methods in Engineering 4 Mathematical Problems in Engineering 4 Archives of Computational Methods in Engineering 4 Journal of Applied Mathematics and Computing 4 GAMM-Mitteilungen 4 JSIAM Letters 4 SIAM/ASA Journal on Uncertainty Quantification 4 Journal of Computational and Theoretical Transport 3 International Journal of Solids and Structures 3 Quarterly of Applied Mathematics 3 Systems & Control Letters 3 Computer Aided Geometric Design 3 Numerical Methods for Partial Differential Equations 3 Mathematical and Computer Modelling 3 Machine Learning 3 Computational Mathematics and Mathematical Physics 3 Applied Mathematical Modelling 3 Computing and Visualization in Science 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Mathematical and Computer Modelling of Dynamical Systems 3 European Journal of Mechanics. B. Fluids 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Combustion Theory and Modelling 3 International Journal of Modern Physics C 3 Concurrency and Computation: Practice & Experience 3 Journal of Machine Learning Research (JMLR) 3 Multiscale Modeling & Simulation 3 Mathematical Programming Computation 3 Statistics and Computing 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Applicable Analysis 2 Classical and Quantum Gravity 2 International Journal of Control 2 International Journal of Heat and Mass Transfer 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Journal of Engineering Mathematics 2 Journal of Mathematical Biology 2 Mathematical Biosciences 2 Wave Motion 2 Information Sciences 2 Journal of Functional Analysis 2 Journal of Soviet Mathematics 2 Numerical Functional Analysis and Optimization ...and 145 more Serials all top 5 Cited in 53 Fields 1,163 Numerical analysis (65-XX) 222 Partial differential equations (35-XX) 209 Linear and multilinear algebra; matrix theory (15-XX) 208 Fluid mechanics (76-XX) 122 Operations research, mathematical programming (90-XX) 103 Mechanics of deformable solids (74-XX) 91 Computer science (68-XX) 56 Quantum theory (81-XX) 53 Statistical mechanics, structure of matter (82-XX) 51 Statistics (62-XX) 49 Optics, electromagnetic theory (78-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 41 Ordinary differential equations (34-XX) 40 Operator theory (47-XX) 37 Biology and other natural sciences (92-XX) 30 Probability theory and stochastic processes (60-XX) 29 Systems theory; control (93-XX) 22 Information and communication theory, circuits (94-XX) 21 Integral equations (45-XX) 21 Classical thermodynamics, heat transfer (80-XX) 18 Potential theory (31-XX) 17 Combinatorics (05-XX) 17 Dynamical systems and ergodic theory (37-XX) 17 Approximations and expansions (41-XX) 16 Geophysics (86-XX) 14 Functions of a complex variable (30-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Mechanics of particles and systems (70-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Algebraic geometry (14-XX) 6 Special functions (33-XX) 6 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Sequences, series, summability (40-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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