# zbMATH — the first resource for mathematics

## Greenbaum, Anne

Compute Distance To:
 Author ID: greenbaum.anne Published as: Greenbaum, A.; Greenbaum, Anne External Links: MGP · Wikidata
 Documents Indexed: 61 Publications since 1979, including 7 Books
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#### Co-Authors

 19 single-authored 5 Mayo, Anita A. 5 Strakoš, Zdeněk 3 Choi, Daeshik 3 Overton, Michael L. 2 Anderson, Edward 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 Greengard, Leslie F. 2 Gurvits, Leonid 2 Hammarling, Sven J. 2 Knizhnerman, L. A. 2 Li, Congming 2 Li, Kenan 2 McKenney, Alan 2 Parter, Seymour V. 2 Rodrigue, Garry H. 2 Rozlozník, Miroslav 2 Saylor, Paul E. 2 Sorensen, Danny C. 2 Walker, Homer F. 2 Widlund, Olof B. 1 Blackford, S. 1 Burke, James V. 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 Golub, Gene Howard 1 Kyanfar, Faranges 1 Lewis, Adrian S. 1 Li, Rencang 1 Luskin, Mitchell 1 Machorro, Eric A. 1 Marshall, Donald E. 1 McFadden, Geoffrey Bey 1 Ostrouchov, Susan 1 Pták, Vlastimil 1 Salemi, Abbas 1 Sonnad, Vijay 1 Trefethen, Lloyd Nicholas
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#### Serials

 10 SIAM Journal on Matrix Analysis and Applications 9 Linear Algebra and its Applications 5 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 Mathematical Programming. Series A. Series B 1 ETNA. Electronic Transactions on Numerical Analysis 1 Frontiers in Applied Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Software - Environments - Tools
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#### Fields

 51 Numerical analysis (65-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 9 Partial differential equations (35-XX) 6 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 4 Computer science (68-XX) 3 Potential theory (31-XX) 2 Integral equations (45-XX) 1 Functions of a complex variable (30-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)

#### Citations contained in zbMATH

48 Publications have been cited 1,484 times in 1,284 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.
1999
Iterative methods for solving linear systems. Zbl 0883.65022
Greenbaum, Anne
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.
1995
Any nonincreasing convergence curve is possible for GMRES. Zbl 0857.65029
Greenbaum, Anne; Pták, Vlastimil; Strakoš, Zdeněk
1996
Laplace’s equation and the Dirichlet-Neumann map in multiply connected domains. Zbl 0769.65085
Greenbaum, A.; Greengard, L.; McFadden, G. B.
1993
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.
1979
Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences. Zbl 0662.65032
Greenbaum, A.
1989
Predicting the behavior of finite precision Lanczos and conjugate gradient computations. Zbl 0755.65037
Greenbaum, A.; Strakos, Z.
1992
Fast parallel iterative solution of Poisson’s and the biharmonic equations on irregular regions. Zbl 0752.65080
Mayo, A.; Greenbaum, A.
1992
On the numerical solution of the biharmonic equation in the plane. Zbl 0824.65117
Greenbaum, Anne; Greengard, Leslie; Mayo, Anita
1992
Generalizations of the field of values useful in the study of polynomial functions of a matrix. Zbl 1004.15027
Greenbaum, Anne
2002
Relations between Galerkin and norm-minimizing iterative methods for solving linear systems. Zbl 0855.65021
Cullum, Jane; Greenbaum, Anne
1996
Estimating the attainable accuracy of recursively computed residual methods. Zbl 0873.65027
Greenbaum, Anne
1997
Matrices that generate the same Krylov residual spaces. Zbl 0803.65029
Greenbaum, Anne; Strakos, Zdenek
1994
GMRES/CR and Arnoldi/Lanczos as matrix approximation problems. Zbl 0806.65031
Greenbaum, Anne; Trefethen, Lloyd N.
1994
Using nonorthogonal Lanczos vectors in the computation of matrix functions. Zbl 0912.65021
Druskin, V.; Greenbaum, A.; Knizhnerman, L.
1998
Numerical stability of GMRES. Zbl 0837.65040
Drkošová, J.; Greenbaum, A.; Rozložník, M.; Strakoš, Z.
1995
Numerical behaviour of the modified Gram-Schmidt GMRES implementation. Zbl 0891.65031
Greenbaum, A.; Rozložník, M.; Strakoš, Z.
1997
Comparison of splittings used with the conjugate gradient algorithm. Zbl 0394.65011
Greenbaum, A.
1979
The polynomial numerical hulls of Jordan blocks and related matrices. Zbl 1044.15019
Faber, Vance; Greenbaum, Anne; Marshall, Donald E.
2003
Analysis of a multigrid method as an iterative technique for solving linear systems. Zbl 0539.65011
Greenbaum, Anne
1984
Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions. Zbl 1109.65028
Mayo, Anita; Greenbaum, Anne
2007
Crouzeix’s conjecture and perturbed Jordan blocks. Zbl 1390.15074
Greenbaum, Anne; Choi, Daeshik
2012
Parallelizing preconditioned conjugate gradient algorithms. Zbl 0798.65040
Greenbaum, Anne; Li, Congming; Chao, Han Zheng
1989
A multigrid method for multiprocessors. Zbl 0616.65094
Greenbaum, A.
1986
Diagonal scalings of the Laplacian as preconditioners for other elliptic differential operators. Zbl 0754.65042
Greenbaum, A.
1992
Some extensions of the Crouzeix-Palencia result. Zbl 1392.15029
Caldwell, Trevor; Greenbaum, Anne; Li, Kenan
2018
Rapid parallel evaluation of integrals in potential theory on general three-dimensional regions. Zbl 0911.65016
Greenbaum, A.; Mayo, A.
1998
Optimal preconditioners of a given sparsity pattern. Zbl 0689.65014
Greenbaum, A.; Rodrigue, G. H.
1989
A Petrov-Galerkin finite element method for solving the neutron transport equation. Zbl 0589.65090
Greenbaum, A.; Ferguson, J. M.
1986
Roots of matrices in the study of GMRES convergence and Crouzeix’s conjecture. Zbl 1314.15015
Choi, Daeshik; Greenbaum, Anne
2015
Upper and lower bounds on norms of functions of matrices. Zbl 1155.15032
Greenbaum, Anne
2009
Characterizations of the polynomial numerical hull of degree $$k$$. Zbl 1106.15018
Burke, James V.; Greenbaum, Anne
2006
Card shuffling and the polynomial numerical hull of degree $$k$$. Zbl 1047.15013
Greenbaum, Anne
2003
Max-min properties of matrix factor norms. Zbl 0799.15014
Greenbaum, A.; Gurvits, L.
1994
Analysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem. Zbl 1363.65213
Chen, Meng-Huo; Greenbaum, Anne
2015
Some theoretical results derived from polynomial numerical hulls of Jordan blocks. Zbl 1068.15039
Greenbaum, Anne
2004
Accuracy of computed solutions from conjugate-gradient-like methods. Zbl 0811.65026
Greenbaum, Anne
1994
Variational analysis of the Crouzeix ratio. Zbl 1376.15015
Greenbaum, Anne; Lewis, Adrian S.; Overton, Michael L.
2017
Near normal dilations of nonnormal matrices and linear operators. Zbl 1388.15019
Greenbaum, Anne; Caldwell, Trevor; Li, Kenan
2016
Numerical methods. Design, analysis, and computer implementation of algorithms. Zbl 1247.65001
Greenbaum, Anne; Chartier, Timothy P.
2012
First-order perturbation theory for eigenvalues and eigenvectors. Zbl 07207347
Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L.
2020
Spectral sets: numerical range and beyond. Zbl 07122453
Crouzeix, Michel; Greenbaum, Anne
2019
Numerical investigation of Crouzeix’s conjecture. Zbl 1415.15021
Greenbaum, Anne; Overton, Michael L.
2018
An algorithm for finding a 2-similarity transformation from a numerical contraction to a contraction. Zbl 1323.65040
Choi, Daeshik; Greenbaum, Anne
2015
On solving indefinite symmetric linear systems by means of the Lanczos method. Zbl 0970.65040
Greenbaum, A.; Drushkin, V. L.; Knizhnerman, L. A.
1999
On the role of the left starting vector in the two-sided Lanczos algorithm and nonsymmetric linear system solvers. Zbl 0902.65011
Greenbaum, A.
1998
The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Zbl 1260.65026
Greenbaum, Anne
1994
First-order perturbation theory for eigenvalues and eigenvectors. Zbl 07207347
Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L.
2020
Spectral sets: numerical range and beyond. Zbl 07122453
Crouzeix, Michel; Greenbaum, Anne
2019
Some extensions of the Crouzeix-Palencia result. Zbl 1392.15029
Caldwell, Trevor; Greenbaum, Anne; Li, Kenan
2018
Numerical investigation of Crouzeix’s conjecture. Zbl 1415.15021
Greenbaum, Anne; Overton, Michael L.
2018
Variational analysis of the Crouzeix ratio. Zbl 1376.15015
Greenbaum, Anne; Lewis, Adrian S.; Overton, Michael L.
2017
Near normal dilations of nonnormal matrices and linear operators. Zbl 1388.15019
Greenbaum, Anne; Caldwell, Trevor; Li, Kenan
2016
Roots of matrices in the study of GMRES convergence and Crouzeix’s conjecture. Zbl 1314.15015
Choi, Daeshik; Greenbaum, Anne
2015
Analysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem. Zbl 1363.65213
Chen, Meng-Huo; Greenbaum, Anne
2015
An algorithm for finding a 2-similarity transformation from a numerical contraction to a contraction. Zbl 1323.65040
Choi, Daeshik; Greenbaum, Anne
2015
Crouzeix’s conjecture and perturbed Jordan blocks. Zbl 1390.15074
Greenbaum, Anne; Choi, Daeshik
2012
Numerical methods. Design, analysis, and computer implementation of algorithms. Zbl 1247.65001
Greenbaum, Anne; Chartier, Timothy P.
2012
Upper and lower bounds on norms of functions of matrices. Zbl 1155.15032
Greenbaum, Anne
2009
Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions. Zbl 1109.65028
Mayo, Anita; Greenbaum, Anne
2007
Characterizations of the polynomial numerical hull of degree $$k$$. Zbl 1106.15018
Burke, James V.; Greenbaum, Anne
2006
Some theoretical results derived from polynomial numerical hulls of Jordan blocks. Zbl 1068.15039
Greenbaum, Anne
2004
The polynomial numerical hulls of Jordan blocks and related matrices. Zbl 1044.15019
Faber, Vance; Greenbaum, Anne; Marshall, Donald E.
2003
Card shuffling and the polynomial numerical hull of degree $$k$$. Zbl 1047.15013
Greenbaum, Anne
2003
Generalizations of the field of values useful in the study of polynomial functions of a matrix. Zbl 1004.15027
Greenbaum, Anne
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.
1999
On solving indefinite symmetric linear systems by means of the Lanczos method. Zbl 0970.65040
Greenbaum, A.; Drushkin, V. L.; Knizhnerman, L. A.
1999
Using nonorthogonal Lanczos vectors in the computation of matrix functions. Zbl 0912.65021
Druskin, V.; Greenbaum, A.; Knizhnerman, L.
1998
Rapid parallel evaluation of integrals in potential theory on general three-dimensional regions. Zbl 0911.65016
Greenbaum, A.; Mayo, A.
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.
1998
Iterative methods for solving linear systems. Zbl 0883.65022
Greenbaum, Anne
1997
Estimating the attainable accuracy of recursively computed residual methods. Zbl 0873.65027
Greenbaum, Anne
1997
Numerical behaviour of the modified Gram-Schmidt GMRES implementation. Zbl 0891.65031
Greenbaum, A.; Rozložník, M.; Strakoš, Z.
1997
Any nonincreasing convergence curve is possible for GMRES. Zbl 0857.65029
Greenbaum, Anne; Pták, Vlastimil; Strakoš, Zdeněk
1996
Relations between Galerkin and norm-minimizing iterative methods for solving linear systems. Zbl 0855.65021
Cullum, Jane; Greenbaum, Anne
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.
1995
Numerical stability of GMRES. Zbl 0837.65040
Drkošová, J.; Greenbaum, A.; Rozložník, M.; Strakoš, Z.
1995
Matrices that generate the same Krylov residual spaces. Zbl 0803.65029
Greenbaum, Anne; Strakos, Zdenek
1994
GMRES/CR and Arnoldi/Lanczos as matrix approximation problems. Zbl 0806.65031
Greenbaum, Anne; Trefethen, Lloyd N.
1994
Max-min properties of matrix factor norms. Zbl 0799.15014
Greenbaum, A.; Gurvits, L.
1994
Accuracy of computed solutions from conjugate-gradient-like methods. Zbl 0811.65026
Greenbaum, Anne
1994
The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Zbl 1260.65026
Greenbaum, Anne
1994
Laplace’s equation and the Dirichlet-Neumann map in multiply connected domains. Zbl 0769.65085
Greenbaum, A.; Greengard, L.; McFadden, G. B.
1993
Predicting the behavior of finite precision Lanczos and conjugate gradient computations. Zbl 0755.65037
Greenbaum, A.; Strakos, Z.
1992
Fast parallel iterative solution of Poisson’s and the biharmonic equations on irregular regions. Zbl 0752.65080
Mayo, A.; Greenbaum, A.
1992
On the numerical solution of the biharmonic equation in the plane. Zbl 0824.65117
Greenbaum, Anne; Greengard, Leslie; Mayo, Anita
1992
Diagonal scalings of the Laplacian as preconditioners for other elliptic differential operators. Zbl 0754.65042
Greenbaum, A.
1992
Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences. Zbl 0662.65032
Greenbaum, A.
1989
Parallelizing preconditioned conjugate gradient algorithms. Zbl 0798.65040
Greenbaum, Anne; Li, Congming; Chao, Han Zheng
1989
Optimal preconditioners of a given sparsity pattern. Zbl 0689.65014
Greenbaum, A.; Rodrigue, G. H.
1989
A multigrid method for multiprocessors. Zbl 0616.65094
Greenbaum, A.
1986
A Petrov-Galerkin finite element method for solving the neutron transport equation. Zbl 0589.65090
Greenbaum, A.; Ferguson, J. M.
1986
Analysis of a multigrid method as an iterative technique for solving linear systems. Zbl 0539.65011
Greenbaum, Anne
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.
1979
Comparison of splittings used with the conjugate gradient algorithm. Zbl 0394.65011
Greenbaum, A.
1979
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#### Cited by 2,183 Authors

 20 Greenbaum, Anne 15 Axelsson, Axel Owe Holger 15 Benner, Peter 14 Strakoš, Zdeněk 13 Dongarra, Jack J. 12 Quintana-Ortí, Enrique S. 12 Serra-Capizzano, Stefano 11 Helsing, Johan 11 Li, Rencang 11 Meurant, Gérard A. 11 Rozlozník, Miroslav 11 Zlatev, Zahari 10 Simoncini, Valeria 9 Salemi, Abbas 8 Bai, Zhongzhi 8 Demmel, James Weldon 8 Golub, Gene Howard 7 Faragó, István 7 Kropinski, Mary Catherine A. 7 Li, Zhilin 7 Lowengrub, John Samuel 7 Quintana-Ortí, Gregorio 7 Van der Vorst, Henk Albertus 6 Aishima, Kensuke 6 Carson, Erin Claire 6 Duintjer Tebbens, Jurjen 6 Higham, Nicholas J. 6 Kressner, Daniel 6 Lin, Wen-Wei 6 Pan, Victor Yakovlevich 6 Pestana, Jennifer 6 Szyld, Daniel B. 6 van de Geijn, Robert Alexander 6 Wathen, Andrew John 5 Aghamollaei, Gholamreza 5 Bai, Zhaojun 5 Bhaya, Amit 5 Bientinesi, Paolo 5 Chen, Jinhai 5 Ding, Chao 5 Drmač, Zlatko 5 Ferronato, Massimiliano 5 Giraud, Luc 5 Gravvanis, George A. 5 Greengard, Leslie F. 5 Gutknecht, Martin H. 5 Karátson, János 5 Keyes, David Elliot 5 Langou, Julien 5 Lin, Lin 5 Lipitakis, Elias A. 5 Lu, Linzhang 5 Morgan, Ronald B. 5 O’Leary, Dianne P. 5 Paprzycki, Marcin 5 Quaife, Bryan D. 5 Saad, Yousef 5 Sherwin, Spencer J. 5 Sleijpen, Gerard L. G. 5 Sun, Defeng 5 Tichý, Petr 5 Toh, Kimchuan 5 Vecharynski, Eugene 5 Walker, David W. 5 Ward, Michael J. 5 Yang, Chao 5 Ying, Wenjun 4 Bosner, Nela 4 Botchev, Mikhail A. 4 Carpentieri, Bruno 4 Diao, Huaian 4 Du, Kui 4 Fasano, Giovanni 4 Güttel, Stefan 4 Hadjidimos, Apostolos 4 Haidar, Azzam 4 Havasi, Ágnes 4 Huang, Ting-Zhu 4 Kågström, Bo 4 Kamiya, Norio 4 Kita, Eisuke 4 Koev, Plamen 4 Kolokolnikov, Theodore 4 Kontoghiorghes, Erricos John 4 Liesen, Jörg 4 Mach, Thomas 4 Manteuffel, Thomas A. 4 Matsuo, Takayasu 4 Mehrmann, Volker 4 Murota, Kazuo 4 Nasser, Mohamed M. S. 4 Neytcheva, Maya G. 4 Novati, Paolo 4 Overton, Michael L. 4 Parlett, Beresford Neill 4 Reichel, Lothar 4 Stoll, Martin 4 Tomov, Stanimire Z. 4 Vuik, Cornelis 4 Wei, Juncheng ...and 2,083 more Authors
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#### Cited in 199 Serials

 126 Journal of Computational Physics 107 Linear Algebra and its Applications 89 Journal of Computational and Applied Mathematics 52 Numerical Linear Algebra with Applications 46 SIAM Journal on Scientific Computing 40 Computers & Mathematics with Applications 40 Applied Mathematics and Computation 40 BIT 35 Computer Physics Communications 34 Numerical Algorithms 33 Computer Methods in Applied Mechanics and Engineering 32 Applied Numerical Mathematics 25 Engineering Analysis with Boundary Elements 24 SIAM Journal on Matrix Analysis and Applications 23 International Journal for Numerical Methods in Engineering 23 Journal of Scientific Computing 22 Numerische Mathematik 19 Computers and Fluids 16 Optimization Methods & Software 13 Journal of Fluid Mechanics 12 Mathematics of Computation 12 Journal of Optimization Theory and Applications 12 Computational Optimization and Applications 12 Advances in Computational Mathematics 10 ACM Transactions on Mathematical Software 10 International Journal of Computer Mathematics 9 Mathematics and Computers in Simulation 9 Japan Journal of Industrial and Applied Mathematics 9 Computational Statistics and Data Analysis 9 Mathematical Programming. Series A. Series B 8 SIAM Journal on Optimization 7 Computing 7 Physica D 6 Parallel Computing 6 Applied Mathematics Letters 6 European Journal of Operational Research 5 International Journal for Numerical Methods in Fluids 5 Journal of Mathematical Physics 5 Calcolo 5 Physics of Fluids 5 Computational and Applied Mathematics 5 Acta Numerica 4 Acta Mechanica 4 Journal of the Mechanics and Physics of Solids 4 Linear and Multilinear Algebra 4 SIAM Journal on Numerical Analysis 4 Mathematical and Computer Modelling 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 JSIAM Letters 4 SIAM/ASA Journal on Uncertainty Quantification 3 International Journal of Solids and Structures 3 Wave Motion 3 Automatica 3 Theoretical Computer Science 3 Systems & Control Letters 3 Computer Aided Geometric Design 3 Computational Mechanics 3 Numerical Methods for Partial Differential Equations 3 SIAM Review 3 Computing and Visualization in Science 3 Mathematical and Computer Modelling of Dynamical Systems 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 International Journal of Modern Physics C 3 Concurrency and Computation: Practice & Experience 3 Journal of Numerical Mathematics 3 Journal of Applied Mathematics and Computing 3 Multiscale Modeling & Simulation 2 Applicable Analysis 2 International Journal of Control 2 International Journal of Heat and Mass Transfer 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Mathematical Biosciences 2 Journal of Soviet Mathematics 2 Numerical Functional Analysis and Optimization 2 Studies in Applied Mathematics 2 Journal of Symbolic Computation 2 Computers & Operations Research 2 Neural Networks 2 Annals of Operations Research 2 Journal of Global Optimization 2 Annals of Physics 2 Applied Mathematical Modelling 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Journal of Geodesy 2 Parallel Algorithms and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 International Journal of Numerical Modelling 2 European Journal of Mechanics. B. Fluids 2 International Journal of Applied Mathematics and Computer Science 2 Combustion Theory and Modelling 2 Journal of Applied Mathematics 2 Journal of Industrial and Management Optimization 2 The Journal of Prime Research in Mathematics 2 SIAM Journal on Imaging Sciences 2 Mathematical Programming Computation 2 Statistics and Computing 1 Astrophysics and Space Science ...and 99 more Serials
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#### Cited in 48 Fields

 945 Numerical analysis (65-XX) 193 Partial differential equations (35-XX) 174 Fluid mechanics (76-XX) 154 Linear and multilinear algebra; matrix theory (15-XX) 85 Mechanics of deformable solids (74-XX) 82 Operations research, mathematical programming (90-XX) 69 Computer science (68-XX) 41 Quantum theory (81-XX) 39 Optics, electromagnetic theory (78-XX) 38 Statistics (62-XX) 37 Ordinary differential equations (34-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 33 Statistical mechanics, structure of matter (82-XX) 29 Biology and other natural sciences (92-XX) 26 Operator theory (47-XX) 25 Systems theory; control (93-XX) 23 Probability theory and stochastic processes (60-XX) 19 Classical thermodynamics, heat transfer (80-XX) 15 Approximations and expansions (41-XX) 15 Integral equations (45-XX) 14 Potential theory (31-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Geophysics (86-XX) 10 Information and communication theory, circuits (94-XX) 8 Functions of a complex variable (30-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Combinatorics (05-XX) 5 Field theory and polynomials (12-XX) 5 Special functions (33-XX) 5 Mechanics of particles and systems (70-XX) 5 Astronomy and astrophysics (85-XX) 4 History and biography (01-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Sequences, series, summability (40-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1

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