SIAM ReviewA Publication of the Society for Industrial and Applied Mathematics Short Title: SIAM Rev. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 0036-1445; 1095-7200/e Online: http://epubs.siam.org/loi/sireadhttp://www.jstor.org/journals/00361445.html Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,990 Publications (since 1959) References Indexed: 234 Publications with 17,503 References. all top 5 Latest Issues 66, No. 1 (2024) 65, No. 4 (2023) 65, No. 3 (2023) 65, No. 2 (2023) 65, No. 1 (2023) 64, No. 4 (2022) 64, No. 3 (2022) 64, No. 2 (2022) 64, No. 1 (2022) 63, No. 4 (2021) 63, No. 3 (2021) 63, No. 2 (2021) 63, No. 1 (2021) 62, No. 4 (2020) 62, No. 3 (2020) 62, No. 2 (2020) 62, No. 1 (2020) 61, No. 4 (2019) 61, No. 3 (2019) 61, No. 2 (2019) 61, No. 1 (2019) 60, No. 4 (2018) 60, No. 3 (2018) 60, No. 2 (2018) 60, No. 1 (2018) 59, No. 4 (2017) 59, No. 3 (2017) 59, No. 2 (2017) 59, No. 1 (2017) 58, No. 4 (2016) 58, No. 3 (2016) 58, No. 2 (2016) 58, No. 1 (2016) 57, No. 4 (2015) 57, No. 3 (2015) 57, No. 2 (2015) 57, No. 1 (2015) 56, No. 4 (2014) 56, No. 3 (2014) 56, No. 2 (2014) 56, No. 1 (2014) 55, No. 4 (2013) 55, No. 3 (2013) 55, No. 2 (2013) 55, No. 1 (2013) 54, No. 4 (2012) 54, No. 3 (2012) 54, No. 2 (2012) 54, No. 1 (2012) 53, No. 4 (2011) 53, No. 3 (2011) 53, No. 2 (2011) 53, No. 1 (2011) 52, No. 4 (2010) 52, No. 3 (2010) 52, No. 2 (2010) 52, No. 1 (2010) 51, No. 4 (2009) 51, No. 3 (2009) 51, No. 2 (2009) 51, No. 1 (2009) 50, No. 4 (2008) 50, No. 3 (2008) 50, No. 2 (2008) 50, No. 1 (2008) 49, No. 4 (2007) 49, No. 3 (2007) 49, No. 2 (2007) 49, No. 1 (2007) 48, No. 4 (2006) 48, No. 3 (2006) 48, No. 2 (2006) 48, No. 1 (2006) 47, No. 4 (2005) 47, No. 3 (2005) 47, No. 2 (2005) 47, No. 1 (2005) 46, No. 4 (2004) 46, No. 3 (2004) 46, No. 2 (2004) 46, No. 1 (2004) 45, No. 4 (2003) 45, No. 3 (2003) 45, No. 2 (2003) 45, No. 1 (2003) 44, No. 4 (2002) 44, No. 3 (2002) 44, No. 2 (2002) 44, No. 1 (2002) 43, No. 4 (2001) 43, No. 3 (2001) 43, No. 2 (2001) 43, No. 1 (2001) 42, No. 4 (2000) 42, No. 3 (2000) 42, No. 2 (2000) 42, No. 1 (2000) 41, No. 4 (1999) 41, No. 3 (1999) 41, No. 2 (1999) ...and 73 more Volumes all top 5 Authors 27 O’Malley, Robert E. jun. 19 Trefethen, Lloyd Nicholas 15 Schulz, Volker H. 15 Watkins, David S. 10 Keller, Joseph Bishop 8 Layton, Anita T. 8 Rousseau, Cecil C. 8 Ruehr, Otto G. 7 Boyd, Stephen Poythress 7 Corless, Robert Malcolm 7 Higham, Desmond J. 7 Householder, Alston Scott 7 Josić, Krešimir 7 Klamkin, Murray Seymour 7 Strang, William Gilbert 6 Chapman, Stephen Jonathan 6 Gunzburger, Max D. 6 Meyer, Carl Dean jun. 6 Nievergelt, Yves 6 Ockendon, John R. 6 Stewart, Gilbert Wright 5 Angus, John E. 5 Balinski, Michel Louis 5 Du, Qiang 5 Embree, Mark 5 Gander, Martin Jakob 5 Golub, Gene Howard 5 Shampine, Lawrence Fred 5 Singpurwalla, Nozer D. 5 Tewarson, Reginald P. 5 Townsend, Alex 4 Borzì, Alfio 4 Boyd, John Philip 4 Diaconis, Persi Warren 4 Ford, William F. 4 Gleich, David F. 4 Glowinski, Roland 4 Greville, Thomas Nall Eden 4 Harary, Frank 4 Higham, Nicholas J. 4 Hochstadt, Harry 4 Howison, Samuel Dexter 4 Krall, Allan M. 4 Lax, Peter David 4 Mathis, Frank H. 4 Miranker, Willard Lee 4 Newton, Paul K. 4 Olver, Frank William John 4 Richards, Paul I. 4 Saad, Yousef 4 Shu, Chi-Wang 4 Sigillito, Vincent G. 4 Simpson, David John Warwick 4 Smith, Donald R. 4 Tadmor, Eitan 4 Tapia, Richard A. 4 Willcox, Karen E. 3 Antman, Stuart S. 3 Babuška, Ivo 3 Bangerth, Wolfgang 3 Belinfante, Johan Gijsbertus Frederik 3 Benson, Austin R. 3 Borwein, Jonathan Michael 3 Bou-Rabee, Nawaf M. 3 Bryan, Kurt M. 3 Bullo, Francesco 3 Cain, John W. 3 Carlitz, Leonard 3 Cheney, Margaret 3 Chu, Moody T. 3 Colton, David Lem 3 Decell, Henry P. jun. 3 Deconinck, Bernard 3 Dennis, John E. jun. 3 Dongarra, Jack J. 3 Dorr, Fred W. 3 Driscoll, Tobin A. 3 Eckhaus, Wiktor 3 Engelberg, Shlomo 3 Ermentrout, Bard G. 3 Estrada, Ernesto 3 Fillmore, Jay Paul 3 Gautschi, Walter 3 Gear, Charles William 3 Gill, Philip E. 3 Grcar, Joseph F. 3 Greenbaum, Anne 3 Greengard, Leslie F. 3 Gudder, Stanley P. 3 Hiriart-Urruty, Jean-Baptiste 3 Huestis, Stephen P. 3 Jeffries, Clark D. 3 Kailath, Thomas 3 Kolda, Tamara Gibson 3 Kolman, Bernard 3 Lancaster, Peter 3 Leise, Tanya 3 Levi, Mark L. 3 Lim, Lek-Heng 3 Majda, Andrew J. ...and 2,367 more Authors all top 5 Fields 571 Numerical analysis (65-XX) 350 General and overarching topics; collections (00-XX) 276 Partial differential equations (35-XX) 205 Operations research, mathematical programming (90-XX) 204 Ordinary differential equations (34-XX) 161 Computer science (68-XX) 151 Biology and other natural sciences (92-XX) 141 Probability theory and stochastic processes (60-XX) 135 Linear and multilinear algebra; matrix theory (15-XX) 120 Fluid mechanics (76-XX) 109 Dynamical systems and ergodic theory (37-XX) 106 Calculus of variations and optimal control; optimization (49-XX) 106 Statistics (62-XX) 102 Systems theory; control (93-XX) 97 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 82 Combinatorics (05-XX) 71 Information and communication theory, circuits (94-XX) 69 Mechanics of deformable solids (74-XX) 65 Mechanics of particles and systems (70-XX) 57 Approximations and expansions (41-XX) 45 Operator theory (47-XX) 44 History and biography (01-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 37 Optics, electromagnetic theory (78-XX) 34 Real functions (26-XX) 31 Geophysics (86-XX) 30 Functional analysis (46-XX) 29 Mathematics education (97-XX) 28 Functions of a complex variable (30-XX) 24 Integral equations (45-XX) 24 Quantum theory (81-XX) 23 Statistical mechanics, structure of matter (82-XX) 21 Number theory (11-XX) 21 Special functions (33-XX) 21 Convex and discrete geometry (52-XX) 21 Global analysis, analysis on manifolds (58-XX) 21 Classical thermodynamics, heat transfer (80-XX) 18 Integral transforms, operational calculus (44-XX) 18 Differential geometry (53-XX) 15 Geometry (51-XX) 10 Potential theory (31-XX) 9 Algebraic geometry (14-XX) 8 Measure and integration (28-XX) 8 Algebraic topology (55-XX) 7 Field theory and polynomials (12-XX) 7 Group theory and generalizations (20-XX) 7 Difference and functional equations (39-XX) 6 Mathematical logic and foundations (03-XX) 6 Topological groups, Lie groups (22-XX) 6 Relativity and gravitational theory (83-XX) 5 General topology (54-XX) 5 Astronomy and astrophysics (85-XX) 4 Commutative algebra (13-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Abstract harmonic analysis (43-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Nonassociative rings and algebras (17-XX) 3 Manifolds and cell complexes (57-XX) 2 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) 1 Associative rings and algebras (16-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,369 Publications have been cited 58,644 times in 52,007 Documents Cited by ▼ Year ▼ The mathematics of infectious diseases. Zbl 0993.92033 Hethcote, Herbert W. 1,454 2000 The structure and function of complex networks. Zbl 1029.68010 Newman, M. E. J. 1,389 2003 Fractional Brownian motions, fractional noises and applications. Zbl 0179.47801 Mandelbrot, B. B.; Van Ness, J. W. 1,274 1968 Tensor decompositions and applications. Zbl 1173.65029 Kolda, Tamara G.; Bader, Brett W. 1,154 2009 Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. Zbl 0345.47044 Amann, Herbert 1,058 1976 An algorithmic introduction to numerical simulation of stochastic differential equations. Zbl 0979.65007 Higham, Desmond J. 1,050 2001 Strong stability-preserving high-order time discretization methods. Zbl 0967.65098 Gottlieb, Sigal; Shu, Chi-Wang; Tadmor, Eitan 968 2001 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051 Harten, Amiram; Lax, Peter D.; van Leer, Bram 842 1983 On projection algorithms for solving convex feasibility problems. Zbl 0865.47039 Bauschke, Heinz H.; Borwein, Jonathan M. 748 1996 Semidefinite programming. Zbl 0845.65023 Vandenberghe, Lieven; Boyd, Stephen 732 1996 Mathematical analysis of HIV-1 dynamics in vivo. Zbl 1078.92502 Perelson, Alan S.; Nelson, Patrick W. 590 1999 Finding structure with randomness: probabilistic algorithms for constructing approximate matrix decompositions. Zbl 1269.65043 Halko, N.; Martinsson, P. G.; Tropp, J. A. 572 2011 Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization. Zbl 1198.90321 Recht, Benjamin; Fazel, Maryam; Parrilo, Pablo A. 562 2010 Julia: a fresh approach to numerical computing. Zbl 1356.68030 Bezanson, Jeff; Edelman, Alan; Karpinski, Stefan; Shah, Viral B. 552 2017 Theory and applications of robust optimization. Zbl 1233.90259 Bertsimas, Dimitris; Brown, David B.; Caramanis, Constantine 508 2011 Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. Zbl 1030.65029 Moler, Cleve; Van Loan, Charles 505 2003 Engineering and economic applications of complementarity problems. Zbl 0891.90158 Ferris, M. C.; Pang, J. S. 486 1997 Exact controllability, stabilization and perturbations for distributed systems. Zbl 0644.49028 Lions, J. L. 483 1988 Iterative methods by space decomposition and subspace correction. Zbl 0788.65037 Xu, Jinchao 448 1992 The role of critical exponents in blowup theorems. Zbl 0706.35008 Levine, Howard A. 436 1990 Controllability and stabilizability theory for linear partial differential equations: Recent progress and open questions. Zbl 0397.93001 Russell, David L. 428 1978 High order weighted essentially nonoscillatory schemes for convection dominated problems. Zbl 1160.65330 Shu, Chi-Wang 413 2009 A survey of projection-based model reduction methods for parametric dynamical systems. Zbl 1339.37089 Benner, Peter; Gugercin, Serkan; Willcox, Karen 393 2015 Analysis of discrete ill-posed problems by means of the L-curve. Zbl 0770.65026 Hansen, Per Christian 391 1992 Power-law distributions in empirical data. Zbl 1176.62001 Clauset, Aaron; Shalizi, Cosma Rohilla; Newman, M. E. J. 381 2009 Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis. Zbl 0725.73057 Lazer, A. C.; McKenna, P. J. 381 1990 The quadratic eigenvalue problem. Zbl 0985.65028 Tisseur, Françoise; Meerbergen, Karl 367 2001 Quasi-Newton methods, motivation and theory. Zbl 0356.65041 Dennis, J. E. jun.; More, Jorge J. 365 1977 Atomic decomposition by basis pursuit. Zbl 0979.94010 Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 339 2001 Semi-infinite programming: Theory, methods, and applications. Zbl 0784.90090 Hettich, R.; Kortanek, K. O. 337 1993 Conjugate gradient methods for Toeplitz systems. Zbl 0863.65013 Chan, Raymond H.; Ng, Michael K. 335 1996 Optimization methods for large-scale machine learning. Zbl 1397.65085 Bottou, Léon; Curtis, Frank E.; Nocedal, Jorge 332 2018 Barycentric Lagrange interpolation. Zbl 1061.65006 Berrut, Jean-Paul; Trefethen, Lloyd N. 332 2004 On the existence of positive solutions of semilinear elliptic equations. Zbl 0511.35033 Lions, Pierre-Louis 327 1982 Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168 Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 323 2012 From sparse solutions of systems of equations to sparse modeling of signals and images. Zbl 1178.68619 Bruckstein, Alfred M.; Donoho, David L.; Elad, Michael 314 2009 Mixture densities, maximum likelihood and the EM algorithm. Zbl 0536.62021 Redner, Richard A.; Walker, Homer F. 309 1984 A simple mesh generator in MATLAB. Zbl 1061.65134 Persson, Per-Olof; Strang, Gilbert 308 2004 Stability criteria for switched and hybrid systems. Zbl 1127.93005 Shorten, Robert; Wirth, Fabian; Mason, Oliver; Wulff, Kai; King, Christopher 293 2007 A new class of efficient and robust energy stable schemes for gradient flows. Zbl 1422.65080 Shen, Jie; Xu, Jie; Yang, Jiang 287 2019 Centroidal Voronoi tessellations: Applications and algorithms. Zbl 0983.65021 Du, Qiang; Faber, Vance; Gunzburger, Max 282 1999 Convergence conditions for ascent methods. Zbl 0177.20603 Wolfe, Philip 275 1969 Nonuniform sampling and reconstruction in shift-invariant spaces. Zbl 0995.42022 Aldroubi, Akram; Gröchenig, Karlheinz 274 2001 Nineteen dubious ways to compute the exponential of a matrix. Zbl 0395.65012 Moler, Cleve; Van Loan, Charles F. 265 1978 Continuous and discrete wavelet transforms. Zbl 0683.42031 Heil, Christopher E.; Walnut, David F. 257 1989 On the Gibbs phenomenon and its resolution. Zbl 0885.42003 Gottlieb, David; Shu, Chi-Wang 252 1997 Iterated random functions. Zbl 0926.60056 Diaconis, Persi; Freedman, David 245 1999 Is Gauss quadrature better than Clenshaw-Curtis? Zbl 1141.65018 Trefethen, Lloyd N. 242 2008 SNOPT: an SQP algorithm for large-scale constrained optimization. Zbl 1210.90176 Gill, Philip E.; Murray, Walter; Saunders, Michael A. 242 2005 On the generalized Emden-Fowler equation. Zbl 0295.34026 Wong, James S. W. 238 1975 Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. Zbl 1005.11507 Shor, Peter W. 232 1999 Heterophilious dynamics enhances consensus. Zbl 1310.92064 Motsch, Sebastien; Tadmor, Eitan 227 2014 The Korteweg-de Vries equation: A survey of results. Zbl 0333.35021 Miura, Robert M. 221 1976 Fast marching methods. Zbl 0926.65106 Sethian, J. A. 219 1999 A survey of the maximum principles for optimal control problems with state constraints. Zbl 0832.49013 Hartl, Richard F.; Sethi, Suresh P.; Vickson, Raymond G. 211 1995 Optimization by direct search: New perspectives on some Classical and modern methods. Zbl 1059.90146 Kolda, Tamara G.; Lewis, Robert Michael; Torczon, Virginia 210 2003 A branch-and-cut algorithm for the resolution of large-scale symmetric traveling salesman problems. Zbl 0734.90060 Padberg, Manfred; Rinaldi, Giovanni 208 1991 Front propagation in heterogeneous media. Zbl 0951.35060 Xin, Jack 206 1998 Electrical impedance tomography. Zbl 0927.35130 Cheney, Margaret; Isaacson, David; Newell, Jonathan C. 202 1999 The exponentially convergent trapezoidal rule. Zbl 1307.65031 Trefethen, Lloyd N.; Weideman, J. A. C. 201 2014 Computational aspects of three-term recurrence relations. Zbl 0168.15004 Gautschi, Walter 200 1967 Spatiotemporal complexity of plankton and fish dynamics. Zbl 1001.92050 Medvinsky, Alexander B.; Petrovskii, Sergei V.; Tikhonova, Irene A.; Malchow, Horst; Li, Bai-Lian 200 2002 On the divergence constraint in mixed finite element methods for incompressible flows. Zbl 1426.76275 John, Volker; Linke, Alexander; Merdon, Christian; Neilan, Michael; Rebholz, Leo G. 199 2017 Asymptotic methods in enumeration. Zbl 0294.05002 Bender, Edward A. 192 1974 JuMP: a modeling language for mathematical optimization. Zbl 1368.90002 Dunning, Iain; Huchette, Joey; Lubin, Miles 191 2017 The quasi-steady-state assumption: A case study in perturbation. Zbl 0679.34066 Segel, Lee A.; Slemrod, Marshall 188 1989 Some modified matrix eigenvalue problems. Zbl 0254.65027 Golub, Gene H. 183 1973 DeepXDE: a deep learning library for solving differential equations. Zbl 1459.65002 Lu, Lu; Meng, Xuhui; Mao, Zhiping; Karniadakis, George Em 177 2021 Convergence of adaptive finite element methods. Zbl 1016.65074 Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 176 2002 Mixed-mode oscillations with multiple time scales. Zbl 1250.34001 Desroches, Mathieu; Guckenheimer, John; Krauskopf, Bernd; Kuehn, Christian; Osinga, Hinke M.; Wechselberger, Martin 175 2012 Computational methods for linear matrix equations. Zbl 1386.65124 Simoncini, V. 174 2016 Error and perturbation bounds for subspaces associated with certain eigenvalue problems. Zbl 0297.65030 Stewart, G. W. 171 1973 Mathematical models of avascular tumor growth. Zbl 1117.93011 Roose, Tiina; Chapman, S. Jonathan; Maini, Philip K. 170 2007 Point-to-set maps in mathematical programming. Zbl 0256.90042 Hogan, William W. 168 1973 The role of the group generalized inverse in the theory of finite Markov chains. Zbl 0313.60044 Meyer, Carl D. jun. 166 1975 A survey of the S-lemma. Zbl 1128.90046 Pólik, Imre; Terlaky, Tamás 162 2007 Propagation, observation, and control of waves approximated by finite difference methods. Zbl 1077.65095 Zuazua, Enrique 161 2005 Row-action methods for huge and sparse systems and their applications. Zbl 0469.65037 Censor, Yair 161 1981 Analysis and approximation of the Ginzburg-Landau model of superconductivity. Zbl 0787.65091 Du, Qiang; Gunzburger, Max D.; Peterson, Janet S. 161 1992 An introductory approach to duality in optimal stochastic control. Zbl 0378.93049 Bismut, Jean-Michel 160 1978 Thin films with high surface tension. Zbl 0908.35057 Myers, T. G. 157 1998 Contraction mappings in the theory underlying dynamic programming. Zbl 0154.45101 Denardo, E. V. 156 1967 Bifurcations in nonsmooth dynamical systems. Zbl 1168.34006 di Bernardo, Mario; Budd, Chris J.; Champneys, Alan R.; Kowalczyk, Piotr; Nordmark, Arne B.; Tost, Gerard Olivar; Piiroinen, Petri T. 153 2008 Group velocity in finite difference schemes. Zbl 0487.65055 Trefethen, Lloyd N. 151 1982 Updating the inverse of a matrix. Zbl 0671.65018 Hager, William W. 150 1989 A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1226.65004 Babuška, Ivo; Nobile, Fabio; Tempone, Raúl 150 2010 The \(p\) and \(h-p\) versions of the finite element method, basic principles and properties. Zbl 0813.65118 Babuška, Ivo; Suri, Manil 149 1994 Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003 Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 146 2018 Simplicial and continuation methods for approximating fixed points and solutions to systems of equations. Zbl 0432.65027 Allgower, Eugene; Georg, Kurt 145 1980 A direct formulation for sparse PCA using semidefinite programming. Zbl 1128.90050 d’Aspremont, Alexandre; El Ghaoui, Laurent; Jordan, Michael I.; Lanckriet, Gert R. G. 144 2007 Displacement structure: Theory and applications. Zbl 0839.65028 Kailath, Thomas; Sayed, Ali H. 143 1995 Convergence conditions for ascent methods. II: Some corrections. Zbl 0216.26901 Wolfe, Philip 142 1971 Pseudospectra of linear operators. Zbl 0896.15006 Trefethen, Lloyd N. 139 1997 Some comments on Fourier analysis, uncertainty and modeling. Zbl 0571.94004 Slepian, David 139 1983 Isoperimetric inequalities and their applications. Zbl 0154.12602 Payne, L. E. 137 1967 Lagrange multipliers and optimality. Zbl 0779.49024 Rockafellar, R. Tyrrell 134 1993 Interior methods for nonlinear optimization. Zbl 1028.90060 Forsgren, Anders; Gill, Philip E.; Wright, Margaret H. 134 2002 Heuristic methods for location-allocation problems. Zbl 0956.90014 Cooper, Leon 133 1964 Accelerating the nonuniform fast Fourier transform. Zbl 1064.65156 Greengard, Leslie; Lee, June-Yub 133 2004 Inverse eigenvalue problems. Zbl 0915.15008 Chu, Moody T. 132 1998 Proximal splitting algorithms for convex optimization: a tour of recent advances, with new twists. 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