Foundations of Computational MathematicsThe Journal of the Society for the Foundations of Computational Mathematics Short Title: Found. Comput. Math. Publisher: Springer US, New York, NY ISSN: 1615-3375; 1615-3383/e Online: https://link.springer.com/journal/10208/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 705 Publications (since 2001) References Indexed: 589 Publications with 23,408 References. all top 5 Latest Issues 24, No. 4 (2024) 24, No. 3 (2024) 24, No. 2 (2024) 24, No. 1 (2024) 23, No. 6 (2023) 23, No. 5 (2023) 23, No. 4 (2023) 23, No. 3 (2023) 23, No. 2 (2023) 23, No. 1 (2023) 22, No. 6 (2022) 22, No. 5 (2022) 22, No. 4 (2022) 22, No. 3 (2022) 22, No. 2 (2022) 22, No. 1 (2022) 21, No. 6 (2021) 21, No. 5 (2021) 21, No. 4 (2021) 21, No. 3 (2021) 21, No. 2 (2021) 21, No. 1 (2021) 20, No. 6 (2020) 20, No. 5 (2020) 20, No. 4 (2020) 20, No. 3 (2020) 20, No. 2 (2020) 20, No. 1 (2020) 19, No. 6 (2019) 19, No. 5 (2019) 19, No. 4 (2019) 19, No. 3 (2019) 19, No. 2 (2019) 19, No. 1 (2019) 18, No. 6 (2018) 18, No. 5 (2018) 18, No. 4 (2018) 18, No. 3 (2018) 18, No. 2 (2018) 18, No. 1 (2018) 17, No. 6 (2017) 17, No. 5 (2017) 17, No. 4 (2017) 17, No. 3 (2017) 17, No. 2 (2017) 17, No. 1 (2017) 16, No. 6 (2016) 16, No. 5 (2016) 16, No. 4 (2016) 16, No. 3 (2016) 16, No. 2 (2016) 16, No. 1 (2016) 15, No. 6 (2015) 15, No. 5 (2015) 15, No. 4 (2015) 15, No. 3 (2015) 15, No. 2 (2015) 15, No. 1 (2015) 14, No. 6 (2014) 14, No. 5 (2014) 14, No. 4 (2014) 14, No. 3 (2014) 14, No. 2 (2014) 14, No. 1 (2014) 13, No. 6 (2013) 13, No. 5 (2013) 13, No. 4 (2013) 13, No. 3 (2013) 13, No. 2 (2013) 13, No. 1 (2013) 12, No. 6 (2012) 12, No. 5 (2012) 12, No. 4 (2012) 12, No. 3 (2012) 12, No. 2 (2012) 12, No. 1 (2012) 11, No. 6 (2011) 11, No. 5 (2011) 11, No. 4 (2011) 11, No. 3 (2011) 11, No. 2 (2011) 11, No. 1 (2011) 10, No. 6 (2010) 10, No. 5 (2010) 10, No. 4 (2010) 10, No. 3 (2010) 10, No. 2 (2010) 10, No. 1 (2010) 9, No. 6 (2009) 9, No. 5 (2009) 9, No. 4 (2009) 9, No. 3 (2009) 9, No. 2 (2009) 9, No. 1 (2009) 8, No. 6 (2008) 8, No. 5 (2008) 8, No. 4 (2008) 8, No. 3 (2008) 8, No. 2 (2008) 8, No. 1 (2008) ...and 26 more Volumes all top 5 Authors 11 Beltrán, Carlos E. 10 Shub, Michael 9 Bürgisser, Peter 9 Cucker, Felipe 8 Chartier, Philippe 8 Cohen, Albert 8 DeVore, Ronald A. 8 Iserles, Arieh 8 Mrozek, Marian 8 Munthe-Kaas, Hans Z. 8 Murua, Ander 8 Smale, Stephen 7 Basu, Saugata 7 McLachlan, Robert I. 7 Sturmfels, Bernd 6 Mansfield, Elizabeth Louise 6 Nanda, Vidit 6 Pardo, Luis Miguel 6 Schwab, Christoph 6 Woźniakowski, Henryk 6 Zgliczyński, Piotr 5 Armentano, Diego 5 Candès, Emmanuel J. 5 Cohen-Steiner, David 5 Dahmen, Wolfgang A. 5 Edelsbrunner, Herbert 5 Giusti, Marc 5 Grigor’ev, Dmitriĭ Yur’evich 5 Grohs, Philipp 5 Krick, Teresa 5 Lecerf, Grégoire 5 Lubich, Christian 5 Malajovich, Gregorio 5 Mischaikow, Konstantin 5 Müller-Gronbach, Thomas 5 Nochetto, Ricardo Horacio 5 Quispel, Gilles Reinout Willem 5 Ritter, Klaus 5 Sanz-Serna, Jesús María 5 Sottile, Frank 5 Stern, Ari 4 Adcock, Ben 4 Bachmayr, Markus 4 Caponnetto, Andrea 4 Demanet, Laurent 4 Drusvyatskiy, Dmitriy 4 Dyn, Nira 4 Edelman, Alan Stuart 4 Hairer, Ernst 4 Harer, John L. 4 Hauenstein, Jonathan D. 4 Hubert, Evelyne 4 Hydon, Peter Ellsworth 4 Jentzen, Arnulf 4 Landsberg, Joseph Montague 4 Leok, Melvin 4 Mémoli, Facundo 4 Nie, Jiawang 4 Olver, Sheehan Shakiban 4 Peyré, Gabriel 4 Renegar, James 4 Saff, Edward Barry 4 Strohmer, Thomas 4 Temlyakov, Vladimir Nikolaevich 4 Tropp, Joel A. 4 Yampolsky, Michael 3 Baratchart, Laurent 3 Barvinok, Alexander I. 3 Berchenko-Kogan, Yakov 3 Blumberg, Andrew J. 3 Chandrasekaran, Venkat 3 Charon, Nicolas 3 Davis, Damek Shea 3 De Loera, Jesús A. 3 Dereich, Steffen 3 Ebrahimi-Fard, Kurusch 3 Freedman, Michael Hartley 3 Gawlik, Evan S. 3 Hauser, Raphael Andreas 3 Heintz, Joos 3 Holm, Darryl Dallas 3 Hu, Kaibo 3 Huybrechs, Daan 3 Jeronimo, Gabriela 3 Landi, Claudia 3 Lerman, Gilad 3 Leviatan, Dany 3 Lewis, Adrian S. 3 Lim, Lek-Heng 3 Lotz, Martin 3 Lundervold, Alexander 3 Marsden, Jerrold Eldon 3 Matera, Guillermo 3 Meer, Klaus 3 Mérigot, Quentin 3 Mishra, Siddhartha 3 Montanari, Andrea 3 Narcowich, Francis J. 3 Nesterov, Yurii 3 Olver, Peter John ...and 1,035 more Authors all top 5 Fields 343 Numerical analysis (65-XX) 179 Computer science (68-XX) 109 Partial differential equations (35-XX) 96 Algebraic geometry (14-XX) 91 Operations research, mathematical programming (90-XX) 76 Approximations and expansions (41-XX) 64 Dynamical systems and ergodic theory (37-XX) 63 Linear and multilinear algebra; matrix theory (15-XX) 59 Probability theory and stochastic processes (60-XX) 58 Statistics (62-XX) 44 Algebraic topology (55-XX) 40 Commutative algebra (13-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 40 Global analysis, analysis on manifolds (58-XX) 38 Ordinary differential equations (34-XX) 36 Convex and discrete geometry (52-XX) 36 Differential geometry (53-XX) 34 Operator theory (47-XX) 32 Functional analysis (46-XX) 32 Information and communication theory, circuits (94-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 25 Number theory (11-XX) 22 Combinatorics (05-XX) 21 Manifolds and cell complexes (57-XX) 20 Mechanics of particles and systems (70-XX) 19 Field theory and polynomials (12-XX) 18 Functions of a complex variable (30-XX) 16 Associative rings and algebras (16-XX) 15 Fluid mechanics (76-XX) 13 Nonassociative rings and algebras (17-XX) 13 Systems theory; control (93-XX) 11 Mathematical logic and foundations (03-XX) 11 Topological groups, Lie groups (22-XX) 11 Several complex variables and analytic spaces (32-XX) 9 Quantum theory (81-XX) 9 Biology and other natural sciences (92-XX) 8 Category theory; homological algebra (18-XX) 8 Special functions (33-XX) 8 General topology (54-XX) 7 Measure and integration (28-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Group theory and generalizations (20-XX) 6 Real functions (26-XX) 6 Geometry (51-XX) 6 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Difference and functional equations (39-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 660 Publications have been cited 13,698 times in 10,221 Documents Cited by ▼ Year ▼ Exact matrix completion via convex optimization. Zbl 1219.90124 Candès, Emmanuel J.; Recht, Benjamin 765 2009 User-friendly tail bounds for sums of random matrices. Zbl 1259.60008 Tropp, Joel A. 322 2012 Optimality of a standard adaptive finite element method. Zbl 1136.65109 Stevenson, Rob 245 2007 Optimal rates for the regularized least-squares algorithm. Zbl 1129.68058 Caponnetto, A.; De Vito, E. 215 2007 Adaptive restart for accelerated gradient schemes. Zbl 1320.90061 O’Donoghue, Brendan; Candès, Emmanuel 175 2015 Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064 Cohen, Albert; DeVore, Ronald; Schwab, Christoph 167 2010 A rigorous ODE solver and Smale’s 14th problem. Zbl 1047.37012 Tucker, Warwick 166 2002 The convex geometry of linear inverse problems. Zbl 1280.52008 Chandrasekaran, Venkat; Recht, Benjamin; Parrilo, Pablo A.; Willsky, Alan S. 164 2012 A PDE approach to fractional diffusion in general domains: a priori error analysis. 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Zbl 1176.14010 Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp 50 2008 Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation. Zbl 0984.65101 Zgliczyński, Piotr; Mischaikow, Konstantin 49 2001 Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001 Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos 49 2006 On post-Lie algebras, Lie-Butcher series and moving frames. Zbl 1327.17001 Munthe-Kaas, Hans Z.; Lundervold, Alexander 48 2013 Infinite-dimensional quadrature and approximation of distributions. Zbl 1177.65011 Creutzig, Jakob; Dereich, Steffen; Müller-Gronbach, Thomas; Ritter, Klaus 47 2009 Stochastic subgradient method converges on tame functions. Zbl 1433.65141 Davis, Damek; Drusvyatskiy, Dmitriy; Kakade, Sham; Lee, Jason D. 46 2020 A unifying local convergence result for Newton’s method in Riemannian manifolds. Zbl 1147.58008 Alvarez, F.; Bolte, J.; Munier, J. 45 2008 Analysis of discrete \(L^2\) projection on polynomial spaces with random evaluations. Zbl 1301.41005 Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R. 45 2014 Sliding windows and persistence: an application of topological methods to signal analysis. Zbl 1325.37054 Perea, Jose A.; Harer, John 45 2015 Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions. Zbl 1348.41010 Narcowich, Francis J.; Sun, Xingping; Ward, Joseph D.; Wendland, Holger 44 2007 Exponentials reproducing subdivision schemes. Zbl 1095.41001 Dyn, Nira; Levin, David; Luzzatto, Ariel 44 2003 Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002 Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John 44 2009 Metrics for generalized persistence modules. 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Zbl 1501.65084 Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas 10 2022 Zeroth-order nonconvex stochastic optimization: handling constraints, high dimensionality, and saddle points. Zbl 1516.90056 Balasubramanian, Krishnakumar; Ghadimi, Saeed 9 2022 A simple nearly optimal restart scheme for speeding up first-order methods. Zbl 1516.90054 Renegar, James; Grimmer, Benjamin 9 2022 Deep composition of tensor-trains using squared inverse Rosenblatt transports. Zbl 1505.65191 Cui, Tiangang; Dolgov, Sergey 8 2022 A new technique for preserving conservation laws. Zbl 1492.65235 Frasca-Caccia, Gianluca; Hydon, Peter E. 8 2022 Optimal stable nonlinear approximation. Zbl 1507.41010 Cohen, Albert; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 7 2022 Convergence rates of first- and higher-order dynamics for solving linear ill-posed problems. Zbl 07605400 Boţ, Radu; Dong, Guozhi; Elbau, Peter; Scherzer, Otmar 7 2022 Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories. Zbl 07568622 Lu, Fei; Maggioni, Mauro; Tang, Sui 7 2022 A counter-example to Hausmann’s conjecture. Zbl 1537.55008 Virk, Žiga 6 2022 Cumulant-cumulant relations in free probability theory from Magnus’ expansion. Zbl 1501.46055 Celestino, Adrian; Ebrahimi-Fard, Kurusch; Patras, Frédéric; Perales, Daniel 6 2022 Order conditions for sampling the invariant measure of ergodic stochastic differential equations on manifolds. Zbl 1487.60112 Laurent, Adrien; Vilmart, Gilles 5 2022 Construction of \(C^2\) cubic splines on arbitrary triangulations. Zbl 1522.41004 Lyche, Tom; Manni, Carla; Speleers, Hendrik 5 2022 A geometric integration approach to nonsmooth, nonconvex optimisation. Zbl 1500.65033 Riis, Erlend S.; Ehrhardt, Matthias J.; Quispel, G. R. 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Zbl 1505.14124 Breiding, P.; Sottile, F.; Woodcock, J. 3 2022 Tropical bisectors and Voronoi diagrams. Zbl 1511.14106 Criado, Francisco; Joswig, Michael; Santos, Francisco 3 2022 Low-rank perturbation of regular matrix pencils with symmetry structures. Zbl 1514.15020 De Terán, Fernando; Mehl, Christian; Mehrmann, Volker 3 2022 Numerical accuracy of ladder schemes for parallel transport on manifolds. Zbl 1496.53019 Guigui, Nicolas; Pennec, Xavier 3 2022 Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and \(H^{1+r}, r>0\), regularity. Zbl 1501.35156 Ern, Alexandre; Guermond, Jean-Luc 3 2022 The saddle point problem of polynomials. Zbl 1496.90052 Nie, Jiawang; Yang, Zi; Zhou, Guangming 3 2022 Matrix concentration for products. Zbl 1505.60013 Huang, De; Niles-Weed, Jonathan; Tropp, Joel A.; Ward, Rachel 2 2022 Do log factors matter? On optimal wavelet approximation and the foundations of compressed sensing. Zbl 1517.94038 Adcock, Ben; Brugiapaglia, Simone; King-Roskamp, Matthew 2 2022 Optimization over the Boolean hypercube via sums of nonnegative circuit polynomials. Zbl 1535.14136 Dressler, Mareike; Kurpisz, Adam; de Wolff, Timo 2 2022 Proximal methods avoid active strict saddles of weakly convex functions. Zbl 1494.65041 Davis, Damek; Drusvyatskiy, Dmitriy 2 2022 Stationary points at infinity for analytic combinatorics. Zbl 1500.05008 Baryshnikov, Yuliy; Melczer, Stephen; Pemantle, Robin 2 2022 A framework for differential calculus on persistence barcodes. Zbl 1507.55008 Leygonie, Jacob; Oudot, Steve; Tillmann, Ulrike 2 2022 The topological correctness of PL approximations of isomanifolds. Zbl 1506.57015 Boissonnat, Jean-Daniel; Wintraecken, Mathijs 2 2022 Sparse interpolation in terms of multivariate Chebyshev polynomials. Zbl 1504.13009 Hubert, Evelyne; Singer, Michael F. 1 2022 Automorphism groups of certain Enriques surfaces. Zbl 1511.14058 Brandhorst, Simon; Shimada, Ichiro 1 2022 Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Zbl 1486.65208 Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina 36 2021 Function values are enough for \(L_2\)-approximation. Zbl 1481.41014 Krieg, David; Ullrich, Mario 28 2021 Complexes from complexes. Zbl 1520.58011 Arnold, Douglas N.; Hu, Kaibo 24 2021 Topological properties of the set of functions generated by neural networks of fixed size. Zbl 1516.68082 Petersen, Philipp; Raslan, Mones; Voigtlaender, Felix 22 2021 A unifying representer theorem for inverse problems and machine learning. Zbl 1479.46088 Unser, Michael 20 2021 Newton polytopes and relative entropy optimization. Zbl 1483.90121 Murray, Riley; Chandrasekaran, Venkat; Wierman, Adam 16 2021 Low-rank matrix recovery with composite optimization: good conditioning and rapid convergence. Zbl 1480.65100 Charisopoulos, Vasileios; Chen, Yudong; Davis, Damek; Díaz, Mateo; Ding, Lijun; Drusvyatskiy, Dmitriy 13 2021 Primary ideals and their differential equations. Zbl 1511.13027 Cid-Ruiz, Yairon; Homs, Roser; Sturmfels, Bernd 13 2021 On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. Zbl 1471.65038 Golse, François; Jin, Shi; Paul, Thierry 13 2021 Weak convergence rates for Euler-type approximations of semilinear stochastic evolution equations with nonlinear diffusion coefficients. Zbl 1482.65143 Jentzen, Arnulf; Kurniawan, Ryan 12 2021 A neural network-based policy iteration algorithm with global \(H^2\)-superlinear convergence for stochastic games on domains. Zbl 1472.82030 Ito, Kazufumi; Reisinger, Christoph; Zhang, Yufei 11 2021 Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport. Zbl 1475.35151 Berman, Robert J. 10 2021 On the complexity exponent of polynomial system solving. Zbl 1457.14002 van der Hoeven, Joris; Lecerf, Grégoire 10 2021 Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085 Melenk, Jens M.; Sauter, Stefan A. 10 2021 ...and 560 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,025 Authors 66 Schwab, Christoph 53 Zhou, Dingxuan 41 Praetorius, Dirk 40 Wang, Bin 39 Ballico, Edoardo 38 Amat Plata, Sergio 36 Hauenstein, Jonathan D. 36 Wu, Xinyuan 34 Jentzen, Arnulf 34 Lessard, Jean-Philippe 34 Mémoli, Facundo 31 Nie, Jiawang 31 Temlyakov, Vladimir Nikolaevich 29 Ferreira, Orizon Pereira 29 Nobile, Fabio 29 Sturmfels, Bernd 28 Stevenson, Rob P. 27 Mrozek, Marian 26 Adcock, Ben 26 Dahlke, Stephan 26 Lin, Shaobo 26 Trillo, Juan Carlos 26 Ullrich, Tino 25 Chartier, Philippe 25 Cucker, Felipe 25 Mireles-James, Jason D. 25 Rauhut, Holger 25 Tropp, Joel A. 24 Nochetto, Ricardo Horacio 24 Rosasco, Lorenzo A. 24 Schratz, Katharina 24 Woźniakowski, Henryk 23 Cai, Jian-Feng 23 Ebrahimi-Fard, Kurusch 23 Kuo, Frances Y. 23 Wasilkowski, Grzegorz W. 22 Carstensen, Carsten 22 Cohen, Albert 22 Leok, Melvin 22 Mischaikow, Konstantin 22 Schneider, Reinhold 21 Bernardi, Alessandra 21 Chen, Dirong 21 Fornasier, Massimo 21 Gasnikov, Aleksandr V. 21 Grohs, Philipp 21 Guo, Zheng-Chu 21 Harbrecht, Helmut 21 Iserles, Arieh 21 Iwen, Mark A. 21 Krahmer, Felix 21 Landsberg, Joseph Montague 21 Manchon, Dominique 21 Ng, Michael Kwok-Po 21 Peyré, Gabriel 21 Xu, Zongben 20 Basu, Saugata 20 Cao, Feilong 20 Dinh Dũng 20 Fan, Jinyan 20 Hu, Ting 20 Rodriguez, Jose Israel 20 Shi, Lei 20 Sun, Hongwei 19 Bürgisser, Peter 19 Dahmen, Wolfgang A. 19 Dick, Josef 19 Kutyniok, Gitta 19 Pong, Ting Kei 19 Protasov, Vladimir Yu. 19 Tempone, Raúl F. 19 Zgliczyński, Piotr 18 Bao, Weizhu 18 Beltrán, Carlos E. 18 Feireisl, Eduard 18 Lim, Lek-Heng 18 Mourrain, Bernard 18 Murua, Ander 18 Narayan, Akil C. 18 Schost, Éric 18 Wen, Zaiwen 17 Drusvyatskiy, Dmitriy 17 Gay-Balmaz, François 17 Huybrechs, Daan 17 Kritzer, Peter 17 Li, Buyang 17 Luke, David Russell 17 Nanda, Vidit 17 Otárola, Enrique 17 Pardo, Luis Miguel 17 Pilarczyk, Paweł 17 Qi, Liqun 17 Ritter, Klaus 17 Sloan, Ian Hugh 17 van den Berg, Jan Bouwe 17 Wu, Qiang 17 Xu, Fei 16 Absil, Pierre-Antoine 16 Bubenik, Peter 16 Fadili, Jalal M. ...and 11,925 more Authors all top 5 Cited in 775 Journals 318 Foundations of Computational Mathematics 200 Applied and Computational Harmonic Analysis 198 Mathematics of Computation 184 SIAM Journal on Optimization 181 SIAM Journal on Numerical Analysis 178 Numerische Mathematik 173 Mathematical Programming. 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