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Foundations of Computational Mathematics

The 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: http://link.springer.com/journal/volumesAndIssues/10208
Comments: Indexed cover-to-cover
Documents Indexed: 566 Publications (since 2001)
References Indexed: 450 Publications with 16,487 References.
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Latest Issues

21, No. 3 (2021)
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...and 7 more Volumes
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Authors

10 Beltrán, Carlos
10 Shub, Michael
8 Bürgisser, Peter
8 Chartier, Philippe
8 Cucker, Felipe
8 Iserles, Arieh
8 Mrozek, Marian
8 Smale, Steve
7 Cohen, Albert
7 DeVore, Ronald A.
7 Munthe-Kaas, Hans Z.
7 Murua, Ander
6 Basu, Saugata
6 Mansfield, Elizabeth Louise
6 McLachlan, Robert I.
6 Pardo, Luis Miguel
6 Sturmfels, Bernd
6 Woźniakowski, Henryk
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 Krick, Teresa
5 Lecerf, Grégoire
5 Lubich, Christian
5 Malajovich, Gregorio
5 Mischaikow, Konstantin
5 Müller-Gronbach, Thomas
5 Nochetto, Ricardo Horacio
5 Ritter, Klaus
5 Sanz-Serna, Jesús María
5 Schwab, Christoph
5 Zgliczyński, Piotr
4 Bachmayr, Markus
4 Caponnetto, Andrea
4 Dyn, Nira
4 Edelman, Alan Stuart
4 Hairer, Ernst
4 Harer, John L.
4 Hauenstein, Jonathan D.
4 Leok, Melvin
4 Quispel, Gilles Reinout Willem
4 Saff, Edward Barry
4 Sottile, Frank
4 Temlyakov, Vladimir Nikolaevich
3 Adcock, Ben
3 Baratchart, Laurent
3 Barvinok, Alexander I.
3 De Loera, Jesús A.
3 Demanet, Laurent
3 Dereich, Steffen
3 Freedman, Michael Hartley
3 Grohs, Philipp
3 Hauser, Raphael Andreas
3 Heintz, Joos
3 Holm, Darryl D.
3 Hubert, Evelyne
3 Huybrechs, Daan
3 Hydon, Peter Ellsworth
3 Jentzen, Arnulf
3 Landsberg, Joseph Montague
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 Mémoli, Facundo
3 Mérigot, Quentin
3 Mishra, Siddhartha
3 Montanari, Andrea
3 Nanda, Vidit
3 Nesterov, Yurii
3 Nie, Jiawang
3 Olver, Peter John
3 Olver, Sheehan Shakiban
3 Peyré, Gabriel
3 Pilarczyk, Paweł
3 Ranestad, Kristian
3 Recht, Benjamin
3 Renegar, James
3 Romberg, Justin K.
3 Rosasco, Lorenzo A.
3 Salvy, Bruno
3 Stern, Ari
3 Stevenson, Rob P.
3 Strohmer, Thomas
3 Süli, Endre E.
3 Tadmor, Eitan
3 Tropp, Joel A.
3 Trouvé, Alain
3 Verdier, Olivier
3 Wasilkowski, Grzegorz W.
3 Yampolsky, Michael
3 Ye, Ke
...and 795 more Authors
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Fields

276 Numerical analysis (65-XX)
143 Computer science (68-XX)
84 Partial differential equations (35-XX)
74 Algebraic geometry (14-XX)
65 Operations research, mathematical programming (90-XX)
62 Approximations and expansions (41-XX)
59 Dynamical systems and ergodic theory (37-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
42 Probability theory and stochastic processes (60-XX)
39 Statistics (62-XX)
37 Ordinary differential equations (34-XX)
36 Commutative algebra (13-XX)
35 Algebraic topology (55-XX)
32 Convex and discrete geometry (52-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
30 Global analysis, analysis on manifolds (58-XX)
28 Differential geometry (53-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
23 Information and communication theory, circuits (94-XX)
22 Number theory (11-XX)
22 Functional analysis (46-XX)
22 Operator theory (47-XX)
19 Field theory and polynomials (12-XX)
18 Manifolds and cell complexes (57-XX)
18 Mechanics of particles and systems (70-XX)
14 Combinatorics (05-XX)
14 Functions of a complex variable (30-XX)
12 Fluid mechanics (76-XX)
11 Associative rings and algebras (16-XX)
10 Nonassociative rings and algebras (17-XX)
9 Mathematical logic and foundations (03-XX)
9 Topological groups, Lie groups (22-XX)
9 Quantum theory (81-XX)
9 Systems theory; control (93-XX)
8 Biology and other natural sciences (92-XX)
6 Category theory; homological algebra (18-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Special functions (33-XX)
6 General topology (54-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Group theory and generalizations (20-XX)
5 Real functions (26-XX)
5 Geometry (51-XX)
4 Difference and functional equations (39-XX)
4 Mechanics of deformable solids (74-XX)
4 Optics, electromagnetic theory (78-XX)
3 General and overarching topics; collections (00-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Integral transforms, operational calculus (44-XX)
1 History and biography (01-XX)
1 \(K\)-theory (19-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Publications by Year

Citations contained in zbMATH Open

517 Publications have been cited 7,938 times in 6,091 Documents Cited by Year
Exact matrix completion via convex optimization. Zbl 1219.90124
Candès, Emmanuel J.; Recht, Benjamin
483
2009
User-friendly tail bounds for sums of random matrices. Zbl 1259.60008
Tropp, Joel A.
189
2012
Optimality of a standard adaptive finite element method. Zbl 1136.65109
Stevenson, Rob
178
2007
Optimal rates for the regularized least-squares algorithm. Zbl 1129.68058
Caponnetto, A.; De Vito, E.
125
2007
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
123
2010
A rigorous ODE solver and Smale’s 14th problem. Zbl 1047.37012
Tucker, Warwick
116
2002
The convex geometry of linear inverse problems. Zbl 1280.52008
Chandrasekaran, Venkat; Recht, Benjamin; Parrilo, Pablo A.; Willsky, Alan S.
114
2012
Learning rates of least-square regularized regression. Zbl 1100.68100
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
107
2006
A PDE approach to fractional diffusion in general domains: a priori error analysis. Zbl 1347.65178
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
94
2015
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
91
2002
Nonlinear methods of approximation. Zbl 1039.41012
Temlyakov, V. N.
86
2003
On the ranks and border ranks of symmetric tensors. Zbl 1196.15024
Landsberg, J. M.; Teitler, Zach
83
2010
Local linear convergence for alternating and averaged nonconvex projections. Zbl 1169.49030
Lewis, A. S.; Luke, D. R.; Malick, J.
80
2009
Best choices for regularization parameters in learning theory: on the bias-variance problem. Zbl 1057.68085
Cucker, Felipe; Smale, Steve
79
2002
Trust-region methods on Riemannian manifolds. Zbl 1129.65045
Absil, P.-A.; Baker, C. G.; Gallivan, K. A.
77
2007
Adaptive restart for accelerated gradient schemes. Zbl 1320.90061
O’Donoghue, Brendan; Candès, Emmanuel
68
2015
Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit. Zbl 1183.68739
Needell, Deanna; Vershynin, Roman
67
2009
On the stability and accuracy of least squares approximations. Zbl 1276.93086
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
67
2013
On the rank of a binary form. Zbl 1211.14059
Comas, Gonzalo; Seiguer, Malena
64
2011
Smooth and algebraic invariants of a group action: Local and global constructions. Zbl 1145.53006
Hubert, Evelyne; Kogan, Irina A.
62
2007
Model selection for regularized least-squares algorithm in learning theory. Zbl 1083.68106
Vito, E.; Caponnetto, A.; Rosasco, L.
60
2005
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
58
2014
The Euclidean distance degree of an algebraic variety. Zbl 1370.51020
Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R.
55
2016
On the ideals of secant varieties of Segre varieties. Zbl 1068.14068
Landsberg, J. M.; Manivel, L.
53
2004
Hyperbolic programs, and their derivative relaxations. Zbl 1130.90363
Renegar, James
52
2006
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029
Wang, Bin; Iserles, Arieh; Wu, Xinyuan
50
2016
On the Riemannian geometry defined by self-concordant barriers and interior-point methods. Zbl 1049.90127
Nesterov, Yu. E.; Todd, M. J.
47
2002
Zigzag persistence. Zbl 1204.68242
Carlsson, Gunnar; de Silva, Vin
46
2010
Quantitative robust uncertainty principles and optimally sparse decompositions. Zbl 1102.94020
Candès, Emmanuel J.; Romberg, Justin
46
2006
Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166
Bou-Rabee, Nawaf; Marsden, Jerrold E.
44
2009
Solving quadratic equations via phaselift when there are about as many equations as unknowns. Zbl 1312.90054
Candès, Emmanuel J.; Li, Xiaodong
43
2014
Exact support recovery for sparse spikes deconvolution. Zbl 1327.65104
Duval, Vincent; Peyré, Gabriel
43
2015
The serendipity family of finite elements. Zbl 1218.65125
Arnold, Douglas N.; Awanou, Gerard
42
2011
Infinite-dimensional quadrature and approximation of distributions. Zbl 1177.65011
Creutzig, Jakob; Dereich, Steffen; Müller-Gronbach, Thomas; Ritter, Klaus
41
2009
Exact computation of joint spectral characteristics of linear operators. Zbl 1273.65054
Guglielmi, Nicola; Protasov, Vladimir
41
2013
Exponentials reproducing subdivision schemes. Zbl 1095.41001
Dyn, Nira; Levin, David; Luzzatto, Ariel
40
2003
A unifying local convergence result for Newton’s method in Riemannian manifolds. Zbl 1147.58008
Alvarez, F.; Bolte, J.; Munier, J.
39
2008
Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry. Zbl 1382.92272
Müller, Stefan; Feliu, Elisenda; Regensburger, Georg; Conradi, Carsten; Shiu, Anne; Dickenstein, Alicia
39
2016
Analysis of discrete \(L^2\) projection on polynomial spaces with random evaluations. Zbl 1301.41005
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
38
2014
Geometric inference for probability measures. Zbl 1230.62074
Chazal, Frédéric; Cohen-Steiner, David; Mérigot, Quentin
38
2011
Multi-level quasi-Monte Carlo finite element methods for a class of elliptic PDEs with random coefficients. Zbl 1318.65006
Kuo, Frances Y.; Schwab, Christoph; Sloan, Ian H.
37
2015
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation. Zbl 0984.65101
Zgliczyński, Piotr; Mischaikow, Konstantin
37
2001
Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
37
2006
An interpolating distance between optimal transport and Fisher-Rao metrics. Zbl 1385.49031
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
37
2018
\(C^1\) Lohner algorithm. Zbl 1049.65038
Zgliczynski, Piotr
36
2002
Metamorphoses through Lie group action. Zbl 1099.68116
Trouvé, Alain; Younes, Laurent
36
2005
Lipschitz functions have \(L_{p}\)-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
35
2010
An algorithmic approach to chain recurrence. Zbl 1099.37010
Kalies, W. D.; Mischaikow, K.; VanderVorst, R. C. A. M.
35
2005
Symmetric exponential integrators with an application to the cubic Schrödinger equation. Zbl 1147.65102
Celledoni, Elena; Cohen, David; Owren, Brynjulf
34
2008
The \(\mathcal A\)-truncated \(K\)-moment problem. Zbl 1331.65172
Nie, Jiawang
34
2014
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
34
2007
A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022
Mémoli, Facundo; Sapiro, Guillermo
34
2005
Semidefinite characterization and computation of zero-dimensional real radical ideals. Zbl 1176.14010
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp
33
2008
A conjecture on exceptional orthogonal polynomials. Zbl 1282.33019
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
33
2013
Algebraic structures of B-series. Zbl 1201.65124
Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles
32
2010
Quadratic Newton iteration for systems with multiplicity. Zbl 1030.65050
Lecerf, G.
31
2002
Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws. Zbl 1371.65080
Fjordholm, Ulrik S.; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan
31
2017
Generalized sampling and infinite-dimensional compressed sensing. Zbl 1379.94026
Adcock, Ben; Hansen, Anders C.
31
2016
Online learning algorithms. Zbl 1119.68098
Smale, Steve; Yao, Yuan
31
2006
The theory of the interleaving distance on multidimensional persistence modules. Zbl 1335.55006
Lesnick, Michael
31
2015
Transversality and alternating projections for nonconvex sets. Zbl 1338.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
31
2015
The existence of Shilnikov homoclinic orbits in the Michelson system: A computer assisted proof. Zbl 1130.37415
Wilczak, Daniel
30
2006
Combinatorial sublinear-time Fourier algorithms. Zbl 1230.65145
Iwen, M. A.
30
2010
Approximation methods for supervised learning. Zbl 1146.62322
DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir
30
2006
A variational complex for difference equations. Zbl 1057.39013
Hydon, Peter E.; Mansfield, Elizabeth L.
29
2004
Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information. Zbl 1056.42002
Tadmor, Eitan; Tanner, Jared
29
2002
On post-Lie algebras, Lie-Butcher series and moving frames. Zbl 1327.17001
Munthe-Kaas, Hans Z.; Lundervold, Alexander
29
2013
The Hopf algebra of rooted trees, free Lie algebras, and Lie series. Zbl 1116.17004
Murua, A.
27
2006
Convergence of fixed-point continuation algorithms for matrix rank minimization. Zbl 1219.90195
Goldfarb, Donald; Ma, Shiqian
27
2011
Complexity of Bezout’s theorem. VI: Geodesics in the condition (number) metric. Zbl 1175.65060
Shub, Michael
27
2009
Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
27
2009
On tensor completion via nuclear norm minimization. Zbl 1378.90066
Yuan, Ming; Zhang, Cun-Hui
27
2016
Random gradient-free minimization of convex functions. Zbl 1380.90220
Nesterov, Yurii; Spokoiny, Vladimir
27
2017
A geometric analysis of phase retrieval. Zbl 1401.94049
Sun, Ju; Qu, Qing; Wright, John
27
2018
Joint invariant signatures. Zbl 1001.53004
Olver, Peter J.
27
2001
Metrics for generalized persistence modules. Zbl 1345.55006
Bubenik, Peter; de Silva, Vin; Scott, Jonathan
27
2015
Rigorous numerics for dissipative partial differential equations. II: Periodic orbit for the Kuramoto-Sivashinsky PDE – a computer-assisted proof. Zbl 1066.65105
Zgliczyński, Piotr
26
2004
Fast linear homotopy to find approximate zeros of polynomial systems. Zbl 1232.65075
Beltrán, Carlos; Pardo, Luis Miguel
26
2011
Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods. Zbl 1405.90076
Li, Guoyin; Pong, Ting Kei
26
2018
On the numerical stability of Fourier extensions. Zbl 1298.65198
Adcock, Ben; Huybrechs, Daan; Martín-Vaquero, Jesús
26
2014
The computational complexity of the Chow form. Zbl 1058.14075
Jeronimo, Gabriela; Krick, Teresa; Sabia, Juan; Sombra, Martín
25
2004
Tractability of approximation for weighted Korobov spaces on classical and quantum computers. Zbl 1072.81014
Novak, Erich; Sloan, Ian H.; Woźniakowski, Henryk
25
2004
Splitting integrators for nonlinear Schrödinger equations over long times. Zbl 1189.65301
Gauckler, Ludwig; Lubich, Christian
25
2010
Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. Zbl 1357.65153
Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André
25
2016
The hardness of polynomial equation solving. Zbl 1049.68070
Castro, D.; Giusti, M.; Heintz, J.; Matera, G.; Pardo, Luis M.
24
2003
A semidefinite approach for truncated \(K\)-moment problems. Zbl 1259.44005
Helton, J. William; Nie, Jiawang
24
2012
Numerical solution of Riemann-Hilbert problems: Painlevé II. Zbl 1214.30026
Olver, Sheehan
24
2011
On local convergence of the method of alternating projections. Zbl 1339.65079
Noll, Dominikus; Rondepierre, Aude
24
2016
Higher-order averaging, formal series and numerical integration. I: B-series. Zbl 1211.34052
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
24
2010
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta
24
2014
Typical real ranks of binary forms. Zbl 1330.14096
Blekherman, Grigoriy
24
2015
A Riemannian view on shape optimization. Zbl 1296.49037
Schulz, Volker H.
23
2014
Adaptive near-optimal rank tensor approximation for high-dimensional operator equations. Zbl 1335.65049
Bachmayr, Markus; Dahmen, Wolfgang
23
2015
Isosingular sets and deflation. Zbl 1276.65029
Hauenstein, Jonathan D.; Wampler, Charles W.
22
2013
Nonlinear Schrödinger equations and their spectral semi-discretizations over long times. Zbl 1194.37121
Gauckler, Ludwig; Lubich, Christian
22
2010
A Magnus- and Fer-type formula in dendriform algebras. Zbl 1173.17002
Ebrahimi-Fard, Kurusch; Manchon, Dominique
22
2009
Random sampling of sparse trigonometric polynomials. II: Orthogonal matching pursuit versus basis pursuit. Zbl 1165.94314
Kunis, Stefan; Rauhut, Holger
22
2008
Rigorous computer-assisted application of KAM theory: a modern approach. Zbl 1383.37047
Figueras, J.-Ll.; Haro, A.; Luque, A.
22
2017
Gromov-Wasserstein distances and the metric approach to object matching. Zbl 1244.68078
Mémoli, Facundo
22
2011
Online gradient descent learning algorithms. Zbl 1175.68211
Ying, Yiming; Pontil, Massimiliano
21
2008
Weak convergence rates for Euler-type approximations of semilinear stochastic evolution equations with nonlinear diffusion coefficients. Zbl 07356509
Jentzen, Arnulf; Kurniawan, Ryan
2
2021
Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Zbl 07371332
Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina
2
2021
Towards massively parallel computations in algebraic geometry. Zbl 07371333
Böhm, Janko; Decker, Wolfram; Frühbis-Krüger, Anne; Pfreundt, Franz-Josef; Rahn, Mirko; Ristau, Lukas
2
2021
Perturbations of Christoffel-Darboux kernels: detection of outliers. Zbl 07326847
Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos
1
2021
Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085
Melenk, Jens M.; Sauter, Stefan A.
1
2021
Sparse harmonic transforms: a new class of sublinear-time algorithms for learning functions of many variables. Zbl 07356506
Choi, Bosu; Iwen, Mark A.; Krahmer, Felix
1
2021
Topological properties of the set of functions generated by neural networks of fixed size. Zbl 07356508
Petersen, Philipp; Raslan, Mones; Voigtlaender, Felix
1
2021
Noncommutative polynomials describing convex sets. Zbl 07356511
Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
1
2021
Stochastic subgradient method converges on tame functions. Zbl 1433.65141
Davis, Damek; Drusvyatskiy, Dmitriy; Kakade, Sham; Lee, Jason D.
15
2020
Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace-Beltrami operator. Zbl 1447.62141
García Trillos, Nicolás; Gerlach, Moritz; Hein, Matthias; Slepčev, Dejan
12
2020
Implicit regularization in nonconvex statistical estimation: gradient descent converges linearly for phase retrieval, matrix completion, and blind deconvolution. Zbl 1445.90089
Ma, Cong; Wang, Kaizheng; Chi, Yuejie; Chen, Yuxin
11
2020
A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations. Zbl 07161200
Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles
6
2020
Convergence analysis of deterministic kernel-based quadrature rules in misspecified settings. Zbl 07161204
Kanagawa, Motonobu; Sriperumbudur, Bharath K.; Fukumizu, Kenji
5
2020
Operator scaling: theory and applications. Zbl 1432.68617
Garg, Ankit; Gurvits, Leonid; Oliveira, Rafael; Wigderson, Avi
5
2020
On the sample complexity of the linear quadratic regulator. Zbl 1447.49052
Dean, Sarah; Mania, Horia; Matni, Nikolai; Recht, Benjamin; Tu, Stephen
5
2020
Computing tropical varieties over fields with valuation. Zbl 1445.14085
Markwig, Thomas; Ren, Yue
4
2020
Local cohomology and stratification. Zbl 1439.55005
Nanda, Vidit
2
2020
Certifying global optimality of graph cuts via semidefinite relaxation: a performance guarantee for spectral clustering. Zbl 1445.90109
Ling, Shuyang; Strohmer, Thomas
2
2020
Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs. Zbl 1454.65160
Bachmayr, Markus; Kazeev, Vladimir
2
2020
Multisymplecticity of hybridizable discontinuous Galerkin methods. Zbl 07161201
Mclachlan, Robert I.; Stern, Ari
1
2020
Computing the homology of semialgebraic sets. I: Lax formulas. Zbl 1440.14264
Bürgisser, Peter; Cucker, Felipe; Tonelli-Cueto, Josué
1
2020
The real polynomial eigenvalue problem is well conditioned on the average. Zbl 07184254
Beltrán, Carlos; Kozhasov, Khazhgali
1
2020
Are two given maps homotopic? An algorithmic viewpoint. Zbl 1436.55020
Filakovský, M.; Vokřínek, L.
1
2020
Geometry of matrix polynomial spaces. Zbl 1444.15007
Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo; Van Dooren, Paul
1
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Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions. Zbl 1447.65050
Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana
1
2020
Projective geometry of Wachspress coordinates. Zbl 1451.14131
Kohn, Kathlén; Ranestad, Kristian
1
2020
Computing the interleaving distance is NP-hard. Zbl 1460.55006
Bjerkevik, Håvard Bakke; Botnan, Magnus Bakke; Kerber, Michael
1
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Inverse potential problems for divergence of measures with total variation regularization. Zbl 1460.35077
Baratchart, L.; Villalobos Guillén, C.; Hardin, D. P.; Northington, M. C.; Saff, E. B.
1
2020
On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data. Zbl 1454.65125
Lanthaler, Samuel; Mishra, Siddhartha
1
2020
Effective models and numerical homogenization for wave propagation in heterogeneous media on arbitrary timescales. Zbl 1456.35015
Abdulle, Assyr; Pouchon, Timothée
1
2020
On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings. Zbl 07290668
Bauschke, Heinz H.; Moursi, Walaa M.
1
2020
Stable phase retrieval in infinite dimensions. Zbl 1440.94010
Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Yin, Rujie
11
2019
Stable extrapolation of analytic functions. Zbl 1410.41001
Demanet, Laurent; Townsend, Alex
9
2019
Tensor FEM for spectral fractional diffusion. Zbl 1429.65272
Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph
7
2019
Efficient methods for the estimation of homogenized coefficients. Zbl 1411.82021
Mourrat, J.-C.
6
2019
Random bit quadrature and approximation of distributions on Hilbert spaces. Zbl 1432.60044
Giles, Michael B.; Hefter, Mario; Mayer, Lukas; Ritter, Klaus
5
2019
Fundamental limits of weak recovery with applications to phase retrieval. Zbl 1464.62296
Mondelli, Marco; Montanari, Andrea
5
2019
Tropical coordinates on the space of persistence barcodes. Zbl 1423.55007
Kališnik, Sara
4
2019
Improved complexity bounds for counting points on hyperelliptic curves. Zbl 07063480
Abelard, Simon; Gaudry, Pierrick; Spaenlehauer, Pierre-Jean
4
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The geometry of gaussoids. Zbl 1453.13076
Boege, Tobias; D’Alì, Alessio; Kahle, Thomas; Sturmfels, Bernd
4
2019
Correction to: “On the stability and accuracy of least squares approximations”. Zbl 1407.93436
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
3
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A geometric framework for stochastic shape analysis. Zbl 1422.60089
Arnaudon, Alexis; Holm, Darryl D.; Sommer, Stefan
3
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Mean estimation and regression under heavy-tailed distributions: A survey. Zbl 1431.62123
Lugosi, Gábor; Mendelson, Shahar
3
2019
On polynomial time methods for exact low-rank tensor completion. Zbl 1436.15031
Xia, Dong; Yuan, Ming
3
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Probabilistic condition number estimates for real polynomial systems. I: A broader family of distributions. Zbl 1409.65033
Ergür, Alperen A.; Paouris, Grigoris; Rojas, J. Maurice
2
2019
On the Dirac-Frenkel variational principle on tensor Banach spaces. Zbl 1427.46013
Falcó, Antonio; Hackbusch, Wolfgang; Nouy, Anthony
2
2019
Complexity classes and completeness in algebraic geometry. Zbl 1422.14065
Umut Isik, M.
2
2019
Semidefinite approximations of the matrix logarithm. Zbl 1411.90254
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
2
2019
Unified convergence analysis of numerical schemes for a miscible displacement problem. Zbl 1411.65109
Droniou, Jérôme; Eymard, Robert; Prignet, Alain; Talbot, Kyle S.
2
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Solving equations of random convex functions via anchored regression. Zbl 1422.62235
Bahmani, Sohail; Romberg, Justin
2
2019
Orthogonal systems with a skew-symmetric differentiation matrix. Zbl 1428.42048
Iserles, Arieh; Webb, Marcus
2
2019
On a randomized backward Euler method for nonlinear evolution equations with time-irregular coefficients. Zbl 07135262
Eisenmann, Monika; Kovács, Mihály; Kruse, Raphael; Larsson, Stig
2
2019
Complexity of sparse polynomial solving: homotopy on toric varieties and the condition metric. Zbl 1408.65032
Malajovich, Gregorio
1
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A polynomial rate of asymptotic regularity for compositions of projections in Hilbert space. Zbl 07027311
Kohlenbach, Ulrich
1
2019
Orthogonal structure on a wedge and on the boundary of a square. Zbl 1428.42049
Olver, Sheehan; Xu, Yuan
1
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Variational discretizations of gauge field theories using group-equivariant interpolation. Zbl 1437.37110
Leok, Melvin
1
2019
Interpolation, the rudimentary geometry of spaces of Lipschitz functions, and geometric complexity. Zbl 1447.57036
Weinberger, Shmuel
1
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Lower bounds on matrix factorization ranks via noncommutative polynomial optimization. Zbl 07118503
Gribling, Sander; de Laat, David; Laurent, Monique
1
2019
Rational invariants of even ternary forms under the orthogonal group. Zbl 1439.13019
Görlach, Paul; Hubert, Evelyne; Papadopoulo, Théo
1
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When is a polynomial ideal binomial after an ambient automorphism? Zbl 1429.13010
Katthän, Lukas; Michałek, Mateusz; Miller, Ezra
1
2019
An interpolating distance between optimal transport and Fisher-Rao metrics. Zbl 1385.49031
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
37
2018
A geometric analysis of phase retrieval. Zbl 1401.94049
Sun, Ju; Qu, Qing; Wright, John
27
2018
Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods. Zbl 1405.90076
Li, Guoyin; Pong, Ting Kei
26
2018
Optimal rates for regularization of statistical inverse learning problems. Zbl 1412.62042
Blanchard, Gilles; Mücke, Nicole
17
2018
On a generalization of the preconditioned Crank-Nicolson metropolis algorithm. Zbl 1391.60169
Rudolf, Daniel; Sprungk, Björn
16
2018
Discrete ABP estimate and convergence rates for linear elliptic equations in non-divergence form. Zbl 1397.65286
Nochetto, Ricardo H.; Zhang, Wujun
15
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Random Laplacian matrices and convex relaxations. Zbl 1386.15065
Bandeira, Afonso S.
15
2018
Convergence of a mixed finite element-finite volume scheme for the isentropic Navier-Stokes system via dissipative measure-valued solutions. Zbl 1402.65096
Feireisl, Eduard; Lukáčová-Medvid’ová, Mária
12
2018
Low regularity exponential-type integrators for semilinear Schrödinger equations. Zbl 1402.65098
Ostermann, Alexander; Schratz, Katharina
12
2018
Infinite-dimensional compressed sensing and function interpolation. Zbl 1396.41001
Adcock, Ben
11
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Second-order optimality and beyond: characterization and evaluation complexity in convexly constrained nonlinear optimization. Zbl 1405.90125
Cartis, Coralia; Gould, Nick I. M.; Toint, Philippe L.
10
2018
Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity. Zbl 1410.65347
Kunstmann, Peer C.; Li, Buyang; Lubich, Christian
8
2018
Discrete moving frames on lattice varieties and lattice-based multispaces. Zbl 1390.14101
Marí Beffa, Gloria; Mansfield, Elizabeth L.
8
2018
Polynomial-exponential decomposition from moments. Zbl 1427.14119
Mourrain, Bernard
7
2018
Algorithm for rigorous integration of delay differential equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation. Zbl 1402.65050
Szczelina, Robert; Zgliczyński, Piotr
6
2018
Delaunay triangulation of manifolds. Zbl 1395.57032
Boissonnat, Jean-Daniel; Dyer, Ramsay; Ghosh, Arijit
6
2018
The differential counting polynomial. Zbl 1386.12007
Lange-Hegermann, Markus
5
2018
Metamorphoses of functional shapes in Sobolev spaces. Zbl 1403.49021
Charon, N.; Charlier, B.; Trouvé, A.
4
2018
Fast structured matrix computations: tensor rank and Cohn-Umans method. Zbl 1454.65030
Ye, Ke; Lim, Lek-Heng
4
2018
Convergence of the Marker-and-Cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 1459.65168
Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K.
4
2018
Numerical computation of Galois groups. Zbl 1442.14186
Hauenstein, Jonathan D.; Rodriguez, Jose Israel; Sottile, Frank
4
2018
An approximate nerve theorem. Zbl 1400.55003
Govc, Dejan; Skraba, Primoz
3
2018
Exponential convergence of \(hp\)-FEM for elliptic problems in polyhedra: mixed boundary conditions and anisotropic polynomial degrees. Zbl 1402.65166
Schötzau, Dominik; Schwab, Christoph
3
2018
Optimal order quadrature error bounds for infinite-dimensional higher-order digital sequences. Zbl 1393.41010
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito
3
2018
Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058
Lenstra, H. W. jun.; Silverberg, A.
3
2018
A Lagrangian scheme à la Brenier for the incompressible Euler equations. Zbl 1410.35103
Gallouët, Thomas O.; Mérigot, Quentin
3
2018
Distortion varieties. Zbl 1408.14191
Kileel, Joe; Kukelova, Zuzana; Pajdla, Tomas; Sturmfels, Bernd
3
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Almost every real quadratic polynomial has a poly-time computable Julia set. Zbl 1441.03032
Dudko, Artem; Yampolsky, Michael
2
2018
Structure and stability of the one-dimensional Mapper. Zbl 1412.55017
Carrière, Mathieu; Oudot, Steve
2
2018
Interpolation on symmetric spaces via the generalized polar decomposition. Zbl 1398.41001
Gawlik, Evan S.; Leok, Melvin
2
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Computing explicit isomorphisms with full matrix algebras over \(\mathbb {F}_q(x)\). Zbl 1391.16032
Ivanyos, Gábor; Kutas, Péter; Rónyai, Lajos
2
2018
Kempe’s universality theorem for rational space curves. Zbl 1430.70006
Li, Zijia; Schicho, Josef; Schröcker, Hans-Peter
2
2018
The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions. Zbl 1388.41019
Ait-Haddou, Rachid; Mazure, Marie-Laurence
2
2018
Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010
Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar
2
2018
Computing the homology of real projective sets. Zbl 07031361
Cucker, Felipe; Krick, Teresa; Shub, Michael
2
2018
Finite element approximation of the spectrum of the curl operator in a multiply connected domain. Zbl 1404.65243
Alonso-Rodríguez, A.; Camaño, J.; Rodríguez, R.; Valli, A.; Venegas, P.
1
2018
Encoding algebraic power series. Zbl 1406.13032
Alonso, M. E.; Castro-Jiménez, F. J.; Hauser, Herwig
1
2018
On numerical Landau damping for splitting methods applied to the Vlasov-HMF model. Zbl 1388.35193
Faou, Erwan; Horsin, Romain; Rousset, Frédéric
1
2018
Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws. Zbl 1371.65080
Fjordholm, Ulrik S.; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan
31
2017
Random gradient-free minimization of convex functions. Zbl 1380.90220
Nesterov, Yurii; Spokoiny, Vladimir
27
2017
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Cited by 7,453 Authors

47 Schwab, Christoph
44 Zhou, Dingxuan
35 Ballico, Edoardo
29 Amat, Sergio P.
29 Praetorius, Dirk
26 Ferreira, Orizon Pereira
25 Hauenstein, Jonathan D.
25 Temlyakov, Vladimir Nikolaevich
25 Wu, Xinyuan
23 Dahlke, Stephan
23 Lessard, Jean-Philippe
23 Stevenson, Rob P.
23 Woźniakowski, Henryk
22 Chartier, Philippe
22 Mrozek, Marian
22 Nie, Jiawang
22 Rauhut, Holger
22 Wang, Bin
21 Chen, Dirong
21 Kuo, Frances Y.
21 Mireles-James, Jason D.
21 Nobile, Fabio
21 Sturmfels, Bernd
21 Wasilkowski, Grzegorz W.
20 Carstensen, Carsten
20 Mischaikow, Konstantin
19 Adcock, Ben
19 Jentzen, Arnulf
19 Sun, Hongwei
19 Tropp, Joel A.
18 Bernardi, Alessandra
18 Cucker, Felipe
18 Lin, Shaobo
18 Nochetto, Ricardo Horacio
18 Trillo, Juan Carlos
18 Xu, Zongben
17 Beltrán, Carlos
17 Cao, Feilong
17 Fan, Jinyan
16 Dinh Dũng
16 Mémoli, Facundo
16 Oliveira, Paulo Roberto
16 Peyré, Gabriel
16 Rosasco, Lorenzo A.
16 Sloan, Ian Hugh
16 Ullrich, Tino
16 Zgliczyński, Piotr
15 Bürgisser, Peter
15 Cohen, Albert
15 Dahmen, Wolfgang A.
15 Dick, Josef
15 Fornasier, Massimo
15 Harbrecht, Helmut
15 Hu, Ting
15 Iserles, Arieh
15 Kutyniok, Gitta
15 Murua, Ander
15 Pardo, Luis Miguel
15 Pilarczyk, Paweł
15 Ritter, Klaus
15 Tempone, Raúl F.
14 Ebrahimi-Fard, Kurusch
14 Grohs, Philipp
14 Guo, Zheng-Chu
14 Iwen, Mark A.
14 Leok, Melvin
14 Liandrat, Jacques
14 Luke, D. Russell
14 Manchon, Dominique
14 Otárola, Enrique
14 Romani, Lucia
14 Wu, Qiang
14 Zhou, Anwa
13 Absil, Pierre-Antoine
13 Cai, Jian-Feng
13 Cevher, Volkan
13 Huybrechs, Daan
13 Krahmer, Felix
13 Landsberg, Joseph Montague
13 Méhats, Florian
13 Narayan, Akil C.
13 Pong, Ting Kei
13 Schneider, Reinhold
13 Sickel, Winfried
13 Wei, Ke
13 Weinmann, Andreas
13 Xiang, Dao-Hong
12 Charina, Maria
12 Conti, Costanza
12 Fadili, Jalal M.
12 Faou, Erwan
12 Feischl, Michael
12 Guglielmi, Nicola
12 Kruger, Alexander Ya.
12 Li, Song
12 Lim, Lek-Heng
12 Matera, Guillermo
12 Mourrain, Bernard
12 Nuyens, Dirk
12 Olver, Peter John
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Cited in 576 Journals

232 Foundations of Computational Mathematics
157 Applied and Computational Harmonic Analysis
146 Mathematics of Computation
133 Numerische Mathematik
119 Journal of Complexity
117 SIAM Journal on Numerical Analysis
110 Linear Algebra and its Applications
109 Journal of Computational and Applied Mathematics
107 SIAM Journal on Scientific Computing
103 Mathematical Programming. Series A. Series B
97 SIAM Journal on Optimization
95 Journal of Computational Physics
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86 Journal of Symbolic Computation
78 The Annals of Statistics
78 Applied Mathematics and Computation
77 Advances in Computational Mathematics
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47 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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42 Inverse Problems
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40 BIT
39 Journal of Mathematical Physics
39 Advances in Mathematics
39 SIAM Journal on Applied Dynamical Systems
38 Analysis and Applications (Singapore)
36 SIAM/ASA Journal on Uncertainty Quantification
36 SIAM Journal on Applied Algebra and Geometry
31 Communications in Mathematical Physics
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30 Journal of Differential Equations
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28 International Journal of Wavelets, Multiresolution and Information Processing
27 Discrete and Continuous Dynamical Systems
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19 SIAM Journal on Mathematical Analysis
19 Multiscale Modeling & Simulation
19 Information and Inference
18 Bulletin of Mathematical Biology
18 Computer Aided Geometric Design
18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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17 Inverse Problems and Imaging
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14 Information Sciences
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14 Computational Methods in Applied Mathematics
14 Acta Numerica
14 Mathematics in Computer Science
13 International Journal for Numerical Methods in Engineering
13 Journal of Functional Analysis
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Transactions of the American Mathematical Society
13 Journal of Nonlinear Science
13 Journal of Mathematical Sciences (New York)
13 Mathematical Problems in Engineering
13 Set-Valued and Variational Analysis
12 Archive for Rational Mechanics and Analysis
12 Journal of Multivariate Analysis
12 Journal of Statistical Planning and Inference
12 SIAM Journal on Computing
12 Vietnam Journal of Mathematics
11 Communications in Algebra
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Cited in 62 Fields

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