# zbMATH — the first resource for mathematics

## 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

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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)

#### Citations contained in zbMATH Open

518 Publications have been cited 7,946 times in 6,099 Documents Cited by Year
Exact matrix completion via convex optimization. Zbl 1219.90124
Candès, Emmanuel J.; Recht, Benjamin
2009
User-friendly tail bounds for sums of random matrices. Zbl 1259.60008
Tropp, Joel A.
2012
Optimality of a standard adaptive finite element method. Zbl 1136.65109
Stevenson, Rob
2007
Optimal rates for the regularized least-squares algorithm. Zbl 1129.68058
Caponnetto, A.; De Vito, E.
2007
Convergence rates of best $$N$$-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
2010
A rigorous ODE solver and Smale’s 14th problem. Zbl 1047.37012
Tucker, Warwick
2002
The convex geometry of linear inverse problems. Zbl 1280.52008
Chandrasekaran, Venkat; Recht, Benjamin; Parrilo, Pablo A.; Willsky, Alan S.
2012
Learning rates of least-square regularized regression. Zbl 1100.68100
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
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.
2015
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
2002
Nonlinear methods of approximation. Zbl 1039.41012
Temlyakov, V. N.
2003
On the ranks and border ranks of symmetric tensors. Zbl 1196.15024
Landsberg, J. M.; Teitler, Zach
2010
Local linear convergence for alternating and averaged nonconvex projections. Zbl 1169.49030
Lewis, A. S.; Luke, D. R.; Malick, J.
2009
Best choices for regularization parameters in learning theory: on the bias-variance problem. Zbl 1057.68085
Cucker, Felipe; Smale, Steve
2002
Trust-region methods on Riemannian manifolds. Zbl 1129.65045
Absil, P.-A.; Baker, C. G.; Gallivan, K. A.
2007
O’Donoghue, Brendan; Candès, Emmanuel
2015
Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit. Zbl 1183.68739
Needell, Deanna; Vershynin, Roman
2009
On the stability and accuracy of least squares approximations. Zbl 1276.93086
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
2013
On the rank of a binary form. Zbl 1211.14059
Comas, Gonzalo; Seiguer, Malena
2011
Smooth and algebraic invariants of a group action: Local and global constructions. Zbl 1145.53006
Hubert, Evelyne; Kogan, Irina A.
2007
Model selection for regularized least-squares algorithm in learning theory. Zbl 1083.68106
Vito, E.; Caponnetto, A.; Rosasco, L.
2005
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
2014
The Euclidean distance degree of an algebraic variety. Zbl 1370.51020
Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R.
2016
On the ideals of secant varieties of Segre varieties. Zbl 1068.14068
Landsberg, J. M.; Manivel, L.
2004
Hyperbolic programs, and their derivative relaxations. Zbl 1130.90363
Renegar, James
2006
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029
Wang, Bin; Iserles, Arieh; Wu, Xinyuan
2016
On the Riemannian geometry defined by self-concordant barriers and interior-point methods. Zbl 1049.90127
Nesterov, Yu. E.; Todd, M. J.
2002
Zigzag persistence. Zbl 1204.68242
Carlsson, Gunnar; de Silva, Vin
2010
Quantitative robust uncertainty principles and optimally sparse decompositions. Zbl 1102.94020
Candès, Emmanuel J.; Romberg, Justin
2006
Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166
Bou-Rabee, Nawaf; Marsden, Jerrold E.
2009
Solving quadratic equations via phaselift when there are about as many equations as unknowns. Zbl 1312.90054
Candès, Emmanuel J.; Li, Xiaodong
2014
Exact support recovery for sparse spikes deconvolution. Zbl 1327.65104
Duval, Vincent; Peyré, Gabriel
2015
The serendipity family of finite elements. Zbl 1218.65125
Arnold, Douglas N.; Awanou, Gerard
2011
Exact computation of joint spectral characteristics of linear operators. Zbl 1273.65054
2013
Infinite-dimensional quadrature and approximation of distributions. Zbl 1177.65011
Creutzig, Jakob; Dereich, Steffen; Müller-Gronbach, Thomas; Ritter, Klaus
2009
Exponentials reproducing subdivision schemes. Zbl 1095.41001
Dyn, Nira; Levin, David; Luzzatto, Ariel
2003
A unifying local convergence result for Newton’s method in Riemannian manifolds. Zbl 1147.58008
Alvarez, F.; Bolte, J.; Munier, J.
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
2016
Geometric inference for probability measures. Zbl 1230.62074
Chazal, Frédéric; Cohen-Steiner, David; Mérigot, Quentin
2011
Analysis of discrete $$L^2$$ projection on polynomial spaces with random evaluations. Zbl 1301.41005
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
2014
Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
2006
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.
2015
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation. Zbl 0984.65101
Zgliczyński, Piotr; Mischaikow, Konstantin
2001
An interpolating distance between optimal transport and Fisher-Rao metrics. Zbl 1385.49031
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
2018
$$C^1$$ Lohner algorithm. Zbl 1049.65038
Zgliczynski, Piotr
2002
Metamorphoses through Lie group action. Zbl 1099.68116
Trouvé, Alain; Younes, Laurent
2005
An algorithmic approach to chain recurrence. Zbl 1099.37010
Kalies, W. D.; Mischaikow, K.; VanderVorst, R. C. A. M.
2005
Lipschitz functions have $$L_{p}$$-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
2010
A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022
Mémoli, Facundo; Sapiro, Guillermo
2005
Symmetric exponential integrators with an application to the cubic Schrödinger equation. Zbl 1147.65102
Celledoni, Elena; Cohen, David; Owren, Brynjulf
2008
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
2007
The $$\mathcal A$$-truncated $$K$$-moment problem. Zbl 1331.65172
Nie, Jiawang
2014
Semidefinite characterization and computation of zero-dimensional real radical ideals. Zbl 1176.14010
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp
2008
A conjecture on exceptional orthogonal polynomials. Zbl 1282.33019
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
2013
Algebraic structures of B-series. Zbl 1201.65124
Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles
2010
Quadratic Newton iteration for systems with multiplicity. Zbl 1030.65050
Lecerf, G.
2002
Online learning algorithms. Zbl 1119.68098
Smale, Steve; Yao, Yuan
2006
The theory of the interleaving distance on multidimensional persistence modules. Zbl 1335.55006
Lesnick, Michael
2015
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
2017
Transversality and alternating projections for nonconvex sets. Zbl 1338.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
2015
Generalized sampling and infinite-dimensional compressed sensing. Zbl 1379.94026
2016
Approximation methods for supervised learning. Zbl 1146.62322
DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir
2006
The existence of Shilnikov homoclinic orbits in the Michelson system: A computer assisted proof. Zbl 1130.37415
Wilczak, Daniel
2006
Combinatorial sublinear-time Fourier algorithms. Zbl 1230.65145
Iwen, M. A.
2010
Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information. Zbl 1056.42002
2002
A variational complex for difference equations. Zbl 1057.39013
Hydon, Peter E.; Mansfield, Elizabeth L.
2004
On post-Lie algebras, Lie-Butcher series and moving frames. Zbl 1327.17001
Munthe-Kaas, Hans Z.; Lundervold, Alexander
2013
A geometric analysis of phase retrieval. Zbl 1401.94049
Sun, Ju; Qu, Qing; Wright, John
2018
The Hopf algebra of rooted trees, free Lie algebras, and Lie series. Zbl 1116.17004
Murua, A.
2006
Convergence of fixed-point continuation algorithms for matrix rank minimization. Zbl 1219.90195
Goldfarb, Donald; Ma, Shiqian
2011
Joint invariant signatures. Zbl 1001.53004
Olver, Peter J.
2001
Complexity of Bezout’s theorem. VI: Geodesics in the condition (number) metric. Zbl 1175.65060
Shub, Michael
2009
Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
2009
Random gradient-free minimization of convex functions. Zbl 1380.90220
2017
Metrics for generalized persistence modules. Zbl 1345.55006
Bubenik, Peter; de Silva, Vin; Scott, Jonathan
2015
On tensor completion via nuclear norm minimization. Zbl 1378.90066
Yuan, Ming; Zhang, Cun-Hui
2016
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
2018
Fast linear homotopy to find approximate zeros of polynomial systems. Zbl 1232.65075
Beltrán, Carlos; Pardo, Luis Miguel
2011
Rigorous numerics for dissipative partial differential equations. II: Periodic orbit for the Kuramoto-Sivashinsky PDE – a computer-assisted proof. Zbl 1066.65105
Zgliczyński, Piotr
2004
On the numerical stability of Fourier extensions. Zbl 1298.65198
Adcock, Ben; Huybrechs, Daan; Martín-Vaquero, Jesús
2014
The computational complexity of the Chow form. Zbl 1058.14075
Jeronimo, Gabriela; Krick, Teresa; Sabia, Juan; Sombra, Martín
2004
Tractability of approximation for weighted Korobov spaces on classical and quantum computers. Zbl 1072.81014
Novak, Erich; Sloan, Ian H.; Woźniakowski, Henryk
2004
Splitting integrators for nonlinear Schrödinger equations over long times. Zbl 1189.65301
Gauckler, Ludwig; Lubich, Christian
2010
Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. Zbl 1357.65153
Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André
2016
The hardness of polynomial equation solving. Zbl 1049.68070
Castro, D.; Giusti, M.; Heintz, J.; Matera, G.; Pardo, Luis M.
2003
Numerical solution of Riemann-Hilbert problems: Painlevé II. Zbl 1214.30026
Olver, Sheehan
2011
Typical real ranks of binary forms. Zbl 1330.14096
Blekherman, Grigoriy
2015
A semidefinite approach for truncated $$K$$-moment problems. Zbl 1259.44005
Helton, J. William; Nie, Jiawang
2012
Higher-order averaging, formal series and numerical integration. I: B-series. Zbl 1211.34052
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
2010
On local convergence of the method of alternating projections. Zbl 1339.65079
Noll, Dominikus; Rondepierre, Aude
2016
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta
2014
A Riemannian view on shape optimization. Zbl 1296.49037
Schulz, Volker H.
2014
Adaptive near-optimal rank tensor approximation for high-dimensional operator equations. Zbl 1335.65049
Bachmayr, Markus; Dahmen, Wolfgang
2015
Gromov-Wasserstein distances and the metric approach to object matching. Zbl 1244.68078
Mémoli, Facundo
2011
A Magnus- and Fer-type formula in dendriform algebras. Zbl 1173.17002
Ebrahimi-Fard, Kurusch; Manchon, Dominique
2009
Random sampling of sparse trigonometric polynomials. II: Orthogonal matching pursuit versus basis pursuit. Zbl 1165.94314
Kunis, Stefan; Rauhut, Holger
2008
Nonlinear Schrödinger equations and their spectral semi-discretizations over long times. Zbl 1194.37121
Gauckler, Ludwig; Lubich, Christian
2010
Isosingular sets and deflation. Zbl 1276.65029
Hauenstein, Jonathan D.; Wampler, Charles W.
2013
Rigorous computer-assisted application of KAM theory: a modern approach. Zbl 1383.37047
Figueras, J.-Ll.; Haro, A.; Luque, A.
2017
On location and approximation of clusters of zeros of analytic functions. Zbl 1109.65046
Giusti, M.; Lecerf, G.; Salvy, B.; Yakoubsohn, J.-C.
2005
Weak convergence rates for Euler-type approximations of semilinear stochastic evolution equations with nonlinear diffusion coefficients. Zbl 07356509
Jentzen, Arnulf; Kurniawan, Ryan
2021
Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Zbl 07371332
Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina
2021
Towards massively parallel computations in algebraic geometry. Zbl 07371333
Böhm, Janko; Decker, Wolfram; Frühbis-Krüger, Anne; Pfreundt, Franz-Josef; Rahn, Mirko; Ristau, Lukas
2021
Perturbations of Christoffel-Darboux kernels: detection of outliers. Zbl 07326847
Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos
2021
Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085
Melenk, Jens M.; Sauter, Stefan A.
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
2021
A neural network-based policy iteration algorithm with global $$H^2$$-superlinear convergence for stochastic games on domains. Zbl 07356507
Ito, Kazufumi; Reisinger, Christoph; Zhang, Yufei
2021
Topological properties of the set of functions generated by neural networks of fixed size. Zbl 07356508
Petersen, Philipp; Raslan, Mones; Voigtlaender, Felix
2021
Noncommutative polynomials describing convex sets. Zbl 07356511
Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
2021
Stochastic subgradient method converges on tame functions. Zbl 1433.65141
Davis, Damek; Drusvyatskiy, Dmitriy; Kakade, Sham; Lee, Jason D.
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
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
2020
A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations. Zbl 07161200
Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles
2020
Convergence analysis of deterministic kernel-based quadrature rules in misspecified settings. Zbl 07161204
Kanagawa, Motonobu; Sriperumbudur, Bharath K.; Fukumizu, Kenji
2020
On the sample complexity of the linear quadratic regulator. Zbl 1447.49052
Dean, Sarah; Mania, Horia; Matni, Nikolai; Recht, Benjamin; Tu, Stephen
2020
Operator scaling: theory and applications. Zbl 1432.68617
Garg, Ankit; Gurvits, Leonid; Oliveira, Rafael; Wigderson, Avi
2020
Computing tropical varieties over fields with valuation. Zbl 1445.14085
Markwig, Thomas; Ren, Yue
2020
Local cohomology and stratification. Zbl 1439.55005
Nanda, Vidit
2020
Certifying global optimality of graph cuts via semidefinite relaxation: a performance guarantee for spectral clustering. Zbl 1445.90109
Ling, Shuyang; Strohmer, Thomas
2020
Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs. Zbl 1454.65160
2020
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.
2020
Multisymplecticity of hybridizable discontinuous Galerkin methods. Zbl 07161201
Mclachlan, Robert I.; Stern, Ari
2020
Computing the homology of semialgebraic sets. I: Lax formulas. Zbl 1440.14264
Bürgisser, Peter; Cucker, Felipe; Tonelli-Cueto, Josué
2020
Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions. Zbl 1447.65050
Feireisl, Eduard; Lukáčová-Medvid&rsquo;ová, Mária; Mizerová, Hana
2020
The real polynomial eigenvalue problem is well conditioned on the average. Zbl 07184254
Beltrán, Carlos; Kozhasov, Khazhgali
2020
Are two given maps homotopic? An algorithmic viewpoint. Zbl 1436.55020
Filakovský, M.; Vokřínek, L.
2020
Geometry of matrix polynomial spaces. Zbl 1444.15007
Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo; Van Dooren, Paul
2020
Projective geometry of Wachspress coordinates. Zbl 1451.14131
2020
Computing the interleaving distance is NP-hard. Zbl 1460.55006
Bjerkevik, Håvard Bakke; Botnan, Magnus Bakke; Kerber, Michael
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
2020
Effective models and numerical homogenization for wave propagation in heterogeneous media on arbitrary timescales. Zbl 1456.35015
Abdulle, Assyr; Pouchon, Timothée
2020
On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings. Zbl 07290668
Bauschke, Heinz H.; Moursi, Walaa M.
2020
Stable phase retrieval in infinite dimensions. Zbl 1440.94010
Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Yin, Rujie
2019
Stable extrapolation of analytic functions. Zbl 1410.41001
Demanet, Laurent; Townsend, Alex
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
2019
Efficient methods for the estimation of homogenized coefficients. Zbl 1411.82021
Mourrat, J.-C.
2019
Fundamental limits of weak recovery with applications to phase retrieval. Zbl 1464.62296
Mondelli, Marco; Montanari, Andrea
2019
Random bit quadrature and approximation of distributions on Hilbert spaces. Zbl 1432.60044
Giles, Michael B.; Hefter, Mario; Mayer, Lukas; Ritter, Klaus
2019
Improved complexity bounds for counting points on hyperelliptic curves. Zbl 07063480
Abelard, Simon; Gaudry, Pierrick; Spaenlehauer, Pierre-Jean
2019
The geometry of gaussoids. Zbl 1453.13076
Boege, Tobias; D&rsquo;Alì, Alessio; Kahle, Thomas; Sturmfels, Bernd
2019
Tropical coordinates on the space of persistence barcodes. Zbl 1423.55007
Kališnik, Sara
2019
Mean estimation and regression under heavy-tailed distributions: A survey. Zbl 1431.62123
Lugosi, Gábor; Mendelson, Shahar
2019
On polynomial time methods for exact low-rank tensor completion. Zbl 1436.15031
Xia, Dong; Yuan, Ming
2019
A geometric framework for stochastic shape analysis. Zbl 1422.60089
Arnaudon, Alexis; Holm, Darryl D.; Sommer, Stefan
2019
Correction to: “On the stability and accuracy of least squares approximations”. Zbl 1407.93436
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
2019
Orthogonal systems with a skew-symmetric differentiation matrix. Zbl 1428.42048
Iserles, Arieh; Webb, Marcus
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
2019
Solving equations of random convex functions via anchored regression. Zbl 1422.62235
Bahmani, Sohail; Romberg, Justin
2019
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
2019
On the Dirac-Frenkel variational principle on tensor Banach spaces. Zbl 1427.46013
Falcó, Antonio; Hackbusch, Wolfgang; Nouy, Anthony
2019
Complexity classes and completeness in algebraic geometry. Zbl 1422.14065
Umut Isik, M.
2019
Semidefinite approximations of the matrix logarithm. Zbl 1411.90254
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
2019
Unified convergence analysis of numerical schemes for a miscible displacement problem. Zbl 1411.65109
Droniou, Jérôme; Eymard, Robert; Prignet, Alain; Talbot, Kyle S.
2019
Variational discretizations of gauge field theories using group-equivariant interpolation. Zbl 1437.37110
Leok, Melvin
2019
Interpolation, the rudimentary geometry of spaces of Lipschitz functions, and geometric complexity. Zbl 1447.57036
Weinberger, Shmuel
2019
Lower bounds on matrix factorization ranks via noncommutative polynomial optimization. Zbl 07118503
Gribling, Sander; de Laat, David; Laurent, Monique
2019
Rational invariants of even ternary forms under the orthogonal group. Zbl 1439.13019
Görlach, Paul; Hubert, Evelyne; Papadopoulo, Théo
2019
When is a polynomial ideal binomial after an ambient automorphism? Zbl 1429.13010
Katthän, Lukas; Michałek, Mateusz; Miller, Ezra
2019
Orthogonal structure on a wedge and on the boundary of a square. Zbl 1428.42049
Olver, Sheehan; Xu, Yuan
2019
Complexity of sparse polynomial solving: homotopy on toric varieties and the condition metric. Zbl 1408.65032
Malajovich, Gregorio
2019
A polynomial rate of asymptotic regularity for compositions of projections in Hilbert space. Zbl 07027311
Kohlenbach, Ulrich
2019
An interpolating distance between optimal transport and Fisher-Rao metrics. Zbl 1385.49031
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
2018
A geometric analysis of phase retrieval. Zbl 1401.94049
Sun, Ju; Qu, Qing; Wright, John
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
2018
Optimal rates for regularization of statistical inverse learning problems. Zbl 1412.62042
Blanchard, Gilles; Mücke, Nicole
2018
On a generalization of the preconditioned Crank-Nicolson metropolis algorithm. Zbl 1391.60169
Rudolf, Daniel; Sprungk, Björn
2018
Random Laplacian matrices and convex relaxations. Zbl 1386.15065
Bandeira, Afonso S.
2018
Discrete ABP estimate and convergence rates for linear elliptic equations in non-divergence form. Zbl 1397.65286
Nochetto, Ricardo H.; Zhang, Wujun
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&rsquo;ová, Mária
2018
Low regularity exponential-type integrators for semilinear Schrödinger equations. Zbl 1402.65098
Ostermann, Alexander; Schratz, Katharina
2018
Infinite-dimensional compressed sensing and function interpolation. Zbl 1396.41001
2018
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.
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
2018
Discrete moving frames on lattice varieties and lattice-based multispaces. Zbl 1390.14101
Marí Beffa, Gloria; Mansfield, Elizabeth L.
2018
Polynomial-exponential decomposition from moments. Zbl 1427.14119
Mourrain, Bernard
2018
Delaunay triangulation of manifolds. Zbl 1395.57032
Boissonnat, Jean-Daniel; Dyer, Ramsay; Ghosh, Arijit
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
2018
The differential counting polynomial. Zbl 1386.12007
Lange-Hegermann, Markus
2018
Fast structured matrix computations: tensor rank and Cohn-Umans method. Zbl 1454.65030
Ye, Ke; Lim, Lek-Heng
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.
2018
Numerical computation of Galois groups. Zbl 1442.14186
Hauenstein, Jonathan D.; Rodriguez, Jose Israel; Sottile, Frank
2018
Metamorphoses of functional shapes in Sobolev spaces. Zbl 1403.49021
Charon, N.; Charlier, B.; Trouvé, A.
2018
An approximate nerve theorem. Zbl 1400.55003
Govc, Dejan; Skraba, Primoz
2018
Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058
Lenstra, H. W. jun.; Silverberg, A.
2018
Optimal order quadrature error bounds for infinite-dimensional higher-order digital sequences. Zbl 1393.41010
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito
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
2018
A Lagrangian scheme à la Brenier for the incompressible Euler equations. Zbl 1410.35103
Gallouët, Thomas O.; Mérigot, Quentin
2018
Distortion varieties. Zbl 1408.14191
Kileel, Joe; Kukelova, Zuzana; Pajdla, Tomas; Sturmfels, Bernd
2018
Almost every real quadratic polynomial has a poly-time computable Julia set. Zbl 1441.03032
Dudko, Artem; Yampolsky, Michael
2018
The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions. Zbl 1388.41019
2018
Computing explicit isomorphisms with full matrix algebras over $$\mathbb {F}_q(x)$$. Zbl 1391.16032
Ivanyos, Gábor; Kutas, Péter; Rónyai, Lajos
2018
Kempe’s universality theorem for rational space curves. Zbl 1430.70006
Li, Zijia; Schicho, Josef; Schröcker, Hans-Peter
2018
Interpolation on symmetric spaces via the generalized polar decomposition. Zbl 1398.41001
Gawlik, Evan S.; Leok, Melvin
2018
Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010
Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar
2018
Computing the homology of real projective sets. Zbl 07031361
Cucker, Felipe; Krick, Teresa; Shub, Michael
2018
Structure and stability of the one-dimensional Mapper. Zbl 1412.55017
Carrière, Mathieu; Oudot, Steve
2018
On numerical Landau damping for splitting methods applied to the Vlasov-HMF model. Zbl 1388.35193
Faou, Erwan; Horsin, Romain; Rousset, Frédéric
2018
Encoding algebraic power series. Zbl 1406.13032
Alonso, M. E.; Castro-Jiménez, F. J.; Hauser, Herwig
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.
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
2017
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#### Cited by 7,463 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 Wen, Zaiwen 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 ...and 7,363 more Authors
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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 110 SIAM Journal on Scientific Computing 109 Journal of Computational and Applied Mathematics 103 Mathematical Programming. Series A. Series B 98 SIAM Journal on Optimization 95 Journal of Computational Physics 89 Journal of Scientific Computing 86 Journal of Symbolic Computation 78 The Annals of Statistics 78 Applied Mathematics and Computation 77 Journal of Approximation Theory 77 Advances in Computational Mathematics 61 Journal of Machine Learning Research (JMLR) 60 Computers & Mathematics with Applications 60 Numerical Algorithms 59 Journal of Optimization Theory and Applications 59 Computational Optimization and Applications 57 SIAM Journal on Imaging Sciences 56 Journal of Mathematical Analysis and Applications 51 Discrete & Computational Geometry 49 Applied Numerical Mathematics 48 SIAM Journal on Matrix Analysis and Applications 47 Constructive Approximation 47 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 45 The Journal of Fourier Analysis and Applications 42 Inverse Problems 42 Journal of Mathematical Imaging and Vision 42 Electronic Journal of Statistics 41 Computer Methods in Applied Mechanics and Engineering 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 31 Science China. Mathematics 30 Journal of Differential Equations 29 Journal of Global Optimization 28 International Journal of Wavelets, Multiresolution and Information Processing 27 Discrete and Continuous Dynamical Systems 26 Nonlinearity 26 Physica D 25 Bernoulli 25 Journal of Applied and Computational Topology 24 Theoretical Computer Science 23 Calcolo 23 Journal of Algebra 23 Neural Computation 22 Abstract and Applied Analysis 21 Linear and Multilinear Algebra 21 Journal of Pure and Applied Algebra 21 Acta Applicandae Mathematicae 21 Machine Learning 20 Journal of Computational Dynamics 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 18 Optimization Methods & Software 17 Journal of Geometry and Physics 17 Automatica 17 Proceedings of the American Mathematical Society 17 Japan Journal of Industrial and Applied Mathematics 17 Inverse Problems and Imaging 16 SIAM Journal on Control and Optimization 16 Neural Networks 16 SIAM Review 16 International Journal of Computer Vision 16 Discrete and Continuous Dynamical Systems. Series B 15 Advances in Applied Mathematics 15 Optimization Letters 14 Information Sciences 14 Optimization 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Vietnam Journal of Mathematics ...and 476 more Journals
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#### Cited in 62 Fields

 2,640 Numerical analysis (65-XX) 959 Computer science (68-XX) 914 Operations research, mathematical programming (90-XX) 860 Partial differential equations (35-XX) 711 Statistics (62-XX) 598 Linear and multilinear algebra; matrix theory (15-XX) 479 Information and communication theory, circuits (94-XX) 467 Approximations and expansions (41-XX) 444 Algebraic geometry (14-XX) 433 Probability theory and stochastic processes (60-XX) 428 Dynamical systems and ergodic theory (37-XX) 376 Calculus of variations and optimal control; optimization (49-XX) 316 Ordinary differential equations (34-XX) 299 Harmonic analysis on Euclidean spaces (42-XX) 223 Operator theory (47-XX) 215 Functional analysis (46-XX) 189 Algebraic topology (55-XX) 179 Commutative algebra (13-XX) 170 Fluid mechanics (76-XX) 162 Global analysis, analysis on manifolds (58-XX) 161 Biology and other natural sciences (92-XX) 160 Differential geometry (53-XX) 156 Combinatorics (05-XX) 151 Convex and discrete geometry (52-XX) 124 Quantum theory (81-XX) 122 Number theory (11-XX) 120 Systems theory; control (93-XX) 117 Mechanics of particles and systems (70-XX) 83 Field theory and polynomials (12-XX) 82 Mechanics of deformable solids (74-XX) 81 Manifolds and cell complexes (57-XX) 79 Real functions (26-XX) 74 Functions of a complex variable (30-XX) 70 Special functions (33-XX) 70 Statistical mechanics, structure of matter (82-XX) 68 Optics, electromagnetic theory (78-XX) 67 Associative rings and algebras (16-XX) 57 Nonassociative rings and algebras (17-XX) 52 Difference and functional equations (39-XX) 49 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Mathematical logic and foundations (03-XX) 38 Topological groups, Lie groups (22-XX) 36 Geometry (51-XX) 35 Group theory and generalizations (20-XX) 33 Measure and integration (28-XX) 33 Several complex variables and analytic spaces (32-XX) 30 Integral transforms, operational calculus (44-XX) 30 Integral equations (45-XX) 29 Category theory; homological algebra (18-XX) 29 General topology (54-XX) 24 Potential theory (31-XX) 24 Geophysics (86-XX) 16 General and overarching topics; collections (00-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 16 Classical thermodynamics, heat transfer (80-XX) 14 History and biography (01-XX) 12 Abstract harmonic analysis (43-XX) 4 General algebraic systems (08-XX) 4 Relativity and gravitational theory (83-XX) 3 Sequences, series, summability (40-XX) 1 $$K$$-theory (19-XX) 1 Astronomy and astrophysics (85-XX)