ETNA. Electronic Transactions on Numerical Analysis Short Title: ETNA, Electron. Trans. Numer. Anal. Publisher: Kent State University, Department of Mathematics and Computer Science, Kent ISSN: 1068-9613/e Online: http://etna.mcs.kent.edu/http://www.emis.de/journals/ETNA/ Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (1993). This journal is available open access. Documents Indexed: 994 Publications (since 1993) References Indexed: 250 Publications with 8,394 References. all top 5 Latest Issues 59 (2023) 58 (2023) 57 (2022) 56 (2022) 55 (2022) 54 (2021) 53 (2020) 52 (2020) 51 (2019) 50 (2018) 49 (2018) 48 (2018) 47 (2017) 46 (2017) 45 (2016) 44 (2015) 43 (2014/2015) 42 (2014) 41 (2014) 40 (2013) 39 (2012) 38 (2011) 37 (2010) 36 (2009/2010) 35 (2009) 34 (2009) 33 (2009) 34 (2008) 33 (2008) 32 (2008) 31 (2008) 30 (2008) 29 (2008) 28 (2008) 29 (2007) 28 (2007) 27 (2007) 26 (2007) 25 (2006) 24 (2006) 23 (2006) 22 (2006) 21 (2005) 20 (2005) 19 (2005) 18 (2004) 17 (2004) 16 (2003) 15 (2003) 14 (2002) 13 (2002) 12 (2001) 11 (2000) 10 (2000) 9 (1999) 8 (1999) 7 (1998) 6 (1997) 5 (1997) 4 (1996) 3 (1995) 2 (1994) 1 (1993) all top 5 Authors 18 Mehrmann, Volker 17 Reichel, Lothar 13 Benner, Peter 13 Vandebril, Raf 12 Klawonn, Axel 12 Szyld, Daniel B. 11 Serra-Capizzano, Stefano 11 Varga, Richard Steven 10 Brenner, Susanne Cecelia 10 Ramlau, Ronny 9 Sadok, Hassane 9 Van Barel, Marc 8 Atkinson, Kendall Eugene 8 Frommer, Andreas 8 Jbilou, Khalide 8 Kindermann, Stefan 8 Marcellán Español, Francisco 8 Sadkane, Miloud 8 Watkins, David S. 7 Gander, Martin Jakob 7 Spalević, Miodrag M. 7 Tichý, Petr 7 Voss, Heinrich 6 Benzi, Michele 6 Calvetti, Daniela 6 Donatelli, Marco 6 Kahl, Karsten 6 Liesen, Jörg 6 Meurant, Gérard A. 6 O’Leary, Dianne P. 6 Opfer, Gerhard 6 Rheinbach, Oliver 6 Saad, Yousef 5 Álvarez-Nodarse, Renato 5 Bentbib, Abdeslem Hafid 5 Chen, Ke 5 Faßbender, Heike 5 Gautschi, Walter 5 Hansen, Per Christian 5 Hofmann, Bernd 5 Janovská, Drahoslava 5 Kanda, Hidesada 5 López, José Luis 5 Mach, Thomas 5 Manteuffel, Thomas A. 5 Marcinkowski, Leszek 5 Mastronardi, Nicola 5 Milovanović, Gradimir V. 5 Mitrouli, Marilena 5 Nabben, Reinhard 5 Nagy, James Gerard 5 Potts, Daniel 5 Stoll, Martin 5 Tu, Xuemin 5 Xu, Hongguo 4 Arioli, Mario 4 Asharabi, Rashad M. 4 Bardsley, Johnathan M. 4 Bini, Dario Andrea 4 Bolten, Matthias 4 Brandt, Achi E. 4 Cai, Xiao-Chuan 4 Heinlein, Alexander 4 Hochbruck, Marlis 4 Hochstenbach, Michiel E. 4 Huckle, Thomas Kilian 4 Lang, Bruno 4 Lanser, Martin 4 Martínez-Finkelshtein, Andrei 4 Mokhtary, Payam 4 Notay, Yvan 4 Orive Rodríguez, Ramón Angel 4 Pejčev, Aleksandar V. 4 Sarkis, Marcus V. 4 Soodhalter, Kirk M. 3 Arvesú, Jorge 3 Aurentz, Jared Lee 3 Baglama, James 3 Baratchart, Laurent 3 Barbarino, Giovanni 3 Bebiano, Natália Isabel Quadros 3 Bochev, Pavel B. 3 Bru, Rafael 3 Buccini, Alessandro 3 Bultheel, Adhemar François 3 Chien, David 3 Dobrowolski, Manfred 3 Dolean, Victorita 3 Eidelman, Yuli 3 Erhel, Jocelyne 3 Fermo, Luisa 3 Ferreira, Chelo 3 Fika, Paraskevi 3 Garoni, Carlo 3 Gazzola, Silvia 3 Gemignani, Luca 3 Greif, Chen 3 Gutknecht, Martin H. 3 Güttel, Stefan 3 Haase, Gundolf ...and 1,296 more Authors all top 5 Fields 829 Numerical analysis (65-XX) 177 Partial differential equations (35-XX) 156 Linear and multilinear algebra; matrix theory (15-XX) 105 Approximations and expansions (41-XX) 69 Special functions (33-XX) 65 Fluid mechanics (76-XX) 57 Harmonic analysis on Euclidean spaces (42-XX) 50 Functions of a complex variable (30-XX) 44 Operator theory (47-XX) 36 Ordinary differential equations (34-XX) 34 Integral equations (45-XX) 33 Computer science (68-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 28 Probability theory and stochastic processes (60-XX) 28 Operations research, mathematical programming (90-XX) 26 Mechanics of deformable solids (74-XX) 22 Information and communication theory, circuits (94-XX) 21 Systems theory; control (93-XX) 18 Combinatorics (05-XX) 17 General and overarching topics; collections (00-XX) 15 Biology and other natural sciences (92-XX) 14 Number theory (11-XX) 14 Real functions (26-XX) 13 Potential theory (31-XX) 13 Optics, electromagnetic theory (78-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Quantum theory (81-XX) 7 Functional analysis (46-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 6 Field theory and polynomials (12-XX) 6 Measure and integration (28-XX) 6 Difference and functional equations (39-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistics (62-XX) 3 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Sequences, series, summability (40-XX) 3 Astronomy and astrophysics (85-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 792 Publications have been cited 6,910 times in 5,667 Documents Cited by ▼ Year ▼ An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071Diethelm, Kai 231 1997 BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum. Zbl 0820.65016Sleijpen, Gerard L. G.; Fokkema, Diederik R. 129 1993 An aggregation-based algebraic multigrid method. Zbl 1206.65133Notay, Yvan 120 2010 Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations. Zbl 1170.76024Galvis, Juan; Sarkis, Marcus 92 2007 Efficient preconditioning for sequences of parametric complex symmetric linear systems. Zbl 1066.65048Bertaccini, Daniele 86 2004 Schwarz methods over the course of time. Zbl 1171.65020Gander, Martin J. 86 2008 On fast factorization pivoting methods for sparse symmetric indefinite systems. Zbl 1112.65022Schenk, Olaf; Gärtner, Klaus 79 2006 Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems. Zbl 1287.65043Kindermann, Stefan 77 2011 Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation. Zbl 0980.65108Chen, Jing-Bo; Qin, Meng-Zhao 75 2001 Asymptotic lower bounds for eigenvalues by nonconforming finite element methods. Zbl 1065.65127Armentano, María G.; Durán, Ricardo G. 58 2004 On Krylov projection methods and Tikhonov regularization. Zbl 1312.65065Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria 56 2015 A block version of BiCGSTAB for linear systems with multiple right-hand sides. Zbl 1065.65052el Guennouni, A.; Jbilou, K.; Sadok, H. 51 2003 A weighted-GCV method for Lanczos-hybrid regularization. Zbl 1171.65029Chung, Julianne; Nagy, James G.; O’Leary, Dianne P. 49 2008 An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030Calvetti, D.; Reichel, L.; Sorensen, Danny C. 49 1994 An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation. Zbl 1171.65035Heyouni, M.; Jbilou, K. 48 2009 Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065Wathen, Andy; Rees, Tyrone 46 2009 Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034Benzi, Michele; Razouk, Nader 46 2007 A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng 45 2008 A new Geršgorin-type eigenvalue inclusion set. Zbl 1069.15016Cvetkovic, Ljiljana; Kostic, Vladimir; Varga, Richard S. 44 2004 Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. Zbl 1177.34047Akin-Bohner, Elvan; Bohner, Martin; Saker, Samir H. 44 2007 Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092Schmelzer, Thomas; Trefethen, Lloyd N. 44 2007 Wave-ray multigrid method for standing wave equations. Zbl 0891.65127Brandt, A.; Livshits, I. 44 1997 Polynomial eigenvalue problems with Hamiltonian structure. Zbl 1065.65054Mehrmann, Volker; Watkins, David 42 2002 Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 1186.65134Klein, Christian 42 2008 Oblique projection methods for linear systems with multiple right-hand sides. Zbl 1121.65313Jbilou, K.; Sadok, H.; Tinzefte, A. 42 2005 Continuous \(\Theta\)-methods for the stochastic pantograph equation. Zbl 0968.65004Baker, Christopher T. H.; Buckwar, Evelyn 42 2000 Parameter-robust stability of classical three-field formulation of Biot’s consolidation model. Zbl 1398.65046Hong, Qingguo; Kraus, Johannes 41 2018 A unified framework for adaptive BDDC. Zbl 1368.65043Pechstein, Clemens; Dohrmann, Clark R. 39 2017 Fast Leja points. Zbl 0912.65004Baglama, J.; Calvetti, D.; Reichel, L. 38 1998 Orthogonality of Jacobi polynomials with general parameters. Zbl 1075.33005Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R. 37 2005 Preconditioning eigensolvers – an Oxymoron? Zbl 1053.65513Knyazev, Andrew V. 36 1998 General highly accurate algebraic coarsening. Zbl 0951.65096Brandt, Achi 35 2000 Low-rank solvers for fractional differential equations. Zbl 1338.65071Breiten, Tobias; Simoncini, Valeria; Stoll, Martin 35 2016 Simple square smoothing regularization operators. Zbl 1171.65033Reichel, Lothar; Ye, Qiang 34 2009 On error estimation in the conjugate gradient method and why it works in finite precision computations. Zbl 1026.65027Strakoš, Zdeněk; Tichý, Petr 34 2002 On multigrid for linear complementarity problems with application to American-style options. Zbl 1031.65072Oosterlee, C. W. 34 2003 Analysis of the finite element method for transmission/mixed boundary value problems on general polygonal domains. Zbl 1205.65317Li, Hengguang; Mazzucato, Anna; Nistor, Victor 34 2010 Fractal trigonometric approximation. Zbl 1091.42001Navascues, M. A. 34 2005 Parameter estimation for multivariate exponential sums. Zbl 1305.65093Potts, Daniel; Tasche, Manfred 34 2013 Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks. Zbl 1112.65042Greif, Chen; Schötzau, Dominik 33 2006 A partition of the unit sphere into regions of equal area and small diameter. Zbl 1160.51304Leopardi, Paul 33 2006 A two-level discretization method for the stationary MHD equations. Zbl 0898.76059Layton, W. J.; Meir, A. J.; Schmidt, P. G. 33 1997 The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049Gautschi, Walter 32 2002 Alternative orthogonal polynomials and quadratures. Zbl 1107.33006Chelyshkov, Vladimir S. 32 2006 An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295Calvo, Juan G.; Widlund, Olof B. 32 2016 Efficient solution of symmetric eigenvalue problems using multigrid preconditioners in the locally optimal block conjugate gradient method. Zbl 1031.65126Knyazev, Andrew V.; Neymeyr, Klaus 31 2003 A comparison of adaptive coarse spaces for iterative substructuring in two dimensions. Zbl 1338.65084Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver 31 2016 On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian. Zbl 1190.65050Erlangga, Yogi A.; Nabben, Reinhard 30 2008 Krylov subspace acceleration for nonlinear multigrid schemes. Zbl 0903.65096Washio, T.; Oosterlee, C. W. 30 1997 \(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041Calvetti, D.; Hansen, P. C.; Reichel, L. 29 2002 A survey and comparison of contemporary algorithms for computing the matrix geometric mean. Zbl 1287.65036Jeuris, Ben; Vandebril, Raf; Vandereycken, Bart 29 2012 Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations. Zbl 1312.65068Benner, Peter; Kürschner, Patrick; Saak, Jens 28 2014 Gauss-Kronrod quadrature formulae. A survey of fifty years of research. Zbl 1355.65045Notaris, Sotirios E. 28 2016 An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Zbl 1330.65130Ford, N. J.; Morgado, M. L.; Rebelo, M. 28 2015 Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031Pearson, John W.; Wathen, Andrew J. 28 2013 Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems. Zbl 1355.65128Gander, Martin J.; Kwok, Felix; Mandal, Bankim C. 27 2016 Robust rational interpolation and least-squares. Zbl 1293.65017Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N. 27 2011 Proof of a conjecture of Chan, Robbins, and Yuen. Zbl 0941.05006Zeilberger, Doron 26 1999 Cross-Gramian based model reduction for data-sparse systems. Zbl 1170.93315Baur, Ulrike; Benner, Peter 26 2008 Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. Zbl 1171.65074Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz 26 2008 Parallel, synchronous and asynchronous two-stage multisplitting methods. Zbl 0856.65024Bru, Rafael; Migallón, Violeta; Penadés, José; Szyld, Daniel B. 26 1995 Multigrid method for \(H\text{(div)}\) in three dimensions. Zbl 0897.65046Hiptmair, R. 26 1997 Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems. Zbl 0912.65026Sleijpen, Gerard L. G.; van der Horst, Henk A.; Meijerbrink, Ellen 25 1998 Low-rank iterative methods for projected generalized Lyapunov equations. Zbl 1171.65385Stykel, Tatjana 25 2008 An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions. Zbl 1112.65119Dean, E. J.; Glowinski, R. 25 2006 Block Krylov subspace methods for functions of matrices. Zbl 1372.65138Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B. 25 2017 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539Elman, Howard C.; Tuminaro, Ray S. 24 2009 A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413Haasdonk, B.; Ohlberger, M.; Rozza, G. 24 2008 First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity. Zbl 0856.76010Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F. 24 1995 Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Zbl 0889.65112Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F. 24 1997 A BDDC algorithm for a mixed formulation of flow in porous media. Zbl 1160.76368Tu, Xuemin 23 2005 Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems. Zbl 1288.65093Du, Xiuhong; Sarkis, Marcus; Schaerer, Christian E.; Szyld, Daniel B. 23 2013 On the shifted QR iteration applied to companion matrices. Zbl 1066.65039Bini, Dario A.; Daddi, Francesco; Gemignani, Luca 22 2004 Fine structure of the zeros of orthogonal polynomials. I: A tale of two pictures. Zbl 1129.42011Simon, Barry 22 2006 Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian 22 2010 Implicit for local effects and explicit for nonlocal effects is unconditionally stable. Zbl 1085.76046Anitescu, Mihai; Pahlevani, Faranak; Layton, William J. 22 2004 Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case. Zbl 1434.65032Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 22 2020 Cholesky-like factorizations of skew-symmetric matrices. Zbl 0963.65033Benner, Peter; Byers, Ralph; Fassbender, Heike; Mehrmann, Volker; Watkins, David 21 2000 Comparison between different numerical discretizations for a Darcy-Forchheimer model. Zbl 1185.35193López, Hilda; Molina, Brígida; Salas, José J. 21 2009 An augmented mixed finite element method for linear elasticity with non-homogeneous Dirichlet conditions. Zbl 1170.74049Gatica, Gabriel N. 21 2007 A structured staircase algorithm for skew-symmetric/symmetric pencils. Zbl 1113.65065Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 21 2007 Fast solution of boundary integral equations with the generalized Neumann kernel. Zbl 1330.65185Nasser, Mohamed M. S. 21 2015 Cross-points in domain decomposition methods with a finite element discretization. Zbl 1347.65187Gander, Martin J.; Santugini, Kévin 21 2016 Multigrid preconditioning and Toeplitz matrices. Zbl 1065.65063Huckle, Thomas; Staudacher, Jochen 20 2002 Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method. Zbl 0912.65027Stathopoulos, Andreas; Saad, Yousef 20 1998 A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids. Zbl 1312.65135Gowrisankar, S.; Natesan, Srinivasan 20 2014 A posteriori error estimation for the Legendre collocation method applied to integral-algebraic Volterra equations. Zbl 1287.65145Pishbin, S.; Ghoreishi, F.; Hadizadeh, M. 20 2011 Algebraic properties of the block GMRES and block Arnoldi methods. Zbl 1188.65031Elbouyahyaoui, L.; Messaoudi, A.; Sadok, H. 19 2009 A BDDC algorithm for flow in porous media with a hybrid finite element discretization. Zbl 1170.76034Tu, Xuemin 19 2007 Stability properties of differential-algebraic equations and Spin-stabilized discretizations. Zbl 1171.65418Kunkel, Peter; Mehrmann, Volker 19 2007 Noise propagation in regularizing iterations for image deblurring. Zbl 1171.65032Hansen, Per Christian; Jensen, Toke Koldborg 19 2008 Parameter-uniform fitted mesh method for singularly perturbed delay differential equations with layer behavior. Zbl 1112.65067Kadalbajoo, M. K.; Sharma, K. K. 19 2006 Analysis of the linearly implicit mid-point rule for differential- algebraic equations. Zbl 0809.65083Schneider, Claus 19 1993 Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains. Zbl 0815.30008Eiermann, Michael; Varga, Richard S. 19 1993 Trigonometric Gaussian quadrature on subintervals of the period. Zbl 1287.65018Da Fies, Gaspare; Vianello, Marco 18 2012 Coercive space-time finite element methods for initial boundary value problems. Zbl 1436.65144Steinbach, Olaf; Zank, Marco 18 2020 A note on parallel preconditioning for all-at-once evolutionary PDEs. Zbl 1422.65232Wathen, Anthony Goddard Andy 18 2019 Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D. Zbl 1448.65263Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver 18 2018 Simpler block GMRES for nonsymmetric systems with multiple right-hand sides. Zbl 1188.65034Liu, Hualei; Zhong, Baojiang 17 2008 Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation. Zbl 1312.65173Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, J. Markus; Praetorius, Dirk 17 2015 Optimal \(W^{1,\infty}\)-estimates for an isoparametric finite element discretization of elliptic boundary value problems. Zbl 1498.65197Dörich, Benjamin; Leibold, Jan; Maier, Bernhard 2 2023 A block Toeplitz preconditioner for all-at-once systems from linear wave equations. Zbl 07693748Hon, Sean; Serra-Capizzano, Stefano 1 2023 Rounding error analysis of linear recurrences using generating series. Zbl 1512.65082Mezzarobba, Marc 1 2023 Improved bisection eigenvalue method for band symmetric Toeplitz matrices. Zbl 07693754Eidelman, Yuli; Haimovici, Iulian 1 2023 Range restricted iterative methods for linear discrete ill-posed problems. Zbl 1512.65069Buccini, Alessandro; Onisk, Lucas; Reichel, Lothar 1 2023 Conditioning of linear systems arising from penalty methods. Zbl 1512.65073Layton, William; Xu, Shuxian 1 2023 Deautoconvolution in the two-dimensional case. Zbl 07693762Deng, Yu; Hofmann, Bernd; Werner, Frank 1 2023 Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. Zbl 1478.65139Bootland, Niall; Dolean, Victorita; Kyriakis, Alexander; Pestana, Jennifer 3 2022 Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks. Zbl 1478.92193Grimm, Viktor; Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine 3 2022 Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator. Zbl 1498.28017Pandey, Kshitij Kumar; Viswanathan, Puthan Veedu 2 2022 Graph Laplacian for image deblurring. Zbl 1487.65203Bianchi, Davide; Buccini, Alessandro; Donatelli, Marco; Randazzo, Emma 2 2022 Operator inference and physics-informed learning of low-dimensional models for incompressible flows. Zbl 1505.76072Benner, Peter; Goyal, Pawan; Heiland, Jan; Duff, Igor Pontes 2 2022 A comparison of reduced-order modeling approaches using artificial neural networks for PDEs with bifurcating solutions. Zbl 1487.65195Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi 2 2022 Structure preservation for the deep neural network multigrid solver. Zbl 1487.65153Margenberg, Nils; Lessig, Christian; Richter, Thomas 2 2022 The LSQR method for solving tensor least-squares problems. Zbl 1477.65067Bentbib, Abdeslem H.; Khouia, Asmaa; Sadok, Hassane 2 2022 Synchronous and asynchronous optimized Schwarz methods for Poisson’s equation in rectangular domains. Zbl 1498.65214Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B. 1 2022 Error estimates for variational regularization of inverse problems with general noise models for data and operator. Zbl 1498.65081Hohage, Thorsten; Werner, Frank 1 2022 Constructing diffeomorphisms between simply connected plane domains. Zbl 1495.65015Atkinson, Kendall; Chien, David; Hansen, Olaf 1 2022 Porting an aggregation-based algebraic multigrid method to GPUs. Zbl 1495.65029Abdeselam, Abdeselam El Haman; Napov, Artem; Notay, Yvan 1 2022 Hierarchical model reduction driven by a proper orthogonal decomposition for parametrized advection-diffusion-reaction problems. Zbl 1487.65184Pasini, Massimiliano Lupo; Perotto, Simona 1 2022 Monte Carlo estimators for the Schatten \(p\)-norm of symmetric positive semidefinite matrices. Zbl 1487.65046Dudley, Ethan; Saibaba, Arvind K.; Alexanderian, Alen 1 2022 On a compensated Ehrlich-Aberth method for the accurate computation of all polynomial roots. Zbl 1487.65052Cameron, Thomas R.; Graillat, Stef 1 2022 A deep learning based nonlinear upscaling method for transport equations. Zbl 1487.65191Yeung, Tak Shing Au; Chung, Eric T.; See, Simon 1 2022 The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator. Zbl 07538268Hofmann, Bernd; Mathé, Peter 1 2022 Decay bounds for Bernstein functions of Hermitian matrices with applications to the fractional graph Laplacian. Zbl 1491.65033Schweitzer, Marcel 1 2022 Structured shifts for skew-symmetric matrices. Zbl 1490.65061Greif, Chen 1 2022 Computation of the nearest structured matrix triplet with common null space. Zbl 1493.37101Guglielmi, Nicola; Mehrmann, Volker 1 2022 Analysis of stability and convergence for L-type formulas combined with a spatial finite element method for solving subdiffusion problems. Zbl 1490.65207Ramezani, Mohadese; Mokhtari, Reza; Haase, Gundolf 1 2022 On the tangential cone condition for electrical impedance tomography. Zbl 07556370Kindermann, Stefan 1 2022 A probabilistic oracle inequality and quantification of uncertainty of a modified discrepancy principle for statistical inverse problems. Zbl 1490.65112Jahn, Tim 1 2022 A survey on variational characterizations for nonlinear eigenvalue problems. Zbl 07436835Lampe, Jörg; Voss, Heinrich 1 2022 Modified filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator. Zbl 1464.65026Majidian, Hassan 5 2021 On the solution of the nonsymmetric T-Riccati equation. Zbl 1459.15015Benner, Peter; Palitta, Davide 4 2021 Volterra integral equations with highly oscillatory kernels: a new numerical method with applications. Zbl 1464.65288Fermo, Luisa; van der Mee, Cornelis 4 2021 Pseudo-linear convergence of an additive Schwarz method for dual total variation minimization. Zbl 1473.65342Park, Jongho 3 2021 Multigrid reduction in time with Richardson extrapolation. Zbl 1473.65158Falgout, R. D.; Manteuffel, T. A.; O’Neill, B.; Schroder, J. B. 2 2021 Additive Schwarz preconditioners for a localized orthogonal decomposition method. Zbl 1473.65337Brenner, Susanne C.; Garay, José C.; Sung, Li-Yeng 2 2021 An augmented wavelet reconstructor for atmospheric tomography. Zbl 1462.85002Ramlau, Ronny; Stadler, Bernadett 2 2021 Analysis of the CCFD method for MC-based image denoising problems. Zbl 1512.94004Fairag, Faisal; Chen, Ke; Ahmad, Shahbaz 2 2021 Conformal moduli of symmetric circular quadrilaterals with cusps. Zbl 1470.65039Hakula, Harri; Nasyrov, Semen; Vuorinen, Matti 2 2021 Symbol-based preconditioning for Riesz distributed-order space-fractional diffusion equations. Zbl 1501.65042Mazza, Mariarosa; Serra-Capizzano, Stefano; Usman, Muhammad 2 2021 A stable matrix version of the fast multipole method: stabilization strategies and examples. Zbl 1475.65026Cai, Difeng; Xia, Jianlin 2 2021 Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems. Zbl 1454.65015Lucero Lorca, José Pablo; Kanschat, Guido 1 2021 New fractional pseudospectral methods with accurate convergence rates for fractional differential equations. Zbl 1459.65124Erfani, Shervan; Babolian, Esmail; Javadi, Shahnam 1 2021 A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers. Zbl 1464.65040Manguoğlu, Murat; Mehrmann, Volker 1 2021 A mixed collocation scheme for solving second kind Fredholm integral equations in \([-1,1]\). Zbl 1470.65216Occorsio, Donatella; Russo, Maria Grazia 1 2021 Coarsening in algebraic multigrid using Gaussian processes. Zbl 07436828Gottschalk, Hanno; Kahl, Karsten 1 2021 On the regularization effect of stochastic gradient descent applied to least-squares. Zbl 1475.65022Steinerberger, Stefan 1 2021 Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case. Zbl 1434.65032Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 22 2020 Coercive space-time finite element methods for initial boundary value problems. Zbl 1436.65144Steinbach, Olaf; Zank, Marco 18 2020 A simplified L-curve method as error estimator. Zbl 1475.65024Kindermann, Stefan; Raik, Kemal 16 2020 Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. Zbl 1434.65033Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 14 2020 Residual whiteness principle for parameter-free image restoration. Zbl 1455.94027Lanza, Alessandro; Pragliola, Monica; Sgallari, Fiorella 10 2020 Shifted and extrapolated power methods for tensor \(\ell^p\)-eigenpairs. Zbl 1433.65049Cipolla, Stefano; Redivo-Zaglia, Michela; Tudisco, Francesco 9 2020 Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. Zbl 07192776Hofmann, Bernd; Plato, Robert 5 2020 A frugal FETI-DP and BDDC coarse space for heterogeneous problems. Zbl 1460.65136Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine 4 2020 Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. Zbl 1446.65146Linke, Alexander; Merdon, Christian; Neilan, Michael 4 2020 A subspace-accelerated split Bregman method for sparse data recovery with joint \(\ell_1\)-type regularizers. Zbl 1451.65074De Simone, Valentina; Di Serafino, Daniela; Viola, Marco 4 2020 Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach. Zbl 1469.65167Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver 4 2020 Analysis of Krylov subspace approximation to large-scale differential Riccati equations. Zbl 1456.65019Antti, Koskela; Mena, Hermann 4 2020 The minimal-norm Gauss-Newton method and some of its regularized variants. Zbl 1448.65030Pes, Federica; Rodriguez, Giuseppe 3 2020 Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Zbl 1443.65204Hochbruck, Marlis; Leibold, Jan 3 2020 A boundary and finite element coupling for a magnetically nonlinear eddy current problem. Zbl 1446.65104Acevedo, Ramiro; Alvarez, Edgardo; Navia, Paulo 3 2020 Chebyshev spectral collocation in space and time for the heat equation. Zbl 1446.65130Lui, S. H.; Nataj, Sarah 3 2020 ADMM-softmax: an ADMM approach for multinomial logistic regression. Zbl 07192774Fung, Samy Wu; Tyrväinen, Sanna; Ruthotto, Lars; Haber, Eldad 3 2020 Analysis of BDDC algorithms for Stokes problems with hybridizable discontinuous Galerkin discretizations. Zbl 1456.65024Tu, Xuemin; Wang, Bin; Zhang, Jinjin 3 2020 On recurrences converging to the wrong limit in finite precision and some new examples. Zbl 1448.65041Rump, Siegfried M. 2 2020 Finite difference schemes for an axisymmetric nonlinear heat equation with blow-up. Zbl 1443.65117Cho, Chien-Hong; Okamoto, Hisashi 2 2020 Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses – survey of recent results. Zbl 1451.65023Djukić, D. Lj.; Djukić, R. M. Mutavdžić; Pejčev, A. V.; Spalević, M. M. 2 2020 Optimized surface parameterizations with applications to Chinese virtual broadcasting. Zbl 1492.65049Yueh, Mei-Heng; Huang, Hsiao-Han; Li, Tiexiang; Lin, Wen-Wei; Yau, Shing-Tung 2 2020 Isogeometric analysis for singularly perturbed problems in 1-D: error estimates. Zbl 1434.65243Christos, Xenophontos; Sykopetritou, Irene 2 2020 A block \(J\)-Lanczos method for Hamiltonian matrices. Zbl 1431.65040Archid, Atika; Bentbib, Abdeslem Hafid; Agoujil, Said 2 2020 Leap-frog method for stochastic functional wave equations. Zbl 1431.60059Leszczyński, Henryk; Matusik, Milena; Wrzosek, Monika 2 2020 Transformed rank-1 lattices for high-dimensional approximation. Zbl 1431.65014Nasdala, Roberts; Potts, Daniel 2 2020 Fractional Hermite interpolation for non-smooth functions. Zbl 07192769Zhai, Jiayin; Zhang, Zhiyue; Wang, Tongke 2 2020 A spectral Newton-Schur algorithm for the solution of symmetric generalized eigenvalue problems. Zbl 1436.65038Kalantzis, Vassilis 2 2020 On pole-swapping algorithms for the eigenvalue problem. Zbl 1456.65025Camps, Daan; Mach, Thomas; Vandebril, Raf; Watkins, David S. 2 2020 Mathematical and numerical analysis of an acid-mediated cancer invasion model with nonlinear diffusion. Zbl 1458.35431Shangerganesh, L.; Manimaran, J. 2 2020 Krylov type methods for linear systems exploiting properties of the quadratic numerical range. Zbl 1459.65041Frommer, Andreas; Jacob, Brigit; Kahl, Kartsen; Wyss, Christian; Zwaan, Ian 1 2020 Approximation of weakly singular integral equations by sinc projection methods. Zbl 1450.65181Nedaiasl, Khadijeh 1 2020 Matrix completion for matrices with low-rank displacement. Zbl 1448.65037Lazzaro, Damiana; Morigi, Serena 1 2020 Substitution algorithms for rational matrix equations. Zbl 1448.65033Fasi, Massimiliano; Iannazzo, Bruno 1 2020 Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. Zbl 1450.33007Gil, A.; Segura, J.; Temme, N. M. 1 2020 Error analysis for regularized multidimensional sampling expansions. Zbl 1458.94182Asharabi, Rashad M.; Al-Abbas, Fatemah M. 1 2020 Cubature formulae for the Gaussian weight. Some old and new rules. Zbl 1483.65042Orive, Ramón; Santos-León, Juan C.; Spalević, Miodrag M. 1 2020 The swallowtail integral in the highly oscillatory region. II. Zbl 1437.33021Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 1 2020 The series expansions and Gauss-Legendre rule for computing arbitrary derivatives of the beta-type functions. Zbl 07192773Li, Junlin; Wang, Tongke; Hao, Yonghong 1 2020 A multigrid frame based method for image deblurring. Zbl 1455.94009Buccini, Alessandro; Donatelli, Marco 1 2020 Addendum to: “On recurrences converging to the wrong limit in finite precision and some new examples”. Zbl 1456.65031Rump, Siegfried M. 1 2020 A note on parallel preconditioning for all-at-once evolutionary PDEs. Zbl 1422.65232Wathen, Anthony Goddard Andy 18 2019 Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh. Zbl 1431.65115Nhan, Thaì Anh; Vulanović, Relja 9 2019 Bouligand-Levenberg-Marquardt iteration for a non-smooth ill-posed inverse problem. Zbl 1431.65078Clason, Christian; Nhu, Vu Huu 8 2019 Bernstein fractal approximation and fractal full Müntz theorems. Zbl 1423.41004Nallapu, Vijender 8 2019 Block-proximal methods with spatially adapted acceleration. Zbl 1420.49034Valkonen, Tuomo 6 2019 Preconditioned gradient iterations for the eigenproblem of definite matrix pairs. Zbl 1431.65046Pandur, Marija Miloloža 5 2019 Topological derivative for the nonlinear magnetostatic problem. Zbl 1425.35051Amstutz, Samuel; Gangl, Peter 5 2019 On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra. Zbl 1431.65052Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 4 2019 Biorthogonal rational Krylov subspace methods. Zbl 1433.65058van Buggenhout, Niel; van Barel, Marc; Vandebril, Raf 4 2019 A randomized multivariate matrix pencil method for superresolution microscopy. Zbl 1436.65219Ehler, Martin; Kunis, Stefan; Peter, Thomas; Richter, Christian 4 2019 Augmented GMRES-type versus CGNE methods for the solution of linear ill-posed problems. Zbl 1437.65049Neubauer, Andreas 3 2019 ...and 692 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,953 Authors 147 Reichel, Lothar 52 Gander, Martin Jakob 44 Benner, Peter 41 Jbilou, Khalide 40 Gatica, Gabriel N. 32 Serra-Capizzano, Stefano 29 Huang, Ting-Zhu 28 Simoncini, Valeria 27 Mehrmann, Volker 26 Van Barel, Marc 25 Ford, Neville J. 24 Klawonn, Axel 23 Marcellán Español, Francisco 23 Vandebril, Raf 23 Wu, Shulin 22 Klein, Christian 22 Ma, Changfeng 21 Sgallari, Fiorella 21 Spalević, Miodrag M. 20 Agarwal, Ravi P. 20 Bentbib, Abdeslem Hafid 20 Buccini, Alessandro 20 Hochstenbach, Michiel E. 20 Vianello, Marco 19 Axelsson, Axel Owe Holger 19 Brenner, Susanne Cecelia 19 Nasser, Mohamed M. S. 19 Oyarzúa, Ricardo 19 Praetorius, Dirk 19 Stoll, Martin 19 Wang, Yushun 18 Benzi, Michele 18 Donatelli, Marco 18 Rheinbach, Oliver 18 Szyld, Daniel B. 17 Rodriguez, Giuseppe 16 Chand, Arya Kumar Bedabrata 16 Cvetković, Ljiljana 16 Li, Hengguang 16 Li, Tongxing 16 Neytcheva, Maya G. 16 Pearson, John W. 16 Potts, Daniel 16 Vuorinen, Matti Keijo Kustaa 15 Dehghan Takht Fooladi, Mehdi 15 Durastante, Fabio 15 Gazzola, Silvia 15 Heinlein, Alexander 15 Hu, Jun 15 Mach, Thomas 15 Morigi, Serena 15 Sadok, Hassane 15 Sommariva, Alvise 15 Toutounian, Faezeh 14 Bertaccini, Daniele 14 MacLachlan, Scott P. 14 Noschese, Silvia 14 Rui, Hongxing 14 Wathen, Andrew John 14 Yan, Yubin 14 Yang, Yidu 13 Gemignani, Luca 13 He, Yinnian 13 Navascués, María Antonia 13 Saad, Yousef 13 Tu, Xuemin 13 Widlund, Olof B. 13 Yotov, Ivan 13 Zhang, Chenghui 12 Băleanu, Dumitru I. 12 Bohner, Martin J. 12 Caucao, Sergio 12 Chung, Julianne M. 12 Dolean, Victorita 12 Feischl, Michael 12 Güttel, Stefan 12 Hansen, Olaf 12 Heyouni, Mohammed 12 Huang, Yunqing 12 Kressner, Daniel 12 Kürschner, Patrick 12 Layton, William J. 12 Liesen, Jörg 12 Notay, Yvan 12 Palitta, Davide 12 Ruiz-Baier, Ricardo 12 Sogabe, Tomohiro 12 Viswanathan, Puthan Veedu 12 Xu, Xuejun 12 Zampini, Stefano 11 Atkinson, Kendall Eugene 11 Bultheel, Adhemar François 11 Cai, Xiao-Chuan 11 Caliari, Marco 11 Carpentieri, Bruno 11 Daftardar-Gejji, Varsha 11 Gu, Xian-Ming 11 Gugercin, Serkan 11 He, Xiaoming 11 Imakura, Akira ...and 6,853 more Authors all top 5 Cited in 498 Journals 474 Journal of Computational and Applied Mathematics 283 SIAM Journal on Scientific Computing 226 Journal of Computational Physics 222 Linear Algebra and its Applications 221 Applied Mathematics and Computation 217 Numerical Algorithms 200 Applied Numerical Mathematics 193 Computers & Mathematics with Applications 168 Journal of Scientific Computing 139 Computer Methods in Applied Mechanics and Engineering 122 Numerische Mathematik 110 Numerical Linear Algebra with Applications 103 ETNA. Electronic Transactions on Numerical Analysis 98 BIT 96 Mathematics of Computation 94 SIAM Journal on Matrix Analysis and Applications 78 SIAM Journal on Numerical Analysis 64 Advances in Computational Mathematics 58 Journal of Mathematical Analysis and Applications 56 Computational and Applied Mathematics 53 Journal of Approximation Theory 50 Calcolo 45 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 43 Inverse Problems 41 Applied Mathematics Letters 37 Mathematics and Computers in Simulation 36 International Journal of Computer Mathematics 34 Numerical Methods for Partial Differential Equations 34 Mathematical Problems in Engineering 34 Abstract and Applied Analysis 33 Computers and Fluids 32 Computational Optimization and Applications 26 Communications in Nonlinear Science and Numerical Simulation 26 Computational Methods in Applied Mathematics 25 Chaos, Solitons and Fractals 25 Journal of Applied Mathematics and Computing 25 Advances in Difference Equations 23 Engineering Analysis with Boundary Elements 21 Japan Journal of Industrial and Applied Mathematics 20 Computing and Visualization in Science 19 Fractals 19 Computational Methods and Function Theory 18 Applied Mathematical Modelling 17 Linear and Multilinear Algebra 17 International Journal for Numerical Methods in Engineering 17 Computational Mechanics 17 Acta Numerica 17 Communications in Computational Physics 17 Advances in Applied Mathematics and Mechanics 16 Constructive Approximation 16 Nonlinear Dynamics 16 Science China. Mathematics 15 Journal of Optimization Theory and Applications 15 SIAM Review 15 Applied and Computational Harmonic Analysis 15 ELA. The Electronic Journal of Linear Algebra 15 Mediterranean Journal of Mathematics 14 Mathematical Methods in the Applied Sciences 14 Applications of Mathematics 14 Journal of Mathematical Sciences (New York) 13 Computer Physics Communications 13 Physica D 13 Mathematical and Computer Modelling 13 Advances in Applied Clifford Algebras 13 Journal of Applied Mathematics 12 Numerical Functional Analysis and Optimization 12 Computational Geosciences 12 Journal of Numerical Mathematics 12 East Asian Journal on Applied Mathematics 11 Applicable Analysis 11 Proceedings of the American Mathematical Society 11 SIAM Journal on Optimization 11 Journal of Inverse and Ill-Posed Problems 11 Vietnam Journal of Mathematics 11 Journal of Inequalities and Applications 11 Foundations of Computational Mathematics 11 SIAM Journal on Imaging Sciences 10 Acta Applicandae Mathematicae 10 Journal of Integral Equations and Applications 10 Mathematical Programming. Series A. Series B 10 Discrete and Continuous Dynamical Systems. Series B 9 International Journal for Numerical Methods in Fluids 9 Computer Aided Geometric Design 9 Acta Mathematicae Applicatae Sinica. English Series 9 Filomat 9 The Journal of Fourier Analysis and Applications 9 AIMS Mathematics 8 Journal of the Franklin Institute 8 Systems & Control Letters 8 Fractional Calculus & Applied Analysis 8 Multiscale Modeling & Simulation 8 Inverse Problems and Imaging 8 Discrete and Continuous Dynamical Systems. Series S 7 ACM Transactions on Mathematical Software 7 Transactions of the American Mathematical Society 7 Journal of Complexity 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 SIAM Journal on Mathematical Analysis 7 Optimization Methods & Software 7 Archives of Computational Methods in Engineering ...and 398 more Journals all top 5 Cited in 59 Fields 4,345 Numerical analysis (65-XX) 1,157 Partial differential equations (35-XX) 709 Linear and multilinear algebra; matrix theory (15-XX) 630 Fluid mechanics (76-XX) 357 Ordinary differential equations (34-XX) 299 Approximations and expansions (41-XX) 288 Mechanics of deformable solids (74-XX) 242 Calculus of variations and optimal control; optimization (49-XX) 220 Special functions (33-XX) 216 Operations research, mathematical programming (90-XX) 198 Harmonic analysis on Euclidean spaces (42-XX) 190 Operator theory (47-XX) 185 Systems theory; control (93-XX) 167 Computer science (68-XX) 166 Probability theory and stochastic processes (60-XX) 159 Real functions (26-XX) 158 Functions of a complex variable (30-XX) 143 Integral equations (45-XX) 137 Information and communication theory, circuits (94-XX) 115 Dynamical systems and ergodic theory (37-XX) 111 Optics, electromagnetic theory (78-XX) 106 Biology and other natural sciences (92-XX) 92 Combinatorics (05-XX) 74 Statistics (62-XX) 71 Statistical mechanics, structure of matter (82-XX) 58 Measure and integration (28-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 56 Geophysics (86-XX) 55 Potential theory (31-XX) 54 Quantum theory (81-XX) 49 Difference and functional equations (39-XX) 47 Number theory (11-XX) 44 Functional analysis (46-XX) 32 Classical thermodynamics, heat transfer (80-XX) 27 Integral transforms, operational calculus (44-XX) 27 Convex and discrete geometry (52-XX) 23 Mechanics of particles and systems (70-XX) 20 Field theory and polynomials (12-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Differential geometry (53-XX) 13 History and biography (01-XX) 12 Sequences, series, summability (40-XX) 11 Algebraic geometry (14-XX) 10 Commutative algebra (13-XX) 10 Several complex variables and analytic spaces (32-XX) 10 General topology (54-XX) 9 General and overarching topics; collections (00-XX) 8 Abstract harmonic analysis (43-XX) 8 Geometry (51-XX) 8 Astronomy and astrophysics (85-XX) 7 Topological groups, Lie groups (22-XX) 6 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 4 Mathematics education (97-XX) 3 Mathematical logic and foundations (03-XX) 3 Nonassociative rings and algebras (17-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Citations by Year