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: 1,056 Publications (since 1993) References Indexed: 311 Publications with 10,563 References. all top 5 Latest Issues 62 (2024) 61 (2024) 60 (2024) 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 22 Reichel, Lothar 18 Mehrmann, Volker 13 Benner, Peter 13 Szyld, Daniel B. 13 Vandebril, Raf 12 Klawonn, Axel 12 Varga, Richard Steven 11 Ramlau, Ronny 11 Serra-Capizzano, Stefano 10 Brenner, Susanne Cecelia 10 Sadok, Hassane 9 Atkinson, Kendall Eugene 9 Frommer, Andreas 9 Kindermann, Stefan 9 Spalević, Miodrag M. 9 Van Barel, Marc 8 Gander, Martin Jakob 8 Jbilou, Khalide 8 Marcellán Español, Francisco 8 Sadkane, Miloud 8 Watkins, David S. 7 Donatelli, Marco 7 Liesen, Jörg 7 Meurant, Gérard A. 7 Tichý, Petr 7 Voss, Heinrich 6 Bentbib, Abdeslem Hafid 6 Benzi, Michele 6 Calvetti, Daniela 6 Faßbender, Heike 6 Kahl, Karsten 6 Milovanović, Gradimir V. 6 O’Leary, Dianne P. 6 Opfer, Gerhard 6 Rheinbach, Oliver 6 Saad, Yousef 5 Álvarez-Nodarse, Renato 5 Bini, Dario Andrea 5 Cai, Xiao-Chuan 5 Chen, Ke 5 Đukić, Dušan Lj. 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 Mitrouli, Marilena 5 Nabben, Reinhard 5 Nagy, James Gerard 5 Occorsio, Donatella 5 Pejčev, Aleksandar V. 5 Potts, Daniel 5 Stoll, Martin 5 Sung, Li-Yeng 5 Tu, Xuemin 5 Xu, Hongguo 4 Arioli, Mario 4 Asharabi, Rashad M. 4 Bardsley, Johnathan M. 4 Bolten, Matthias 4 Brandt, Achi E. 4 Buccini, Alessandro 4 Chien, David 4 Fermo, Luisa 4 Gazzola, Silvia 4 Greif, Chen 4 Hakula, Harri 4 Hansen, Olaf 4 Heinlein, Alexander 4 Hochbruck, Marlis 4 Hochstenbach, Michiel E. 4 Huckle, Thomas Kilian 4 Lambers, James V. 4 Lang, Bruno 4 Lanser, Martin 4 Martínez-Finkelshtein, Andrei 4 Mokhtary, Payam 4 Neymeyr, Klaus 4 Notay, Yvan 4 Orive Rodríguez, Ramón Angel 4 Sarkis, Marcus V. 4 Schweitzer, Marcel 4 Sgallari, Fiorella 4 Soodhalter, Kirk M. 4 Vianello, Marco 4 Vuik, Cornelis 4 Vuorinen, Matti Keijo Kustaa 3 Arvesú, Jorge 3 Aurentz, Jared Lee 3 Baglama, James 3 Baratchart, Laurent 3 Barbarino, Giovanni 3 Bebiano, Natália Isabel Quadros 3 Begović Kovač, Erna 3 Bochev, Pavel B. ...and 1,375 more Authors all top 5 Fields 887 Numerical analysis (65-XX) 181 Partial differential equations (35-XX) 170 Linear and multilinear algebra; matrix theory (15-XX) 110 Approximations and expansions (41-XX) 71 Special functions (33-XX) 67 Fluid mechanics (76-XX) 58 Harmonic analysis on Euclidean spaces (42-XX) 55 Functions of a complex variable (30-XX) 45 Operator theory (47-XX) 38 Integral equations (45-XX) 37 Ordinary differential equations (34-XX) 34 Computer science (68-XX) 30 Operations research, mathematical programming (90-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 28 Probability theory and stochastic processes (60-XX) 28 Mechanics of deformable solids (74-XX) 25 Information and communication theory, circuits (94-XX) 21 Systems theory; control (93-XX) 18 General and overarching topics; collections (00-XX) 18 Combinatorics (05-XX) 16 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) 12 Quantum theory (81-XX) 8 Functional analysis (46-XX) 8 Statistics (62-XX) 8 Geophysics (86-XX) 7 History and biography (01-XX) 7 Integral transforms, operational calculus (44-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Field theory and polynomials (12-XX) 6 Measure and integration (28-XX) 6 Difference and functional equations (39-XX) 3 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Sequences, series, summability (40-XX) 3 Geometry (51-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Astronomy and astrophysics (85-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-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 861 Publications have been cited 8,313 times in 6,742 Documents Cited by ▼ Year ▼ An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071 Diethelm, Kai 266 1997 An aggregation-based algebraic multigrid method. Zbl 1206.65133 Notay, Yvan 155 2010 BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum. Zbl 0820.65016 Sleijpen, Gerard L. G.; Fokkema, Diederik R. 140 1993 Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation. Zbl 0980.65108 Chen, Jing-Bo; Qin, Meng-Zhao 108 2001 Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations. Zbl 1170.76024 Galvis, Juan; Sarkis, Marcus 103 2007 Schwarz methods over the course of time. Zbl 1171.65020 Gander, Martin J. 101 2008 Efficient preconditioning for sequences of parametric complex symmetric linear systems. Zbl 1066.65048 Bertaccini, Daniele 95 2004 Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems. Zbl 1287.65043 Kindermann, Stefan 86 2011 On fast factorization pivoting methods for sparse symmetric indefinite systems. Zbl 1112.65022 Schenk, Olaf; Gärtner, Klaus 86 2006 On Krylov projection methods and Tikhonov regularization. Zbl 1312.65065 Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria 71 2015 Asymptotic lower bounds for eigenvalues by nonconforming finite element methods. Zbl 1065.65127 Armentano, María G.; Durán, Ricardo G. 64 2004 A weighted-GCV method for Lanczos-hybrid regularization. Zbl 1171.65029 Chung, Julianne; Nagy, James G.; O’Leary, Dianne P. 61 2008 An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation. Zbl 1171.65035 Heyouni, M.; Jbilou, K. 61 2009 Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065 Wathen, Andy; Rees, Tyrone 58 2009 A new Geršgorin-type eigenvalue inclusion set. Zbl 1069.15016 Cvetkovic, Ljiljana; Kostic, Vladimir; Varga, Richard S. 56 2004 An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030 Calvetti, D.; Reichel, L.; Sorensen, Danny C. 54 1994 Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 1186.65134 Klein, Christian 53 2008 Parameter-robust stability of classical three-field formulation of Biot’s consolidation model. Zbl 1398.65046 Hong, Qingguo; Kraus, Johannes 53 2018 A block version of BiCGSTAB for linear systems with multiple right-hand sides. Zbl 1065.65052 el Guennouni, A.; Jbilou, K.; Sadok, H. 52 2003 Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092 Schmelzer, Thomas; Trefethen, Lloyd N. 51 2007 A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077 Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng 51 2008 A unified framework for adaptive BDDC. Zbl 1368.65043 Pechstein, Clemens; Dohrmann, Clark R. 48 2017 Wave-ray multigrid method for standing wave equations. Zbl 0891.65127 Brandt, A.; Livshits, I. 48 1997 Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034 Benzi, Michele; Razouk, Nader 48 2007 Polynomial eigenvalue problems with Hamiltonian structure. Zbl 1065.65054 Mehrmann, Volker; Watkins, David 47 2002 Preconditioning eigensolvers – an Oxymoron? Zbl 1053.65513 Knyazev, Andrew V. 46 1998 Oblique projection methods for linear systems with multiple right-hand sides. Zbl 1121.65313 Jbilou, K.; Sadok, H.; Tinzefte, A. 46 2005 An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295 Calvo, Juan G.; Widlund, Olof B. 45 2016 Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. Zbl 1177.34047 Akin-Bohner, Elvan; Bohner, Martin; Saker, Samir H. 45 2007 Continuous \(\Theta\)-methods for the stochastic pantograph equation. Zbl 0968.65004 Baker, Christopher T. H.; Buckwar, Evelyn 45 2000 On error estimation in the conjugate gradient method and why it works in finite precision computations. Zbl 1026.65027 Strakoš, Zdeněk; Tichý, Petr 45 2002 Low-rank solvers for fractional differential equations. Zbl 1338.65071 Breiten, Tobias; Simoncini, Valeria; Stoll, Martin 44 2016 A comparison of adaptive coarse spaces for iterative substructuring in two dimensions. Zbl 1338.65084 Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver 42 2016 Gauss-Kronrod quadrature formulae. A survey of fifty years of research. Zbl 1355.65045 Notaris, Sotirios E. 41 2016 A partition of the unit sphere into regions of equal area and small diameter. Zbl 1160.51304 Leopardi, Paul 41 2006 Orthogonality of Jacobi polynomials with general parameters. Zbl 1075.33005 Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R. 41 2005 Simple square smoothing regularization operators. Zbl 1171.65033 Reichel, Lothar; Ye, Qiang 40 2009 Alternative orthogonal polynomials and quadratures. Zbl 1107.33006 Chelyshkov, Vladimir S. 40 2006 Fast Leja points. Zbl 0912.65004 Baglama, J.; Calvetti, D.; Reichel, L. 39 1998 Krylov subspace acceleration for nonlinear multigrid schemes. Zbl 0903.65096 Washio, T.; Oosterlee, C. W. 39 1997 Parameter estimation for multivariate exponential sums. Zbl 1305.65093 Potts, Daniel; Tasche, Manfred 39 2013 Fractal trigonometric approximation. Zbl 1091.42001 Navascues, M. A. 39 2005 Block Krylov subspace methods for functions of matrices. Zbl 1372.65138 Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B. 38 2017 General highly accurate algebraic coarsening. Zbl 0951.65096 Brandt, Achi 38 2000 An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Zbl 1330.65130 Ford, N. J.; Morgado, M. L.; Rebelo, M. 38 2015 Analysis of the finite element method for transmission/mixed boundary value problems on general polygonal domains. Zbl 1205.65317 Li, Hengguang; Mazzucato, Anna; Nistor, Victor 38 2010 Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks. Zbl 1112.65042 Greif, Chen; Schötzau, Dominik 38 2006 Coercive space-time finite element methods for initial boundary value problems. Zbl 1436.65144 Steinbach, Olaf; Zank, Marco 36 2020 A survey and comparison of contemporary algorithms for computing the matrix geometric mean. Zbl 1287.65036 Jeuris, Ben; Vandebril, Raf; Vandereycken, Bart 36 2012 A two-level discretization method for the stationary MHD equations. Zbl 0898.76059 Layton, W. J.; Meir, A. J.; Schmidt, P. G. 36 1997 Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations. Zbl 1312.65068 Benner, Peter; Kürschner, Patrick; Saak, Jens 36 2014 Efficient solution of symmetric eigenvalue problems using multigrid preconditioners in the locally optimal block conjugate gradient method. Zbl 1031.65126 Knyazev, Andrew V.; Neymeyr, Klaus 36 2003 On multigrid for linear complementarity problems with application to American-style options. Zbl 1031.65072 Oosterlee, C. W. 35 2003 Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems. Zbl 1355.65128 Gander, Martin J.; Kwok, Felix; Mandal, Bankim C. 34 2016 The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049 Gautschi, Walter 34 2002 Multigrid method for \(H\text{(div)}\) in three dimensions. Zbl 0897.65046 Hiptmair, R. 33 1997 On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian. Zbl 1190.65050 Erlangga, Yogi A.; Nabben, Reinhard 33 2008 Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031 Pearson, John W.; Wathen, Andrew J. 33 2013 Robust rational interpolation and least-squares. Zbl 1293.65017 Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N. 32 2011 Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. Zbl 1171.65074 Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz 31 2008 Cross-Gramian based model reduction for data-sparse systems. Zbl 1170.93315 Baur, Ulrike; Benner, Peter 31 2008 First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity. Zbl 0856.76010 Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F. 30 1995 Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case. Zbl 1434.65032 Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 30 2020 \(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041 Calvetti, D.; Hansen, P. C.; Reichel, L. 30 2002 Low-rank iterative methods for projected generalized Lyapunov equations. Zbl 1171.65385 Stykel, Tatjana 29 2008 An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions. Zbl 1112.65119 Dean, E. J.; Glowinski, R. 29 2006 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539 Elman, Howard C.; Tuminaro, Ray S. 28 2009 Comparison between different numerical discretizations for a Darcy-Forchheimer model. Zbl 1185.35193 López, Hilda; Molina, Brígida; Salas, José J. 28 2009 Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148 Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian 28 2010 Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems. Zbl 0912.65026 Sleijpen, Gerard L. G.; van der Horst, Henk A.; Meijerbrink, Ellen 27 1998 Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D. Zbl 1448.65263 Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver 27 2018 A note on parallel preconditioning for all-at-once evolutionary PDEs. Zbl 1422.65232 Wathen, Anthony Goddard Andy 27 2019 Parallel, synchronous and asynchronous two-stage multisplitting methods. Zbl 0856.65024 Bru, Rafael; Migallón, Violeta; Penadés, José; Szyld, Daniel B. 26 1995 Proof of a conjecture of Chan, Robbins, and Yuen. Zbl 0941.05006 Zeilberger, Doron 26 1999 A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413 Haasdonk, B.; Ohlberger, M.; Rozza, G. 26 2008 Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems. Zbl 1288.65093 Du, Xiuhong; Sarkis, Marcus; Schaerer, Christian E.; Szyld, Daniel B. 26 2013 Numerical analysis of a dual-mixed problem in non-standard Banach spaces. Zbl 1448.65219 Camaño, Jessika; Muñoz, Cristian; Oyarzúa, Ricardo 26 2018 Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Zbl 0889.65112 Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F. 25 1997 Fast solution of boundary integral equations with the generalized Neumann kernel. Zbl 1330.65185 Nasser, Mohamed M. S. 25 2015 A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids. Zbl 1312.65135 Gowrisankar, S.; Natesan, Srinivasan 25 2014 Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. Zbl 1434.65033 Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 25 2020 A simplified L-curve method as error estimator. Zbl 1475.65024 Kindermann, Stefan; Raik, Kemal 25 2020 Implicit for local effects and explicit for nonlocal effects is unconditionally stable. Zbl 1085.76046 Anitescu, Mihai; Pahlevani, Faranak; Layton, William J. 25 2004 An augmented mixed finite element method for linear elasticity with non-homogeneous Dirichlet conditions. Zbl 1170.74049 Gatica, Gabriel N. 24 2007 A BDDC algorithm for a mixed formulation of flow in porous media. Zbl 1160.76368 Tu, Xuemin 24 2005 Cross-points in domain decomposition methods with a finite element discretization. Zbl 1347.65187 Gander, Martin J.; Santugini, Kévin 24 2016 On the shifted QR iteration applied to companion matrices. Zbl 1066.65039 Bini, Dario A.; Daddi, Francesco; Gemignani, Luca 23 2004 Algebraic properties of the block GMRES and block Arnoldi methods. Zbl 1188.65031 Elbouyahyaoui, L.; Messaoudi, A.; Sadok, H. 23 2009 A posteriori error estimation for the Legendre collocation method applied to integral-algebraic Volterra equations. Zbl 1287.65145 Pishbin, S.; Ghoreishi, F.; Hadizadeh, M. 22 2011 Stability properties of differential-algebraic equations and Spin-stabilized discretizations. Zbl 1171.65418 Kunkel, Peter; Mehrmann, Volker 22 2007 Fine structure of the zeros of orthogonal polynomials. I: A tale of two pictures. Zbl 1129.42011 Simon, Barry 22 2006 A structured staircase algorithm for skew-symmetric/symmetric pencils. Zbl 1113.65065 Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 22 2007 Cholesky-like factorizations of skew-symmetric matrices. Zbl 0963.65033 Benner, Peter; Byers, Ralph; Fassbender, Heike; Mehrmann, Volker; Watkins, David 22 2000 Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method. Zbl 0912.65027 Stathopoulos, Andreas; Saad, Yousef 21 1998 A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space. Zbl 1295.65062 Günnel, Andreas; Herzog, Roland; Sachs, Ekkehard 21 2014 A BDDC algorithm for flow in porous media with a hybrid finite element discretization. Zbl 1170.76034 Tu, Xuemin 21 2007 Parameter-uniform fitted mesh method for singularly perturbed delay differential equations with layer behavior. Zbl 1112.65067 Kadalbajoo, M. K.; Sharma, K. K. 21 2006 Multigrid preconditioning and Toeplitz matrices. Zbl 1065.65063 Huckle, Thomas; Staudacher, Jochen 20 2002 Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains. Zbl 0815.30008 Eiermann, Michael; Varga, Richard S. 20 1993 \(\alpha\)-fractal rational splines for constrained interpolation. Zbl 1312.41015 Viswanathan, Puthan Veedu; Chand, Arya Kumar Bedabrata 20 2014 Fully algebraic domain decomposition preconditioners with adaptive spectral bounds. Zbl 1545.65470 Gouarin, Loïc; Spillane, Nicole 1 2024 Software for limited memory restarted \(\ell^p\)-\(\ell^q\) minimization methods using generalized Krylov subspaces. Zbl 1543.65079 Buccini, Alessandro; Reichel, Lothar 1 2024 Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex, and ball. Zbl 1547.65020 Białas-Cież, L.; Kenne, D. J.; Sommariva, A.; Vianello, M. 1 2024 Convergence of the Eberlein diagonalization method under generalized serial pivot strategies. Zbl 1545.65159 Kovač, Erna Begović; Perković, Ana 1 2024 A novel iterative time integration scheme for linear poroelasticity. Zbl 07881193 Altmann, Robert; Deiml, Matthias 1 2024 A stable numerical method for integral epidemic models with behavioral changes in contact patterns. Zbl 07958990 Buonomo, Bruno; Messina, Eleonora; Panico, Claudia; Vecchio, Antonia 1 2024 Computation of Gauss-type quadrature rules. Zbl 07958989 Borges, Carlos F.; Reichel, Lothar 1 2024 A numerical method for solving systems of hypersingular integro-differential equations. Zbl 1538.65610 De Bonis, Maria Carmela; Mennouni, Abdelaziz; Occorsio, Donatella 5 2023 A modified alternating positive semidefinite splitting preconditioner for block three-by-three saddle point problems. Zbl 1512.65044 Chen, Fang; Ren, Bi-Cong 4 2023 A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices. Zbl 1516.15005 Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano 3 2023 A block Toeplitz preconditioner for all-at-once systems from linear wave equations. Zbl 1524.65123 Hon, Sean; Serra-Capizzano, Stefano 3 2023 Parameter-free restoration of piecewise smooth images. Zbl 1535.94007 Lanza, Alessandro; Pragliola, Monica; Sgallari, Fiorella 2 2023 A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation. Zbl 1529.65107 Chen, J.; Dwarka, V.; Vuik, C. 2 2023 Nonequispaced fast Fourier transform boost for the Sinkhorn algorithm. Zbl 1512.90135 Lakshmanan, Rajmadan; Pichler, Alois; Potts, Daniel 2 2023 On the numerical solution of Volterra integral equations on equispaced nodes. Zbl 1524.65962 Fermo, Luisa; Mezzanotte, Domenico; Occorsio, Donatella 2 2023 Asynchronous domain decomposition methods for nonlinear PDEs. Zbl 1512.65291 Chaouqui, Fayçal; Chow, Edmond; Szyld, Daniel B. 2 2023 A note on “Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands” by M. M. Spalević et al. Zbl 1520.65017 Pejčev, Aleksandar V. 2 2023 Optimal \(W^{1,\infty}\)-estimates for an isoparametric finite element discretization of elliptic boundary value problems. Zbl 1498.65197 Dörich, Benjamin; Leibold, Jan; Maier, Bernhard 2 2023 An evolutionary approach to the coefficient problems in the class of starlike functions. Zbl 07799504 Jastrzȩbski, Piotr; Lecko, Adam 1 2023 Characterizations of adjoint Sobolev embedding operators with applications in inverse problems. Zbl 1543.46058 Hubmer, Simon; Sherina, Ekaterina; Ramlau, Ronny 1 2023 Computation of potential flow in multiply connected domains using Conformal mapping. Zbl 1536.30025 Delillo, T.; Mears, J.; Sahraei, S. 1 2023 A note on the probabilistic stability of randomized Taylor schemes. Zbl 1512.65131 Bochacik, Tomasz 1 2023 Rounding error analysis of linear recurrences using generating series. Zbl 1512.65082 Mezzarobba, Marc 1 2023 Improved bisection eigenvalue method for band symmetric Toeplitz matrices. Zbl 1524.65166 Eidelman, Yuli; Haimovici, Iulian 1 2023 Range restricted iterative methods for linear discrete ill-posed problems. Zbl 1512.65069 Buccini, Alessandro; Onisk, Lucas; Reichel, Lothar 1 2023 Conditioning of linear systems arising from penalty methods. Zbl 1512.65073 Layton, William; Xu, Shuxian 1 2023 Rational symbolic cubature rules over the first quadrant in a Cartesian plane. Zbl 1524.41078 Abouir, Jilali; Benouahmane, Brahim; Chakir, Yassine 1 2023 Distribution results for a special class of matrix sequences: joining approximation theory and asymptotic linear algebra. Zbl 1521.15025 Schiavoni-Piazza, Alec Jacopo Almo; Serra-Capizzano, Stefano 1 2023 Deautoconvolution in the two-dimensional case. Zbl 07693762 Deng, Yu; Hofmann, Bernd; Werner, Frank 1 2023 Robust BDDC algorithms for finite volume element methods. Zbl 1512.65275 Su, Yanru; Tu, Xuemin; Xu, Yingxiang 1 2023 An enhancement of the convergence of the IDR method. Zbl 1522.65041 Bouyghf, F.; Messaoudi, A.; Sadok, H. 1 2023 Orthogonality on the semicircle: old and new results. Zbl 1523.30014 Milovanović, Gradimir V. 1 2023 Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. Zbl 1478.65139 Bootland, Niall; Dolean, Victorita; Kyriakis, Alexander; Pestana, Jennifer 7 2022 Operator inference and physics-informed learning of low-dimensional models for incompressible flows. Zbl 1505.76072 Benner, Peter; Goyal, Pawan; Heiland, Jan; Duff, Igor Pontes 6 2022 A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data. Zbl 1492.93037 Cherifi, Karim; Goyal, Pawan; Benner, Peter 6 2022 A comparison of reduced-order modeling approaches using artificial neural networks for PDEs with bifurcating solutions. Zbl 1487.65195 Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi 4 2022 On the tangential cone condition for electrical impedance tomography. Zbl 07556370 Kindermann, Stefan 4 2022 The LSQR method for solving tensor least-squares problems. Zbl 1477.65067 Bentbib, Abdeslem H.; Khouia, Asmaa; Sadok, Hassane 3 2022 Graph Laplacian for image deblurring. Zbl 1487.65203 Bianchi, Davide; Buccini, Alessandro; Donatelli, Marco; Randazzo, Emma 3 2022 Error bounds for Gaussian quadrature formulae with Legendre weight function for analytic integrands. Zbl 1487.65029 Jandrlić, D. R.; Krtinić, D. M.; Mihić, Lj. V.; Pejčev, A. V.; Spalević, M. M. 3 2022 Decomposition and composition of deep convolutional neural networks and training acceleration via sub-network transfer learning. Zbl 1524.68316 Gu, Linyan; Zhang, Wei; Liu, Jia; Cai, Xiao-Chuan 3 2022 Surrogate convolutional neural network models for steady computational fluid dynamics simulations. Zbl 1496.76110 Eichinger, Matthias; Heinlein, Alexander; Klawonn, Axel 3 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 1543.47031 Hofmann, Bernd; Mathé, Peter 3 2022 Rectangular GLT sequences. Zbl 1493.15085 Barbarino, Giovanni; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano 3 2022 Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator. Zbl 1498.28017 Pandey, Kshitij Kumar; Viswanathan, Puthan Veedu 3 2022 A linear barycentric rational interpolant on starlike domains. Zbl 1524.65049 Berrut, Jean-Paul; Elefante, Giacomo 3 2022 A survey on variational characterizations for nonlinear eigenvalue problems. Zbl 07436835 Lampe, Jörg; Voss, Heinrich 2 2022 On a compensated Ehrlich-Aberth method for the accurate computation of all polynomial roots. Zbl 1487.65052 Cameron, Thomas R.; Graillat, Stef 2 2022 On multidimensional sinc-Gauss sampling formulas for analytic functions. Zbl 1490.94044 Asharabi, Rashad M.; Al-Haddad, Felwah H. 2 2022 Structure preservation for the deep neural network multigrid solver. Zbl 1487.65153 Margenberg, Nils; Lessig, Christian; Richter, Thomas 2 2022 A machine learning framework for LES closure terms. Zbl 1490.76118 Kurz, Marius; Beck, Andrea 2 2022 A deep learning based nonlinear upscaling method for transport equations. Zbl 1487.65191 Yeung, Tak Shing Au; Chung, Eric T.; See, Simon 2 2022 Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks. Zbl 1478.92193 Grimm, Viktor; Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine 2 2022 Error estimates for variational regularization of inverse problems with general noise models for data and operator. Zbl 1498.65081 Hohage, Thorsten; Werner, Frank 2 2022 Decay bounds for Bernstein functions of Hermitian matrices with applications to the fractional graph Laplacian. Zbl 1491.65033 Schweitzer, Marcel 2 2022 Structured shifts for skew-symmetric matrices. 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Zbl 1455.94027 Lanza, Alessandro; Pragliola, Monica; Sgallari, Fiorella 17 2020 Shifted and extrapolated power methods for tensor \(\ell^p\)-eigenpairs. Zbl 1433.65049 Cipolla, Stefano; Redivo-Zaglia, Michela; Tudisco, Francesco 15 2020 ...and 761 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,069 Authors 170 Reichel, Lothar 65 Gander, Martin Jakob 51 Benner, Peter 49 Jbilou, Khalide 48 Gatica, Gabriel N. 42 Serra-Capizzano, Stefano 32 Klawonn, Axel 31 Huang, Ting-Zhu 31 Spalević, Miodrag M. 30 Mehrmann, Volker 30 Simoncini, Valeria 30 Wang, Yushun 29 Klein, Christian 28 Buccini, Alessandro 27 Bentbib, Abdeslem Hafid 27 Van Barel, Marc 27 Wu, Shulin 26 Marcellán Español, Francisco 25 Ford, Neville J. 25 Vandebril, Raf 25 Vianello, Marco 24 Donatelli, Marco 24 Stoll, Martin 23 Brenner, Susanne Cecelia 23 Sgallari, Fiorella 22 Benzi, Michele 22 Hochstenbach, Michiel E. 22 Ma, Changfeng 22 Nasser, Mohamed M. S. 22 Oyarzúa, Ricardo 21 Pearson, John W. 21 Rodriguez, Giuseppe 21 Szyld, Daniel B. 20 Agarwal, Ravi P. 20 Axelsson, Axel Owe Holger 20 Chand, Arya Kumar Bedabrata 20 Gazzola, Silvia 20 Praetorius, Dirk 20 Saad, Yousef 20 Sommariva, Alvise 19 Cvetković, Ljiljana 19 Heinlein, Alexander 19 Neytcheva, Maya G. 19 Noschese, Silvia 19 Rheinbach, Oliver 18 Dehghan Takht Fooladi, Mehdi 18 Morigi, Serena 18 Potts, Daniel 18 Sadok, Hassane 18 Vuik, Cornelis 17 Durastante, Fabio 17 Jiang, Chaolong 17 Rui, Hongxing 17 Sung, Li-Yeng 17 Vuorinen, Matti Keijo Kustaa 17 Wathen, Andrew John 17 Yang, Yidu 16 Caucao, Sergio 16 Kressner, Daniel 16 Lanser, Martin 16 Li, Hengguang 16 Li, Tongxing 16 Ruiz-Baier, Ricardo 16 Toutounian, Faezeh 16 Yan, Yubin 15 Chung, Julianne M. 15 Heyouni, Mohammed 15 Hu, Jun 15 Mach, Thomas 15 MacLachlan, Scott P. 15 Nagy, James Gerard 15 Navascués, María Antonia 15 Occorsio, Donatella 15 Palitta, Davide 15 Sogabe, Tomohiro 15 Steinbach, Olaf 15 Tu, Xuemin 15 Yotov, Ivan 14 Bertaccini, Daniele 14 Chung, Tsz Shun Eric 14 Dolean, Victorita 14 Güttel, Stefan 14 Hajarian, Masoud 14 He, Yinnian 14 Liang, Zhaozheng 14 Liesen, Jörg 14 Schweitzer, Marcel 14 Xu, Xuejun 13 Băleanu, Dumitru I. 13 Fermo, Luisa 13 Gemignani, Luca 13 Hansen, Olaf 13 Hu, Xiaozhe 13 Kostić, Vladimir R. 13 Kürschner, Patrick 13 Langer, Ulrich 13 Lanza, Alessandro 13 Mardal, Kent-Andre 13 Meurant, Gérard A. 13 Mitrouli, Marilena ...and 7,969 more Authors all top 5 Cited in 538 Journals 509 Journal of Computational and Applied Mathematics 321 SIAM Journal on Scientific Computing 257 Numerical Algorithms 248 Journal of Computational Physics 237 Linear Algebra and its Applications 227 Applied Mathematics and Computation 227 Numerical Linear Algebra with Applications 226 Computers & Mathematics with Applications 220 Applied Numerical Mathematics 195 Journal of Scientific Computing 155 Computer Methods in Applied Mechanics and Engineering 145 ETNA. 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Second Series 10 Computational Methods for Differential Equations 9 Computer Aided Geometric Design 9 Filomat 9 Fractional Calculus & Applied Analysis 9 International Journal of Nonlinear Sciences and Numerical Simulation 9 Multiscale Modeling & Simulation 9 Inverse Problems and Imaging 9 Journal of Applied Analysis and Computation 9 AIMS Mathematics ...and 438 more Journals all top 5 Cited in 60 Fields 5,235 Numerical analysis (65-XX) 1,403 Partial differential equations (35-XX) 861 Linear and multilinear algebra; matrix theory (15-XX) 775 Fluid mechanics (76-XX) 410 Ordinary differential equations (34-XX) 375 Approximations and expansions (41-XX) 347 Mechanics of deformable solids (74-XX) 291 Calculus of variations and optimal control; optimization (49-XX) 261 Special functions (33-XX) 260 Operations research, mathematical programming (90-XX) 237 Operator theory (47-XX) 220 Harmonic analysis on Euclidean spaces (42-XX) 211 Computer science (68-XX) 206 Systems theory; control (93-XX) 195 Real functions (26-XX) 180 Integral equations (45-XX) 178 Probability theory and stochastic processes (60-XX) 176 Functions of a complex variable (30-XX) 166 Information and communication theory, circuits (94-XX) 133 Biology and other natural sciences (92-XX) 131 Dynamical systems and ergodic theory (37-XX) 131 Optics, electromagnetic theory (78-XX) 106 Combinatorics (05-XX) 96 Statistics (62-XX) 82 Statistical mechanics, structure of matter (82-XX) 73 Measure and integration (28-XX) 66 Quantum theory (81-XX) 65 Geophysics (86-XX) 65 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Potential theory (31-XX) 53 Number theory (11-XX) 49 Difference and functional equations (39-XX) 49 Functional analysis (46-XX) 39 Classical thermodynamics, heat transfer (80-XX) 35 Integral transforms, operational calculus (44-XX) 29 Convex and discrete geometry (52-XX) 28 Mechanics of particles and systems (70-XX) 27 Global analysis, analysis on manifolds (58-XX) 23 Field theory and polynomials (12-XX) 22 Differential geometry (53-XX) 14 History and biography (01-XX) 14 Sequences, series, summability (40-XX) 13 Several complex variables and analytic spaces (32-XX) 11 General and overarching topics; collections (00-XX) 11 Commutative algebra (13-XX) 11 Algebraic geometry (14-XX) 11 General topology (54-XX) 9 Topological groups, Lie groups (22-XX) 9 Abstract harmonic analysis (43-XX) 9 Geometry (51-XX) 8 Associative rings and algebras (16-XX) 7 Astronomy and astrophysics (85-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) 3 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Citations by Year