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## 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: Indexed cover-to-cover; Published electronic only as of Vol. 1 (1993). This journal is available open access.
 Documents Indexed: 901 Publications (since 1993) References Indexed: 159 Publications with 4,914 References.
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#### Latest Issues

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#### Authors

 16 Reichel, Lothar 15 Mehrmann, Volker 13 Vandebril, Raf 11 Varga, Richard Steven 10 Benner, Peter 10 Brenner, Susanne Cecelia 9 Klawonn, Axel 9 Ramlau, Ronny 9 Sadok, Hassane 9 Szyld, Daniel B. 9 Van Barel, Marc 8 Frommer, Andreas 8 Jbilou, Khalide 8 Marcellán Español, Francisco 8 Sadkane, Miloud 8 Watkins, David S. 7 Atkinson, Kendall Eugene 7 Gander, Martin Jakob 6 Benzi, Michele 6 Calvetti, Daniela 6 Liesen, Jörg 6 Meurant, Gérard A. 6 O’Leary, Dianne P. 6 Opfer, Gerhard 6 Rheinbach, Oliver 6 Saad, Yousef 6 Serra-Capizzano, Stefano 6 Spalević, Miodrag M. 6 Tichý, Petr 6 Voss, Heinrich 5 Álvarez-Nodarse, Renato 5 Chen, Ke 5 Donatelli, Marco 5 Gautschi, Walter 5 Hansen, Per Christian 5 Janovská, Drahoslava 5 Kanda, Hidesada 5 Kindermann, Stefan 5 López, José Luis 5 Mach, Thomas 5 Manteuffel, Thomas A. 5 Marcinkowski, Leszek 5 Mastronardi, Nicola 5 Mitrouli, Marilena 5 Nagy, James Gerard 5 Stoll, Martin 5 Xu, Hongguo 4 Arioli, Mario 4 Bardsley, Johnathan M. 4 Bentbib, Abdeslem Hafid 4 Bini, Dario Andrea 4 Brandt, Achi E. 4 Faßbender, Heike 4 Hochbruck, Marlis 4 Hochstenbach, Michiel E. 4 Huckle, Thomas Kilian 4 Lang, Bruno 4 Martínez-Finkelshtein, Andrei 4 Milovanović, Gradimir V. 4 Mokhtary, Payam 4 Nabben, Reinhard 4 Orive Rodríguez, Ramón Angel 4 Potts, Daniel 4 Sarkis, Marcus V. 4 Tu, Xuemin 3 Arvesú, Jorge 3 Aurentz, Jared Lee 3 Baratchart, Laurent 3 Bebiano, Natália Isabel Quadros 3 Bochev, Pavel B. 3 Bolten, Matthias 3 Bru, Rafael 3 Bultheel, Adhemar François 3 Cai, Xiao-Chuan 3 Castillo, José E. 3 Dobrowolski, Manfred 3 Erhel, Jocelyne 3 Ferreira, Chelo 3 Fika, Paraskevi 3 Gemignani, Luca 3 Gutknecht, Martin H. 3 Güttel, Stefan 3 Hakula, Harri 3 Heyouni, Mohammed 3 Hwang, Fengnan 3 Junghanns, Peter 3 Kahl, Karsten 3 Kressner, Daniel 3 Kunis, Stefan 3 Lambers, James V. 3 Langer, Ulrich 3 Lanser, Martin 3 Malyshev, Alexander N. 3 Mandel, Jan 3 Masjed-Jamei, Mohammad 3 Mastroianni, Giuseppe 3 McCormick, Steve Fahrney 3 Migallón, Violeta 3 Morigi, Serena 3 Neubauer, Andreas ...and 1,158 more Authors
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#### Fields

 753 Numerical analysis (65-XX) 167 Partial differential equations (35-XX) 139 Linear and multilinear algebra; matrix theory (15-XX) 94 Approximations and expansions (41-XX) 67 Special functions (33-XX) 59 Fluid mechanics (76-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 48 Functions of a complex variable (30-XX) 35 Ordinary differential equations (34-XX) 34 Operator theory (47-XX) 31 Integral equations (45-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 25 Probability theory and stochastic processes (60-XX) 25 Computer science (68-XX) 25 Operations research, mathematical programming (90-XX) 24 Mechanics of deformable solids (74-XX) 19 Systems theory; control (93-XX) 18 Information and communication theory, circuits (94-XX) 15 General and overarching topics; collections (00-XX) 15 Combinatorics (05-XX) 13 Number theory (11-XX) 13 Potential theory (31-XX) 13 Optics, electromagnetic theory (78-XX) 13 Biology and other natural sciences (92-XX) 12 Real functions (26-XX) 11 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) 6 History and biography (01-XX) 6 Field theory and polynomials (12-XX) 6 Difference and functional equations (39-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Measure and integration (28-XX) 5 Integral transforms, operational calculus (44-XX) 4 Statistics (62-XX) 3 Associative rings and algebras (16-XX) 3 Sequences, series, summability (40-XX) 3 Convex and discrete geometry (52-XX) 3 Astronomy and astrophysics (85-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-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)

#### Citations contained in zbMATH Open

690 Publications have been cited 5,307 times in 4,429 Documents Cited by Year
An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071
Diethelm, Kai
1997
BiCGstab($$l$$) for linear equations involving unsymmetric matrices with complex spectrum. Zbl 0820.65016
Sleijpen, Gerard L. G.; Fokkema, Diederik R.
1993
An aggregation-based algebraic multigrid method. Zbl 1206.65133
Notay, Yvan
2010
Efficient preconditioning for sequences of parametric complex symmetric linear systems. Zbl 1066.65048
Bertaccini, Daniele
2004
On fast factorization pivoting methods for sparse symmetric indefinite systems. Zbl 1112.65022
Schenk, Olaf; Gärtner, Klaus
2006
Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations. Zbl 1170.76024
Galvis, Juan; Sarkis, Marcus
2007
Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems. Zbl 1287.65043
Kindermann, Stefan
2011
Schwarz methods over the course of time. Zbl 1171.65020
Gander, Martin J.
2008
Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation. Zbl 0980.65108
Chen, Jing-Bo; Qin, Meng-Zhao
2001
Asymptotic lower bounds for eigenvalues by nonconforming finite element methods. Zbl 1065.65127
Armentano, María G.; Durán, Ricardo G.
2004
Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. Zbl 1177.34047
Akin-Bohner, Elvan; Bohner, Martin; Saker, Samir H.
2007
An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030
Calvetti, D.; Reichel, L.; Sorensen, Danny C.
1994
A block version of BiCGSTAB for linear systems with multiple right-hand sides. Zbl 1065.65052
el Guennouni, A.; Jbilou, K.; Sadok, H.
2003
On Krylov projection methods and Tikhonov regularization. Zbl 1312.65065
Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria
2015
A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
2008
Wave-ray multigrid method for standing wave equations. Zbl 0891.65127
Brandt, A.; Livshits, I.
1997
Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065
Wathen, Andy; Rees, Tyrone
2009
Decay bounds and $$O(n)$$ algorithms for approximating functions of sparse matrices. Zbl 1171.65034
2007
An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation. Zbl 1171.65035
Heyouni, M.; Jbilou, K.
2009
A new Geršgorin-type eigenvalue inclusion set. Zbl 1069.15016
Cvetkovic, Ljiljana; Kostic, Vladimir; Varga, Richard S.
2004
A weighted-GCV method for Lanczos-hybrid regularization. Zbl 1171.65029
Chung, Julianne; Nagy, James G.; O’Leary, Dianne P.
2008
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092
Schmelzer, Thomas; Trefethen, Lloyd N.
2007
Continuous $$\Theta$$-methods for the stochastic pantograph equation. Zbl 0968.65004
Baker, Christopher T. H.; Buckwar, Evelyn
2000
Oblique projection methods for linear systems with multiple right-hand sides. Zbl 1121.65313
Jbilou, K.; Sadok, H.; Tinzefte, A.
2005
Preconditioning eigensolvers – an Oxymoron? Zbl 1053.65513
Knyazev, Andrew V.
1998
Orthogonality of Jacobi polynomials with general parameters. Zbl 1075.33005
Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R.
2005
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
2010
Simple square smoothing regularization operators. Zbl 1171.65033
Reichel, Lothar; Ye, Qiang
2009
Polynomial eigenvalue problems with Hamiltonian structure. Zbl 1065.65054
Mehrmann, Volker; Watkins, David
2002
General highly accurate algebraic coarsening. Zbl 0951.65096
Brandt, Achi
2000
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
2003
Fast Leja points. Zbl 0912.65004
Baglama, J.; Calvetti, D.; Reichel, L.
1998
A partition of the unit sphere into regions of equal area and small diameter. Zbl 1160.51304
Leopardi, Paul
2006
Preconditioners for saddle point linear systems with highly singular $$(1,1)$$ blocks. Zbl 1112.65042
Greif, Chen; Schötzau, Dominik
2006
Parameter estimation for multivariate exponential sums. Zbl 1305.65093
Potts, Daniel; Tasche, Manfred
2013
On multigrid for linear complementarity problems with application to American-style options. Zbl 1031.65072
Oosterlee, C. W.
2003
The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049
Gautschi, Walter
2002
An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295
Calvo, Juan G.; Widlund, Olof B.
2016
On error estimation in the conjugate gradient method and why it works in finite precision computations. Zbl 1026.65027
Strakoš, Zdeněk; Tichý, Petr
2002
Parallel, synchronous and asynchronous two-stage multisplitting methods. Zbl 0856.65024
Bru, Rafael; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
1995
A comparison of adaptive coarse spaces for iterative substructuring in two dimensions. Zbl 1338.65084
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
2016
Parameter-robust stability of classical three-field formulation of Biot’s consolidation model. Zbl 1398.65046
Hong, Qingguo; Kraus, Johannes
2018
Low-rank solvers for fractional differential equations. Zbl 1338.65071
Breiten, Tobias; Simoncini, Valeria; Stoll, Martin
2016
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.
2006
$$L$$-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041
Calvetti, D.; Hansen, P. C.; Reichel, L.
2002
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.
1995
A two-level discretization method for the stationary MHD equations. Zbl 0898.76059
Layton, W. J.; Meir, A. J.; Schmidt, P. G.
1997
Krylov subspace acceleration for nonlinear multigrid schemes. Zbl 0903.65096
Washio, T.; Oosterlee, C. W.
1997
On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian. Zbl 1190.65050
Erlangga, Yogi A.; Nabben, Reinhard
2008
Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 1186.65134
Klein, Christian
2008
Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations. Zbl 1312.65068
Benner, Peter; Kürschner, Patrick; Saak, Jens
2014
A survey and comparison of contemporary algorithms for computing the matrix geometric mean. Zbl 1287.65036
Jeuris, Ben; Vandebril, Raf; Vandereycken, Bart
2012
On the shifted QR iteration applied to companion matrices. Zbl 1066.65039
Bini, Dario A.; Daddi, Francesco; Gemignani, Luca
2004
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
1998
Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. Zbl 1171.65074
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
2008
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.
2015
Fractal trigonometric approximation. Zbl 1091.42001
Navascues, M. A.
2005
Cross-Gramian based model reduction for data-sparse systems. Zbl 1170.93315
Baur, Ulrike; Benner, Peter
2008
A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413
Haasdonk, B.; Ohlberger, M.; Rozza, G.
2008
Fine structure of the zeros of orthogonal polynomials. I: A tale of two pictures. Zbl 1129.42011
Simon, Barry
2006
Robust rational interpolation and least-squares. Zbl 1293.65017
Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N.
2011
A unified framework for adaptive BDDC. Zbl 1368.65043
Pechstein, Clemens; Dohrmann, Clark R.
2017
Implicit for local effects and explicit for nonlocal effects is unconditionally stable. Zbl 1085.76046
Anitescu, Mihai; Pahlevani, Faranak; Layton, William J.
2004
Proof of a conjecture of Chan, Robbins, and Yuen. Zbl 0941.05006
Zeilberger, Doron
1999
Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Zbl 0889.65112
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.
1997
Multigrid method for $$H\text{(div)}$$ in three dimensions. Zbl 0897.65046
Hiptmair, R.
1997
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.
2013
Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031
Pearson, John W.; Wathen, Andrew J.
2013
Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method. Zbl 0912.65027
1998
An augmented mixed finite element method for linear elasticity with non-homogeneous Dirichlet conditions. Zbl 1170.74049
Gatica, Gabriel N.
2007
Low-rank iterative methods for projected generalized Lyapunov equations. Zbl 1171.65385
Stykel, Tatjana
2008
Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains. Zbl 0815.30008
Eiermann, Michael; Varga, Richard S.
1993
Multigrid preconditioning and Toeplitz matrices. Zbl 1065.65063
Huckle, Thomas; Staudacher, Jochen
2002
Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148
Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian
2010
Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539
Elman, Howard C.; Tuminaro, Ray S.
2009
Block Krylov subspace methods for functions of matrices. Zbl 1372.65138
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B.
2017
Cholesky-like factorizations of skew-symmetric matrices. Zbl 0963.65033
Benner, Peter; Byers, Ralph; Fassbender, Heike; Mehrmann, Volker; Watkins, David
2000
Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems. Zbl 1355.65128
Gander, Martin J.; Kwok, Felix; Mandal, Bankim C.
2016
Stability properties of differential-algebraic equations and Spin-stabilized discretizations. Zbl 1171.65418
Kunkel, Peter; Mehrmann, Volker
2007
Noise propagation in regularizing iterations for image deblurring. Zbl 1171.65032
Hansen, Per Christian; Jensen, Toke Koldborg
2008
A structured staircase algorithm for skew-symmetric/symmetric pencils. Zbl 1113.65065
Byers, Ralph; Mehrmann, Volker; Xu, Hongguo
2007
A posteriori error estimation for the Legendre collocation method applied to integral-algebraic Volterra equations. Zbl 1287.65145
2011
Gauss-Kronrod quadrature formulae. A survey of fifty years of research. Zbl 1355.65045
Notaris, Sotirios E.
2016
Alternative orthogonal polynomials and quadratures. Zbl 1107.33006
2006
Algebraic properties of the block GMRES and block Arnoldi methods. Zbl 1188.65031
Elbouyahyaoui, L.; Messaoudi, A.; Sadok, H.
2009
Comparison between different numerical discretizations for a Darcy-Forchheimer model. Zbl 1185.35193
López, Hilda; Molina, Brígida; Salas, José J.
2009
A BDDC algorithm for flow in porous media with a hybrid finite element discretization. Zbl 1170.76034
Tu, Xuemin
2007
Simpler block GMRES for nonsymmetric systems with multiple right-hand sides. Zbl 1188.65034
Liu, Hualei; Zhong, Baojiang
2008
A BDDC algorithm for a mixed formulation of flow in porous media. Zbl 1160.76368
Tu, Xuemin
2005
Regularization and stabilization of discrete saddle-point variational problems. Zbl 1112.65118
Bochev, P. B.; Lehoucq, R. B.
2006
Parameter-uniform fitted mesh method for singularly perturbed delay differential equations with layer behavior. Zbl 1112.65067
Kadalbajoo, M. K.; Sharma, K. K.
2006
Discretization independent convergence rates for noise level-free parameter choice rules for the regularization of ill-conditioned problems. Zbl 1288.65085
Kindermann, Stefan
2013
Fast solution of boundary integral equations with the generalized Neumann kernel. Zbl 1330.65185
Nasser, Mohamed M. S.
2015
A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039
Hanke, Martin; Hochbruck, Marlis
1993
A note on the efficiency of residual-based a posteriori error estimators for some mixed finite element methods. Zbl 1065.65125
Gatica, Gabriel N.
2004
Uncertainty principles revisited. Zbl 1046.47021
Selig, Kathi K.
2002
Orthonormal polynomial vectors and least squares approximation for a discrete inner product. Zbl 0857.42013
Van Barel, M.; Bultheel, A.
1995
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation. Zbl 1312.65173
Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, J. Markus; Praetorius, Dirk
2015
Trigonometric Gaussian quadrature on subintervals of the period. Zbl 1287.65018
Da Fies, Gaspare; Vianello, Marco
2012
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
2014
Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems. Zbl 1454.65015
Lucero Lorca, José Pablo; Kanschat, Guido
2021
Shifted and extrapolated power methods for tensor $$\ell^p$$-eigenpairs. Zbl 1433.65049
Cipolla, Stefano; Redivo-Zaglia, Michela; Tudisco, Francesco
2020
Coercive space-time finite element methods for initial boundary value problems. Zbl 1436.65144
Steinbach, Olaf; Zank, Marco
2020
A simplified L-curve method as error estimator. Zbl 07176715
Kindermann, Stefan; Raik, Kemal
2020
Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case. Zbl 1434.65032
Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano
2020
Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. Zbl 07192776
Hofmann, Bernd; Plato, Robert
2020
On recurrences converging to the wrong limit in finite precision and some new examples. Zbl 1448.65041
Rump, Siegfried M.
2020
Approximation of weakly singular integral equations by sinc projection methods. Zbl 1450.65181
2020
Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Zbl 1443.65204
Hochbruck, Marlis; Leibold, Jan
2020
Isogeometric analysis for singularly perturbed problems in 1-D: error estimates. Zbl 1434.65243
Christos, Xenophontos; Sykopetritou, Irene
2020
Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach. Zbl 1469.65167
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
2020
Leap-frog method for stochastic functional wave equations. Zbl 1431.60059
Leszczyński, Henryk; Matusik, Milena; Wrzosek, Monika
2020
Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. Zbl 1434.65033
Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano
2020
Transformed rank-1 lattices for high-dimensional approximation. Zbl 1431.65014
Nasdala, Roberts; Potts, Daniel
2020
Fractional Hermite interpolation for non-smooth functions. Zbl 07192769
Zhai, Jiayin; Zhang, Zhiyue; Wang, Tongke
2020
A spectral Newton-Schur algorithm for the solution of symmetric generalized eigenvalue problems. Zbl 1436.65038
Kalantzis, Vassilis
2020
Fung, Samy Wu; Tyrväinen, Sanna; Ruthotto, Lars; Haber, Eldad
2020
A boundary and finite element coupling for a magnetically nonlinear eddy current problem. Zbl 1446.65104
Acevedo, Ramiro; Alvarez, Edgardo; Navia, Paulo
2020
Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. Zbl 1446.65146
Linke, Alexander; Merdon, Christian; Neilan, Michael
2020
A subspace-accelerated split Bregman method for sparse data recovery with joint $$\ell_1$$-type regularizers. Zbl 1451.65074
De Simone, Valentina; Di Serafino, Daniela; Viola, Marco
2020
On pole-swapping algorithms for the eigenvalue problem. Zbl 1456.65025
Camps, Daan; Mach, Thomas; Vandebril, Raf; Watkins, David S.
2020
A frugal FETI-DP and BDDC coarse space for heterogeneous problems. Zbl 1460.65136
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
2020
Block-proximal methods with spatially adapted acceleration. Zbl 1420.49034
Valkonen, Tuomo
2019
A note on parallel preconditioning for all-at-once evolutionary PDEs. Zbl 1422.65232
Wathen, Anthony Goddard Andy
2019
Bouligand-Levenberg-Marquardt iteration for a non-smooth ill-posed inverse problem. Zbl 1431.65078
Clason, Christian; Nhu, Vu Huu
2019
A randomized multivariate matrix pencil method for superresolution microscopy. Zbl 1436.65219
Ehler, Martin; Kunis, Stefan; Peter, Thomas; Richter, Christian
2019
Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh. Zbl 1431.65115
Nhan, Thaì Anh; Vulanović, Relja
2019
Bernstein fractal approximation and fractal full Müntz theorems. Zbl 1423.41004
Nallapu, Vijender
2019
Topological derivative for the nonlinear magnetostatic problem. Zbl 1425.35051
Amstutz, Samuel; Gangl, Peter
2019
Approximate residual-minimizing shift parameters for the low-rank ADI iteration. Zbl 1433.65086
Kürschner, Patrick
2019
On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra. Zbl 1431.65052
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
2019
Augmented GMRES-type versus CGNE methods for the solution of linear ill-posed problems. Zbl 1437.65049
Neubauer, Andreas
2019
Preconditioning the coarse problem of BDDC methods – three-level, algebraic multigrid, and vertex-based preconditioners. Zbl 1447.65122
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Weber, Janine
2019
Perturbation analysis for palindromic and anti-palindromic nonlinear eigenvalue problems. Zbl 1420.65041
2019
Efficient cubature rules. Zbl 1431.65021
van Zandt, James R.
2019
Parameter-robust stability of classical three-field formulation of Biot’s consolidation model. Zbl 1398.65046
Hong, Qingguo; Kraus, Johannes
2018
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
2018
Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems. Zbl 1448.65236
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
2018
The Lanczos algorithm and complex Gauss quadrature. Zbl 06965964
Pozza, Stefano; Pranić, Miroslav S.; Strakoš, Zdeněk
2018
Conformal modulus and planar domains with strong singularities and cusps. Zbl 1415.65064
Hakula, Harri; Rasila, Antti; Vuorinen, Matti
2018
Analysis of the parallel Schwarz method for growing chains of fixed-sized subdomains. III. Zbl 1404.65301
Ciaramella, Gabriele; Gander, Martin J.
2018
Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy. Zbl 06862887
Domschke, Pia; Dua, Aseem; Stolwijk, Jeroen J.; Lang, Jens; Mehrmann, Volker
2018
Numerical analysis of a dual-mixed problem in non-standard Banach spaces. Zbl 1448.65219
Camaño, Jessika; Muñoz, Cristian; Oyarzúa, Ricardo
2018
BDDC and FETI-DP algorithms with a change of basis formulation on adaptive primal constraints. Zbl 1391.65068
Kim, Hyea Hyun; Chung, Eric; Wang, Junxian
2018
Nonlinear BDDC methods with approximate solvers. Zbl 1410.65473
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
2018
The influence of domain truncation on the performance of optimized Schwarz methods. Zbl 1404.65303
Xu, Yingxiang
2018
High-order Legendre collocation method for fractional-order linear semi-explicit differential algebraic equations. Zbl 1410.65291
Ghanbari, F.; Ghanbari, K.; Mokhtary, P.
2018
The extended global Lanczos method for matrix function approximation. Zbl 1408.65018
Bentbib, A. H.; El Ghomari, M.; Jagels, C.; Jbilou, K.; Reichel, L.
2018
Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems. Zbl 1394.35212
Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Toulopoulos, Ioannis
2018
A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations. Zbl 1397.65167
Hassan, Sarah Ali; Japhet, Caroline; Vohralík, Martin
2018
Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices. Zbl 1402.15020
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel
2018
Quadratic spline wavelets with short support satisfying homogeneous boundary conditions. Zbl 06862883
Černá, Dana; Finěk, Václav
2018
Runge-Kutta methods revisited for a class of structured strangeness-free differential-algebraic equations. Zbl 1448.65085
Linh, Vu Hoang; Truong, Nguyen Duy
2018
The use of the generalized sinc-Gaussian sampling for numerically computing eigenvalues of periodic Dirac system. Zbl 1408.30039
Tharwat, Rashad M. Asharabi Mohammed M.
2018
Uniform representations of the incomplete beta function in terms of elementary functions. Zbl 1406.33002
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester
2018
On accelerating the regularized alternating least-squares algorithm for tensors. Zbl 1391.65113
Wang, Xiaofei; Navasca, Carmeliza; Kindermann, Stefan
2018
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh. Zbl 1390.15072
Echeverría, Carlos; Liesen, Jörg; Szyld, Daniel B.; Tichý, Petr
2018
Additive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems. Zbl 1448.65265
Marcinkowski, Leszek; Rahman, Talal
2018
Isogeometric Schwarz preconditioners for the biharmonic problem. Zbl 1448.65260
Cho, D.; Pavarino, L. F.; Scacchi, S.
2018
Additive Schwarz preconditioners for the obstacle problem of clamped Kirchhoff plates. Zbl 1408.65084
Brenner, Susanne C.; Davis, Christopher B.; Sung, Li-Yeng
2018
Polynomial approximation with Pollaczeck-Laguerre weights on the real semiaxis. A survey. Zbl 1406.41002
Mastroianni, Giuseppe; Milovanović, Gradimir V.; Notarangelo, Incoronata
2018
Computation of induced orthogonal polynomial distributions. Zbl 1406.33006
Narayan, Akil
2018
Probability, minimax approximation, and Nash-equilibrium. Estimating the parameter of a biased coin. Zbl 1415.65024
Benko, David; Coroian, Dan; Dragnev, Peter; Orive, Ramón
2018
Convergence of integration-based methods for the solution of standard and generalized Hermitian eigenvalue problems. Zbl 1398.65062
Krämer, Lukas; Lang, Bruno
2018
A conditional gradient method for primal-dual total variation-based image denoising. Zbl 1398.65043
Bentbib, Abdeslem Hafid; Bouhamadi, Abderrahman; Kreit, Karim
2018
A unified framework for adaptive BDDC. Zbl 1368.65043
Pechstein, Clemens; Dohrmann, Clark R.
2017
Block Krylov subspace methods for functions of matrices. Zbl 1372.65138
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B.
2017
Convergence of the cyclic and quasi-cyclic block Jacobi methods. Zbl 1368.65057
Hari, Vjeran; Begović Kovač, Erna
2017
Efficient evaluation of scaled proximal operators. Zbl 1360.90198
Friedlander, Michael P.; Goh, Gabriel
2017
Almost optimal convergence of FEM-FDM for a linear parabolic interface problem. Zbl 1372.65301
2017
The block Hessenberg process for matrix equations. Zbl 1392.65041
2017
Any admissible harmonic Ritz value set is possible for GMRES. Zbl 1372.65107
Du, Kui; Tebbens, Jurjen Duintjer; Meurant, Gérard
2017
Application of the collocation method with B-splines to the GEW equation. Zbl 1357.76058
Zeybek, Halil; Gazi Karakoç, S. Battal
2017
Identifying the magnetic permeability in multi-frequency EM data inversion. Zbl 1372.65118
Deidda, Gian Piero; Díaz de Alba, Patricia; Rodriguez, Giuseppe
2017
Stagnation of block GMRES and its relationship to block FOM. Zbl 1368.65054
Soodhalter, Kirk M.
2017
Enhanced matrix function approximation. Zbl 1392.65019
Eshghi, Nasim; Reichel, Lothar; Spalević, Miodrag M.
2017
The number of zeros of unilateral polynomials over coquaternions and related algebras. Zbl 1368.65069
Janovská, Drahoslava; Opfer, Gerhard
2017
On generalized iterated Tikhonov regularization with operator-dependent seminorms. Zbl 1372.65117
Bianchi, Davide; Donatelli, Marco
2017
Weighted Golub-Kahan-Lanczos bidiagonalization algorithms. Zbl 1392.65101
Xu, Hong-Xiu Zhong Hongguo
2017
Fast evaluation of real and complex exponential sums. Zbl 1355.65187
Kunis, Stefan; Melzer, Ines
2017
Approximating eigenvalues of boundary value problems by using the Hermite-Gauss sampling method. Zbl 1375.65105
2017
Solution of coupled differential equations arising from imbalance problems. Zbl 1422.65123
Niebsch, Jenny; Ramlau, Ronny; Soodhalter, Kirk M.
2017
A BDDC preconditioner for a symmetric interior penalty Galerkin method. Zbl 1368.65230
Brenner, Susanne C.; Park, Eun-Hee; Sung, Li-Yeng
2017
On the approximation of functionals of very large Hermitian matrices represented as matrix product operators. Zbl 1369.65063
August, Moritz; Bañuls, Mari Carmen; Huckle, Thomas
2017
Convergence rates for $$\ell^1$$-regularization without the help of a variational inequality. Zbl 1369.65070
Gerth, Daniel
2017
Topological solvability and DAE-index conditions for mass flow controlled pumps in liquid flow networks. Zbl 1416.65240
Baum, Ann-Kristin; Kolmbauer, Michael; Offner, Günter
2017
A block Lanczos method for the linear response eigenvalue problem. Zbl 1392.65102
Zhang, Zhongming Teng Lei-Hong
2017
An optimal Q-OR Krylov subspace method for solving linear systems. Zbl 1392.65065
Meurant, Gérard
2017
Varying the $$s$$ in your $$s$$-step GMRES. Zbl 1386.65108
Imberti, David; Erhel, Jocelyne
2017
Sparsity-inducing variational shape partitioning. Zbl 1357.78009
Morigi, Serena; Huska, Martin
2017
A block Arnoldi based method for the solution of the Sylvester-observer equation. Zbl 1372.65099
Elbouyahyaoui, L.; Heyouni, M.; Jbilou, K.; Messaoudi, A.
2017
Incremental computation of block triangular matrix exponentials with application to option pricing. Zbl 1371.15007
Kressner, Daniel; Luce, Robert; Statti, Francesco
2017
An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295
Calvo, Juan G.; Widlund, Olof B.
2016
A comparison of adaptive coarse spaces for iterative substructuring in two dimensions. Zbl 1338.65084
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
2016
Low-rank solvers for fractional differential equations. Zbl 1338.65071
Breiten, Tobias; Simoncini, Valeria; Stoll, Martin
2016
Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems. Zbl 1355.65128
Gander, Martin J.; Kwok, Felix; Mandal, Bankim C.
2016
Gauss-Kronrod quadrature formulae. A survey of fifty years of research. Zbl 1355.65045
Notaris, Sotirios E.
2016
A decomposition result for biharmonic problems and the Hellan-Herrmann-Johnson method. Zbl 1347.65169
Krendl, Wolfgang; Rafetseder, Katharina; Zulehner, Walter
2016
Cross-points in domain decomposition methods with a finite element discretization. Zbl 1347.65187
Gander, Martin J.; Santugini, Kévin
2016
Internality of generalized averaged Gauss rules and their truncations for Bernstein-Szegő weights. Zbl 1355.65043
Djukić, D. Lj.; Reichel, L.; Spalević, M. M.; Tomanović, J. D.
2016
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#### Cited by 5,513 Authors

 119 Reichel, Lothar 40 Benner, Peter 37 Gander, Martin Jakob 32 Jbilou, Khalide 31 Gatica, Gabriel N. 29 Huang, Ting-Zhu 26 Simoncini, Valeria 23 Ford, Neville J. 23 Mehrmann, Volker 23 Van Barel, Marc 22 Marcellán Español, Francisco 21 Vandebril, Raf 20 Agarwal, Ravi P. 20 Ma, Changfeng 19 Klawonn, Axel 18 Hochstenbach, Michiel E. 18 Serra-Capizzano, Stefano 17 Brenner, Susanne Cecelia 17 Praetorius, Dirk 17 Wu, Shulin 16 Benzi, Michele 16 Klein, Christian 16 Li, Hengguang 16 Li, Tongxing 16 Oyarzúa, Ricardo 15 Axelsson, Axel Owe Holger 15 Cvetković, Ljiljana 15 Potts, Daniel 15 Rheinbach, Oliver 15 Sadok, Hassane 15 Wang, Yushun 14 Donatelli, Marco 14 Mach, Thomas 14 Pearson, John W. 14 Stoll, Martin 14 Szyld, Daniel B. 14 Vianello, Marco 13 Bentbib, Abdeslem Hafid 13 Bertaccini, Daniele 13 Dehghan Takht Fooladi, Mehdi 13 Neytcheva, Maya G. 13 Rodriguez, Giuseppe 13 Rui, Hongxing 13 Sgallari, Fiorella 13 Zhang, Chenghui 12 Bohner, Martin J. 12 Durastante, Fabio 12 Gazzola, Silvia 12 Gemignani, Luca 12 He, Yinnian 12 Heinlein, Alexander 12 Layton, William J. 12 Morigi, Serena 12 Nasser, Mohamed M. S. 12 Noschese, Silvia 12 Saad, Yousef 12 Wathen, Andrew John 11 Buccini, Alessandro 11 Bultheel, Adhemar François 11 Caliari, Marco 11 Daftardar-Gejji, Varsha 11 Güttel, Stefan 11 Hansen, Olaf 11 Hu, Jun 11 Huang, Yunqing 11 Jia, Zhongxiao 11 Kürschner, Patrick 11 Li, Liang 11 Robol, Leonardo 11 Sleijpen, Gerard L. G. 11 Spalević, Miodrag M. 11 Xu, Xuejun 11 Yan, Yubin 11 Yang, Yidu 11 Zampini, Stefano 10 Atkinson, Kendall Eugene 10 Bai, Zhongzhi 10 Cai, Xiao-Chuan 10 Chand, Arya Kumar Bedabrata 10 Feischl, Michael 10 Gu, Xian-Ming 10 Heyouni, Mohammed 10 Khader, Mohamed M. 10 Kostić, Vladimir R. 10 Li, Rencang 10 Liesen, Jörg 10 Meurant, Gérard A. 10 Mokhtary, Payam 10 Nabben, Reinhard 10 Navascués, María Antonia 10 Neilan, Michael 10 Novati, Paolo 10 Saak, Jens 10 Saker, Samir H. 10 Sommariva, Alvise 10 Voss, Heinrich 10 Widlund, Olof B. 10 Xie, Hehu 9 Băleanu, Dumitru I. 9 Carpentieri, Bruno ...and 5,413 more Authors
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#### Cited in 410 Journals

 410 Journal of Computational and Applied Mathematics 222 SIAM Journal on Scientific Computing 201 Linear Algebra and its Applications 196 Applied Mathematics and Computation 180 Journal of Computational Physics 175 Numerical Algorithms 168 Applied Numerical Mathematics 158 Computers & Mathematics with Applications 129 Journal of Scientific Computing 110 Numerische Mathematik 110 Numerical Linear Algebra with Applications 106 Computer Methods in Applied Mechanics and Engineering 84 Mathematics of Computation 82 BIT 66 SIAM Journal on Matrix Analysis and Applications 60 ETNA. Electronic Transactions on Numerical Analysis 59 SIAM Journal on Numerical Analysis 52 Journal of Mathematical Analysis and Applications 51 Advances in Computational Mathematics 50 Journal of Approximation Theory 40 Calcolo 34 Numerical Methods for Partial Differential Equations 33 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 32 Computational and Applied Mathematics 32 Mathematical Problems in Engineering 31 Abstract and Applied Analysis 30 Applied Mathematics Letters 30 Computational Optimization and Applications 28 Computers and Fluids 28 Inverse Problems 23 Mathematics and Computers in Simulation 22 Engineering Analysis with Boundary Elements 22 Communications in Nonlinear Science and Numerical Simulation 18 Advances in Difference Equations 17 International Journal for Numerical Methods in Engineering 17 Japan Journal of Industrial and Applied Mathematics 17 Computational Methods and Function Theory 16 Nonlinear Dynamics 16 Journal of Applied Mathematics and Computing 15 Journal of Optimization Theory and Applications 14 Mathematical Methods in the Applied Sciences 14 Constructive Approximation 14 Applied and Computational Harmonic Analysis 14 Mediterranean Journal of Mathematics 14 Advances in Applied Mathematics and Mechanics 14 Science China. Mathematics 13 Computer Physics Communications 13 Computational Mechanics 13 Mathematical and Computer Modelling 13 Applied Mathematical Modelling 13 SIAM Review 12 Journal of Mathematical Sciences (New York) 12 Computational Methods in Applied Mathematics 11 Proceedings of the American Mathematical Society 11 Advances in Applied Clifford Algebras 11 Computing and Visualization in Science 11 Foundations of Computational Mathematics 11 Journal of Applied Mathematics 10 Journal of Integral Equations and Applications 10 Journal of Inverse and Ill-Posed Problems 10 Computational Geosciences 9 International Journal for Numerical Methods in Fluids 9 Acta Applicandae Mathematicae 9 Acta Mathematicae Applicatae Sinica. English Series 9 SIAM Journal on Optimization 9 Fractals 9 East Asian Journal on Applied Mathematics 8 Systems & Control Letters 8 Computer Aided Geometric Design 8 Applications of Mathematics 8 Mathematical Programming. Series A. Series B 8 The Journal of Fourier Analysis and Applications 8 ELA. The Electronic Journal of Linear Algebra 8 Vietnam Journal of Mathematics 8 Fractional Calculus & Applied Analysis 8 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Numerical Mathematics 8 Acta Numerica 7 Journal of the Franklin Institute 7 Chaos, Solitons and Fractals 7 Numerical Functional Analysis and Optimization 7 Transactions of the American Mathematical Society 7 Physica D 7 Journal of Inequalities and Applications 7 Archives of Computational Methods in Engineering 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 SIAM Journal on Imaging Sciences 7 SMAI Journal of Computational Mathematics 6 ACM Transactions on Mathematical Software 6 Advances in Mathematics 6 Computing 6 Acta Mathematica Hungarica 6 Journal of Complexity 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Complex Analysis and Operator Theory 5 Communications in Mathematical Physics 5 Journal of Engineering Mathematics 5 Linear and Multilinear Algebra 5 Automatica 5 Journal of Differential Equations ...and 310 more Journals
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#### Cited in 60 Fields

 3,377 Numerical analysis (65-XX) 869 Partial differential equations (35-XX) 539 Linear and multilinear algebra; matrix theory (15-XX) 478 Fluid mechanics (76-XX) 291 Ordinary differential equations (34-XX) 226 Mechanics of deformable solids (74-XX) 225 Approximations and expansions (41-XX) 185 Calculus of variations and optimal control; optimization (49-XX) 171 Special functions (33-XX) 164 Harmonic analysis on Euclidean spaces (42-XX) 158 Operations research, mathematical programming (90-XX) 157 Systems theory; control (93-XX) 140 Operator theory (47-XX) 136 Functions of a complex variable (30-XX) 132 Probability theory and stochastic processes (60-XX) 116 Real functions (26-XX) 114 Integral equations (45-XX) 98 Computer science (68-XX) 96 Information and communication theory, circuits (94-XX) 93 Dynamical systems and ergodic theory (37-XX) 89 Optics, electromagnetic theory (78-XX) 69 Biology and other natural sciences (92-XX) 64 Combinatorics (05-XX) 58 Statistical mechanics, structure of matter (82-XX) 56 Statistics (62-XX) 50 Geophysics (86-XX) 44 Difference and functional equations (39-XX) 44 Quantum theory (81-XX) 42 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Measure and integration (28-XX) 38 Potential theory (31-XX) 38 Functional analysis (46-XX) 36 Number theory (11-XX) 26 Classical thermodynamics, heat transfer (80-XX) 21 Integral transforms, operational calculus (44-XX) 21 Convex and discrete geometry (52-XX) 19 Field theory and polynomials (12-XX) 16 Mechanics of particles and systems (70-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Differential geometry (53-XX) 12 History and biography (01-XX) 11 Sequences, series, summability (40-XX) 9 General and overarching topics; collections (00-XX) 9 Algebraic geometry (14-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Commutative algebra (13-XX) 7 Abstract harmonic analysis (43-XX) 6 Group theory and generalizations (20-XX) 6 General topology (54-XX) 6 Astronomy and astrophysics (85-XX) 5 Topological groups, Lie groups (22-XX) 4 Associative rings and algebras (16-XX) 4 Geometry (51-XX) 4 Algebraic topology (55-XX) 4 Mathematics education (97-XX) 3 Nonassociative rings and algebras (17-XX) 2 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 (73-XX) 1 Relativity and gravitational theory (83-XX)