## 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: 949 Publications (since 1993) References Indexed: 206 Publications with 6,816 References.
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### Latest Issues

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### Authors

 18 Mehrmann, Volker 16 Reichel, Lothar 13 Benner, Peter 13 Vandebril, Raf 12 Klawonn, Axel 11 Varga, Richard Steven 10 Brenner, Susanne Cecelia 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 Serra-Capizzano, Stefano 8 Watkins, David S. 7 Atkinson, Kendall Eugene 7 Gander, Martin Jakob 7 Spalević, Miodrag M. 7 Tichý, Petr 7 Voss, Heinrich 6 Benzi, Michele 6 Calvetti, Daniela 6 Donatelli, Marco 6 Kindermann, Stefan 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 Cai, Xiao-Chuan 5 Chen, Ke 5 Gautschi, Walter 5 Hansen, Per Christian 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 Stoll, Martin 5 Xu, Hongguo 4 Arioli, Mario 4 Asharabi, Rashad M. 4 Bardsley, Johnathan M. 4 Bini, Dario Andrea 4 Brandt, Achi E. 4 Faßbender, Heike 4 Heinlein, Alexander 4 Hochbruck, Marlis 4 Hochstenbach, Michiel E. 4 Huckle, Thomas Kilian 4 Kahl, Karsten 4 Lang, Bruno 4 Lanser, Martin 4 Martínez-Finkelshtein, Andrei 4 Milovanović, Gradimir V. 4 Mokhtary, Payam 4 Orive Rodríguez, Ramón Angel 4 Potts, Daniel 4 Sarkis, Marcus V. 4 Soodhalter, Kirk M. 4 Tu, Xuemin 3 Arvesú, Jorge 3 Aurentz, Jared Lee 3 Baratchart, Laurent 3 Barbarino, Giovanni 3 Bebiano, Natália Isabel Quadros 3 Bochev, Pavel B. 3 Bolten, Matthias 3 Bru, Rafael 3 Bultheel, Adhemar François 3 Dobrowolski, Manfred 3 Dolean, Victorita 3 Erhel, Jocelyne 3 Ferreira, Chelo 3 Fika, Paraskevi 3 Garoni, Carlo 3 Gemignani, Luca 3 Greif, Chen 3 Gutknecht, Martin H. 3 Güttel, Stefan 3 Haase, Gundolf 3 Hakula, Harri 3 Heyouni, Mohammed 3 Hofmann, Bernd 3 Hu, Jonathan J. 3 Hwang, Fengnan 3 Junghanns, Peter 3 Kressner, Daniel 3 Kunis, Stefan 3 Lambers, James V. ...and 1,239 more Authors
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### Fields

 791 Numerical analysis (65-XX) 170 Partial differential equations (35-XX) 147 Linear and multilinear algebra; matrix theory (15-XX) 97 Approximations and expansions (41-XX) 67 Special functions (33-XX) 64 Fluid mechanics (76-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 49 Functions of a complex variable (30-XX) 40 Operator theory (47-XX) 35 Ordinary differential equations (34-XX) 35 Computer science (68-XX) 31 Integral equations (45-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 26 Probability theory and stochastic processes (60-XX) 26 Mechanics of deformable solids (74-XX) 26 Operations research, mathematical programming (90-XX) 22 Systems theory; control (93-XX) 21 Information and communication theory, circuits (94-XX) 17 Combinatorics (05-XX) 16 General and overarching topics; collections (00-XX) 14 Number theory (11-XX) 14 Biology and other natural sciences (92-XX) 13 Real functions (26-XX) 13 Potential theory (31-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Optics, electromagnetic theory (78-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 Difference and functional equations (39-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistics (62-XX) 5 Measure and integration (28-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)

### Citations contained in zbMATH Open

733 Publications have been cited 6,066 times in 5,052 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
Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations. Zbl 1170.76024
Galvis, Juan; Sarkis, Marcus
2007
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
Schwarz methods over the course of time. Zbl 1171.65020
Gander, Martin J.
2008
Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems. Zbl 1287.65043
Kindermann, Stefan
2011
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
On Krylov projection methods and Tikhonov regularization. Zbl 1312.65065
Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria
2015
A block version of BiCGSTAB for linear systems with multiple right-hand sides. Zbl 1065.65052
el Guennouni, A.; Jbilou, K.; Sadok, H.
2003
An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030
Calvetti, D.; Reichel, L.; Sorensen, Danny C.
1994
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
A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077
Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng
2008
An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation. Zbl 1171.65035
Heyouni, M.; Jbilou, K.
2009
Decay bounds and $$O(n)$$ algorithms for approximating functions of sparse matrices. Zbl 1171.65034
2007
Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065
Wathen, Andy; Rees, Tyrone
2009
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092
Schmelzer, Thomas; Trefethen, Lloyd N.
2007
Wave-ray multigrid method for standing wave equations. Zbl 0891.65127
Brandt, A.; Livshits, I.
1997
A new Geršgorin-type eigenvalue inclusion set. Zbl 1069.15016
Cvetkovic, Ljiljana; Kostic, Vladimir; Varga, Richard S.
2004
Continuous $$\Theta$$-methods for the stochastic pantograph equation. Zbl 0968.65004
Baker, Christopher T. H.; Buckwar, Evelyn
2000
A weighted-GCV method for Lanczos-hybrid regularization. Zbl 1171.65029
Chung, Julianne; Nagy, James G.; O’Leary, Dianne P.
2008
Oblique projection methods for linear systems with multiple right-hand sides. Zbl 1121.65313
Jbilou, K.; Sadok, H.; Tinzefte, A.
2005
Polynomial eigenvalue problems with Hamiltonian structure. Zbl 1065.65054
Mehrmann, Volker; Watkins, David
2002
Parameter-robust stability of classical three-field formulation of Biot’s consolidation model. Zbl 1398.65046
Hong, Qingguo; Kraus, Johannes
2018
Orthogonality of Jacobi polynomials with general parameters. Zbl 1075.33005
Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R.
2005
Low-rank solvers for fractional differential equations. Zbl 1338.65071
Breiten, Tobias; Simoncini, Valeria; Stoll, Martin
2016
Preconditioning eigensolvers – an Oxymoron? Zbl 1053.65513
Knyazev, Andrew V.
1998
On multigrid for linear complementarity problems with application to American-style options. Zbl 1031.65072
Oosterlee, C. W.
2003
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
Fast Leja points. Zbl 0912.65004
Baglama, J.; Calvetti, D.; Reichel, L.
1998
Parameter estimation for multivariate exponential sums. Zbl 1305.65093
Potts, Daniel; Tasche, Manfred
2013
Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 1186.65134
Klein, Christian
2008
Simple square smoothing regularization operators. Zbl 1171.65033
Reichel, Lothar; Ye, Qiang
2009
General highly accurate algebraic coarsening. Zbl 0951.65096
Brandt, Achi
2000
An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295
Calvo, Juan G.; Widlund, Olof B.
2016
Preconditioners for saddle point linear systems with highly singular $$(1,1)$$ blocks. Zbl 1112.65042
Greif, Chen; Schötzau, Dominik
2006
A partition of the unit sphere into regions of equal area and small diameter. Zbl 1160.51304
Leopardi, Paul
2006
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
On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian. Zbl 1190.65050
Erlangga, Yogi A.; Nabben, Reinhard
2008
On error estimation in the conjugate gradient method and why it works in finite precision computations. Zbl 1026.65027
Strakoš, Zdeněk; Tichý, Petr
2002
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
$$L$$-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041
Calvetti, D.; Hansen, P. C.; Reichel, L.
2002
The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049
Gautschi, Walter
2002
A comparison of adaptive coarse spaces for iterative substructuring in two dimensions. Zbl 1338.65084
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
2016
A survey and comparison of contemporary algorithms for computing the matrix geometric mean. Zbl 1287.65036
Jeuris, Ben; Vandebril, Raf; Vandereycken, Bart
2012
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
Cross-Gramian based model reduction for data-sparse systems. Zbl 1170.93315
Baur, Ulrike; Benner, Peter
2008
Fractal trigonometric approximation. Zbl 1091.42001
Navascues, M. A.
2005
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
Parallel, synchronous and asynchronous two-stage multisplitting methods. Zbl 0856.65024
Bru, Rafael; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
1995
Alternative orthogonal polynomials and quadratures. Zbl 1107.33006
2006
A unified framework for adaptive BDDC. Zbl 1368.65043
Pechstein, Clemens; Dohrmann, Clark R.
2017
Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. Zbl 1171.65074
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
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.
1995
Robust rational interpolation and least-squares. Zbl 1293.65017
Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N.
2011
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
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
Proof of a conjecture of Chan, Robbins, and Yuen. Zbl 0941.05006
Zeilberger, Doron
1999
Gauss-Kronrod quadrature formulae. A survey of fifty years of research. Zbl 1355.65045
Notaris, Sotirios E.
2016
Low-rank iterative methods for projected generalized Lyapunov equations. Zbl 1171.65385
Stykel, Tatjana
2008
A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413
Haasdonk, B.; Ohlberger, M.; Rozza, G.
2008
Implicit for local effects and explicit for nonlocal effects is unconditionally stable. Zbl 1085.76046
Anitescu, Mihai; Pahlevani, Faranak; Layton, William J.
2004
Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539
Elman, Howard C.; Tuminaro, Ray S.
2009
On the shifted QR iteration applied to companion matrices. Zbl 1066.65039
Bini, Dario A.; Daddi, Francesco; Gemignani, Luca
2004
Multigrid method for $$H\text{(div)}$$ in three dimensions. Zbl 0897.65046
Hiptmair, R.
1997
Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031
Pearson, John W.; Wathen, Andrew J.
2013
An augmented mixed finite element method for linear elasticity with non-homogeneous Dirichlet conditions. Zbl 1170.74049
Gatica, Gabriel N.
2007
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
Fine structure of the zeros of orthogonal polynomials. I: A tale of two pictures. Zbl 1129.42011
Simon, Barry
2006
Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method. Zbl 0912.65027
1998
Block Krylov subspace methods for functions of matrices. Zbl 1372.65138
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B.
2017
Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems. Zbl 1355.65128
Gander, Martin J.; Kwok, Felix; Mandal, Bankim C.
2016
Fast solution of boundary integral equations with the generalized Neumann kernel. Zbl 1330.65185
Nasser, Mohamed M. S.
2015
Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148
Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian
2010
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
Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains. Zbl 0815.30008
Eiermann, Michael; Varga, Richard S.
1993
Stability properties of differential-algebraic equations and Spin-stabilized discretizations. Zbl 1171.65418
Kunkel, Peter; Mehrmann, Volker
2007
Comparison between different numerical discretizations for a Darcy-Forchheimer model. Zbl 1185.35193
López, Hilda; Molina, Brígida; Salas, José J.
2009
Multigrid preconditioning and Toeplitz matrices. Zbl 1065.65063
Huckle, Thomas; Staudacher, Jochen
2002
A structured staircase algorithm for skew-symmetric/symmetric pencils. Zbl 1113.65065
Byers, Ralph; Mehrmann, Volker; Xu, Hongguo
2007
Cholesky-like factorizations of skew-symmetric matrices. Zbl 0963.65033
Benner, Peter; Byers, Ralph; Fassbender, Heike; Mehrmann, Volker; Watkins, David
2000
A posteriori error estimation for the Legendre collocation method applied to integral-algebraic Volterra equations. Zbl 1287.65145
2011
Simpler block GMRES for nonsymmetric systems with multiple right-hand sides. Zbl 1188.65034
Liu, Hualei; Zhong, Baojiang
2008
Noise propagation in regularizing iterations for image deblurring. Zbl 1171.65032
Hansen, Per Christian; Jensen, Toke Koldborg
2008
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
A BDDC algorithm for a mixed formulation of flow in porous media. Zbl 1160.76368
Tu, Xuemin
2005
Analysis of the linearly implicit mid-point rule for differential- algebraic equations. Zbl 0809.65083
Schneider, Claus
1993
A BDDC algorithm for flow in porous media with a hybrid finite element discretization. Zbl 1170.76034
Tu, Xuemin
2007
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
A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids. Zbl 1312.65135
Gowrisankar, S.; Natesan, Srinivasan
2014
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
Two-level nonlinear elimination based preconditioners for inexact Newton methods with application in shocked duct flow calculation. Zbl 1205.65180
Hwang, Feng-Nan; Lin, Hsin-Lun; Cai, Xiao-Chuan
2010
Parameter-uniform fitted mesh method for singularly perturbed delay differential equations with layer behavior. Zbl 1112.65067
Kadalbajoo, M. K.; Sharma, K. K.
2006
Cross-points in domain decomposition methods with a finite element discretization. Zbl 1347.65187
Gander, Martin J.; Santugini, Kévin
2016
Trigonometric Gaussian quadrature on subintervals of the period. Zbl 1287.65018
Da Fies, Gaspare; Vianello, Marco
2012
A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039
Hanke, Martin; Hochbruck, Marlis
1993
Algebraic properties of the block GMRES and block Arnoldi methods. Zbl 1188.65031
Elbouyahyaoui, L.; Messaoudi, A.; Sadok, H.
2009
Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. Zbl 1478.65139
Bootland, Niall; Dolean, Victorita; Kyriakis, Alexander; Pestana, Jennifer
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
2022
A deep learning based nonlinear upscaling method for transport equations. Zbl 1487.65191
Yeung, Tak Shing Au; Chung, Eric T.; See, Simon
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 07538268
Hofmann, Bernd; Mathé, Peter
2022
Analysis of the CCFD method for MC-based image denoising problems. Zbl 07311976
Fairag, Faisal; Chen, Ke; Ahmad, Shahbaz
2021
Pseudo-linear convergence of an additive Schwarz method for dual total variation minimization. Zbl 1473.65342
Park, Jongho
2021
Multigrid reduction in time with Richardson extrapolation. Zbl 1473.65158
Falgout, R. D.; Manteuffel, T. A.; O&rsquo;Neill, B.; Schroder, J. B.
2021
An augmented wavelet reconstructor for atmospheric tomography. Zbl 1462.85002
2021
Volterra integral equations with highly oscillatory kernels: a new numerical method with applications. Zbl 1464.65288
Fermo, Luisa; van der Mee, Cornelis
2021
On the solution of the nonsymmetric T-Riccati equation. Zbl 1459.15015
Benner, Peter; Palitta, Davide
2021
Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems. Zbl 1454.65015
Lucero Lorca, José Pablo; Kanschat, Guido
2021
New fractional pseudospectral methods with accurate convergence rates for fractional differential equations. Zbl 1459.65124
Erfani, Shervan; Babolian, Esmail; Javadi, Shahnam
2021
Additive Schwarz preconditioners for a localized orthogonal decomposition method. Zbl 1473.65337
Brenner, Susanne C.; Garay, José C.; Sung, Li-Yeng
2021
Modified filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator. Zbl 1464.65026
Majidian, Hassan
2021
A mixed collocation scheme for solving second kind Fredholm integral equations in $$[-1,1]$$. Zbl 1470.65216
Occorsio, Donatella; Russo, Maria Grazia
2021
Conformal moduli of symmetric circular quadrilaterals with cusps. Zbl 1470.65039
Hakula, Harri; Nasyrov, Semen; Vuorinen, Matti
2021
A stable matrix version of the fast multipole method: stabilization strategies and examples. Zbl 1475.65026
Cai, Difeng; Xia, Jianlin
2021
Coercive space-time finite element methods for initial boundary value problems. Zbl 1436.65144
Steinbach, Olaf; Zank, Marco
2020
Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case. Zbl 1434.65032
Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano
2020
A simplified L-curve method as error estimator. Zbl 1475.65024
Kindermann, Stefan; Raik, Kemal
2020
Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. Zbl 1434.65033
Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano
2020
Shifted and extrapolated power methods for tensor $$\ell^p$$-eigenpairs. Zbl 1433.65049
Cipolla, Stefano; Redivo-Zaglia, Michela; Tudisco, Francesco
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
Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. Zbl 07192776
Hofmann, Bernd; Plato, Robert
2020
Fung, Samy Wu; Tyrväinen, Sanna; Ruthotto, Lars; Haber, Eldad
2020
A frugal FETI-DP and BDDC coarse space for heterogeneous problems. Zbl 1460.65136
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
2020
Isogeometric analysis for singularly perturbed problems in 1-D: error estimates. Zbl 1434.65243
Christos, Xenophontos; Sykopetritou, Irene
2020
Fractional Hermite interpolation for non-smooth functions. Zbl 07192769
Zhai, Jiayin; Zhang, Zhiyue; Wang, Tongke
2020
Residual whiteness principle for parameter-free image restoration. Zbl 1455.94027
Lanza, Alessandro; Pragliola, Monica; Sgallari, Fiorella
2020
Finite difference schemes for an axisymmetric nonlinear heat equation with blow-up. Zbl 1443.65117
Cho, Chien-Hong; Okamoto, Hisashi
2020
Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Zbl 1443.65204
Hochbruck, Marlis; Leibold, Jan
2020
Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. Zbl 1446.65146
Linke, Alexander; Merdon, Christian; Neilan, Michael
2020
On pole-swapping algorithms for the eigenvalue problem. Zbl 1456.65025
Camps, Daan; Mach, Thomas; Vandebril, Raf; Watkins, David S.
2020
A block $$J$$-Lanczos method for Hamiltonian matrices. Zbl 1431.65040
Archid, Atika; Bentbib, Abdeslem Hafid; Agoujil, Said
2020
Leap-frog method for stochastic functional wave equations. Zbl 1431.60059
Leszczyński, Henryk; Matusik, Milena; Wrzosek, Monika
2020
The swallowtail integral in the highly oscillatory region. II. Zbl 1437.33021
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester
2020
Transformed rank-1 lattices for high-dimensional approximation. Zbl 1431.65014
Nasdala, Roberts; Potts, Daniel
2020
A spectral Newton-Schur algorithm for the solution of symmetric generalized eigenvalue problems. Zbl 1436.65038
Kalantzis, Vassilis
2020
A multigrid frame based method for image deblurring. Zbl 1455.94009
Buccini, Alessandro; Donatelli, Marco
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
The minimal-norm Gauss-Newton method and some of its regularized variants. Zbl 1448.65030
Pes, Federica; Rodriguez, Giuseppe
2020
A boundary and finite element coupling for a magnetically nonlinear eddy current problem. Zbl 1446.65104
Acevedo, Ramiro; Alvarez, Edgardo; Navia, Paulo
2020
Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. Zbl 1450.33007
Gil, A.; Segura, J.; Temme, N. M.
2020
Chebyshev spectral collocation in space and time for the heat equation. Zbl 1446.65130
Lui, S. H.; Nataj, Sarah
2020
Error analysis for regularized multidimensional sampling expansions. Zbl 1458.94182
Asharabi, Rashad M.; Al-Abbas, Fatemah M.
2020
Optimized surface parameterizations with applications to Chinese virtual broadcasting. Zbl 07267851
Yueh, Mei-Heng; Huang, Hsiao-Han; Li, Tiexiang; Lin, Wen-Wei; Yau, Shing-Tung
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
Analysis of Krylov subspace approximation to large-scale differential Riccati equations. Zbl 1456.65019
Antti, Koskela; Mena, Hermann
2020
Analysis of BDDC algorithms for Stokes problems with hybridizable discontinuous Galerkin discretizations. Zbl 1456.65024
Tu, Xuemin; Wang, Bin; Zhang, Jinjin
2020
Mathematical and numerical analysis of an acid-mediated cancer invasion model with nonlinear diffusion. Zbl 1458.35431
Shangerganesh, L.; Manimaran, J.
2020
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
Bernstein fractal approximation and fractal full Müntz theorems. Zbl 1423.41004
Nallapu, Vijender
2019
Block-proximal methods with spatially adapted acceleration. Zbl 1420.49034
Valkonen, Tuomo
2019
Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh. Zbl 1431.65115
Nhan, Thaì Anh; Vulanović, Relja
2019
Topological derivative for the nonlinear magnetostatic problem. Zbl 1425.35051
Amstutz, Samuel; Gangl, Peter
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
Biorthogonal rational Krylov subspace methods. Zbl 1433.65058
van Buggenhout, Niel; van Barel, Marc; Vandebril, Raf
2019
A randomized multivariate matrix pencil method for superresolution microscopy. Zbl 1436.65219
Ehler, Martin; Kunis, Stefan; Peter, Thomas; Richter, Christian
2019
Augmented GMRES-type versus CGNE methods for the solution of linear ill-posed problems. Zbl 1437.65049
Neubauer, Andreas
2019
Approximate residual-minimizing shift parameters for the low-rank ADI iteration. Zbl 1433.65086
Kürschner, Patrick
2019
Preconditioned gradient iterations for the eigenproblem of definite matrix pairs. Zbl 1431.65046
Pandur, Marija Miloloža
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
Preconditioned global Krylov subspace methods for solving saddle point problems with multiple right-hand sides. Zbl 1431.65028
2019
Numerical treatment of singularly perturbed fourth-order two-parameter problems. Zbl 1420.65079
Brdar, Mirjana; Franz, Sebastian; Roos, Hans-Görg
2019
Simultaneous identification of volatility and interest rate functions – a two-parameter regularization approach. Zbl 07099939
Hofmann, Christopher; Hofmann, Bernd; Pichler, Alois
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
Numerical analysis of a dual-mixed problem in non-standard Banach spaces. Zbl 1448.65219
Camaño, Jessika; Muñoz, Cristian; Oyarzúa, Ricardo
2018
Analysis of the parallel Schwarz method for growing chains of fixed-sized subdomains. III. Zbl 1404.65301
Ciaramella, Gabriele; Gander, Martin J.
2018
The Lanczos algorithm and complex Gauss quadrature. Zbl 06965964
Pozza, Stefano; Pranić, Miroslav S.; Strakoš, Zdeněk
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
Conformal modulus and planar domains with strong singularities and cusps. Zbl 1415.65064
Hakula, Harri; Rasila, Antti; Vuorinen, Matti
2018
Nonlinear BDDC methods with approximate solvers. Zbl 1410.65473
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
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
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
Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices. Zbl 1402.15020
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel
2018
The influence of domain truncation on the performance of optimized Schwarz methods. Zbl 1404.65303
Xu, Yingxiang
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
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
Uniform representations of the incomplete beta function in terms of elementary functions. Zbl 1406.33002
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester
2018
Quadratic spline wavelets with short support satisfying homogeneous boundary conditions. Zbl 06862883
Černá, Dana; Finěk, Václav
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
Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems. Zbl 1394.35212
Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Toulopoulos, Ioannis
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
On accelerating the regularized alternating least-squares algorithm for tensors. Zbl 1391.65113
Wang, Xiaofei; Navasca, Carmeliza; Kindermann, Stefan
2018
A conditional gradient method for primal-dual total variation-based image denoising. Zbl 1398.65043
Bentbib, Abdeslem Hafid; Bouhamadi, Abderrahman; Kreit, Karim
2018
The use of the generalized sinc-Gaussian sampling for numerically computing eigenvalues of periodic Dirac system. Zbl 1408.30039
Asharabi, Rashad M.; Tharwat, Mohammed M.
2018
Isogeometric Schwarz preconditioners for the biharmonic problem. Zbl 1448.65260
Cho, D.; Pavarino, L. F.; Scacchi, S.
2018
Convergence of integration-based methods for the solution of standard and generalized Hermitian eigenvalue problems. Zbl 1398.65062
Krämer, Lukas; Lang, Bruno
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
A unified framework for adaptive BDDC. Zbl 1368.65043
Pechstein, Clemens; Dohrmann, Clark R.
2017
...and 633 more Documents
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### Cited by 6,251 Authors

 130 Reichel, Lothar 41 Benner, Peter 39 Gander, Martin Jakob 39 Jbilou, Khalide 34 Gatica, Gabriel N. 29 Huang, Ting-Zhu 27 Simoncini, Valeria 25 Mehrmann, Volker 24 Ford, Neville J. 24 Van Barel, Marc 23 Klawonn, Axel 23 Marcellán Español, Francisco 22 Serra-Capizzano, Stefano 22 Vandebril, Raf 22 Wu, Shulin 21 Ma, Changfeng 20 Agarwal, Ravi P. 19 Axelsson, Axel Owe Holger 19 Hochstenbach, Michiel E. 19 Klein, Christian 19 Praetorius, Dirk 18 Benzi, Michele 18 Brenner, Susanne Cecelia 18 Oyarzúa, Ricardo 18 Rheinbach, Oliver 18 Wang, Yushun 17 Bentbib, Abdeslem Hafid 17 Stoll, Martin 16 Donatelli, Marco 16 Li, Hengguang 16 Li, Tongxing 16 Rodriguez, Giuseppe 16 Vianello, Marco 15 Buccini, Alessandro 15 Cvetković, Ljiljana 15 Dehghan Takht Fooladi, Mehdi 15 Nasser, Mohamed M. S. 15 Pearson, John W. 15 Potts, Daniel 15 Sgallari, Fiorella 15 Spalević, Miodrag M. 15 Szyld, Daniel B. 14 Bertaccini, Daniele 14 Chand, Arya Kumar Bedabrata 14 Durastante, Fabio 14 Gazzola, Silvia 14 Heinlein, Alexander 14 Hu, Jun 14 Mach, Thomas 14 Neytcheva, Maya G. 14 Rui, Hongxing 14 Wathen, Andrew John 14 Yang, Yidu 13 Gemignani, Luca 13 He, Yinnian 13 Navascués, María Antonia 13 Noschese, Silvia 13 Saad, Yousef 13 Sadok, Hassane 13 Zhang, Chenghui 12 Bohner, Martin J. 12 Huang, Yunqing 12 Kürschner, Patrick 12 Layton, William J. 12 Morigi, Serena 12 Sommariva, Alvise 12 Toutounian, Faezeh 12 Widlund, Olof B. 12 Yan, Yubin 12 Zampini, Stefano 11 Băleanu, Dumitru I. 11 Bultheel, Adhemar François 11 Cai, Xiao-Chuan 11 Caliari, Marco 11 Carpentieri, Bruno 11 Daftardar-Gejji, Varsha 11 Gu, Xian-Ming 11 Güttel, Stefan 11 Hansen, Olaf 11 He, Xiaoming 11 Heyouni, Mohammed 11 Jia, Zhongxiao 11 Khader, Mohamed M. 11 Li, Liang 11 Liesen, Jörg 11 MacLachlan, Scott P. 11 Meurant, Gérard A. 11 Nabben, Reinhard 11 Nagy, James Gerard 11 Robol, Leonardo 11 Sleijpen, Gerard L. G. 11 Voss, Heinrich 11 Vuorinen, Matti Keijo Kustaa 11 Xie, Hehu 11 Xu, Xuejun 11 Yotov, Ivan 10 Atkinson, Kendall Eugene 10 Bai, Zhongzhi 10 Castelletto, Nicola 10 Chung, Tsz Shun Eric ...and 6,151 more Authors
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### Cited in 464 Journals

 431 Journal of Computational and Applied Mathematics 255 SIAM Journal on Scientific Computing 212 Applied Mathematics and Computation 208 Linear Algebra and its Applications 206 Journal of Computational Physics 202 Numerical Algorithms 182 Applied Numerical Mathematics 178 Computers & Mathematics with Applications 150 Journal of Scientific Computing 122 Computer Methods in Applied Mechanics and Engineering 118 Numerische Mathematik 110 Numerical Linear Algebra with Applications 89 Mathematics of Computation 89 BIT 82 SIAM Journal on Matrix Analysis and Applications 78 ETNA. Electronic Transactions on Numerical Analysis 67 SIAM Journal on Numerical Analysis 59 Advances in Computational Mathematics 56 Journal of Mathematical Analysis and Applications 50 Journal of Approximation Theory 49 Computational and Applied Mathematics 43 Calcolo 40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 35 Applied Mathematics Letters 34 Numerical Methods for Partial Differential Equations 34 Abstract and Applied Analysis 32 Inverse Problems 32 Mathematical Problems in Engineering 31 Mathematics and Computers in Simulation 31 Computational Optimization and Applications 30 Computers and Fluids 28 International Journal of Computer Mathematics 25 Advances in Difference Equations 23 Chaos, Solitons and Fractals 23 Engineering Analysis with Boundary Elements 22 Communications in Nonlinear Science and Numerical Simulation 20 Journal of Applied Mathematics and Computing 19 Japan Journal of Industrial and Applied Mathematics 18 Computational Methods in Applied Mathematics 17 International Journal for Numerical Methods in Engineering 17 Computational Mechanics 17 Computational Methods and Function Theory 16 Nonlinear Dynamics 16 Communications in Computational Physics 16 Advances in Applied Mathematics and Mechanics 16 Science China. Mathematics 15 Journal of Optimization Theory and Applications 15 Applied and Computational Harmonic Analysis 14 Mathematical Methods in the Applied Sciences 14 Constructive Approximation 14 Mediterranean Journal of Mathematics 13 Computer Physics Communications 13 Mathematical and Computer Modelling 13 Applied Mathematical Modelling 13 SIAM Review 13 Fractals 12 Journal of Mathematical Sciences (New York) 12 Advances in Applied Clifford Algebras 12 ELA. The Electronic Journal of Linear Algebra 12 East Asian Journal on Applied Mathematics 11 Proceedings of the American Mathematical Society 11 Computing and Visualization in Science 11 Foundations of Computational Mathematics 11 Journal of Applied Mathematics 10 Acta Applicandae Mathematicae 10 Journal of Integral Equations and Applications 10 SIAM Journal on Optimization 10 Journal of Inverse and Ill-Posed Problems 10 Journal of Inequalities and Applications 10 Computational Geosciences 10 Discrete and Continuous Dynamical Systems. Series B 9 International Journal for Numerical Methods in Fluids 9 Numerical Functional Analysis and Optimization 9 Physica D 9 Acta Mathematicae Applicatae Sinica. English Series 9 Applications of Mathematics 9 Mathematical Programming. Series A. Series B 9 Vietnam Journal of Mathematics 9 Journal of Numerical Mathematics 8 Applicable Analysis 8 Linear and Multilinear Algebra 8 Systems & Control Letters 8 Computer Aided Geometric Design 8 Filomat 8 The Journal of Fourier Analysis and Applications 8 Fractional Calculus & Applied Analysis 8 Acta Numerica 8 Discrete and Continuous Dynamical Systems. Series S 7 Journal of the Franklin Institute 7 Transactions of the American Mathematical Society 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Archives of Computational Methods in Engineering 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Multiscale Modeling & Simulation 7 Inverse Problems and Imaging 7 SIAM Journal on Imaging Sciences 7 Numerical Algebra, Control and Optimization 7 S$$\vec{\text{e}}$$MA Journal 7 International Journal of Applied and Computational Mathematics 7 AIMS Mathematics ...and 364 more Journals
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### Cited in 59 Fields

 3,867 Numerical analysis (65-XX) 1,000 Partial differential equations (35-XX) 615 Linear and multilinear algebra; matrix theory (15-XX) 570 Fluid mechanics (76-XX) 333 Ordinary differential equations (34-XX) 259 Approximations and expansions (41-XX) 258 Mechanics of deformable solids (74-XX) 216 Calculus of variations and optimal control; optimization (49-XX) 197 Special functions (33-XX) 189 Operations research, mathematical programming (90-XX) 181 Harmonic analysis on Euclidean spaces (42-XX) 172 Systems theory; control (93-XX) 169 Operator theory (47-XX) 153 Probability theory and stochastic processes (60-XX) 143 Functions of a complex variable (30-XX) 137 Real functions (26-XX) 132 Integral equations (45-XX) 132 Computer science (68-XX) 113 Information and communication theory, circuits (94-XX) 102 Dynamical systems and ergodic theory (37-XX) 97 Optics, electromagnetic theory (78-XX) 89 Biology and other natural sciences (92-XX) 82 Combinatorics (05-XX) 63 Statistics (62-XX) 63 Statistical mechanics, structure of matter (82-XX) 53 Geophysics (86-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 49 Measure and integration (28-XX) 48 Quantum theory (81-XX) 46 Potential theory (31-XX) 46 Difference and functional equations (39-XX) 42 Functional analysis (46-XX) 41 Number theory (11-XX) 31 Classical thermodynamics, heat transfer (80-XX) 25 Convex and discrete geometry (52-XX) 23 Integral transforms, operational calculus (44-XX) 20 Field theory and polynomials (12-XX) 20 Mechanics of particles and systems (70-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Differential geometry (53-XX) 11 History and biography (01-XX) 11 Sequences, series, summability (40-XX) 10 Algebraic geometry (14-XX) 9 Several complex variables and analytic spaces (32-XX) 9 General topology (54-XX) 8 Abstract harmonic analysis (43-XX) 8 Astronomy and astrophysics (85-XX) 7 General and overarching topics; collections (00-XX) 7 Commutative algebra (13-XX) 6 Group theory and generalizations (20-XX) 5 Associative rings and algebras (16-XX) 5 Topological groups, Lie groups (22-XX) 5 Geometry (51-XX) 5 Mathematics education (97-XX) 4 Algebraic topology (55-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)