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: 962 Publications (since 1993) References Indexed: 219 Publications with 7,297 References. all top 5 Latest Issues 58 (2023) 57 (2022) 56 (2022) 55 (2022) 54 (2021) 53 (2020) 52 (2020) 51 (2019) 50 (2018) 49 (2018) 48 (2018) 47 (2017) 46 (2017) 45 (2016) 44 (2015) 43 (2014/2015) 42 (2014) 41 (2014) 40 (2013) 39 (2012) 38 (2011) 37 (2010) 36 (2009/2010) 35 (2009) 34 (2009) 33 (2009) 34 (2008) 33 (2008) 32 (2008) 31 (2008) 30 (2008) 29 (2008) 28 (2008) 29 (2007) 28 (2007) 27 (2007) 26 (2007) 25 (2006) 24 (2006) 23 (2006) 22 (2006) 21 (2005) 20 (2005) 19 (2005) 18 (2004) 17 (2004) 16 (2003) 15 (2003) 14 (2002) 13 (2002) 12 (2001) 11 (2000) 10 (2000) 9 (1999) 8 (1999) 7 (1998) 6 (1997) 5 (1997) 4 (1996) 3 (1995) 2 (1994) 1 (1993) all top 5 Authors 18 Mehrmann, Volker 16 Reichel, Lothar 13 Benner, Peter 13 Vandebril, Raf 12 Klawonn, Axel 11 Varga, Richard Steven 10 Brenner, Susanne Cecelia 10 Szyld, Daniel B. 9 Ramlau, Ronny 9 Sadok, Hassane 9 Van Barel, Marc 8 Atkinson, Kendall Eugene 8 Frommer, Andreas 8 Jbilou, Khalide 8 Marcellán Español, Francisco 8 Sadkane, Miloud 8 Serra-Capizzano, Stefano 8 Watkins, David S. 7 Gander, Martin Jakob 7 Spalević, Miodrag M. 7 Tichý, Petr 7 Voss, Heinrich 6 Benzi, Michele 6 Calvetti, Daniela 6 Donatelli, Marco 6 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 Faßbender, Heike 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 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 Notay, Yvan 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 Chien, David 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 Hansen, Olaf 3 Heyouni, Mohammed 3 Hofmann, Bernd 3 Hu, Jonathan J. 3 Hwang, Fengnan 3 Junghanns, Peter ...and 1,261 more Authors all top 5 Fields 800 Numerical analysis (65-XX) 174 Partial differential equations (35-XX) 147 Linear and multilinear algebra; matrix theory (15-XX) 99 Approximations and expansions (41-XX) 67 Special functions (33-XX) 64 Fluid mechanics (76-XX) 56 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) 32 Integral equations (45-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Probability theory and stochastic processes (60-XX) 26 Mechanics of deformable solids (74-XX) 26 Operations research, mathematical programming (90-XX) 21 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) 15 Biology and other natural sciences (92-XX) 14 Number theory (11-XX) 14 Real functions (26-XX) 13 Potential theory (31-XX) 13 Optics, electromagnetic theory (78-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Quantum theory (81-XX) 7 Functional analysis (46-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 6 Field theory and polynomials (12-XX) 6 Measure and integration (28-XX) 6 Difference and functional equations (39-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistics (62-XX) 3 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Sequences, series, summability (40-XX) 3 Astronomy and astrophysics (85-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 742 Publications have been cited 6,292 times in 5,171 Documents Cited by ▼ Year ▼ An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071Diethelm, Kai 220 1997 BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum. Zbl 0820.65016Sleijpen, Gerard L. G.; Fokkema, Diederik R. 120 1993 An aggregation-based algebraic multigrid method. Zbl 1206.65133Notay, Yvan 108 2010 Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations. Zbl 1170.76024Galvis, Juan; Sarkis, Marcus 88 2007 Efficient preconditioning for sequences of parametric complex symmetric linear systems. Zbl 1066.65048Bertaccini, Daniele 83 2004 Schwarz methods over the course of time. Zbl 1171.65020Gander, Martin J. 76 2008 On fast factorization pivoting methods for sparse symmetric indefinite systems. Zbl 1112.65022Schenk, Olaf; Gärtner, Klaus 75 2006 Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems. Zbl 1287.65043Kindermann, Stefan 71 2011 Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation. Zbl 0980.65108Chen, Jing-Bo; Qin, Meng-Zhao 67 2001 Asymptotic lower bounds for eigenvalues by nonconforming finite element methods. Zbl 1065.65127Armentano, María G.; Durán, Ricardo G. 56 2004 On Krylov projection methods and Tikhonov regularization. Zbl 1312.65065Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria 51 2015 A block version of BiCGSTAB for linear systems with multiple right-hand sides. Zbl 1065.65052el Guennouni, A.; Jbilou, K.; Sadok, H. 47 2003 An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030Calvetti, D.; Reichel, L.; Sorensen, Danny C. 47 1994 An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation. Zbl 1171.65035Heyouni, M.; Jbilou, K. 47 2009 Chebyshev semi-iteration in preconditioning for problems including the mass matrix. Zbl 1189.65065Wathen, Andy; Rees, Tyrone 45 2009 Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices. Zbl 1171.65034Benzi, Michele; Razouk, Nader 45 2007 Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. Zbl 1177.34047Akin-Bohner, Elvan; Bohner, Martin; Saker, Samir H. 44 2007 A weakly over-penalized symmetric interior penalty method. Zbl 1171.65077Brenner, Susanne C.; Owens, Luke; Sung, Li-Yeng 44 2008 Wave-ray multigrid method for standing wave equations. Zbl 0891.65127Brandt, A.; Livshits, I. 42 1997 Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092Schmelzer, Thomas; Trefethen, Lloyd N. 42 2007 Continuous \(\Theta\)-methods for the stochastic pantograph equation. Zbl 0968.65004Baker, Christopher T. H.; Buckwar, Evelyn 41 2000 A new Geršgorin-type eigenvalue inclusion set. Zbl 1069.15016Cvetkovic, Ljiljana; Kostic, Vladimir; Varga, Richard S. 40 2004 A weighted-GCV method for Lanczos-hybrid regularization. Zbl 1171.65029Chung, Julianne; Nagy, James G.; O’Leary, Dianne P. 40 2008 Oblique projection methods for linear systems with multiple right-hand sides. Zbl 1121.65313Jbilou, K.; Sadok, H.; Tinzefte, A. 38 2005 Parameter-robust stability of classical three-field formulation of Biot’s consolidation model. Zbl 1398.65046Hong, Qingguo; Kraus, Johannes 37 2018 Polynomial eigenvalue problems with Hamiltonian structure. Zbl 1065.65054Mehrmann, Volker; Watkins, David 37 2002 Fast Leja points. Zbl 0912.65004Baglama, J.; Calvetti, D.; Reichel, L. 37 1998 Preconditioning eigensolvers – an Oxymoron? Zbl 1053.65513Knyazev, Andrew V. 33 1998 Low-rank solvers for fractional differential equations. Zbl 1338.65071Breiten, Tobias; Simoncini, Valeria; Stoll, Martin 33 2016 General highly accurate algebraic coarsening. Zbl 0951.65096Brandt, Achi 33 2000 On multigrid for linear complementarity problems with application to American-style options. Zbl 1031.65072Oosterlee, C. W. 33 2003 Orthogonality of Jacobi polynomials with general parameters. Zbl 1075.33005Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R. 33 2005 Parameter estimation for multivariate exponential sums. Zbl 1305.65093Potts, Daniel; Tasche, Manfred 33 2013 Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 1186.65134Klein, Christian 33 2008 Analysis of the finite element method for transmission/mixed boundary value problems on general polygonal domains. Zbl 1205.65317Li, Hengguang; Mazzucato, Anna; Nistor, Victor 33 2010 An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295Calvo, Juan G.; Widlund, Olof B. 32 2016 Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks. Zbl 1112.65042Greif, Chen; Schötzau, Dominik 32 2006 Simple square smoothing regularization operators. Zbl 1171.65033Reichel, Lothar; Ye, Qiang 31 2009 A partition of the unit sphere into regions of equal area and small diameter. Zbl 1160.51304Leopardi, Paul 31 2006 Efficient solution of symmetric eigenvalue problems using multigrid preconditioners in the locally optimal block conjugate gradient method. Zbl 1031.65126Knyazev, Andrew V.; Neymeyr, Klaus 30 2003 A two-level discretization method for the stationary MHD equations. Zbl 0898.76059Layton, W. J.; Meir, A. J.; Schmidt, P. G. 30 1997 On error estimation in the conjugate gradient method and why it works in finite precision computations. Zbl 1026.65027Strakoš, Zdeněk; Tichý, Petr 29 2002 A comparison of adaptive coarse spaces for iterative substructuring in two dimensions. Zbl 1338.65084Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver 29 2016 Krylov subspace acceleration for nonlinear multigrid schemes. Zbl 0903.65096Washio, T.; Oosterlee, C. W. 29 1997 On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian. Zbl 1190.65050Erlangga, Yogi A.; Nabben, Reinhard 29 2008 The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049Gautschi, Walter 28 2002 \(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041Calvetti, D.; Hansen, P. C.; Reichel, L. 28 2002 An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Zbl 1330.65130Ford, N. J.; Morgado, M. L.; Rebelo, M. 28 2015 Fractal trigonometric approximation. Zbl 1091.42001Navascues, M. A. 28 2005 Alternative orthogonal polynomials and quadratures. Zbl 1107.33006Chelyshkov, Vladimir S. 28 2006 A survey and comparison of contemporary algorithms for computing the matrix geometric mean. Zbl 1287.65036Jeuris, Ben; Vandebril, Raf; Vandereycken, Bart 27 2012 Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations. Zbl 1312.65068Benner, Peter; Kürschner, Patrick; Saak, Jens 27 2014 A unified framework for adaptive BDDC. Zbl 1368.65043Pechstein, Clemens; Dohrmann, Clark R. 26 2017 Parallel, synchronous and asynchronous two-stage multisplitting methods. Zbl 0856.65024Bru, Rafael; Migallón, Violeta; Penadés, José; Szyld, Daniel B. 25 1995 Cross-Gramian based model reduction for data-sparse systems. Zbl 1170.93315Baur, Ulrike; Benner, Peter 25 2008 Gauss-Kronrod quadrature formulae. A survey of fifty years of research. Zbl 1355.65045Notaris, Sotirios E. 24 2016 Proof of a conjecture of Chan, Robbins, and Yuen. Zbl 0941.05006Zeilberger, Doron 24 1999 Robust rational interpolation and least-squares. Zbl 1293.65017Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N. 24 2011 First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity. Zbl 0856.76010Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F. 24 1995 Fast iterative solvers for convection-diffusion control problems. Zbl 1287.49031Pearson, John W.; Wathen, Andrew J. 24 2013 Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. Zbl 1171.65074Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz 24 2008 An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions. Zbl 1112.65119Dean, E. J.; Glowinski, R. 24 2006 Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems. Zbl 0912.65026Sleijpen, Gerard L. G.; van der Horst, Henk A.; Meijerbrink, Ellen 23 1998 Low-rank iterative methods for projected generalized Lyapunov equations. Zbl 1171.65385Stykel, Tatjana 23 2008 A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413Haasdonk, B.; Ohlberger, M.; Rozza, G. 23 2008 On the shifted QR iteration applied to companion matrices. Zbl 1066.65039Bini, Dario A.; Daddi, Francesco; Gemignani, Luca 22 2004 Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems. Zbl 1355.65128Gander, Martin J.; Kwok, Felix; Mandal, Bankim C. 22 2016 Implicit for local effects and explicit for nonlocal effects is unconditionally stable. Zbl 1085.76046Anitescu, Mihai; Pahlevani, Faranak; Layton, William J. 22 2004 Multigrid method for \(H\text{(div)}\) in three dimensions. Zbl 0897.65046Hiptmair, R. 22 1997 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539Elman, Howard C.; Tuminaro, Ray S. 22 2009 Fast solution of boundary integral equations with the generalized Neumann kernel. Zbl 1330.65185Nasser, Mohamed M. S. 21 2015 Fine structure of the zeros of orthogonal polynomials. I: A tale of two pictures. Zbl 1129.42011Simon, Barry 21 2006 Block Krylov subspace methods for functions of matrices. Zbl 1372.65138Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B. 21 2017 Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method. Zbl 0912.65027Stathopoulos, Andreas; Saad, Yousef 20 1998 Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Zbl 0889.65112Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F. 20 1997 An augmented mixed finite element method for linear elasticity with non-homogeneous Dirichlet conditions. Zbl 1170.74049Gatica, Gabriel N. 20 2007 Analysis of the linearly implicit mid-point rule for differential- algebraic equations. Zbl 0809.65083Schneider, Claus 19 1993 Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains. Zbl 0815.30008Eiermann, Michael; Varga, Richard S. 19 1993 Comparison between different numerical discretizations for a Darcy-Forchheimer model. Zbl 1185.35193López, Hilda; Molina, Brígida; Salas, José J. 19 2009 Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems. Zbl 1288.65093Du, Xiuhong; Sarkis, Marcus; Schaerer, Christian E.; Szyld, Daniel B. 19 2013 Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian 19 2010 Multigrid preconditioning and Toeplitz matrices. Zbl 1065.65063Huckle, Thomas; Staudacher, Jochen 18 2002 A posteriori error estimation for the Legendre collocation method applied to integral-algebraic Volterra equations. Zbl 1287.65145Pishbin, S.; Ghoreishi, F.; Hadizadeh, M. 18 2011 Trigonometric Gaussian quadrature on subintervals of the period. Zbl 1287.65018Da Fies, Gaspare; Vianello, Marco 18 2012 Cholesky-like factorizations of skew-symmetric matrices. Zbl 0963.65033Benner, Peter; Byers, Ralph; Fassbender, Heike; Mehrmann, Volker; Watkins, David 18 2000 Stability properties of differential-algebraic equations and Spin-stabilized discretizations. Zbl 1171.65418Kunkel, Peter; Mehrmann, Volker 18 2007 Noise propagation in regularizing iterations for image deblurring. Zbl 1171.65032Hansen, Per Christian; Jensen, Toke Koldborg 18 2008 A BDDC algorithm for a mixed formulation of flow in porous media. Zbl 1160.76368Tu, Xuemin 18 2005 Parameter-uniform fitted mesh method for singularly perturbed delay differential equations with layer behavior. Zbl 1112.65067Kadalbajoo, M. K.; Sharma, K. K. 18 2006 A structured staircase algorithm for skew-symmetric/symmetric pencils. Zbl 1113.65065Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 18 2007 A note on the efficiency of residual-based a posteriori error estimators for some mixed finite element methods. Zbl 1065.65125Gatica, Gabriel N. 17 2004 Cross-points in domain decomposition methods with a finite element discretization. Zbl 1347.65187Gander, Martin J.; Santugini, Kévin 17 2016 Retooling the method of block conjugate gradients. Zbl 0985.65021Dubrulle, A. A. 17 2001 A BDDC algorithm for flow in porous media with a hybrid finite element discretization. Zbl 1170.76034Tu, Xuemin 17 2007 Simpler block GMRES for nonsymmetric systems with multiple right-hand sides. Zbl 1188.65034Liu, Hualei; Zhong, Baojiang 17 2008 A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids. Zbl 1312.65135Gowrisankar, S.; Natesan, Srinivasan 17 2014 Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D. Zbl 1448.65263Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver 17 2018 Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation. Zbl 1312.65173Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, J. Markus; Praetorius, Dirk 16 2015 Two-level nonlinear elimination based preconditioners for inexact Newton methods with application in shocked duct flow calculation. Zbl 1205.65180Hwang, Feng-Nan; Lin, Hsin-Lun; Cai, Xiao-Chuan 16 2010 A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039Hanke, Martin; Hochbruck, Marlis 15 1993 Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks. Zbl 1478.92193Grimm, Viktor; Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine 2 2022 Operator inference and physics-informed learning of low-dimensional models for incompressible flows. Zbl 07538257Benner, Peter; Goyal, Pawan; Heiland, Jan; Duff, Igor Pontes 1 2022 A deep learning based nonlinear upscaling method for transport equations. Zbl 1487.65191Yeung, Tak Shing Au; Chung, Eric T.; See, Simon 1 2022 The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator. Zbl 07538268Hofmann, Bernd; Mathé, Peter 1 2022 Analysis of stability and convergence for L-type formulas combined with a spatial finite element method for solving subdiffusion problems. Zbl 1490.65207Ramezani, Mohadese; Mokhtari, Reza; Haase, Gundolf 1 2022 Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. Zbl 1478.65139Bootland, Niall; Dolean, Victorita; Kyriakis, Alexander; Pestana, Jennifer 1 2022 The LSQR method for solving tensor least-squares problems. Zbl 1477.65067Bentbib, Abdeslem H.; Khouia, Asmaa; Sadok, Hassane 1 2022 Volterra integral equations with highly oscillatory kernels: a new numerical method with applications. Zbl 1464.65288Fermo, Luisa; van der Mee, Cornelis 3 2021 Pseudo-linear convergence of an additive Schwarz method for dual total variation minimization. Zbl 1473.65342Park, Jongho 2 2021 Multigrid reduction in time with Richardson extrapolation. Zbl 1473.65158Falgout, R. D.; Manteuffel, T. A.; O’Neill, B.; Schroder, J. B. 2 2021 An augmented wavelet reconstructor for atmospheric tomography. Zbl 1462.85002Ramlau, Ronny; Stadler, Bernadett 2 2021 Modified filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator. Zbl 1464.65026Majidian, Hassan 2 2021 On the solution of the nonsymmetric T-Riccati equation. Zbl 1459.15015Benner, Peter; Palitta, Davide 2 2021 Analysis of the CCFD method for MC-based image denoising problems. Zbl 07311976Fairag, Faisal; Chen, Ke; Ahmad, Shahbaz 2 2021 A stable matrix version of the fast multipole method: stabilization strategies and examples. Zbl 1475.65026Cai, Difeng; Xia, Jianlin 2 2021 Additive Schwarz preconditioners for a localized orthogonal decomposition method. Zbl 1473.65337Brenner, Susanne C.; Garay, José C.; Sung, Li-Yeng 1 2021 Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems. Zbl 1454.65015Lucero Lorca, José Pablo; Kanschat, Guido 1 2021 New fractional pseudospectral methods with accurate convergence rates for fractional differential equations. Zbl 1459.65124Erfani, Shervan; Babolian, Esmail; Javadi, Shahnam 1 2021 A mixed collocation scheme for solving second kind Fredholm integral equations in \([-1,1]\). Zbl 1470.65216Occorsio, Donatella; Russo, Maria Grazia 1 2021 Conformal moduli of symmetric circular quadrilaterals with cusps. Zbl 1470.65039Hakula, Harri; Nasyrov, Semen; Vuorinen, Matti 1 2021 Symbol-based preconditioning for Riesz distributed-order space-fractional diffusion equations. Zbl 1501.65042Mazza, Mariarosa; Serra-Capizzano, Stefano; Usman, Muhammad 1 2021 Coarsening in algebraic multigrid using Gaussian processes. Zbl 07436828Gottschalk, Hanno; Kahl, Karsten 1 2021 Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case. Zbl 1434.65032Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 14 2020 Coercive space-time finite element methods for initial boundary value problems. Zbl 1436.65144Steinbach, Olaf; Zank, Marco 14 2020 A simplified L-curve method as error estimator. Zbl 1475.65024Kindermann, Stefan; Raik, Kemal 12 2020 Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. Zbl 1434.65033Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 10 2020 Shifted and extrapolated power methods for tensor \(\ell^p\)-eigenpairs. Zbl 1433.65049Cipolla, Stefano; Redivo-Zaglia, Michela; Tudisco, Francesco 7 2020 Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. Zbl 07192776Hofmann, Bernd; Plato, Robert 5 2020 Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach. Zbl 1469.65167Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver 4 2020 A frugal FETI-DP and BDDC coarse space for heterogeneous problems. Zbl 1460.65136Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine 3 2020 Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Zbl 1443.65204Hochbruck, Marlis; Leibold, Jan 3 2020 ADMM-softmax: an ADMM approach for multinomial logistic regression. Zbl 07192774Fung, Samy Wu; Tyrväinen, Sanna; Ruthotto, Lars; Haber, Eldad 3 2020 Residual whiteness principle for parameter-free image restoration. Zbl 1455.94027Lanza, Alessandro; Pragliola, Monica; Sgallari, Fiorella 3 2020 Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. Zbl 1446.65146Linke, Alexander; Merdon, Christian; Neilan, Michael 3 2020 A subspace-accelerated split Bregman method for sparse data recovery with joint \(\ell_1\)-type regularizers. Zbl 1451.65074De Simone, Valentina; Di Serafino, Daniela; Viola, Marco 3 2020 On pole-swapping algorithms for the eigenvalue problem. Zbl 1456.65025Camps, Daan; Mach, Thomas; Vandebril, Raf; Watkins, David S. 2 2020 Analysis of BDDC algorithms for Stokes problems with hybridizable discontinuous Galerkin discretizations. Zbl 1456.65024Tu, Xuemin; Wang, Bin; Zhang, Jinjin 2 2020 Finite difference schemes for an axisymmetric nonlinear heat equation with blow-up. Zbl 1443.65117Cho, Chien-Hong; Okamoto, Hisashi 2 2020 Isogeometric analysis for singularly perturbed problems in 1-D: error estimates. Zbl 1434.65243Christos, Xenophontos; Sykopetritou, Irene 2 2020 A block \(J\)-Lanczos method for Hamiltonian matrices. Zbl 1431.65040Archid, Atika; Bentbib, Abdeslem Hafid; Agoujil, Said 2 2020 Transformed rank-1 lattices for high-dimensional approximation. Zbl 1431.65014Nasdala, Roberts; Potts, Daniel 2 2020 Fractional Hermite interpolation for non-smooth functions. Zbl 07192769Zhai, Jiayin; Zhang, Zhiyue; Wang, Tongke 2 2020 Analysis of Krylov subspace approximation to large-scale differential Riccati equations. Zbl 1456.65019Antti, Koskela; Mena, Hermann 1 2020 Mathematical and numerical analysis of an acid-mediated cancer invasion model with nonlinear diffusion. Zbl 1458.35431Shangerganesh, L.; Manimaran, J. 1 2020 On recurrences converging to the wrong limit in finite precision and some new examples. Zbl 1448.65041Rump, Siegfried M. 1 2020 Approximation of weakly singular integral equations by sinc projection methods. Zbl 1450.65181Nedaiasl, Khadijeh 1 2020 The minimal-norm Gauss-Newton method and some of its regularized variants. Zbl 1448.65030Pes, Federica; Rodriguez, Giuseppe 1 2020 Leap-frog method for stochastic functional wave equations. Zbl 1431.60059Leszczyński, Henryk; Matusik, Milena; Wrzosek, Monika 1 2020 The swallowtail integral in the highly oscillatory region. II. Zbl 1437.33021Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 1 2020 A spectral Newton-Schur algorithm for the solution of symmetric generalized eigenvalue problems. Zbl 1436.65038Kalantzis, Vassilis 1 2020 A multigrid frame based method for image deblurring. Zbl 1455.94009Buccini, Alessandro; Donatelli, Marco 1 2020 A boundary and finite element coupling for a magnetically nonlinear eddy current problem. Zbl 1446.65104Acevedo, Ramiro; Alvarez, Edgardo; Navia, Paulo 1 2020 Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. Zbl 1450.33007Gil, A.; Segura, J.; Temme, N. M. 1 2020 Chebyshev spectral collocation in space and time for the heat equation. Zbl 1446.65130Lui, S. H.; Nataj, Sarah 1 2020 Error analysis for regularized multidimensional sampling expansions. Zbl 1458.94182Asharabi, Rashad M.; Al-Abbas, Fatemah M. 1 2020 Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses – survey of recent results. Zbl 1451.65023Djukić, D. Lj.; Djukić, R. M. Mutavdžić; Pejčev, A. V.; Spalević, M. M. 1 2020 Optimized surface parameterizations with applications to Chinese virtual broadcasting. Zbl 1492.65049Yueh, Mei-Heng; Huang, Hsiao-Han; Li, Tiexiang; Lin, Wen-Wei; Yau, Shing-Tung 1 2020 A note on parallel preconditioning for all-at-once evolutionary PDEs. Zbl 1422.65232Wathen, Anthony Goddard Andy 14 2019 Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh. Zbl 1431.65115Nhan, Thaì Anh; Vulanović, Relja 6 2019 Bernstein fractal approximation and fractal full Müntz theorems. Zbl 1423.41004Nallapu, Vijender 5 2019 Block-proximal methods with spatially adapted acceleration. Zbl 1420.49034Valkonen, Tuomo 5 2019 Bouligand-Levenberg-Marquardt iteration for a non-smooth ill-posed inverse problem. Zbl 1431.65078Clason, Christian; Nhu, Vu Huu 5 2019 Topological derivative for the nonlinear magnetostatic problem. Zbl 1425.35051Amstutz, Samuel; Gangl, Peter 4 2019 Biorthogonal rational Krylov subspace methods. Zbl 1433.65058van Buggenhout, Niel; van Barel, Marc; Vandebril, Raf 4 2019 A randomized multivariate matrix pencil method for superresolution microscopy. Zbl 1436.65219Ehler, Martin; Kunis, Stefan; Peter, Thomas; Richter, Christian 3 2019 Preconditioned gradient iterations for the eigenproblem of definite matrix pairs. Zbl 1431.65046Pandur, Marija Miloloža 3 2019 On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra. Zbl 1431.65052Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang 3 2019 Augmented GMRES-type versus CGNE methods for the solution of linear ill-posed problems. Zbl 1437.65049Neubauer, Andreas 3 2019 Perturbation analysis for palindromic and anti-palindromic nonlinear eigenvalue problems. Zbl 1420.65041Ahmad, Sk. Safique 2 2019 Numerical treatment of singularly perturbed fourth-order two-parameter problems. Zbl 1420.65079Brdar, Mirjana; Franz, Sebastian; Roos, Hans-Görg 1 2019 Simultaneous identification of volatility and interest rate functions – a two-parameter regularization approach. Zbl 07099939Hofmann, Christopher; Hofmann, Bernd; Pichler, Alois 1 2019 Efficient cubature rules. Zbl 1431.65021van Zandt, James R. 1 2019 Approximate residual-minimizing shift parameters for the low-rank ADI iteration. Zbl 1433.65086Kürschner, Patrick 1 2019 Preconditioning the coarse problem of BDDC methods – three-level, algebraic multigrid, and vertex-based preconditioners. Zbl 1447.65122Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Weber, Janine 1 2019 Preconditioned global Krylov subspace methods for solving saddle point problems with multiple right-hand sides. Zbl 1431.65028Badahmane, A.; Bentbib, A. H.; Sadok, H. 1 2019 Parameter-robust stability of classical three-field formulation of Biot’s consolidation model. Zbl 1398.65046Hong, Qingguo; Kraus, Johannes 37 2018 Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D. Zbl 1448.65263Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver 17 2018 Numerical analysis of a dual-mixed problem in non-standard Banach spaces. Zbl 1448.65219Camaño, Jessika; Muñoz, Cristian; Oyarzúa, Ricardo 12 2018 Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems. Zbl 1448.65236Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver 10 2018 Analysis of the parallel Schwarz method for growing chains of fixed-sized subdomains. III. Zbl 1404.65301Ciaramella, Gabriele; Gander, Martin J. 8 2018 The Lanczos algorithm and complex Gauss quadrature. Zbl 06965964Pozza, Stefano; Pranić, Miroslav S.; Strakoš, Zdeněk 8 2018 Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy. Zbl 06862887Domschke, Pia; Dua, Aseem; Stolwijk, Jeroen J.; Lang, Jens; Mehrmann, Volker 8 2018 Conformal modulus and planar domains with strong singularities and cusps. Zbl 1415.65064Hakula, Harri; Rasila, Antti; Vuorinen, Matti 7 2018 Nonlinear BDDC methods with approximate solvers. Zbl 1410.65473Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver 7 2018 BDDC and FETI-DP algorithms with a change of basis formulation on adaptive primal constraints. Zbl 1391.65068Kim, Hyea Hyun; Chung, Eric; Wang, Junxian 6 2018 The extended global Lanczos method for matrix function approximation. Zbl 1408.65018Bentbib, A. H.; El Ghomari, M.; Jagels, C.; Jbilou, K.; Reichel, L. 6 2018 Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices. Zbl 1402.15020Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel 5 2018 The influence of domain truncation on the performance of optimized Schwarz methods. Zbl 1404.65303Xu, Yingxiang 5 2018 Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems. Zbl 1394.35212Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Toulopoulos, Ioannis 4 2018 A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations. Zbl 1397.65167Hassan, Sarah Ali; Japhet, Caroline; Vohralík, Martin 4 2018 Runge-Kutta methods revisited for a class of structured strangeness-free differential-algebraic equations. Zbl 1448.65085Linh, Vu Hoang; Truong, Nguyen Duy 4 2018 Uniform representations of the incomplete beta function in terms of elementary functions. Zbl 1406.33002Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 4 2018 High-order Legendre collocation method for fractional-order linear semi-explicit differential algebraic equations. Zbl 1410.65291Ghanbari, F.; Ghanbari, K.; Mokhtary, P. 3 2018 Computation of induced orthogonal polynomial distributions. Zbl 1406.33006Narayan, Akil 3 2018 Quadratic spline wavelets with short support satisfying homogeneous boundary conditions. Zbl 06862883Černá, Dana; Finěk, Václav 3 2018 Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh. Zbl 1390.15072Echeverría, Carlos; Liesen, Jörg; Szyld, Daniel B.; Tichý, Petr 3 2018 Additive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems. Zbl 1448.65265Marcinkowski, Leszek; Rahman, Talal 3 2018 A conditional gradient method for primal-dual total variation-based image denoising. Zbl 1398.65043Bentbib, Abdeslem Hafid; Bouhamadi, Abderrahman; Kreit, Karim 2 2018 The use of the generalized sinc-Gaussian sampling for numerically computing eigenvalues of periodic Dirac system. Zbl 1408.30039Asharabi, Rashad M.; Tharwat, Mohammed M. 2 2018 On accelerating the regularized alternating least-squares algorithm for tensors. Zbl 1391.65113Wang, Xiaofei; Navasca, Carmeliza; Kindermann, Stefan 2 2018 ...and 642 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,397 Authors 137 Reichel, Lothar 43 Benner, Peter 41 Gander, Martin Jakob 39 Jbilou, Khalide 35 Gatica, Gabriel N. 29 Huang, Ting-Zhu 27 Simoncini, Valeria 25 Mehrmann, Volker 25 Van Barel, Marc 24 Ford, Neville J. 24 Serra-Capizzano, Stefano 23 Klawonn, Axel 23 Marcellán Español, Francisco 22 Vandebril, Raf 22 Wu, Shulin 21 Ma, Changfeng 20 Agarwal, Ravi P. 20 Vianello, Marco 19 Axelsson, Axel Owe Holger 19 Hochstenbach, Michiel E. 19 Klein, Christian 19 Oyarzúa, Ricardo 19 Praetorius, Dirk 18 Bentbib, Abdeslem Hafid 18 Benzi, Michele 18 Brenner, Susanne Cecelia 18 Buccini, Alessandro 18 Nasser, Mohamed M. S. 18 Rheinbach, Oliver 18 Wang, Yushun 17 Donatelli, Marco 17 Spalević, Miodrag M. 17 Stoll, Martin 16 Li, Hengguang 16 Li, Tongxing 16 Potts, Daniel 16 Rodriguez, Giuseppe 16 Sgallari, Fiorella 15 Cvetković, Ljiljana 15 Dehghan Takht Fooladi, Mehdi 15 Mach, Thomas 15 Pearson, John W. 15 Sommariva, Alvise 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 Neytcheva, Maya G. 14 Noschese, Silvia 14 Rui, Hongxing 14 Sadok, Hassane 14 Toutounian, Faezeh 14 Vuorinen, Matti Keijo Kustaa 14 Wathen, Andrew John 14 Yang, Yidu 13 Gemignani, Luca 13 He, Yinnian 13 Navascués, María Antonia 13 Saad, Yousef 13 Zhang, Chenghui 12 Băleanu, Dumitru I. 12 Bohner, Martin J. 12 Hansen, Olaf 12 Huang, Yunqing 12 Kürschner, Patrick 12 Layton, William J. 12 Morigi, Serena 12 Widlund, Olof B. 12 Yan, Yubin 12 Yotov, Ivan 12 Zampini, Stefano 11 Atkinson, Kendall Eugene 11 Bultheel, Adhemar François 11 Cai, Xiao-Chuan 11 Caliari, Marco 11 Carpentieri, Bruno 11 Daftardar-Gejji, Varsha 11 Gu, Xian-Ming 11 Güttel, Stefan 11 He, Xiaoming 11 Heyouni, Mohammed 11 Jia, Zhongxiao 11 Khader, Mohamed M. 11 Li, Liang 11 Li, Rencang 11 Liang, Zhaozheng 11 Liesen, Jörg 11 MacLachlan, Scott P. 11 Meurant, Gérard A. 11 Nabben, Reinhard 11 Nagy, James Gerard 11 Palitta, Davide 11 Robol, Leonardo 11 Saak, Jens 11 Sleijpen, Gerard L. 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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 ...and 372 more Journals all top 5 Cited in 59 Fields 3,952 Numerical analysis (65-XX) 1,038 Partial differential equations (35-XX) 642 Linear and multilinear algebra; matrix theory (15-XX) 580 Fluid mechanics (76-XX) 338 Ordinary differential equations (34-XX) 273 Approximations and expansions (41-XX) 263 Mechanics of deformable solids (74-XX) 223 Calculus of variations and optimal control; optimization (49-XX) 202 Special functions (33-XX) 199 Operations research, mathematical programming (90-XX) 186 Harmonic analysis on Euclidean spaces (42-XX) 176 Systems theory; control (93-XX) 174 Operator theory (47-XX) 157 Probability theory and stochastic processes (60-XX) 147 Functions of a complex variable (30-XX) 145 Real functions (26-XX) 136 Computer science (68-XX) 135 Integral equations (45-XX) 114 Information and communication theory, circuits (94-XX) 105 Dynamical systems and ergodic theory (37-XX) 101 Optics, electromagnetic theory (78-XX) 93 Biology and other natural sciences (92-XX) 85 Combinatorics (05-XX) 66 Statistics (62-XX) 64 Statistical mechanics, structure of matter (82-XX) 53 Geophysics (86-XX) 52 Quantum theory (81-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Measure and integration (28-XX) 48 Potential theory (31-XX) 46 Difference and functional equations (39-XX) 44 Number theory (11-XX) 40 Functional analysis (46-XX) 31 Classical thermodynamics, heat transfer (80-XX) 24 Convex and discrete geometry (52-XX) 23 Integral transforms, operational calculus (44-XX) 20 Mechanics of particles and systems (70-XX) 19 Field theory and polynomials (12-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Differential geometry (53-XX) 12 Sequences, series, summability (40-XX) 11 History and biography (01-XX) 10 Algebraic geometry (14-XX) 10 Several complex variables and analytic spaces (32-XX) 10 General topology (54-XX) 8 Abstract harmonic analysis (43-XX) 8 Astronomy and astrophysics (85-XX) 7 Commutative algebra (13-XX) 7 Geometry (51-XX) 6 General and overarching topics; collections (00-XX) 6 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 5 Topological groups, Lie groups (22-XX) 4 Algebraic topology (55-XX) 4 Mathematics education (97-XX) 3 Mathematical logic and foundations (03-XX) 3 Nonassociative rings and algebras (17-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Citations by Year