Edit Profile (opens in new tab) Hochbruck, Marlis Co-Author Distance Author ID: hochbruck.marlis Published as: Hochbruck, Marlis; Hochbruck, M.; Hochbruk, Marlis more...less Homepage: https://na.math.kit.edu/about_us/people_marlis.php External Links: MGP · Wikidata · GND Documents Indexed: 71 Publications since 1992, including 2 Books and 1 Additional arXiv Preprint 7 Contributions as Editor Co-Authors: 61 Co-Authors with 73 Joint Publications 1,351 Co-Co-Authors all top 5 Co-Authors 5 single-authored 11 Lubich, Christian 11 Ostermann, Alexander 5 Schnaubelt, Roland 4 Grimm, Volker 4 Gutknecht, Martin H. 4 Köhler, Jonas 4 Leibold, Jan 4 Pažur, Tomislav 3 Dörich, Benjamin 3 Hairer, Ernst 3 Hanke-Bourgeois, Martin 3 Honig, Michael L. 3 Schweitzer, Julia 3 Stohrer, Christian 3 Sturm, Andreas 2 Buchholz, Simone 2 Carle, Constantin 2 Dorfler, Willy 2 Freund, Roland W. 2 Hipp, David 2 Iserles, Arieh 2 Jahnke, Tobias 2 Karle, Ch. 2 Maier, Bernhard 2 Neher, Markus 2 Rieder, Andreas 2 Schrammer, Stefan 2 Spatschek, Karl-Heinz 2 Wieners, Christian 1 Bochev, M. A. 1 Braun, Benjamin 1 Burkhard, Selina 1 Busch, Kurt 1 Demirel, Abdullah 1 Deppler, Jens 1 Faou, Erwan 1 Fath, L. 1 Fidlin, Alexander 1 Fischer, Bernd 1 Gauckler, Ludwig J. 1 Hundertmark, Dirk 1 Karmakar, Anupam 1 Koch, Herbert 1 Laedke, Ernst Wolfgang 1 Lasser, Caroline 1 Liljo, Jalo 1 Löchel, Dominik 1 McLachlan, Robert I. 1 Nicaise, Serge 1 Niegemann, Jens 1 Niehoff, Jörg 1 Niethammer, Wilhelm 1 Oh, Sung-Jin 1 Reichel, Wolfgang 1 Sanz-Serna, Jesús María 1 Sautter, Jörg-M. 1 Schörkhuber, Birgit 1 Singh, Chandra Veer 1 Starke, Gerhard 1 Thawinan, Ekkachai 1 van den Eshof, Jasper all top 5 Serials 10 Numerische Mathematik 9 SIAM Journal on Numerical Analysis 6 BIT 6 Oberwolfach Reports 5 SIAM Journal on Scientific Computing 4 Journal of Computational Physics 4 ETNA. Electronic Transactions on Numerical Analysis 3 IMA Journal of Numerical Analysis 1 Computer Physics Communications 1 Inverse Problems 1 Mathematische Semesterberichte 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Applications of Mathematics 1 Numerical Algorithms 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Numerical Linear Algebra with Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Journal of Mechanics. A. Solids 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Oberwolfach Seminars 1 Trends in Mathematics 1 SN Partial Differential Equations and Applications all top 5 Fields 72 Numerical analysis (65-XX) 29 Partial differential equations (35-XX) 12 Ordinary differential equations (34-XX) 12 Optics, electromagnetic theory (78-XX) 8 General and overarching topics; collections (00-XX) 8 Fluid mechanics (76-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 2 Mathematics education (97-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 2,086 times in 1,145 Documents Cited by ▼ Year ▼ Exponential integrators. Zbl 1242.65109 Hochbruck, Marlis; Ostermann, Alexander 469 2010 On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032 Hochbruck, Marlis; Lubich, Christian 270 1997 Exponential integrators for large systems of differential equations. Zbl 0912.65058 Hochbruck, Marlis; Lubich, Christian 222 1998 Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052 Hochbruck, Marlis; Ostermann, Alexander 204 2005 A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077 Hochbruck, Marlis; Lubich, Christian 121 1999 Exponential Rosenbrock-type methods. Zbl 1193.65119 Hochbruck, Marlis; Ostermann, Alexander; Schweitzer, Julia 98 2009 Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099 Hochbruck, Marlis; Ostermann, Alexander 91 2005 Preconditioning Lanczos approximations to the matrix exponential. Zbl 1105.65051 van den Eshof, Jasper; Hochbruck, Marlis 80 2006 Error analysis of exponential integrators for oscillatory second-order differential equations. Zbl 1093.65078 Grimm, Volker; Hochbruck, Marlis 45 2006 Exponential multistep methods of Adams-type. Zbl 1237.65071 Hochbruck, Marlis; Ostermann, Alexander 41 2011 Residual, restarting, and Richardson iteration for the matrix exponential. Zbl 1278.65052 Botchev, Mike A.; Grimm, Volker; Hochbruck, Marlis 33 2013 Exponential integrators for quantum-classical molecular dynamics. Zbl 0985.81002 Hochbruck, Marlis; Lubich, Christian 32 1999 On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling. Zbl 0840.65021 Freund, Roland W.; Hochbruck, Marlis 29 1994 Preconditioned Krylov subspace methods for Lyapunov matrix equations. Zbl 0827.65048 Hochbruck, Marlis; Starke, Gerhard 25 1995 On Magnus integrators for time-dependent Schrödinger equations. Zbl 1049.65064 Hochbruck, Marlis; Lubich, Christian 23 2003 Efficient time integration for discontinuous Galerkin approximations of linear wave equations [Plenary lecture presented at the 83rd annual GAMM conference, Darmstadt, 26th – 30th March, 2012]. Zbl 1322.65095 Hochbruck, Marlis; Pažur, Tomislav; Schulz, Andreas; Thawinan, Ekkachai; Wieners, Christian 22 2015 Convergence of an ADI splitting for Maxwell’s equations. Zbl 1323.78018 Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland 22 2015 Error analysis of a second-order locally implicit method for linear Maxwell’s equations. Zbl 1457.65111 Hochbruck, Marlis; Sturm, Andreas 18 2016 Rational approximation to trigonometric operators. Zbl 1148.65075 Grimm, V.; Hochbruck, M. 18 2008 A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039 Hanke, Martin; Hochbruck, Marlis 16 1993 Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems. Zbl 0823.65023 Gutknecht, Martin H.; Hochbruck, Marlis 15 1995 Implicit Runge-Kutta methods and discontinuous Galerkin discretizations for linear Maxwell’s equations. Zbl 1312.65161 Hochbruck, Marlis; Pažur, Tomislav 15 2015 The stability of inversion formulas for Toeplitz matrices. Zbl 0835.65047 Gutknecht, Martin H.; Hochbruck, Marlis 14 1995 Report 14/2006: Geometric Numerical Integration (March 19th – March 25th, 2006). Zbl 1109.65301 11 2006 Error analysis of Krylov methods in a nutshell. Zbl 0914.65024 Hochbruck, Marlis; Lubich, Christian 9 1998 Look-ahead Levinson- and Schur-type recurrences in the Padé table. Zbl 0852.41012 Gutknecht, Martin H.; Hochbruck, Marlis 9 1994 Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Zbl 1359.65171 Hochbruck, Marlis; Pažur, Tomislav 9 2017 On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type problems. Zbl 1427.65166 Hochbruck, Marlis; Köhler, Jonas 9 2018 Unified error analysis for nonconforming space discretizations of wave-type equations. Zbl 1466.65135 Hipp, David; Hochbruck, Marlis; Stohrer, Christian 8 2019 Efficient multiple time-stepping algorithms of higher order. Zbl 1351.78053 Demirel, Abdullah; Niegemann, Jens; Busch, Kurt; Hochbruck, Marlis 7 2015 An exponential integrator for non-autonomous parabolic problems. Zbl 1312.65210 Hipp, David; Hochbruck, Marlis; Ostermann, Alexander 7 2014 Heterogeneous multiscale method for Maxwell’s equations. Zbl 1435.78019 Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian 7 2019 Optimized look-ahead recurrences for adjacent rows in the Padé table. Zbl 0852.65025 Gutknecht, Martin H.; Hochbruck, Marlis 6 1996 On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems. Zbl 1189.65114 Hochbruck, Marlis; Hönig, Michael 6 2010 On the convergence of Lawson methods for semilinear stiff problems. Zbl 1453.65269 Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander 6 2020 On leapfrog-Chebyshev schemes. Zbl 1454.65046 Carle, Constantin; Hochbruck, Marlis; Sturm, Andreas 6 2020 Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. Zbl 1404.65056 Buchholz, Simone; Gauckler, Ludwig; Grimm, Volker; Hochbruck, Marlis; Jahnke, Tobias 6 2018 A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018 Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis 5 1996 A multilevel Jacobi-Davidson method for polynomial PDE eigenvalue problems arising in plasma physics. Zbl 1278.76131 Hochbruck, Marlis; Löchel, Dominik 4 2010 Finite element heterogeneous multiscale method for time-dependent Maxwell’s equations. Zbl 1383.78039 Hochbruck, Marlis; Stohrer, Christian 4 2017 A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems. Zbl 1184.65063 Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander 4 2009 Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Zbl 1443.65204 Hochbruck, Marlis; Leibold, Jan 4 2020 Error analysis for space discretizations of quasilinear wave-type equations. Zbl 1503.65230 Hochbruck, Marlis; Maier, Bernhard 4 2022 A short course on exponential integrators. Zbl 1332.65101 Hochbruck, Marlis 3 2015 A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems. Zbl 1270.76090 Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Spatschek, K. H. 3 2008 An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. Zbl 1464.65086 Hochbruck, Marlis; Leibold, Jan 3 2021 Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations. Zbl 1387.65100 Hochbruck, Marlis; Pažur, Tomislav; Schnaubelt, Roland 2 2018 Regularization of nonlinear ill-posed problems by exponential integrators. Zbl 1167.65369 Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander 2 2009 Numerical solution of nonlinear wave equations in stratified dispersive media. Zbl 1092.76048 Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Laedke, E. W.; Spatschek, K. H. 2 2006 Approximation of matrix operators applied to multiple vectors. Zbl 1189.65077 Hochbruck, Marlis; Niehoff, Jörg 2 2008 One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab). Zbl 1197.82013 Liljo, Jalo; Karmakar, Anupam; Pukhov, A.; Hochbruck, M. 2 2008 On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055 Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis 2 2021 Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. Zbl 1497.65173 Hochbruck, Marlis; Köhler, Jonas 2 2022 Dynamical low-rank integrators for second-order matrix differential equations. Zbl 1508.65077 Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan 2 2023 Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell’s equations. Zbl 1462.65144 Hochbruck, Marlis; Sturm, Andreas 2 2019 A bunch of time integrators for quantum/classical molecular dynamics. Zbl 0966.81066 Hochbruk, Marlis; Lubich, Christian 1 1999 Lanczos and Krylov methods for non-Hermitian linear systems. (Lanczos- und Krylov-Verfahren für nicht-Hermitesche lineare Systeme.) Zbl 0773.65018 Hochbruck, Marlis 1 1992 A biconjugate gradient-type algorithm for the iterative solution of non- Hermitian linear systems on massively parallel architectures. Zbl 0789.65020 Freund, R. W.; Hochbruck, M. 1 1992 Convergence of viscoelastic constraints to nonholonomic idealization. Zbl 1406.70014 Deppler, Jens; Braun, B.; Fidlin, Alexander; Hochbruck, Marlis 1 2016 Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. Zbl 1460.65121 Hochbruck, Marlis; Köhler, Jonas 1 2020 Dynamical low-rank integrators for second-order matrix differential equations. Zbl 1508.65077 Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan 2 2023 Error analysis for space discretizations of quasilinear wave-type equations. Zbl 1503.65230 Hochbruck, Marlis; Maier, Bernhard 4 2022 Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. Zbl 1497.65173 Hochbruck, Marlis; Köhler, Jonas 2 2022 An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. Zbl 1464.65086 Hochbruck, Marlis; Leibold, Jan 3 2021 On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055 Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis 2 2021 On the convergence of Lawson methods for semilinear stiff problems. Zbl 1453.65269 Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander 6 2020 On leapfrog-Chebyshev schemes. Zbl 1454.65046 Carle, Constantin; Hochbruck, Marlis; Sturm, Andreas 6 2020 Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Zbl 1443.65204 Hochbruck, Marlis; Leibold, Jan 4 2020 Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. Zbl 1460.65121 Hochbruck, Marlis; Köhler, Jonas 1 2020 Unified error analysis for nonconforming space discretizations of wave-type equations. Zbl 1466.65135 Hipp, David; Hochbruck, Marlis; Stohrer, Christian 8 2019 Heterogeneous multiscale method for Maxwell’s equations. Zbl 1435.78019 Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian 7 2019 Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell’s equations. Zbl 1462.65144 Hochbruck, Marlis; Sturm, Andreas 2 2019 On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type problems. Zbl 1427.65166 Hochbruck, Marlis; Köhler, Jonas 9 2018 Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. Zbl 1404.65056 Buchholz, Simone; Gauckler, Ludwig; Grimm, Volker; Hochbruck, Marlis; Jahnke, Tobias 6 2018 Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations. Zbl 1387.65100 Hochbruck, Marlis; Pažur, Tomislav; Schnaubelt, Roland 2 2018 Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Zbl 1359.65171 Hochbruck, Marlis; Pažur, Tomislav 9 2017 Finite element heterogeneous multiscale method for time-dependent Maxwell’s equations. Zbl 1383.78039 Hochbruck, Marlis; Stohrer, Christian 4 2017 Error analysis of a second-order locally implicit method for linear Maxwell’s equations. Zbl 1457.65111 Hochbruck, Marlis; Sturm, Andreas 18 2016 Convergence of viscoelastic constraints to nonholonomic idealization. Zbl 1406.70014 Deppler, Jens; Braun, B.; Fidlin, Alexander; Hochbruck, Marlis 1 2016 Efficient time integration for discontinuous Galerkin approximations of linear wave equations [Plenary lecture presented at the 83rd annual GAMM conference, Darmstadt, 26th – 30th March, 2012]. Zbl 1322.65095 Hochbruck, Marlis; Pažur, Tomislav; Schulz, Andreas; Thawinan, Ekkachai; Wieners, Christian 22 2015 Convergence of an ADI splitting for Maxwell’s equations. Zbl 1323.78018 Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland 22 2015 Implicit Runge-Kutta methods and discontinuous Galerkin discretizations for linear Maxwell’s equations. Zbl 1312.65161 Hochbruck, Marlis; Pažur, Tomislav 15 2015 Efficient multiple time-stepping algorithms of higher order. Zbl 1351.78053 Demirel, Abdullah; Niegemann, Jens; Busch, Kurt; Hochbruck, Marlis 7 2015 A short course on exponential integrators. Zbl 1332.65101 Hochbruck, Marlis 3 2015 An exponential integrator for non-autonomous parabolic problems. Zbl 1312.65210 Hipp, David; Hochbruck, Marlis; Ostermann, Alexander 7 2014 Residual, restarting, and Richardson iteration for the matrix exponential. Zbl 1278.65052 Botchev, Mike A.; Grimm, Volker; Hochbruck, Marlis 33 2013 Exponential multistep methods of Adams-type. Zbl 1237.65071 Hochbruck, Marlis; Ostermann, Alexander 41 2011 Exponential integrators. Zbl 1242.65109 Hochbruck, Marlis; Ostermann, Alexander 469 2010 On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems. Zbl 1189.65114 Hochbruck, Marlis; Hönig, Michael 6 2010 A multilevel Jacobi-Davidson method for polynomial PDE eigenvalue problems arising in plasma physics. Zbl 1278.76131 Hochbruck, Marlis; Löchel, Dominik 4 2010 Exponential Rosenbrock-type methods. Zbl 1193.65119 Hochbruck, Marlis; Ostermann, Alexander; Schweitzer, Julia 98 2009 A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems. Zbl 1184.65063 Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander 4 2009 Regularization of nonlinear ill-posed problems by exponential integrators. Zbl 1167.65369 Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander 2 2009 Rational approximation to trigonometric operators. Zbl 1148.65075 Grimm, V.; Hochbruck, M. 18 2008 A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems. Zbl 1270.76090 Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Spatschek, K. H. 3 2008 Approximation of matrix operators applied to multiple vectors. Zbl 1189.65077 Hochbruck, Marlis; Niehoff, Jörg 2 2008 One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab). Zbl 1197.82013 Liljo, Jalo; Karmakar, Anupam; Pukhov, A.; Hochbruck, M. 2 2008 Preconditioning Lanczos approximations to the matrix exponential. Zbl 1105.65051 van den Eshof, Jasper; Hochbruck, Marlis 80 2006 Error analysis of exponential integrators for oscillatory second-order differential equations. Zbl 1093.65078 Grimm, Volker; Hochbruck, Marlis 45 2006 Report 14/2006: Geometric Numerical Integration (March 19th – March 25th, 2006). Zbl 1109.65301 11 2006 Numerical solution of nonlinear wave equations in stratified dispersive media. Zbl 1092.76048 Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Laedke, E. W.; Spatschek, K. H. 2 2006 Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052 Hochbruck, Marlis; Ostermann, Alexander 204 2005 Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099 Hochbruck, Marlis; Ostermann, Alexander 91 2005 On Magnus integrators for time-dependent Schrödinger equations. Zbl 1049.65064 Hochbruck, Marlis; Lubich, Christian 23 2003 A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077 Hochbruck, Marlis; Lubich, Christian 121 1999 Exponential integrators for quantum-classical molecular dynamics. Zbl 0985.81002 Hochbruck, Marlis; Lubich, Christian 32 1999 A bunch of time integrators for quantum/classical molecular dynamics. Zbl 0966.81066 Hochbruk, Marlis; Lubich, Christian 1 1999 Exponential integrators for large systems of differential equations. Zbl 0912.65058 Hochbruck, Marlis; Lubich, Christian 222 1998 Error analysis of Krylov methods in a nutshell. Zbl 0914.65024 Hochbruck, Marlis; Lubich, Christian 9 1998 On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032 Hochbruck, Marlis; Lubich, Christian 270 1997 Optimized look-ahead recurrences for adjacent rows in the Padé table. Zbl 0852.65025 Gutknecht, Martin H.; Hochbruck, Marlis 6 1996 A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018 Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis 5 1996 Preconditioned Krylov subspace methods for Lyapunov matrix equations. Zbl 0827.65048 Hochbruck, Marlis; Starke, Gerhard 25 1995 Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems. Zbl 0823.65023 Gutknecht, Martin H.; Hochbruck, Marlis 15 1995 The stability of inversion formulas for Toeplitz matrices. Zbl 0835.65047 Gutknecht, Martin H.; Hochbruck, Marlis 14 1995 On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling. Zbl 0840.65021 Freund, Roland W.; Hochbruck, Marlis 29 1994 Look-ahead Levinson- and Schur-type recurrences in the Padé table. Zbl 0852.41012 Gutknecht, Martin H.; Hochbruck, Marlis 9 1994 A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039 Hanke, Martin; Hochbruck, Marlis 16 1993 Lanczos and Krylov methods for non-Hermitian linear systems. (Lanczos- und Krylov-Verfahren für nicht-Hermitesche lineare Systeme.) Zbl 0773.65018 Hochbruck, Marlis 1 1992 A biconjugate gradient-type algorithm for the iterative solution of non- Hermitian linear systems on massively parallel architectures. Zbl 0789.65020 Freund, R. W.; Hochbruck, M. 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 1,422 Authors 41 Wu, Xinyuan 32 Hochbruck, Marlis 31 Wang, Bin 29 Ostermann, Alexander 27 Ju, Lili 18 Schratz, Katharina 17 Bochev, M. A. 15 Caliari, Marco 15 Khaliq, Abdul Q. M. 14 Iserles, Arieh 14 Simoncini, Valeria 14 Wei, Yimin 13 Einkemmer, Lukas 13 Luan, Vu Thai 12 Schweitzer, Marcel 12 Shi, Wei 12 Zhao, Xiaofei 11 Jimenez, Juan Carlos 11 Li, Xiao 11 Owolabi, Kolade Matthew 11 Reichel, Lothar 11 Tambue, Antoine 11 Weiner, Rüdiger 10 Bao, Weizhu 10 Cai, Yongyong 10 Cano, Begoña 10 Li, Jiyong 10 Liu, Changying 10 Lubich, Christian 10 Moret, Igor 10 Novati, Paolo 10 Qiao, Zhonghua 10 Wieners, Christian 9 Klein, Christian 9 Liu, Kai 9 Mei, Lijie 9 Sun, Haiwei 8 Blanes, Sergio 8 Garrappa, Roberto 8 Güttel, Stefan 8 Kressner, Daniel 8 Su, Chunmei 8 Turner, Ian William 8 Zhao, Jingjun 7 Bentbib, Abdeslem Hafid 7 Celledoni, Elena 7 Crouseilles, Nicolas 7 Lambers, James V. 7 Martín-Vaquero, Jesús 7 Tokman, Mayya 7 Van Barel, Marc 7 Wang, Bin 7 Xu, Yang 6 Auzinger, Winfried 6 Bhatt, Harish P. 6 Casas, Fernando 6 Cassini, Fabio 6 Grimm, Volker 6 Jahnke, Tobias 6 Kandolf, Peter 6 Koch, Othmar 6 Li, Dongping 6 Li, Ting 6 Mukam, Jean Daniel 6 Muñoz-Matute, Judit 6 Podhaisky, Helmut 6 Popolizio, Marina 6 Sandu, Adrian 6 Schmitt, Bernhard A. 6 Wade, Bruce A. 6 Zivcovich, Franco 5 Benzi, Michele 5 Burrage, Kevin 5 Dujardin, Guillaume Michel 5 Feng, Yue 5 Furati, Khaled M. 5 Gauckler, Ludwig J. 5 Grote, Marcus J. 5 Hashimoto, Yuka 5 Jbilou, Khalide 5 Jiang, Yaolin 5 Leibold, Jan 5 Li, Jingwei 5 Lord, Gabriel James 5 Narayanamurthi, Mahesh 5 Nodera, Takashi 5 Pardo, David 5 Qian, Xu 5 Reguera, Nuria 5 Reynolds, Daniel R. 5 Song, Songhe 5 Stanimirović, Predrag S. 5 Szyld, Daniel B. 5 Vianello, Marco 5 Wang, Yan 5 Wensch, Jörg 5 Yang, Hongli 5 You, Xiong 5 Zhang, Lu 4 Bader, Philipp ...and 1,322 more Authors all top 5 Cited in 175 Serials 101 Journal of Computational Physics 93 Journal of Computational and Applied Mathematics 69 Applied Numerical Mathematics 64 BIT 57 Journal of Scientific Computing 51 SIAM Journal on Scientific Computing 49 Applied Mathematics and Computation 38 SIAM Journal on Numerical Analysis 33 Computers & Mathematics with Applications 33 Numerical Algorithms 32 Linear Algebra and its Applications 30 Numerische Mathematik 24 Mathematics of Computation 21 Applied Mathematics Letters 18 SIAM Journal on Matrix Analysis and Applications 18 Numerical Linear Algebra with Applications 17 Computer Physics Communications 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 Numerical Methods for Partial Differential Equations 12 International Journal of Computer Mathematics 11 Computer Methods in Applied Mechanics and Engineering 10 Mathematics and Computers in Simulation 9 Calcolo 9 Multiscale Modeling & Simulation 8 Computational and Applied Mathematics 8 ETNA. Electronic Transactions on Numerical Analysis 8 Advances in Computational Mathematics 8 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Applied Mathematics and Computing 7 Journal of Mathematical Analysis and Applications 7 Physica D 7 Foundations of Computational Mathematics 7 Communications in Computational Physics 7 East Asian Journal on Applied Mathematics 6 Japan Journal of Industrial and Applied Mathematics 5 Chaos, Solitons and Fractals 5 Journal of Computational Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 5 Computational Methods in Applied Mathematics 5 Advances in Applied Mathematics and Mechanics 4 Computers and Fluids 4 Journal of Fluid Mechanics 4 Linear and Multilinear Algebra 4 Discrete and Continuous Dynamical Systems 4 GAMM-Mitteilungen 3 International Journal of Control 3 Mathematical Methods in the Applied Sciences 3 Computing 3 International Journal for Numerical Methods in Engineering 3 Numerical Functional Analysis and Optimization 3 Pattern Recognition 3 SIAM Review 3 Mathematical Problems in Engineering 3 Journal of Numerical Mathematics 3 Mediterranean Journal of Mathematics 3 Networks and Heterogeneous Media 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Nonlinearity 2 Bulletin of Mathematical Biology 2 Applied Mathematical Modelling 2 Journal of Nonlinear Science 2 Journal of Difference Equations and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Evolution Equations 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Acta Numerica 2 Oberwolfach Reports 2 Discrete and Continuous Dynamical Systems. Series S 2 Statistics and Computing 2 Journal of Theoretical Biology 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 International Journal of Applied and Computational Mathematics 1 Analysis Mathematica 1 Communications in Mathematical Physics 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 The Mathematical Gazette 1 Physica A 1 Physics Letters. A 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 ACM Transactions on Mathematical Software 1 The Annals of Probability 1 Dissertationes Mathematicae 1 Integral Equations and Operator Theory 1 Journal of the American Statistical Association 1 Theoretical Population Biology 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Journal of the Nigerian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series ...and 75 more Serials all top 5 Cited in 44 Fields 1,037 Numerical analysis (65-XX) 367 Partial differential equations (35-XX) 152 Ordinary differential equations (34-XX) 118 Linear and multilinear algebra; matrix theory (15-XX) 83 Fluid mechanics (76-XX) 62 Dynamical systems and ergodic theory (37-XX) 62 Optics, electromagnetic theory (78-XX) 51 Probability theory and stochastic processes (60-XX) 48 Quantum theory (81-XX) 32 Operator theory (47-XX) 29 Computer science (68-XX) 25 Biology and other natural sciences (92-XX) 22 Mechanics of deformable solids (74-XX) 22 Systems theory; control (93-XX) 21 Statistical mechanics, structure of matter (82-XX) 17 Approximations and expansions (41-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Geophysics (86-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Real functions (26-XX) 11 Integral equations (45-XX) 11 Mechanics of particles and systems (70-XX) 8 Combinatorics (05-XX) 8 Statistics (62-XX) 8 Operations research, mathematical programming (90-XX) 8 Information and communication theory, circuits (94-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Special functions (33-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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