Edit Profile (opens in new tab) Hochbruck, Marlis Compute Distance To: Compute 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: 64 Publications since 1992, including 1 Book 6 Contributions as Editor Co-Authors: 55 Co-Authors with 65 Joint Publications 1,035 Co-Co-Authors all top 5 Co-Authors 5 single-authored 11 Ostermann, Alexander 10 Lubich, Christian 4 Grimm, Volker 4 Gutknecht, Martin H. 4 Leibold, Jan 4 Pažur, Tomislav 4 Schnaubelt, Roland 3 Hairer, Ernst 3 Hanke-Bourgeois, Martin 3 Honig, Michael L. 3 Köhler, Jonas 3 Schweitzer, Julia 3 Stohrer, Christian 3 Sturm, Andreas 2 Buchholz, Simone 2 Freund, Roland W. 2 Hipp, David 2 Iserles, Arieh 2 Jahnke, Tobias 2 Karle, Ch. 2 Spatschek, Karl-Heinz 1 Botchev, Mike A. 1 Braun, Benjamin 1 Busch, Kurt 1 Carle, Constantin 1 Demirel, Abdullah 1 Deppler, Jens 1 Dorfler, Willy 1 Dörich, Benjamin 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 Liljo, Jalo 1 Löchel, Dominik 1 Maier, Bernhard 1 Nicaise, Serge 1 Niegemann, Jens 1 Niehoff, Jörg 1 Niethammer, Wilhelm 1 Oh, Sung-Jin 1 Reichel, Wolfgang 1 Rieder, Andreas 1 Sautter, Jörg-M. 1 Schörkhuber, Birgit 1 Singh, Chandra Veer 1 Starke, Gerhard 1 Thawinan, Ekkachai 1 van den Eshof, Jasper 1 Wieners, Christian all top 5 Serials 10 Numerische Mathematik 7 SIAM Journal on Numerical Analysis 5 SIAM Journal on Scientific Computing 5 Oberwolfach Reports 4 Journal of Computational Physics 4 BIT 4 ETNA. Electronic Transactions on Numerical Analysis 2 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 Trends in Mathematics 1 SN Partial Differential Equations and Applications all top 5 Fields 65 Numerical analysis (65-XX) 24 Partial differential equations (35-XX) 11 Ordinary differential equations (34-XX) 9 Optics, electromagnetic theory (78-XX) 7 General and overarching topics; collections (00-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Fluid mechanics (76-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-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 54 Publications have been cited 1,721 times in 921 Documents Cited by ▼ Year ▼ Exponential integrators. Zbl 1242.65109Hochbruck, Marlis; Ostermann, Alexander 341 2010 On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032Hochbruck, Marlis; Lubich, Christian 245 1997 Exponential integrators for large systems of differential equations. Zbl 0912.65058Hochbruck, Marlis; Lubich, Christian 203 1998 Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052Hochbruck, Marlis; Ostermann, Alexander 164 2005 A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077Hochbruck, Marlis; Lubich, Christian 109 1999 Exponential Rosenbrock-type methods. Zbl 1193.65119Hochbruck, Marlis; Ostermann, Alexander; Schweitzer, Julia 79 2009 Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099Hochbruck, Marlis; Ostermann, Alexander 77 2005 Preconditioning Lanczos approximations to the matrix exponential. Zbl 1105.65051van den Eshof, Jasper; Hochbruck, Marlis 71 2006 Error analysis of exponential integrators for oscillatory second-order differential equations. Zbl 1093.65078Grimm, Volker; Hochbruck, Marlis 40 2006 Exponential multistep methods of Adams-type. Zbl 1237.65071Hochbruck, Marlis; Ostermann, Alexander 36 2011 Exponential integrators for quantum-classical molecular dynamics. Zbl 0985.81002Hochbruck, Marlis; Lubich, Christian 29 1999 On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling. Zbl 0840.65021Freund, Roland W.; Hochbruck, Marlis 28 1994 Residual, restarting, and Richardson iteration for the matrix exponential. Zbl 1278.65052Botchev, Mike A.; Grimm, Volker; Hochbruck, Marlis 28 2013 Preconditioned Krylov subspace methods for Lyapunov matrix equations. Zbl 0827.65048Hochbruck, Marlis; Starke, Gerhard 24 1995 On Magnus integrators for time-dependent Schrödinger equations. Zbl 1049.65064Hochbruck, Marlis; Lubich, Christian 21 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 1322.65095Hochbruck, Marlis; Pažur, Tomislav; Schulz, Andreas; Thawinan, Ekkachai; Wieners, Christian 19 2015 Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems. Zbl 0823.65023Gutknecht, Martin H.; Hochbruck, Marlis 15 1995 Rational approximation to trigonometric operators. Zbl 1148.65075Grimm, V.; Hochbruck, M. 15 2008 A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039Hanke, Martin; Hochbruck, Marlis 15 1993 Convergence of an ADI splitting for Maxwell’s equations. Zbl 1323.78018Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland 15 2015 Error analysis of a second-order locally implicit method for linear Maxwell’s equations. Zbl 1457.65111Hochbruck, Marlis; Sturm, Andreas 15 2016 The stability of inversion formulas for Toeplitz matrices. Zbl 0835.65047Gutknecht, Martin H.; Hochbruck, Marlis 13 1995 Implicit Runge-Kutta methods and discontinuous Galerkin discretizations for linear Maxwell’s equations. Zbl 1312.65161Hochbruck, Marlis; Pažur, Tomislav 13 2015 Look-ahead Levinson- and Schur-type recurrences in the Padé table. Zbl 0852.41012Gutknecht, Martin H.; Hochbruck, Marlis 9 1994 Error analysis of Krylov methods in a nutshell. Zbl 0914.65024Hochbruck, Marlis; Lubich, Christian 8 1998 Efficient multiple time-stepping algorithms of higher order. Zbl 1351.78053Demirel, Abdullah; Niegemann, Jens; Busch, Kurt; Hochbruck, Marlis 7 2015 Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Zbl 1359.65171Hochbruck, Marlis; Pažur, Tomislav 7 2017 Optimized look-ahead recurrences for adjacent rows in the Padé table. Zbl 0852.65025Gutknecht, Martin H.; Hochbruck, Marlis 6 1996 An exponential integrator for non-autonomous parabolic problems. Zbl 1312.65210Hipp, David; Hochbruck, Marlis; Ostermann, Alexander 6 2014 A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis 5 1996 On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems. Zbl 1189.65114Hochbruck, Marlis; Hönig, Michael 5 2010 Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. Zbl 1404.65056Buchholz, Simone; Gauckler, Ludwig; Grimm, Volker; Hochbruck, Marlis; Jahnke, Tobias 5 2018 A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems. Zbl 1184.65063Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander 4 2009 Unified error analysis for nonconforming space discretizations of wave-type equations. Zbl 1466.65135Hipp, David; Hochbruck, Marlis; Stohrer, Christian 4 2019 On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type problems. Zbl 1427.65166Hochbruck, Marlis; Köhler, Jonas 4 2018 A multilevel Jacobi-Davidson method for polynomial PDE eigenvalue problems arising in plasma physics. Zbl 1278.76131Hochbruck, Marlis; Löchel, Dominik 3 2010 On the convergence of Lawson methods for semilinear stiff problems. Zbl 1453.65269Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander 3 2020 Finite element heterogeneous multiscale method for time-dependent Maxwell’s equations. Zbl 1383.78039Hochbruck, Marlis; Stohrer, Christian 3 2017 Heterogeneous multiscale method for Maxwell’s equations. Zbl 1435.78019Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian 3 2019 On leapfrog-Chebyshev schemes. Zbl 1454.65046Carle, Constantin; Hochbruck, Marlis; Sturm, Andreas 3 2020 A short course on exponential integrators. Zbl 1332.65101Hochbruck, Marlis 2 2015 Regularization of nonlinear ill-posed problems by exponential integrators. Zbl 1167.65369Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander 2 2009 Approximation of matrix operators applied to multiple vectors. Zbl 1189.65077Hochbruck, Marlis; Niehoff, Jörg 2 2008 A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems. Zbl 1270.76090Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Spatschek, K. H. 2 2008 One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab). Zbl 1197.82013Liljo, Jalo; Karmakar, Anupam; Pukhov, A.; Hochbruck, M. 2 2008 Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell’s equations. Zbl 1462.65144Hochbruck, Marlis; Sturm, Andreas 2 2019 Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Zbl 1443.65204Hochbruck, Marlis; Leibold, Jan 2 2020 Numerical solution of nonlinear wave equations in stratified dispersive media. Zbl 1092.76048Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Laedke, E. W.; Spatschek, K. H. 1 2006 Lanczos and Krylov methods for non-Hermitian linear systems. (Lanczos- und Krylov-Verfahren für nicht-Hermitesche lineare Systeme.) Zbl 0773.65018Hochbruck, Marlis 1 1992 A biconjugate gradient-type algorithm for the iterative solution of non- Hermitian linear systems on massively parallel architectures. Zbl 0789.65020Freund, R. W.; Hochbruck, M. 1 1992 Report 14/2006: Geometric Numerical Integration (March 19th – March 25th, 2006). Zbl 1109.65301 1 2006 A bunch of time integrators for quantum/classical molecular dynamics. Zbl 0966.81066Hochbruk, Marlis; Lubich, Christian 1 1999 Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. Zbl 1460.65121Hochbruck, Marlis; Köhler, Jonas 1 2020 Convergence of viscoelastic constraints to nonholonomic idealization. Zbl 1406.70014Deppler, Jens; Braun, B.; Fidlin, Alexander; Hochbruck, Marlis 1 2016 On the convergence of Lawson methods for semilinear stiff problems. Zbl 1453.65269Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander 3 2020 On leapfrog-Chebyshev schemes. Zbl 1454.65046Carle, Constantin; Hochbruck, Marlis; Sturm, Andreas 3 2020 Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Zbl 1443.65204Hochbruck, Marlis; Leibold, Jan 2 2020 Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. Zbl 1460.65121Hochbruck, Marlis; Köhler, Jonas 1 2020 Unified error analysis for nonconforming space discretizations of wave-type equations. Zbl 1466.65135Hipp, David; Hochbruck, Marlis; Stohrer, Christian 4 2019 Heterogeneous multiscale method for Maxwell’s equations. Zbl 1435.78019Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian 3 2019 Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell’s equations. Zbl 1462.65144Hochbruck, Marlis; Sturm, Andreas 2 2019 Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. Zbl 1404.65056Buchholz, Simone; Gauckler, Ludwig; Grimm, Volker; Hochbruck, Marlis; Jahnke, Tobias 5 2018 On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type problems. Zbl 1427.65166Hochbruck, Marlis; Köhler, Jonas 4 2018 Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Zbl 1359.65171Hochbruck, Marlis; Pažur, Tomislav 7 2017 Finite element heterogeneous multiscale method for time-dependent Maxwell’s equations. Zbl 1383.78039Hochbruck, Marlis; Stohrer, Christian 3 2017 Error analysis of a second-order locally implicit method for linear Maxwell’s equations. Zbl 1457.65111Hochbruck, Marlis; Sturm, Andreas 15 2016 Convergence of viscoelastic constraints to nonholonomic idealization. Zbl 1406.70014Deppler, 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 1322.65095Hochbruck, Marlis; Pažur, Tomislav; Schulz, Andreas; Thawinan, Ekkachai; Wieners, Christian 19 2015 Convergence of an ADI splitting for Maxwell’s equations. Zbl 1323.78018Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland 15 2015 Implicit Runge-Kutta methods and discontinuous Galerkin discretizations for linear Maxwell’s equations. Zbl 1312.65161Hochbruck, Marlis; Pažur, Tomislav 13 2015 Efficient multiple time-stepping algorithms of higher order. Zbl 1351.78053Demirel, Abdullah; Niegemann, Jens; Busch, Kurt; Hochbruck, Marlis 7 2015 A short course on exponential integrators. Zbl 1332.65101Hochbruck, Marlis 2 2015 An exponential integrator for non-autonomous parabolic problems. Zbl 1312.65210Hipp, David; Hochbruck, Marlis; Ostermann, Alexander 6 2014 Residual, restarting, and Richardson iteration for the matrix exponential. Zbl 1278.65052Botchev, Mike A.; Grimm, Volker; Hochbruck, Marlis 28 2013 Exponential multistep methods of Adams-type. Zbl 1237.65071Hochbruck, Marlis; Ostermann, Alexander 36 2011 Exponential integrators. Zbl 1242.65109Hochbruck, Marlis; Ostermann, Alexander 341 2010 On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems. Zbl 1189.65114Hochbruck, Marlis; Hönig, Michael 5 2010 A multilevel Jacobi-Davidson method for polynomial PDE eigenvalue problems arising in plasma physics. Zbl 1278.76131Hochbruck, Marlis; Löchel, Dominik 3 2010 Exponential Rosenbrock-type methods. Zbl 1193.65119Hochbruck, Marlis; Ostermann, Alexander; Schweitzer, Julia 79 2009 A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems. Zbl 1184.65063Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander 4 2009 Regularization of nonlinear ill-posed problems by exponential integrators. Zbl 1167.65369Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander 2 2009 Rational approximation to trigonometric operators. Zbl 1148.65075Grimm, V.; Hochbruck, M. 15 2008 Approximation of matrix operators applied to multiple vectors. Zbl 1189.65077Hochbruck, Marlis; Niehoff, Jörg 2 2008 A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems. Zbl 1270.76090Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Spatschek, K. H. 2 2008 One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab). Zbl 1197.82013Liljo, Jalo; Karmakar, Anupam; Pukhov, A.; Hochbruck, M. 2 2008 Preconditioning Lanczos approximations to the matrix exponential. Zbl 1105.65051van den Eshof, Jasper; Hochbruck, Marlis 71 2006 Error analysis of exponential integrators for oscillatory second-order differential equations. Zbl 1093.65078Grimm, Volker; Hochbruck, Marlis 40 2006 Numerical solution of nonlinear wave equations in stratified dispersive media. Zbl 1092.76048Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Laedke, E. W.; Spatschek, K. H. 1 2006 Report 14/2006: Geometric Numerical Integration (March 19th – March 25th, 2006). Zbl 1109.65301 1 2006 Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052Hochbruck, Marlis; Ostermann, Alexander 164 2005 Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099Hochbruck, Marlis; Ostermann, Alexander 77 2005 On Magnus integrators for time-dependent Schrödinger equations. Zbl 1049.65064Hochbruck, Marlis; Lubich, Christian 21 2003 A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077Hochbruck, Marlis; Lubich, Christian 109 1999 Exponential integrators for quantum-classical molecular dynamics. Zbl 0985.81002Hochbruck, Marlis; Lubich, Christian 29 1999 A bunch of time integrators for quantum/classical molecular dynamics. Zbl 0966.81066Hochbruk, Marlis; Lubich, Christian 1 1999 Exponential integrators for large systems of differential equations. Zbl 0912.65058Hochbruck, Marlis; Lubich, Christian 203 1998 Error analysis of Krylov methods in a nutshell. Zbl 0914.65024Hochbruck, Marlis; Lubich, Christian 8 1998 On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032Hochbruck, Marlis; Lubich, Christian 245 1997 Optimized look-ahead recurrences for adjacent rows in the Padé table. Zbl 0852.65025Gutknecht, Martin H.; Hochbruck, Marlis 6 1996 A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis 5 1996 Preconditioned Krylov subspace methods for Lyapunov matrix equations. Zbl 0827.65048Hochbruck, Marlis; Starke, Gerhard 24 1995 Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems. Zbl 0823.65023Gutknecht, Martin H.; Hochbruck, Marlis 15 1995 The stability of inversion formulas for Toeplitz matrices. Zbl 0835.65047Gutknecht, Martin H.; Hochbruck, Marlis 13 1995 On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling. Zbl 0840.65021Freund, Roland W.; Hochbruck, Marlis 28 1994 Look-ahead Levinson- and Schur-type recurrences in the Padé table. Zbl 0852.41012Gutknecht, Martin H.; Hochbruck, Marlis 9 1994 A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039Hanke, Martin; Hochbruck, Marlis 15 1993 Lanczos and Krylov methods for non-Hermitian linear systems. (Lanczos- und Krylov-Verfahren für nicht-Hermitesche lineare Systeme.) Zbl 0773.65018Hochbruck, Marlis 1 1992 A biconjugate gradient-type algorithm for the iterative solution of non- Hermitian linear systems on massively parallel architectures. Zbl 0789.65020Freund, R. W.; Hochbruck, M. 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 1,163 Authors 37 Wu, Xinyuan 27 Hochbruck, Marlis 25 Ostermann, Alexander 24 Wang, Bin 20 Ju, Lili 15 Schratz, Katharina 14 Wei, Yimin 13 Iserles, Arieh 13 Khaliq, Abdul Q. M. 13 Simoncini, Valeria 12 Caliari, Marco 12 Jimenez, Juan Carlos 12 Shi, Wei 11 Luan, Vu Thai 11 Tambue, Antoine 11 Weiner, Rüdiger 10 Moret, Igor 10 Novati, Paolo 10 Reichel, Lothar 10 Zhao, Xiaofei 9 Cano, Begoña 9 Liu, Kai 9 Lubich, Christian 9 Owolabi, Kolade Matthew 8 Einkemmer, Lukas 8 Garrappa, Roberto 8 Liu, Changying 8 Mei, Lijie 8 Turner, Ian William 8 Wieners, Christian 8 Zhao, Jingjun 7 Bao, Weizhu 7 Blanes, Sergio 7 Klein, Christian 7 Li, Xiao 7 Martín-Vaquero, Jesús 7 Su, Chunmei 7 Tokman, Mayya 7 Van Barel, Marc 7 Xu, Yang 6 Bentbib, Abdeslem Hafid 6 Botchev, Mike A. 6 Cai, Yongyong 6 Celledoni, Elena 6 Grimm, Volker 6 Güttel, Stefan 6 Kandolf, Peter 6 Kressner, Daniel 6 Li, Jiyong 6 Mukam, Jean Daniel 6 Podhaisky, Helmut 6 Popolizio, Marina 6 Schmitt, Bernhard A. 6 Schweitzer, Marcel 6 Sun, Haiwei 6 Wade, Bruce A. 5 Auzinger, Winfried 5 Gauckler, Ludwig J. 5 Lambers, James V. 5 Li, Dongping 5 Lord, Gabriel James 5 Qiao, Zhonghua 5 Sandu, Adrian 5 Szyld, Daniel B. 5 Vianello, Marco 5 Wensch, Jörg 5 You, Xiong 4 Atangana, Abdon 4 Bader, Philipp 4 Benner, Peter 4 Benzi, Michele 4 Bergamaschi, Luca 4 Bhatt, Harish P. 4 Biscay, Rolando J. 4 Carbonell, Felix 4 Casas, Fernando 4 Du, Qiang 4 Dujardin, Guillaume Michel 4 Furati, Khaled M. 4 Grote, Marcus J. 4 Hairer, Ernst 4 Hashimoto, Yuka 4 Huang, Ting-Zhu 4 Jahnke, Tobias 4 Jbilou, Khalide 4 Kleefeld, B. 4 Knizhnerman, Leonid 4 Koch, Othmar 4 Kropielnicka, Karolina 4 Leibold, Jan 4 Michels, Dominik Ludewig 4 Narayanamurthi, Mahesh 4 Nodera, Takashi 4 Pang, Hong-Kui 4 Patidar, Kailash C. 4 Pažur, Tomislav 4 Rainwater, Greg 4 Reguera, Nuria 4 Schnaubelt, Roland 4 Singh, Pranav ...and 1,063 more Authors all top 5 Cited in 149 Serials 89 Journal of Computational Physics 80 Journal of Computational and Applied Mathematics 61 Applied Numerical Mathematics 57 BIT 45 Applied Mathematics and Computation 41 SIAM Journal on Scientific Computing 40 Journal of Scientific Computing 31 Linear Algebra and its Applications 29 Numerische Mathematik 26 Computers & Mathematics with Applications 26 SIAM Journal on Numerical Analysis 24 Numerical Algorithms 20 Mathematics of Computation 18 Numerical Linear Algebra with Applications 17 Applied Mathematics Letters 14 SIAM Journal on Matrix Analysis and Applications 10 Mathematics and Computers in Simulation 10 International Journal of Computer Mathematics 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Computer Methods in Applied Mechanics and Engineering 8 Computational and Applied Mathematics 7 Foundations of Computational Mathematics 7 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Applied Mathematics and Computing 7 Communications in Computational Physics 6 Computer Physics Communications 6 Calcolo 6 ETNA. Electronic Transactions on Numerical Analysis 5 Journal of Mathematical Analysis and Applications 5 Chaos, Solitons and Fractals 5 Physica D 5 Japan Journal of Industrial and Applied Mathematics 5 Advances in Computational Mathematics 4 Computers and Fluids 4 Linear and Multilinear Algebra 4 Journal of Computational Mathematics 4 Numerical Methods for Partial Differential Equations 4 Discrete and Continuous Dynamical Systems 4 Multiscale Modeling & Simulation 4 Advances in Applied Mathematics and Mechanics 4 East Asian Journal on Applied Mathematics 3 International Journal of Control 3 Computing 3 Numerical Functional Analysis and Optimization 3 SIAM Review 3 Computational Methods in Applied Mathematics 3 Mediterranean Journal of Mathematics 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 International Journal for Numerical Methods in Engineering 2 Applied Mathematical Modelling 2 Pattern Recognition 2 Journal of Nonlinear Science 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Numerical Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 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 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Physics Letters. A 1 Wave Motion 1 Bulletin of Mathematical Biology 1 The Annals of Probability 1 Dissertationes Mathematicae 1 Journal of the American Statistical Association 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 1 ACM Transactions on Graphics 1 Journal of Complexity 1 Algorithmica 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Journal of Applied Mathematics and Stochastic Analysis 1 Computational Mathematics and Modeling 1 The Annals of Applied Probability 1 Computational Mathematics and Mathematical Physics 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 1 SIAM Journal on Optimization 1 Filomat 1 Journal of Inverse and Ill-Posed Problems ...and 49 more Serials all top 5 Cited in 41 Fields 832 Numerical analysis (65-XX) 283 Partial differential equations (35-XX) 143 Ordinary differential equations (34-XX) 98 Linear and multilinear algebra; matrix theory (15-XX) 63 Fluid mechanics (76-XX) 53 Dynamical systems and ergodic theory (37-XX) 42 Probability theory and stochastic processes (60-XX) 42 Optics, electromagnetic theory (78-XX) 40 Quantum theory (81-XX) 25 Operator theory (47-XX) 18 Biology and other natural sciences (92-XX) 18 Systems theory; control (93-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Computer science (68-XX) 15 Mechanics of deformable solids (74-XX) 13 Approximations and expansions (41-XX) 13 Geophysics (86-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Real functions (26-XX) 9 Mechanics of particles and systems (70-XX) 8 Integral equations (45-XX) 8 Operations research, mathematical programming (90-XX) 5 Special functions (33-XX) 5 Statistics (62-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Combinatorics (05-XX) 4 Information and communication theory, circuits (94-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-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 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-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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