Edit Profile (opens in new tab) Benner, Peter Co-Author Distance Author ID: benner.peter Published as: Benner, Peter; Benner, P. Homepage: https://www.mpi-magdeburg.mpg.de/benner External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 351 Publications since 1993, including 1 Book and 64 Additional arXiv Preprints 23 Contributions as Editor Co-Authors: 254 Co-Authors with 363 Joint Publications 5,126 Co-Co-Authors all top 5 Co-Authors 10 single-authored 39 Feng, Lihong 34 Goyal, Pawan 27 Saak, Jens 21 Quintana-Ortí, Enrique S. 19 Faßbender, Heike 19 Grundel, Sara M. 19 Stoll, Martin 16 Pontes Duff, Igor 15 Heiland, Jan 14 Mehrmann, Volker 12 Byers, Ralph 12 Quintana-Ortí, Gregorio 12 Werner, Steffen W. R. 11 Kürschner, Patrick 10 Breiten, Tobias 10 Gugercin, Serkan 9 Baur, Ulrike 8 Chellappa, Sridhar 8 Kressner, Daniel 8 Voigt, Matthias 8 Xu, Hongguo 8 Zuyev, Aleksandr Leonidovich 7 Himpe, Christian 7 Khoromskaia, Venera 7 Khoromskiĭ, Boris Nikolaevich 7 Rozza, Gianluigi 7 Stykel, Tatjana 7 Weichelt, Heiko K. 6 Ahmad, Mian Ilyas 6 Banagaaya, Nicodemus 6 Mayo, Rafael 6 Mena, Hermann 6 Mlinarić, Petar 6 Onwunta, Akwum 6 Redmann, Martin 6 Schilders, Wil H. A. 6 Trautwein, Christoph 5 Damm, Tobias 5 Dolgov, Sergey V. 5 Grivet-Talocia, Stefano 5 Kweyu, Cleophas M. 5 Mach, Thomas 5 Penke, Carolin 5 Quarteroni, Alfio M. 5 Silveira, Luís Miguel 5 Sima, Vasile 5 Stein, Matthias 5 Truhar, Ninoslav 5 Yücel, Hamdullah 4 Behr, Maximilian 4 Hess, Martin Wilfried 4 Hinze, Michael 4 Mitchell, Tim 4 Przybilla, Jennifer 4 Remón, Alfredo 4 Seidel-Morgenstern, Andreas 3 Antoulas, Athanasios C. 3 Badía, José M. 3 Bänsch, Eberhard 3 Baran, Björn 3 Bujanović, Zvonimir 3 de la Rubia, Valentín 3 Ezzatti, Pablo 3 Hernández, Vicente G. 3 Hossain, Mohammad-Sahadet 3 Klawonn, Axel 3 Li, Suzhou 3 Meuris, Peter 3 Ohlberger, Mario 3 Palitta, Davide 3 Sarna, Neeraj 3 Schneider, René 3 Schoenmaker, Wim 3 Sundmacher, Kai 3 Tischendorf, Caren 3 Tomljanović, Zoran 3 Van Dooren, Paul M. 3 Watkins, David S. 3 Weinhandl, Roman 3 Willcox, Karen E. 3 Yıldız, Süleyman 3 Yue, Yao 3 Zhang, Yongjin 2 Aliyev, Nicat 2 Beattie, Christopher A. 2 Cao, Xingang 2 Castillo, Maribel 2 Cherifi, Karim 2 Chuĭko, Sergeĭ Mikhaĭlovich 2 Clees, Tanja 2 Du, Xin 2 Embree, Mark 2 Filanova, Yevgeniya 2 Gosea, Ion Victor 2 Heinkenschloss, Matthias 2 Hornung, Nils 2 Jongsma, Hidde-Jan 2 Korvink, Jan G. 2 Liang, Xin 2 Losse, Philip ...and 154 more Co-Authors all top 5 Serials 17 SIAM Journal on Scientific Computing 15 Linear Algebra and its Applications 13 ETNA. Electronic Transactions on Numerical Analysis 11 SIAM Journal on Matrix Analysis and Applications 10 Advances in Computational Mathematics 8 Numerical Algorithms 7 Numerical Linear Algebra with Applications 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Mathematical and Computer Modelling of Dynamical Systems 7 PAMM. Proceedings in Applied Mathematics and Mechanics 6 IEEE Transactions on Automatic Control 6 Journal of Computational and Applied Mathematics 6 GAMM-Mitteilungen 5 Systems & Control Letters 4 Computer Methods in Applied Mechanics and Engineering 4 International Journal for Numerical Methods in Engineering 4 Numerische Mathematik 3 Journal of Computational Physics 3 BIT 3 MCSS. Mathematics of Control, Signals, and Systems 3 Computational Optimization and Applications 2 Computers & Mathematics with Applications 2 International Journal of Control 2 Journal of the Franklin Institute 2 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 2 ACM Transactions on Mathematical Software 2 Applied Mathematics and Computation 2 Automatica 2 Computing 2 SIAM Journal on Numerical Analysis 2 Parallel Computing 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Applied Mathematical Modelling 2 ELA. The Electronic Journal of Linear Algebra 2 Computing and Visualization in Science 2 Journal of Numerical Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 ISNM. International Series of Numerical Mathematics 2 Numerical Algebra, Control and Optimization 2 Journal of Mathematics in Industry 2 SIAM/ASA Journal on Uncertainty Quantification 1 IMA Journal of Numerical Analysis 1 International Journal of Systems Science 1 Journal of Mathematical Analysis and Applications 1 Ukrainian Mathematical Journal 1 Applied Mathematics and Optimization 1 Calcolo 1 Mathematische Nachrichten 1 SIAM Journal on Control and Optimization 1 COMPEL 1 Applied Mathematics Letters 1 Journal of Parallel and Distributed Computing 1 The Journal of Supercomputing 1 International Journal of Computer Mathematics 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 International Journal of Robust and Nonlinear Control 1 Journal of Mathematical Sciences (New York) 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Discrete and Continuous Dynamical Systems 1 Parallel Algorithms and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Stochastics and Dynamics 1 Journal of Applied Mathematics and Computing 1 Boundary Value Problems 1 Lecture Notes in Computational Science and Engineering 1 Mathematics in Industry 1 Computational Science & Engineering 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Networks and Heterogeneous Media 1 EURASIP Journal on Advances in Signal Processing 1 Applied and Computational Mathematics 1 Algorithms 1 MS&A. Modeling, Simulation and Applications 1 The Journal of Mathematical Neuroscience 1 International Journal for Uncertainty Quantification 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal of Computational Dynamics 1 Modeling and Simulation in Science, Engineering and Technology all top 5 Fields 206 Numerical analysis (65-XX) 150 Systems theory; control (93-XX) 80 Linear and multilinear algebra; matrix theory (15-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 31 Partial differential equations (35-XX) 27 Fluid mechanics (76-XX) 25 Ordinary differential equations (34-XX) 24 General and overarching topics; collections (00-XX) 16 Optics, electromagnetic theory (78-XX) 14 Computer science (68-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Probability theory and stochastic processes (60-XX) 12 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of particles and systems (70-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Information and communication theory, circuits (94-XX) 4 Operations research, mathematical programming (90-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 253 Publications have been cited 3,470 times in 1,658 Documents Cited by ▼ Year ▼ A survey of projection-based model reduction methods for parametric dynamical systems. Zbl 1339.37089 Benner, Peter; Gugercin, Serkan; Willcox, Karen 393 2015 Model reduction and approximation. Theory and algorithms. Zbl 1378.65010 123 2017 Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. Zbl 1212.65245 Benner, Peter; Li, Jing-Rebecca; Penzl, Thilo 108 2008 Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Zbl 1066.65004 98 2005 Lyapunov equations, energy functionals, and model order reduction of bilinear and stochastic systems. Zbl 1217.93158 Benner, Peter; Damm, Tobias 96 2011 Model order reduction for linear and nonlinear systems: a system-theoretic perspective. Zbl 1348.93075 Baur, Ulrike; Benner, Peter; Feng, Lihong 88 2014 On the ADI method for Sylvester equations. Zbl 1176.65050 Benner, Peter; Li, Ren-Cang; Truhar, Ninoslav 85 2009 Interpolatory projection methods for parameterized model reduction. Zbl 1254.93032 Baur, Ulrike; Beattie, Christopher; Benner, Peter; Gugercin, Serkan 76 2011 Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey. Zbl 1279.65044 Benner, Peter; Saak, Jens 74 2013 Interpolation-based \({\mathcal H}_2\)-model reduction of bilinear control systems. Zbl 1256.93027 Benner, Peter; Breiten, Tobias 64 2012 Solving stable generalized Lyapunov equations with the matrix sign function. Zbl 0940.65035 Benner, Peter; Quintana-Ortí, Enrique S. 47 1999 Low rank methods for a class of generalized Lyapunov equations and related issues. Zbl 1266.65068 Benner, Peter; Breiten, Tobias 45 2013 Two-sided projection methods for nonlinear model order reduction. Zbl 1312.93016 Benner, Peter; Breiten, Tobias 40 2015 An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem. Zbl 0884.65028 Benner, Peter; Faßbender, Heike 39 1997 A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils. Zbl 0889.65036 Benner, Peter; Mehrmann, Volker; Xu, Hongguo 37 1998 SLICOT – a subroutine library in systems and control theory. Zbl 1051.93500 Benner, Peter; Mehrmann, Volker; Sima, Vasile; Van Huffel, Sabine; Varga, Andras 35 1999 Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils. Zbl 1035.49022 Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 33 2002 \(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. Zbl 1418.93048 Benner, Peter; Goyal, Pawan; Gugercin, Serkan 33 2018 An exact line search method for solving generalized continuous-time algebraic Riccati equations. Zbl 0908.93026 Benner, Peter; Byers, Ralph 30 1998 Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations. Zbl 1312.65068 Benner, Peter; Kürschner, Patrick; Saak, Jens 30 2014 Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. Zbl 1267.65047 Benner, Peter; Kürschner, Patrick; Saak, Jens 29 2013 Cross-Gramian based model reduction for data-sparse systems. Zbl 1170.93315 Baur, Ulrike; Benner, Peter 28 2008 Model reduction for stochastic systems. Zbl 1331.65017 Benner, Peter; Redmann, Martin 28 2015 RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. Zbl 1385.65035 Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens 27 2018 Factorized solution of Lyapunov equations based on hierarchical matrix arithmetic. Zbl 1111.65039 Baur, U.; Benner, P. 27 2006 Rosenbrock methods for solving Riccati differential equations. Zbl 1369.65088 Benner, Peter; Mena, Hermann 27 2013 A robust algorithm for parametric model order reduction based on implicit moment matching. Zbl 1312.65109 Benner, Peter; Feng, Lihong 27 2014 Model order reduction of differential algebraic equations arising from the simulation of gas transport networks. Zbl 1319.65077 Grundel, Sara; Jansen, Lennart; Hornung, Nils; Clees, Tanja; Tischendorf, Caren; Benner, Peter 27 2014 Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. Zbl 1506.93015 Benner, Peter; Goyal, Pawan; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen 27 2020 Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001 26 2017 Model order reduction for PDE constrained optimization. Zbl 1327.49043 Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan 26 2014 Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data. Zbl 1423.76329 Benner, Peter; Dolgov, Sergey; Onwunta, Akwum; Stoll, Martin 26 2016 An improved numerical method for balanced truncation for symmetric second-order systems. Zbl 1305.93043 Benner, Peter; Kürschner, Patrick; Saak, Jens 25 2013 A semi-discretized heat transfer model for optimal cooling of steel profiles. Zbl 1170.80341 Benner, Peter; Saak, Jens 23 2005 Contributions to the numerical solution of algebraic Riccati equations and related eigenvalue problems. Zbl 0896.65047 Benner, Peter 22 1997 Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032 Benner, Peter; Mena, Hermann 22 2018 Cholesky-like factorizations of skew-symmetric matrices. Zbl 0963.65033 Benner, Peter; Byers, Ralph; Fassbender, Heike; Mehrmann, Volker; Watkins, David 22 2000 Large-scale computation of \(\mathcal{L}_\infty\)-norms by a greedy subspace method. Zbl 1379.65020 Aliyev, Nicat; Benner, Peter; Mengi, Emre; Schwerdtner, Paul; Voigt, Matthias 22 2017 Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flows. Zbl 1312.93083 Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K. 21 2015 Model order reduction for differential-algebraic equations: a survey. Zbl 1402.93069 Benner, Peter; Stykel, Tatjana 21 2017 An arithmetic for matrix pencils: theory and new algorithms. Zbl 1101.65046 Benner, Peter; Byers, Ralph 20 2006 Skew-Hamiltonian and Hamiltonian eigenvalue problems: theory, algorithms and applications. Zbl 1069.65034 Benner, Peter; Kressner, Daniel; Mehrmann, Volker 20 2005 Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016 Benner, Peter; Onwunta, Akwum; Stoll, Martin 20 2015 A robust numerical method for the \(\gamma\)-iteration in \(H_{\infty}\) control. Zbl 1124.93022 Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 19 2007 Frequency-limited balanced truncation with low-rank approximations. Zbl 1391.65123 Benner, Peter; Kürschner, Patrick; Saak, Jens 19 2016 On the numerical solution of large-scale sparse discrete-time Riccati equations. Zbl 1230.65070 Benner, Peter; Faßbender, Heike 18 2011 On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces. Zbl 1330.15017 Benner, Peter; Bujanović, Zvonimir 18 2016 Recycling BiCGSTAB with an application to parametric model order reduction. Zbl 1325.65044 Ahuja, Kapil; Benner, Peter; de Sturler, Eric; Feng, Lihong 18 2015 Computing real low-rank solutions of Sylvester equations by the factored ADI method. Zbl 1364.65093 Benner, Peter; Kürschner, Patrick 18 2014 Block-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs. Zbl 1382.65074 Benner, Peter; Onwunta, Akwum; Stoll, Martin 18 2016 Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems. Zbl 1230.93010 Benner, P.; Breiten, T.; Damm, T. 17 2011 Efficient balancing-based MOR for large-scale second-order systems. Zbl 1221.93039 Benner, Peter; Saak, Jens 17 2011 A new method for computing the stable invariant subspace of a real Hamiltonian matrix. Zbl 1005.65034 Benner, Peter; Mehrmann, Volker; Xu, Hongguo 17 1997 Balanced truncation model reduction of large-scale dense systems on parallel computers. Zbl 0978.93013 Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio 17 2000 Krylov-subspace based model reduction of nonlinear circuit models using bilinear and quadratic-linear approximations. Zbl 1246.78035 Benner, Peter; Breiten, Tobias 16 2012 Evaluating products of matrix pencils and collapsing matrix products. Zbl 1055.65053 Benner, Peter; Byers, Ralph 16 2001 \(\mathcal L_\infty\)-norm computation for continuous-time descriptor systems using structured matrix pencils. Zbl 1369.93174 Benner, Peter; Sima, Vasile; Voigt, Matthias 16 2012 Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. Zbl 1305.65158 Benner, Peter; Hossain, Mohammad-Sahadet; Stykel, Tatjana 16 2014 Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function. Zbl 1132.65033 Barrachina, Sergio; Benner, Peter; Quintana-Ortí, Enrique S. 15 2007 The symplectic eigenvalue problem, the butterfly form, the SR algorithm, and the Lanczos method. Zbl 0935.65030 Benner, Peter; Faßbender, Heike 15 1998 Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems. Zbl 1382.37105 Feng, Lihong; Antoulas, Athanasios C.; Benner, Peter 15 2017 An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations. Zbl 1346.65017 Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K. 15 2016 A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process. Zbl 1219.65040 Benner, Peter; Faßbender, Heike; Stoll, Martin 15 2011 Dual pairs of generalized Lyapunov inequalities and balanced truncation of stochastic linear systems. Zbl 1364.93112 Benner, Peter; Damm, Tobias; Rodriguez Cruz, Yolanda Rocio 15 2017 Range-separated tensor format for many-particle modeling. Zbl 1446.65202 Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris N. 14 2018 Perturbation analysis for the eigenvalue problem of a formal product of matrices. Zbl 1003.65032 Benner, Peter; Mehrmann, Volker; Xu, Hongguo 14 2002 Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Zbl 1349.65438 Bosch, Jessica; Stoll, Martin; Benner, Peter 14 2014 Dimension reduction for damping optimization in linear vibrating systems. Zbl 1370.70041 Benner, Peter; Tomljanović, Zoran; Truhar, Ninoslav 13 2011 On the parameter selection problem in the Newton-ADI iteration for large-scale Riccati equations. Zbl 1171.65402 Benner, Peter; Mena, Hermann; Saak, Jens 13 2008 Solving stable Sylvester equations via rational iterative schemes. Zbl 1098.65041 Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio 13 2006 An efficient output error estimation for model order reduction of parametrized evolution equations. Zbl 1382.65281 Zhang, Yongjin; Feng, Lihong; Li, Suzhou; Benner, Peter 13 2015 Numerical linear algebra methods for linear differential-algebraic equations. Zbl 1343.65100 Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias 13 2015 Optimal damping of selected eigenfrequencies using dimension reduction. Zbl 1289.70028 Benner, Peter; Tomljanović, Zoran; Truhar, Ninoslav 13 2013 Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control. Zbl 1330.93084 Benner, Peter; Saak, Jens; Monir Uddin, M. 12 2016 LQG-balanced truncation low-order controller for stabilization of laminar flows. Zbl 1308.76105 Benner, Peter; Heiland, Jan 12 2015 Uncertainty quantification for Maxwell’s equations using stochastic collocation and model order reduction. Zbl 1498.78026 Benner, Peter; Schneider, Judith 12 2015 A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems. Zbl 1437.65021 Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens 12 2020 Subspace recycling accelerates the parametric macro-modeling of MEMS. Zbl 1352.74479 Feng, Lihong; Benner, Peter; Korvink, Jan G. 11 2013 Identification of port-Hamiltonian systems from frequency response data. Zbl 1451.93063 Benner, Peter; Goyal, Pawan; Van Dooren, Paul 11 2020 Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004 11 2021 Parameter preserving model order reduction for MEMS applications. Zbl 1302.74063 Baur, U.; Benner, P.; Greiner, A.; Korvink, J. G.; Lienemann, J.; Moosmann, C. 11 2011 Partial realization of descriptor systems. Zbl 1113.93026 Benner, Peter; Sokolov, Viatcheslav I. 10 2006 An implicitly restarted symplectic Lanczos method for the symplectic eigenvalue problem. Zbl 0985.65026 Benner, Peter; Fassbender, Heike 10 2000 A note on the numerical solution of complex Hamiltonian and skew-Hamiltonian eigenvalue problems. Zbl 0936.65045 Benner, Peter; Mehrmann, Volker; Xu, Hongguo 10 1999 A structured pseudospectral method for \(\mathcal {H}_{\infty}\)-norm computation of large-scale descriptor systems. Zbl 1290.93083 Benner, Peter; Voigt, Matthias 10 2014 A reduced basis method for microwave semiconductor devices with geometric variations. Zbl 1358.78055 Hess, Martin W.; Benner, Peter 10 2014 Stabilization of incompressible flow problems by Riccati-based feedback. Zbl 1356.93077 Bänsch, Eberhard; Benner, Peter 10 2012 Numerical solution of discrete stable linear matrix equations on multicomputers. Zbl 1009.65039 Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio 10 2002 A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms. Zbl 1443.65380 Yücel, Hamdullah; Stoll, Martin; Benner, Peter 10 2015 Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions. Zbl 1461.49047 Benner, P.; Seidel-Morgenstern, A.; Zuyev, A. 10 2019 Efficient solution of large-scale saddle point systems arising in Riccati-based boundary feedback stabilization of incompressible Stokes flow. Zbl 1290.76059 Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K. 10 2013 A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms. Zbl 1225.65037 Benner, Peter; Ezzatti, Pablo; Kressner, Daniel; Quintana-Ortí, Enrique S.; Remón, Alfredo 9 2011 Space-time Galerkin POD with application in optimal control of semilinear partial differential equations. Zbl 1392.35323 Baumann, Manuel; Benner, Peter; Heiland, Jan 9 2018 Algorithm 854: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. II. Zbl 1365.65091 Benner, Peter; Kressner, Daniel 9 2006 Numerical solution of projected algebraic Riccati equations. Zbl 1298.65076 Benner, Peter; Stykel, Tatjana 9 2014 Multipoint interpolation of Volterra series and \(\mathcal{H}_2\)-model reduction for a family of bilinear descriptor systems. Zbl 1350.93024 Benner, Peter; Goyal, Pawan 9 2016 An \(\mathcal{H}_2\)-type error bound for balancing-related model order reduction of linear systems with Lévy noise. Zbl 1372.93185 Redmann, Martin; Benner, Peter 9 2017 Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. Zbl 1376.65045 Benner, Peter; Dolgov, Sergey; Khoromskaia, Venera; Khoromskij, Boris N. 9 2017 Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. Zbl 1336.93056 Benner, Peter; Kürschner, Patrick; Saak, Jens 9 2016 Model order reduction for coupled problems (survey). Zbl 1455.74003 Benner, Peter; Feng, Lihong 9 2015 A periodic boundary value problem with switchings under nonlinear perturbations. Zbl 07703193 Benner, Peter; Chuiko, Sergey; Zuyev, Alexander 3 2023 A low-rank solution method for Riccati equations with indefinite quadratic terms. Zbl 1506.65063 Benner, Peter; Heiland, Jan; Werner, Steffen W. R. 1 2023 Parallel algorithms for tensor train arithmetic. Zbl 1484.65088 Al Daas, Hussam; Ballard, Grey; Benner, Peter 7 2022 Operator inference and physics-informed learning of low-dimensional models for incompressible flows. Zbl 1505.76072 Benner, Peter; Goyal, Pawan; Heiland, Jan; Duff, Igor Pontes 3 2022 A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data. Zbl 1492.93037 Cherifi, Karim; Goyal, Pawan; Benner, Peter 3 2022 Palindromic linearization and numerical solution of nonsymmetric algebraic \(T\)-Riccati equations. Zbl 1507.65083 Benner, Peter; Iannazzo, Bruno; Meini, Beatrice; Palitta, Davide 3 2022 Robust output-feedback stabilization for incompressible flows using low-dimensional \(\mathcal{H}_{\infty}\)-controllers. Zbl 1490.93102 Benner, Peter; Heiland, Jan; Werner, Steffen W. R. 3 2022 An adaptive sampling approach for the reduced basis method. Zbl 1504.93036 Chellappa, Sridhar; Feng, Lihong; Benner, Peter 3 2022 Gramians, energy functionals, and balanced truncation for linear dynamical systems with quadratic outputs. Zbl 07480828 Benner, Peter; Goyal, Pawan; Pontes Duff, Igor 2 2022 Efficient and accurate algorithms for solving the Bethe-Salpeter eigenvalue problem for crystalline systems. Zbl 1473.65044 Benner, Peter; Penke, Carolin 2 2022 Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Zbl 1487.93006 1 2022 Stable and efficient computation of generalized polar decompositions. Zbl 1492.65116 Benner, Peter; Nakatsukasa, Yuji; Penke, Carolin 1 2022 Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004 11 2021 Interpolation-based model order reduction for polynomial systems. Zbl 1458.93041 Benner, Peter; Goyal, Pawan 8 2021 Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001 8 2021 Model order reduction. Volume 3: Applications. Zbl 1455.93002 8 2021 Model order reduction: basic concepts and notation. Zbl 1480.93046 Benner, Peter; Grivet-Talocia, Stefano; Quarteroni, Alfio; Rozza, Gianluigi; Schilders, Wil; Silveira, Luís Miguel 6 2021 Regularization of Poisson-Boltzmann-type equations with singular source terms using the range-separated tensor format. Zbl 1466.65180 Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris; Kweyu, Cleophas; Stein, Matthias 5 2021 Frequency- and time-limited balanced truncation for large-scale second-order systems. Zbl 1467.93050 Benner, Peter; Werner, Steffen W. R. 5 2021 On the solution of the nonsymmetric T-Riccati equation. Zbl 1459.15015 Benner, Peter; Palitta, Davide 5 2021 Matrix equations, sparse solvers: M-M.E.S.S.-2.0.1 – philosophy, features, and application for (parametric) model order reduction. Zbl 1480.93048 Benner, Peter; Köhler, Martin; Saak, Jens 4 2021 Model order reduction for gas and energy networks. Zbl 1490.93021 Himpe, Christian; Grundel, Sara; Benner, Peter 4 2021 Structure-preserving interpolation of bilinear control systems. Zbl 1470.93032 Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R. 4 2021 Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. Zbl 1458.93040 Asif, Mian Mohammad Arsalan; Ahmad, Mian Ilyas; Benner, Peter; Feng, Lihong; Stykel, Tatjana 4 2021 Data-driven model order reduction for problems with parameter-dependent jump-discontinuities. Zbl 1507.65210 Sarna, Neeraj; Benner, Peter 3 2021 MORLAB – the model order reduction laboratory. Zbl 1480.93049 Benner, Peter; Werner, Steffen W. R. 3 2021 On error estimation for reduced-order modeling of linear non-parametric and parametric systems. Zbl 1480.37086 Feng, Lihong; Benner, Peter 3 2021 Model order reduction for bilinear control systems with inhomogeneous initial conditions. Zbl 1478.93080 Cao, Xingang; Benner, Peter; Pontes Duff, Igor; Schilders, Wil 2 2021 Structure-preserving interpolation for model reduction of parametric bilinear systems. Zbl 1478.93079 Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R. 2 2021 A training set subsampling strategy for the reduced basis method. Zbl 1502.65262 Chellappa, Sridhar; Feng, Lihong; Benner, Peter 2 2021 Adaptive interpolatory MOR by learning the error estimator in the parameter domain. Zbl 1477.93124 Chellappa, Sridhar; Feng, Lihong; La Rubia, Valentín De; Benner, Peter 2 2021 Relative perturbation theory for quadratic Hermitian eigenvalue problems. Zbl 1470.65059 Benner, Peter; Liang, Xin; Miodragović, Suzana; Truhar, Ninoslav 2 2021 MathEnergy – mathematical key technologies for evolving energy grids. Zbl 1471.93045 Clees, Tanja; Baldin, Anton; Benner, Peter; Grundel, Sara; Himpe, Christian; Klaassen, Bernhard; Küsters, Ferdinand; Marheineke, Nicole; Nikitina, Lialia; Nikitin, Igor; Pade, Jonas; Stahl, Nadine; Strohm, Christian; Tischendorf, Caren; Wirsen, Andreas 2 2021 Model order reduction based on moment-matching. Zbl 07445313 Benner, Peter; Feng, Lihong 1 2021 Analysis of switching strategies for the optimization of periodic chemical reactions with controlled flow-rate. Zbl 1480.49023 Benner, Peter; Seidel-Morgenstern, Andreas; Zuyev, Alexander 1 2021 Topical issue scientific machine learning (1/2). Zbl 07778859 1 2021 On the eigenvalue distribution for a beam with attached masses. Zbl 1461.93178 Kalosha, Julia; Zuyev, Alexander; Benner, Peter 1 2021 Stabilization of crystallization models governed by hyperbolic systems. Zbl 1461.93393 Zuyev, Alexander; Benner, Peter 1 2021 A low-rank approach for nonlinear parameter-dependent fluid-structure interaction problems. Zbl 1478.74024 Benner, Peter; Richter, Thomas; Weinhandl, Roman 1 2021 Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. Zbl 1506.93015 Benner, Peter; Goyal, Pawan; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen 27 2020 A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems. Zbl 1437.65021 Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens 12 2020 Identification of port-Hamiltonian systems from frequency response data. Zbl 1451.93063 Benner, Peter; Goyal, Pawan; Van Dooren, Paul 11 2020 A subspace framework for \(\mathcal{H}_\infty \)-norm minimization. Zbl 1461.93123 Aliyev, Nicat; Benner, Peter; Mengi, Emre; Voigt, Matthias 6 2020 Index-aware MOR for gas transport networks. Zbl 1428.93025 Banagaaya, Nicodemus; Grundel, Sara; Benner, Peter 4 2020 Efficient numerical methods for gas network modeling and simulation. Zbl 1457.76013 Qiu, Yue; Grundel, Sara; Stoll, Martin; Benner, Peter 3 2020 Model order reduction of switched linear systems with constrained switching. Zbl 1428.93028 Gosea, Ion Victor; Duff, Igor Pontes; Benner, Peter; Antoulas, Athanasios C. 2 2020 Efficient solution of large-scale algebraic Riccati equations associated with index-2 DAEs via the inexact low-rank Newton-ADI method. Zbl 1462.76142 Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K. 2 2020 Hankel-norm approximation of large-scale descriptor systems. Zbl 1441.93044 Benner, Peter; Werner, Steffen W. R. 2 2020 Optimal distributed and tangential boundary control for the unsteady stochastic Stokes equations. Zbl 1451.76045 Benner, Peter; Trautwein, Christoph 1 2020 Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations. Zbl 1448.93039 Benner, Peter; Breiten, Tobias; Hartmann, Carsten; Schmidt, Burkhard 1 2020 New Gramians for switched linear systems: reachability, observability, and model reduction. Zbl 07256366 Duff, Igor Pontes; Grundel, Sara; Benner, Peter 1 2020 Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions. Zbl 1461.49047 Benner, P.; Seidel-Morgenstern, A.; Zuyev, A. 10 2019 Solution formulas for differential Sylvester and Lyapunov equations. Zbl 1432.15015 Behr, Maximilian; Benner, Peter; Heiland, Jan 9 2019 A low-rank inexact Newton-Krylov method for stochastic eigenvalue problems. Zbl 1420.65043 Benner, Peter; Onwunta, Akwum; Stoll, Martin 8 2019 Extended and improved criss-cross algorithms for computing the spectral value set abscissa and radius. Zbl 1457.93066 Benner, Peter; Mitchell, Tim 6 2019 Gas network benchmark models. Zbl 1445.76065 Benner, Peter; Grundel, Sara; Himpe, Christian; Huck, Christoph; Streubel, Tom; Tischendorf, Caren 6 2019 A bilinear \(\mathcal{H}_2\) model order reduction approach to linear parameter-varying systems. Zbl 1434.93011 Benner, Peter; Cao, Xingang; Schilders, Wil 6 2019 Cross-Gramian-based dominant subspaces. Zbl 1440.93043 Benner, Peter; Himpe, Christian 4 2019 Optimal control problems constrained by the stochastic Navier-Stokes equations with multiplicative Lévy noise. Zbl 1420.93036 Benner, Peter; Trautwein, Christoph 4 2019 Greedy low-rank algorithm for spatial connectome regression. Zbl 1437.92005 Kürschner, Patrick; Dolgov, Sergey; Harris, Kameron Decker; Benner, Peter 3 2019 Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation. Zbl 1451.65054 Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris N.; Yang, Chao 1 2019 Index-preserving model order reduction for differential-algebraic systems arising in gas transport networks. Zbl 1469.76083 Banagaaya, Nicodemus; Benner, Peter; Grundel, Sara 1 2019 \(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. Zbl 1418.93048 Benner, Peter; Goyal, Pawan; Gugercin, Serkan 33 2018 RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. Zbl 1385.65035 Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens 27 2018 Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032 Benner, Peter; Mena, Hermann 22 2018 Range-separated tensor format for many-particle modeling. Zbl 1446.65202 Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris N. 14 2018 Space-time Galerkin POD with application in optimal control of semilinear partial differential equations. Zbl 1392.35323 Baumann, Manuel; Benner, Peter; Heiland, Jan 9 2018 Faster and more accurate computation of the \(\mathcal{H}_\infty\) norm via optimization. Zbl 1401.93087 Benner, Peter; Mitchell, Tim 9 2018 Some remarks on the complex \(J\)-symmetric eigenproblem. Zbl 1392.65086 Benner, Peter; Faßbender, Heike; Yang, Chao 8 2018 Singular perturbation approximation for linear systems with Lévy noise. Zbl 1394.60047 Redmann, Martin; Benner, Peter 7 2018 On reduced input-output dynamic mode decomposition. Zbl 1405.93051 Benner, Peter; Himpe, Christian; Mitchell, Tim 7 2018 Low-rank eigenvector compression of posterior covariance matrices for linear Gaussian inverse problems. Zbl 1398.65057 Benner, Peter; Qiu, Yue; Stoll, Martin 6 2018 Exponential stability and stabilization of extended linearizations via continuous updates of Riccati-based feedback. Zbl 1390.93655 Benner, P.; Heiland, J. 3 2018 A linear quadratic control problem for the stochastic heat equation driven by Q-Wiener processes. Zbl 1370.93315 Benner, Peter; Trautwein, Christoph 3 2018 An index-aware parametric model order reduction method for parameterized quadratic differential-algebraic equations. Zbl 1426.65120 Banagaaya, Nicodemus; Benner, Peter; Feng, Lihong; Meuris, Peter; Schoenmaker, Wim 3 2018 An iterative model reduction scheme for quadratic-bilinear descriptor systems with an application to Navier-Stokes equations. Zbl 1416.76095 Benner, Peter; Goyal, Pawan 3 2018 Model reduction by iterative error system approximation. Zbl 1485.93090 Antoulas, A. C.; Benner, Peter; Feng, Lihong 2 2018 Model reduction of linear multi-agent systems by clustering with \(\mathcal H_2\) and \(\mathcal H_\infty \) error bounds. Zbl 1395.93134 Jongsma, Hidde-Jan; Mlinarić, Petar; Grundel, Sara; Benner, Peter; Trentelman, Harry L. 2 2018 \(\mathcal{L}_{\infty}\)-norm computation for large-scale descriptor systems using structured iterative eigensolvers. Zbl 1405.93028 Benner, Peter; Lowe, Ryan; Voigt, Matthias 2 2018 Numerical investigation of Newton’s method for solving discrete-time algebraic Riccati equations. Zbl 07765455 Sima, Vasile; Benner, Peter 1 2018 A direct index 1 DAE model of gas networks. Zbl 1416.78021 Benner, Peter; Braukmüller, Maike; Grundel, Sara 1 2018 Optimal control of a Stefan problem fully coupled with incompressible Navier-Stokes equations and mesh movement. Zbl 1438.49050 Baran, Björn; Benner, Peter; Heiland, Jan; Saak, Jens 1 2018 Model reduction and approximation. Theory and algorithms. Zbl 1378.65010 123 2017 Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001 26 2017 Large-scale computation of \(\mathcal{L}_\infty\)-norms by a greedy subspace method. Zbl 1379.65020 Aliyev, Nicat; Benner, Peter; Mengi, Emre; Schwerdtner, Paul; Voigt, Matthias 22 2017 Model order reduction for differential-algebraic equations: a survey. Zbl 1402.93069 Benner, Peter; Stykel, Tatjana 21 2017 Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems. Zbl 1382.37105 Feng, Lihong; Antoulas, Athanasios C.; Benner, Peter 15 2017 Dual pairs of generalized Lyapunov inequalities and balanced truncation of stochastic linear systems. Zbl 1364.93112 Benner, Peter; Damm, Tobias; Rodriguez Cruz, Yolanda Rocio 15 2017 An \(\mathcal{H}_2\)-type error bound for balancing-related model order reduction of linear systems with Lévy noise. Zbl 1372.93185 Redmann, Martin; Benner, Peter 9 2017 Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. Zbl 1376.65045 Benner, Peter; Dolgov, Sergey; Khoromskaia, Venera; Khoromskij, Boris N. 9 2017 Krylov subspace-based model reduction for a class of bilinear descriptor systems. Zbl 1402.65083 Ahmad, Mian Ilyas; Benner, Peter; Goyal, Pawan 8 2017 Adaptive symmetric interior penalty Galerkin method for boundary control problems. Zbl 1362.65122 Benner, Peter; Yücel, Hamdullah 7 2017 Truncated Gramians for bilinear systems and their advantages in model order reduction. Zbl 1384.93028 Benner, Peter; Goyal, Pawan; Redmann, Martin 6 2017 Implicit Volterra series interpolation for model reduction of bilinear systems. Zbl 1377.93052 Ahmad, Mian Ilyas; Baur, Ulrike; Benner, Peter 6 2017 Structure preserving iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. Zbl 1377.93053 Benner, Peter; Hossain, Mohammad-Sahadet 4 2017 Reduced basis approximations for Maxwell’s equations in dispersive media. Zbl 1388.78018 Benner, Peter; Hess, Martin 2 2017 System reduction for nanoscale IC design. Zbl 1367.65003 2 2017 Trigonometric spline and spectral bounds for the solution of linear time-periodic systems. Zbl 1385.65045 Benner, Peter; Denißen, Jonas; Kohaupt, Ludwig 1 2017 Moment-matching based model reduction for Navier-Stokes type quadratic-bilinear descriptor systems. Zbl 07775416 Ahmad, Mian Ilyas; Benner, Peter; Goyal, Pawan; Heiland, Jan 1 2017 Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data. Zbl 1423.76329 Benner, Peter; Dolgov, Sergey; Onwunta, Akwum; Stoll, Martin 26 2016 ...and 153 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,264 Authors 177 Benner, Peter 39 Jiang, Yaolin 36 Gugercin, Serkan 35 Mehrmann, Volker 32 Rozza, Gianluigi 28 Peherstorfer, Benjamin 24 Redmann, Martin 24 Stoll, Martin 22 Feng, Lihong 22 Saak, Jens 22 Simoncini, Valeria 22 Stykel, Tatjana 22 Willcox, Karen E. 20 Breiten, Tobias 20 Kressner, Daniel 19 Faßbender, Heike 19 Kürschner, Patrick 18 Beattie, Christopher A. 16 Brunton, Steven L. 16 Kutz, J. Nathan 15 Grundel, Sara M. 14 Haasdonk, Bernard 14 Manzoni, Andrea 14 Mena, Hermann 14 Quintana-Ortí, Enrique S. 14 Tomljanović, Zoran 13 Dolgov, Sergey V. 13 Gosea, Ion Victor 13 Goyal, Pawan 13 Jbilou, Khalide 13 Khoromskiĭ, Boris Nikolaevich 13 Voigt, Matthias 12 Antoulas, Athanasios C. 12 Eberhard, Peter 12 Heinkenschloss, Matthias 12 Hesthaven, Jan S. 12 Krämer, Boris 12 Pulch, Roland 11 Alla, Alessandro 11 Heiland, Jan 11 Quarteroni, Alfio M. 11 Truhar, Ninoslav 11 Van Dooren, Paul M. 10 Ballarin, Francesco 10 Hajarian, Masoud 10 King-wah Chu, Eric 10 Mitchell, Tim 10 Palitta, Davide 10 Stabile, Giovanni 10 Xiao, Zhihua 9 de Sturler, Eric 9 Himpe, Christian 9 Lin, Wen-Wei 9 Ma, Changfeng 9 Werner, Steffen W. R. 9 Xu, Hongguo 9 Xu, Kangli 9 Yadykin, Igor Borisovich 8 Ahmad, Mian Ilyas 8 Chen, Peng 8 Fan, Hung-Yuan 8 Freitag, Melina A. 8 Kunisch, Karl 8 Poloni, Federico Giovanni 8 Pontes Duff, Igor 8 Robol, Leonardo 8 Singler, John R. 8 Unger, Benjamin 8 Watkins, David S. 8 Yücel, Hamdullah 7 Choi, Youngsoo 7 Du, Xin 7 Huang, Ting-Zhu 7 Jarlebring, Elias 7 Karasözen, Bülent 7 Lanteri, Stéphane 7 Li, Kun 7 Li, Liang 7 Luo, Zhendong 7 Marheineke, Nicole 7 Mehl, Christian 7 Narayan, Akil C. 7 Nouy, Anthony 7 Ohlberger, Mario 7 Reis, Timo 7 Uddin, Mohammad Monir 7 Uzunca, Murat 7 Wang, Xiaolong 7 Zhang, Zhiwen 7 Zimmermann, Ralf 6 Antil, Harbir 6 Baur, Ulrike 6 Bentbib, Abdeslem Hafid 6 Carlberg, Kevin T. 6 Chen, Xiaoshan 6 Damm, Tobias 6 Dehghan Takht Fooladi, Mehdi 6 Drmač, Zlatko 6 Elman, Howard C. 6 Fehr, Jörg ...and 2,164 more Authors all top 5 Cited in 232 Serials 111 SIAM Journal on Scientific Computing 89 Linear Algebra and its Applications 87 Journal of Computational Physics 78 Computer Methods in Applied Mechanics and Engineering 63 Journal of Computational and Applied Mathematics 55 SIAM Journal on Matrix Analysis and Applications 47 Advances in Computational Mathematics 46 Journal of Scientific Computing 38 Applied Mathematics and Computation 35 Journal of the Franklin Institute 32 Numerical Algorithms 29 Computers & Mathematics with Applications 27 Applied Numerical Mathematics 26 Systems & Control Letters 25 International Journal of Control 25 Automatica 23 BIT 21 Numerical Linear Algebra with Applications 21 SIAM/ASA Journal on Uncertainty Quantification 19 SIAM Journal on Control and Optimization 19 Mathematical and Computer Modelling of Dynamical Systems 18 Numerische Mathematik 15 International Journal for Numerical Methods in Engineering 15 Computational and Applied Mathematics 13 Applied Mathematical Modelling 13 ETNA. 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The Electronic Journal of Linear Algebra 5 Advances in Difference Equations 5 East Asian Journal on Applied Mathematics 4 Calcolo 4 Circuits, Systems, and Signal Processing 4 Applications of Mathematics 4 SIAM Journal on Optimization 4 European Journal of Control 4 Doklady Mathematics 4 Computing and Visualization in Science 4 Journal of Numerical Mathematics 4 Journal of Applied Mathematics and Computing 4 Multiscale Modeling & Simulation 4 Oberwolfach Reports 4 Journal of Industrial and Management Optimization 4 Algorithms 4 Asian Journal of Control 4 Mathematical Control and Related Fields 4 Journal of Mathematics in Industry 4 Journal of Mathematical Modeling 3 ACM Transactions on Mathematical Software 3 Applied Mathematics and Optimization 3 International Journal of Robust and Nonlinear Control 3 Nonlinear Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. 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Mathematical Models & Methods in Applied Sciences 2 Journal of Nonlinear Science 2 Turkish Journal of Mathematics 2 Filomat ...and 132 more Serials all top 5 Cited in 54 Fields 1,039 Numerical analysis (65-XX) 524 Systems theory; control (93-XX) 362 Linear and multilinear algebra; matrix theory (15-XX) 257 Partial differential equations (35-XX) 187 Fluid mechanics (76-XX) 168 Calculus of variations and optimal control; optimization (49-XX) 87 Dynamical systems and ergodic theory (37-XX) 84 Computer science (68-XX) 80 Ordinary differential equations (34-XX) 79 Mechanics of deformable solids (74-XX) 73 Probability theory and stochastic processes (60-XX) 71 Operations research, mathematical programming (90-XX) 59 Statistics (62-XX) 59 Optics, electromagnetic theory (78-XX) 41 Approximations and expansions (41-XX) 41 Operator theory (47-XX) 40 Biology and other natural sciences (92-XX) 39 Mechanics of particles and systems (70-XX) 19 Classical thermodynamics, heat transfer (80-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Information and communication theory, circuits (94-XX) 11 Functions of a complex variable (30-XX) 10 General and overarching topics; collections (00-XX) 10 Functional analysis (46-XX) 10 Differential geometry (53-XX) 10 Geophysics (86-XX) 7 Combinatorics (05-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Quantum theory (81-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Special functions (33-XX) 5 Topological groups, Lie groups (22-XX) 5 Difference and functional equations (39-XX) 4 Group theory and generalizations (20-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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