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: 339 Publications since 1993, including 1 Book and 37 Additional arXiv Preprints 23 Contributions as Editor Software Indexed: 11 Packages Co-Authors: 252 Co-Authors with 351 Joint Publications 5,159 Co-Co-Authors all top 5 Co-Authors 10 single-authored 41 Feng, Lihong 28 Goyal, Pawan 27 Saak, Jens 21 Quintana-Ortí, Enrique S. 19 Faßbender, Heike 18 Stoll, Martin 16 Grundel, Sara M. 14 Heiland, Jan 14 Mehrmann, Volker 12 Byers, Ralph 12 Pontes Duff, Igor 12 Quintana-Ortí, Gregorio 11 Kürschner, Patrick 11 Werner, Steffen W. R. 10 Breiten, Tobias 10 Chellappa, Sridhar 9 Baur, Ulrike 9 Zuyev, Aleksandr Leonidovich 8 Gugercin, Serkan 8 Kressner, Daniel 8 Xu, Hongguo 7 Khoromskaia, Venera 7 Khoromskiĭ, Boris Nikolaevich 7 Rozza, Gianluigi 7 Schilders, Wil H. A. 7 Stykel, Tatjana 7 Voigt, Matthias 7 Weichelt, Heiko K. 6 Ahmad, Mian Ilyas 6 Banagaaya, Nicodemus 6 Himpe, Christian 6 Mayo, Rafael 6 Mena, Hermann 6 Onwunta, Akwum 6 Redmann, Martin 6 Trautwein, Christoph 5 Damm, Tobias 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 Dolgov, Sergey V. 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 Behr, Maximilian 3 Bujanović, Zvonimir 3 de la Rubia, Valentín 3 Ezzatti, Pablo 3 Forootani, Ali 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 Yue, Yao 3 Zhang, Yongjin 2 Aliyev, Nicat 2 Antonini, Giulio 2 Beattie, Christopher A. 2 Cao, Xingang 2 Castillo, Maribel 2 Chuĭko, Sergeĭ Mikhaĭlovich 2 Clees, Tanja 2 Embree, Mark 2 Filanova, Yevgeniya 2 Gosea, Ion Victor 2 Heinkenschloss, Matthias 2 Hornung, Nils 2 Kapadia, Harshit 2 Korvink, Jan G. 2 Liang, Xin 2 Lombardi, Luigi 2 Losse, Philip 2 Meini, Beatrice ...and 152 more Co-Authors all top 5 Serials 18 SIAM Journal on Scientific Computing 15 Linear Algebra and its Applications 14 Advances in Computational Mathematics 13 ETNA. Electronic Transactions on Numerical Analysis 12 SIAM Journal on Matrix Analysis and Applications 8 Numerical Algorithms 7 International Journal for Numerical Methods in Engineering 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 Systems & Control Letters 6 GAMM-Mitteilungen 5 Computer Methods in Applied Mechanics and Engineering 5 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 Computers and Fluids 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 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 SIAM Journal on Control and Optimization 1 Physica D 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 International Journal of Nonlinear Sciences and Numerical Simulation 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 211 Numerical analysis (65-XX) 155 Systems theory; control (93-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 33 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 24 General and overarching topics; collections (00-XX) 23 Ordinary differential equations (34-XX) 17 Computer science (68-XX) 16 Optics, electromagnetic theory (78-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Probability theory and stochastic processes (60-XX) 11 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 7 Mechanics of particles and systems (70-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Approximations and expansions (41-XX) 4 Operations research, mathematical programming (90-XX) 3 Operator theory (47-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Sequences, series, summability (40-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 271 Publications have been cited 4,144 times in 1,988 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 461 2015 Model reduction and approximation. Theory and algorithms. Zbl 1378.65010 219 2017 Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Zbl 1066.65004 138 2005 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 118 2008 Lyapunov equations, energy functionals, and model order reduction of bilinear and stochastic systems. Zbl 1217.93158 Benner, Peter; Damm, Tobias 106 2011 Model order reduction for linear and nonlinear systems: a system-theoretic perspective. Zbl 1348.93075 Baur, Ulrike; Benner, Peter; Feng, Lihong 102 2014 On the ADI method for Sylvester equations. Zbl 1176.65050 Benner, Peter; Li, Ren-Cang; Truhar, Ninoslav 91 2009 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 85 2013 Interpolatory projection methods for parameterized model reduction. Zbl 1254.93032 Baur, Ulrike; Beattie, Christopher; Benner, Peter; Gugercin, Serkan 83 2011 Interpolation-based \({\mathcal H}_2\)-model reduction of bilinear control systems. Zbl 1256.93027 Benner, Peter; Breiten, Tobias 71 2012 Two-sided projection methods for nonlinear model order reduction. Zbl 1312.93016 Benner, Peter; Breiten, Tobias 56 2015 Solving stable generalized Lyapunov equations with the matrix sign function. Zbl 0940.65035 Benner, Peter; Quintana-Ortí, Enrique S. 50 1999 Low rank methods for a class of generalized Lyapunov equations and related issues. Zbl 1266.65068 Benner, Peter; Breiten, Tobias 50 2013 \(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. Zbl 1418.93048 Benner, Peter; Goyal, Pawan; Gugercin, Serkan 43 2018 An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem. Zbl 0884.65028 Benner, Peter; Faßbender, Heike 40 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 40 1998 SLICOT – a subroutine library in systems and control theory. Zbl 1051.93500 Benner, Peter; Mehrmann, Volker; Sima, Vasile; Van Huffel, Sabine; Varga, Andras 37 1999 Contributions to the numerical solution of algebraic Riccati equations and related eigenvalue problems. Zbl 0896.65047 Benner, Peter 37 1997 Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations. Zbl 1312.65068 Benner, Peter; Kürschner, Patrick; Saak, Jens 37 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 33 2016 Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils. Zbl 1035.49022 Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo 33 2002 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 33 2020 An exact line search method for solving generalized continuous-time algebraic Riccati equations. Zbl 0908.93026 Benner, Peter; Byers, Ralph 32 1998 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 32 2017 Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. Zbl 1267.65047 Benner, Peter; Kürschner, Patrick; Saak, Jens 32 2013 A robust algorithm for parametric model order reduction based on implicit moment matching. Zbl 1312.65109 Benner, Peter; Feng, Lihong 31 2014 RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. Zbl 1385.65035 Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens 31 2018 Cross-Gramian based model reduction for data-sparse systems. Zbl 1170.93315 Baur, Ulrike; Benner, Peter 31 2008 Model order reduction for PDE constrained optimization. Zbl 1327.49043 Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan 30 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 30 2014 Rosenbrock methods for solving Riccati differential equations. Zbl 1369.65088 Benner, Peter; Mena, Hermann 30 2013 Factorized solution of Lyapunov equations based on hierarchical matrix arithmetic. Zbl 1111.65039 Baur, U.; Benner, P. 29 2006 Model reduction for stochastic systems. Zbl 1331.65017 Benner, Peter; Redmann, Martin 28 2015 Frequency-limited balanced truncation with low-rank approximations. Zbl 1391.65123 Benner, Peter; Kürschner, Patrick; Saak, Jens 27 2016 An improved numerical method for balanced truncation for symmetric second-order systems. Zbl 1305.93043 Benner, Peter; Kürschner, Patrick; Saak, Jens 26 2013 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 26 2017 Model order reduction for differential-algebraic equations: a survey. Zbl 1402.93069 Benner, Peter; Stykel, Tatjana 26 2017 Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016 Benner, Peter; Onwunta, Akwum; Stoll, Martin 25 2015 A semi-discretized heat transfer model for optimal cooling of steel profiles. Zbl 1170.80341 Benner, Peter; Saak, Jens 24 2005 Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flows. Zbl 1312.93083 Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K. 24 2015 Skew-Hamiltonian and Hamiltonian eigenvalue problems: theory, algorithms and applications. Zbl 1069.65034 Benner, Peter; Kressner, Daniel; Mehrmann, Volker 22 2005 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 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. 21 2016 Computing real low-rank solutions of Sylvester equations by the factored ADI method. Zbl 1364.65093 Benner, Peter; Kürschner, Patrick 21 2014 An arithmetic for matrix pencils: theory and new algorithms. Zbl 1101.65046 Benner, Peter; Byers, Ralph 21 2006 On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces. Zbl 1330.15017 Benner, Peter; Bujanović, Zvonimir 20 2016 Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004 20 2021 Recycling BiCGSTAB with an application to parametric model order reduction. Zbl 1325.65044 Ahuja, Kapil; Benner, Peter; de Sturler, Eric; Feng, Lihong 19 2015 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 19 2014 Block-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs. Zbl 1382.65074 Benner, Peter; Onwunta, Akwum; Stoll, Martin 19 2016 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 Efficient balancing-based MOR for large-scale second-order systems. Zbl 1221.93039 Benner, Peter; Saak, Jens 19 2011 Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems. Zbl 1230.93010 Benner, P.; Breiten, T.; Damm, T. 19 2011 Optimal damping of selected eigenfrequencies using dimension reduction. Zbl 1289.70028 Benner, Peter; Tomljanović, Zoran; Truhar, Ninoslav 18 2013 Dimension reduction for damping optimization in linear vibrating systems. Zbl 1370.70041 Benner, Peter; Tomljanović, Zoran; Truhar, Ninoslav 18 2011 On the numerical solution of large-scale sparse discrete-time Riccati equations. Zbl 1230.65070 Benner, Peter; Faßbender, Heike 18 2011 Balanced truncation model reduction of large-scale dense systems on parallel computers. Zbl 0978.93013 Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio 18 2000 Evaluating products of matrix pencils and collapsing matrix products. Zbl 1055.65053 Benner, Peter; Byers, Ralph 18 2001 An efficient output error estimation for model order reduction of parametrized evolution equations. Zbl 1382.65281 Zhang, Yongjin; Feng, Lihong; Li, Suzhou; Benner, Peter 17 2015 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 \(\mathcal L_\infty\)-norm computation for continuous-time descriptor systems using structured matrix pencils. Zbl 1369.93174 Benner, Peter; Sima, Vasile; Voigt, Matthias 17 2012 Krylov-subspace based model reduction of nonlinear circuit models using bilinear and quadratic-linear approximations. Zbl 1246.78035 Benner, Peter; Breiten, Tobias 17 2012 The symplectic eigenvalue problem, the butterfly form, the SR algorithm, and the Lanczos method. Zbl 0935.65030 Benner, Peter; Faßbender, Heike 16 1998 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 16 2020 Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems. Zbl 1382.37105 Feng, Lihong; Antoulas, Athanasios C.; Benner, Peter 16 2017 Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function. Zbl 1132.65033 Barrachina, Sergio; Benner, Peter; Quintana-Ortí, Enrique S. 16 2007 A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process. Zbl 1219.65040 Benner, Peter; Faßbender, Heike; Stoll, Martin 16 2011 Uncertainty quantification for Maxwell’s equations using stochastic collocation and model order reduction. Zbl 1498.78026 Benner, Peter; Schneider, Judith 16 2015 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 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 15 2015 Range-separated tensor format for many-particle modeling. Zbl 1446.65202 Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris N. 15 2018 Solving stable Sylvester equations via rational iterative schemes. Zbl 1098.65041 Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio 15 2006 Perturbation analysis for the eigenvalue problem of a formal product of matrices. Zbl 1003.65032 Benner, Peter; Mehrmann, Volker; Xu, Hongguo 15 2002 Numerical linear algebra methods for linear differential-algebraic equations. Zbl 1343.65100 Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias 14 2015 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 Identification of port-Hamiltonian systems from frequency response data. Zbl 1451.93063 Benner, Peter; Goyal, Pawan; Van Dooren, Paul 14 2020 Interpolation-based model order reduction for polynomial systems. Zbl 1458.93041 Benner, Peter; Goyal, Pawan 14 2021 On the parameter selection problem in the Newton-ADI iteration for large-scale Riccati equations. Zbl 1171.65402 Benner, Peter; Mena, Hermann; Saak, Jens 14 2008 Solution formulas for differential Sylvester and Lyapunov equations. Zbl 1432.15015 Behr, Maximilian; Benner, Peter; Heiland, Jan 14 2019 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. 13 2016 LQG-balanced truncation low-order controller for stabilization of laminar flows. Zbl 1308.76105 Benner, Peter; Heiland, Jan 13 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. 13 2019 A structured pseudospectral method for \(\mathcal {H}_{\infty}\)-norm computation of large-scale descriptor systems. Zbl 1290.93083 Benner, Peter; Voigt, Matthias 12 2014 Model order reduction for coupled problems (survey). Zbl 1455.74003 Benner, Peter; Feng, Lihong 12 2015 Parameter preserving model order reduction for MEMS applications. Zbl 1302.74063 Baur, U.; Benner, P.; Greiner, A.; Korvink, J. G.; Lienemann, J.; Moosmann, C. 12 2011 Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001 12 2021 Model order reduction. Volume 3: Applications. Zbl 1455.93002 12 2021 Subspace recycling accelerates the parametric macro-modeling of MEMS. Zbl 1352.74479 Feng, Lihong; Benner, Peter; Korvink, Jan G. 12 2013 Trends in PDE constrained optimization. Zbl 1306.49001 12 2014 Stabilization of incompressible flow problems by Riccati-based feedback. Zbl 1356.93077 Bänsch, Eberhard; Benner, Peter 11 2012 A note on the numerical solution of complex Hamiltonian and skew-Hamiltonian eigenvalue problems. Zbl 0936.65045 Benner, Peter; Mehrmann, Volker; Xu, Hongguo 11 1999 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. 11 2013 A reduced basis method for microwave semiconductor devices with geometric variations. Zbl 1358.78055 Hess, Martin W.; Benner, Peter 11 2014 An implicitly restarted symplectic Lanczos method for the symplectic eigenvalue problem. Zbl 0985.65026 Benner, Peter; Fassbender, Heike 11 2000 Partial stabilization of descriptor systems using spectral projectors. Zbl 1250.93061 Benner, Peter 11 2011 Numerical solution of projected algebraic Riccati equations. Zbl 1298.65076 Benner, Peter; Stykel, Tatjana 10 2014 Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. Zbl 1336.93056 Benner, Peter; Kürschner, Patrick; Saak, Jens 10 2016 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 10 2016 Space-time Galerkin POD with application in optimal control of semilinear partial differential equations. Zbl 1392.35323 Baumann, Manuel; Benner, Peter; Heiland, Jan 10 2018 Active-learning-driven surrogate modeling for efficient simulation of parametric nonlinear systems. Zbl 1536.65127 Kapadia, Harshit; Feng, Lihong; Benner, Peter 3 2024 Adjacency-based, non-intrusive model reduction for vortex-induced vibrations. Zbl 07875893 Gkimisis, Leonidas; Richter, Thomas; Benner, Peter 1 2024 Model reduction for second-order systems with inhomogeneous initial conditions. Zbl 1536.93112 Przybilla, Jennifer; Pontes Duff, Igor; Benner, Peter 1 2024 Structured interpolation for multivariate transfer functions of quadratic-bilinear systems. Zbl 1536.93106 Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R. 1 2024 A periodic boundary value problem with switchings under nonlinear perturbations. Zbl 1531.34022 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. 2 2023 A unifying framework for tangential interpolation of structured bilinear control systems. Zbl 1533.93084 Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R. 2 2023 On an integrated Krylov-ADI solver for large-scale Lyapunov equations. Zbl 07644383 Benner, Peter; Palitta, Davide; Saak, Jens 1 2023 Multi-fidelity error estimation accelerates greedy model reduction of complex dynamical systems. Zbl 07801065 Feng, Lihong; Lombardi, Luigi; Antonini, Giulio; Benner, Peter 1 2023 Parallel algorithms for tensor train arithmetic. Zbl 1484.65088 Al Daas, Hussam; Ballard, Grey; Benner, Peter 8 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. 6 2022 A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data. Zbl 1492.93037 Cherifi, Karim; Goyal, Pawan; Benner, Peter 6 2022 An adaptive sampling approach for the reduced basis method. Zbl 1504.93036 Chellappa, Sridhar; Feng, Lihong; Benner, Peter 5 2022 Data-driven identification of Rayleigh-damped second-order systems. Zbl 1504.93062 Duff, Igor Pontes; Goyal, Pawan; Benner, Peter 5 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 5 2022 Gramians, energy functionals, and balanced truncation for linear dynamical systems with quadratic outputs. Zbl 1537.93109 Benner, Peter; Goyal, Pawan; Pontes Duff, Igor 4 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 Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Zbl 1487.93006 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 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 20 2021 Interpolation-based model order reduction for polynomial systems. Zbl 1458.93041 Benner, Peter; Goyal, Pawan 14 2021 Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001 12 2021 Model order reduction. Volume 3: Applications. Zbl 1455.93002 12 2021 Structure-preserving interpolation of bilinear control systems. Zbl 1470.93032 Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R. 10 2021 MORLAB – the model order reduction laboratory. Zbl 1480.93049 Benner, Peter; Werner, Steffen W. R. 7 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 7 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 7 2021 Frequency- and time-limited balanced truncation for large-scale second-order systems. Zbl 1467.93050 Benner, Peter; Werner, Steffen W. R. 6 2021 On the solution of the nonsymmetric T-Riccati equation. Zbl 1459.15015 Benner, Peter; Palitta, Davide 5 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 5 2021 On error estimation for reduced-order modeling of linear non-parametric and parametric systems. Zbl 1480.37086 Feng, Lihong; Benner, Peter 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 5 2021 Model order reduction for bilinear control systems with inhomogeneous initial conditions. Zbl 1478.93080 Cao, Xingang; Benner, Peter; Pontes Duff, Igor; Schilders, Wil 5 2021 Model order reduction for gas and energy networks. Zbl 1490.93021 Himpe, Christian; Grundel, Sara; Benner, Peter 4 2021 Model order reduction for delay systems by iterative interpolation. Zbl 07863087 Alfke, Dominik; Feng, Lihong; Lombardi, Luigi; Antonini, Giulio; Benner, Peter 3 2021 Data-driven model order reduction for problems with parameter-dependent jump-discontinuities. Zbl 1507.65210 Sarna, Neeraj; Benner, Peter 3 2021 Structure-preserving interpolation for model reduction of parametric bilinear systems. Zbl 1478.93079 Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R. 3 2021 A training set subsampling strategy for the reduced basis method. Zbl 1502.65262 Chellappa, Sridhar; Feng, Lihong; Benner, Peter 3 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 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 A low-rank approach for nonlinear parameter-dependent fluid-structure interaction problems. Zbl 1478.74024 Benner, Peter; Richter, Thomas; Weinhandl, Roman 2 2021 Relative perturbation theory for quadratic Hermitian eigenvalue problems. Zbl 1470.65059 Benner, Peter; Liang, Xin; Miodragović, Suzana; Truhar, Ninoslav 2 2021 Stabilization of crystallization models governed by hyperbolic systems. Zbl 1461.93393 Zuyev, Alexander; Benner, Peter 2 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 On the eigenvalue distribution for a beam with attached masses. Zbl 1461.93178 Kalosha, Julia; Zuyev, Alexander; Benner, Peter 1 2021 Model order reduction based on moment-matching. Zbl 07445313 Benner, Peter; Feng, Lihong 1 2021 A stochastic maximum principle for control problems constrained by the stochastic Navier-Stokes equations. Zbl 1477.35117 Benner, Peter; Trautwein, Christoph 1 2021 Preface: Topical issue scientific machine learning. I. Zbl 1538.00011 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 33 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 16 2020 Identification of port-Hamiltonian systems from frequency response data. Zbl 1451.93063 Benner, Peter; Goyal, Pawan; Van Dooren, Paul 14 2020 Adaptive basis construction and improved error estimation for parametric nonlinear dynamical systems. Zbl 07864078 Chellappa, Sridhar; Feng, Lihong; Benner, Peter 8 2020 A subspace framework for \(\mathcal{H}_\infty \)-norm minimization. Zbl 1461.93123 Aliyev, Nicat; Benner, Peter; Mengi, Emre; Voigt, Matthias 8 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 Hankel-norm approximation of large-scale descriptor systems. Zbl 1441.93044 Benner, Peter; Werner, Steffen W. R. 2 2020 Fast solution of the linearized Poisson-Boltzmann equation with nonaffine parametrized boundary conditions using the reduced basis method. Zbl 07704919 Kweyu, Cleophas; Feng, Lihong; Stein, Matthias; Benner, Peter 2 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 Low-rank linear fluid-structure interaction discretizations. Zbl 07812940 Weinhandl, Roman; Benner, Peter; Richter, Thomas 2 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 1533.93049 Duff, Igor Pontes; Grundel, Sara; Benner, Peter 1 2020 Optimal distributed and tangential boundary control for the unsteady stochastic Stokes equations. Zbl 1451.76045 Benner, Peter; Trautwein, Christoph 1 2020 Solution formulas for differential Sylvester and Lyapunov equations. Zbl 1432.15015 Behr, Maximilian; Benner, Peter; Heiland, Jan 14 2019 Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions. Zbl 1461.49047 Benner, P.; Seidel-Morgenstern, A.; Zuyev, A. 13 2019 A low-rank inexact Newton-Krylov method for stochastic eigenvalue problems. Zbl 1420.65043 Benner, Peter; Onwunta, Akwum; Stoll, Martin 9 2019 Gas network benchmark models. Zbl 1445.76065 Benner, Peter; Grundel, Sara; Himpe, Christian; Huck, Christoph; Streubel, Tom; Tischendorf, Caren 8 2019 Extended and improved criss-cross algorithms for computing the spectral value set abscissa and radius. Zbl 1457.93066 Benner, Peter; Mitchell, Tim 7 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 Optimal control problems constrained by the stochastic Navier-Stokes equations with multiplicative Lévy noise. Zbl 1420.93036 Benner, Peter; Trautwein, Christoph 5 2019 Cross-Gramian-based dominant subspaces. Zbl 1440.93043 Benner, Peter; Himpe, Christian 5 2019 Greedy low-rank algorithm for spatial connectome regression. Zbl 1437.92005 Kürschner, Patrick; Dolgov, Sergey; Harris, Kameron Decker; Benner, Peter 3 2019 Sparse (P)MOR for electro-thermal coupled problems with many inputs. Zbl 1442.78011 Banagaaya, Nicodemus; Feng, Lihong; Benner, Peter 2 2019 A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems. Zbl 1499.65362 Ilyas Ahmad, Mian; Benner, Peter; Feng, Lihong 2 2019 Parametric model order reduction for electro-thermal coupled problems. Zbl 1443.78013 Feng, Lihong; Benner, Peter 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 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 \(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. Zbl 1418.93048 Benner, Peter; Goyal, Pawan; Gugercin, Serkan 43 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 31 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. 15 2018 Space-time Galerkin POD with application in optimal control of semilinear partial differential equations. Zbl 1392.35323 Baumann, Manuel; Benner, Peter; Heiland, Jan 10 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 8 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. 4 2018 Model reduction by iterative error system approximation. Zbl 1485.93090 Antoulas, A. C.; Benner, Peter; Feng, Lihong 3 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. 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 A linear quadratic control problem for the stochastic heat equation driven by Q-Wiener processes. Zbl 1370.93315 Benner, Peter; Trautwein, Christoph 3 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 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 A direct index 1 DAE model of gas networks. Zbl 1416.78021 Benner, Peter; Braukmüller, Maike; Grundel, Sara 1 2018 Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations. Zbl 1412.65228 Yücel, Hamdullah; Stoll, Martin; Benner, Peter 1 2018 Numerical investigation of Newton’s method for solving discrete-time algebraic Riccati equations. Zbl 07765455 Sima, Vasile; Benner, Peter 1 2018 Model reduction and approximation. Theory and algorithms. Zbl 1378.65010 219 2017 ...and 171 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,681 Authors 195 Benner, Peter 48 Jiang, Yaolin 40 Gugercin, Serkan 39 Mehrmann, Volker 38 Rozza, Gianluigi 33 Peherstorfer, Benjamin 27 Feng, Lihong 25 Stoll, Martin 25 Willcox, Karen E. 24 Redmann, Martin 24 Simoncini, Valeria 23 Breiten, Tobias 23 Kressner, Daniel 23 Saak, Jens 23 Stykel, Tatjana 19 Faßbender, Heike 19 Goyal, Pawan 19 Krämer, Boris 19 Kürschner, Patrick 18 Beattie, Christopher A. 18 Manzoni, Andrea 17 Haasdonk, Bernard 17 Kutz, J. Nathan 17 Tomljanović, Zoran 17 Voigt, Matthias 16 Brunton, Steven L. 16 Hesthaven, Jan S. 16 Khoromskiĭ, Boris Nikolaevich 16 Luo, Zhendong 15 Gosea, Ion Victor 15 Grundel, Sara M. 15 Jbilou, Khalide 15 Mena, Hermann 15 Werner, Steffen W. R. 14 Dolgov, Sergey V. 14 Heinkenschloss, Matthias 14 Quintana-Ortí, Enrique S. 14 Xiao, Zhihua 13 Antoulas, Athanasios C. 13 Eberhard, Peter 13 Hajarian, Masoud 13 Palitta, Davide 13 Pontes Duff, Igor 12 Alla, Alessandro 12 Heiland, Jan 12 Pulch, Roland 12 Quarteroni, Alfio M. 12 Stabile, Giovanni 12 Van Dooren, Paul M. 11 Ballarin, Francesco 11 Du, Xin 11 King-wah Chu, Eric 11 Mitchell, Tim 11 Truhar, Ninoslav 11 Xu, Hongguo 11 Xu, Kangli 10 Kunisch, Karl 10 Robol, Leonardo 10 Singler, John R. 10 Yadykin, Igor Borisovich 9 Damm, Tobias 9 de Sturler, Eric 9 Fan, Hung-Yuan 9 Himpe, Christian 9 Jarlebring, Elias 9 Lin, Wen-Wei 9 Ma, Changfeng 9 Nouy, Anthony 9 Ohlberger, Mario 9 Poloni, Federico Giovanni 9 Unger, Benjamin 9 Yücel, Hamdullah 8 Ahmad, Mian Ilyas 8 Chen, Peng 8 Choi, Youngsoo 8 Dehghan Takht Fooladi, Mehdi 8 Desmet, Wim 8 Freitag, Melina A. 8 Fresca, Stefania 8 Karasözen, Bülent 8 Khoromskaia, Venera 8 Marheineke, Nicole 8 Mehl, Christian 8 Narayan, Akil C. 8 Qi, Zhen-Zhong 8 Uzunca, Murat 8 Wang, Xiaolong 8 Watkins, David S. 8 Zimmermann, Ralf 7 Antil, Harbir 7 Bentbib, Abdeslem Hafid 7 Carlberg, Kevin T. 7 Chen, Xiaoshan 7 Fehr, Jörg 7 Huang, Ting-Zhu 7 Karatzas, Efthymios N. 7 Lanteri, Stéphane 7 Li, Kun 7 Li, Liang 7 Massei, Stefano ...and 2,581 more Authors all top 5 Cited in 248 Serials 126 SIAM Journal on Scientific Computing 103 Computer Methods in Applied Mechanics and Engineering 99 Journal of Computational Physics 93 Linear Algebra and its Applications 73 Journal of Computational and Applied Mathematics 59 SIAM Journal on Matrix Analysis and Applications 59 Advances in Computational Mathematics 52 Numerical Linear Algebra with Applications 51 Journal of Scientific Computing 44 International Journal for Numerical Methods in Engineering 40 Journal of the Franklin Institute 40 Applied Mathematics and Computation 35 Applied Numerical Mathematics 34 Numerical Algorithms 33 Systems & Control Letters 32 Computers & Mathematics with Applications 32 Automatica 29 International Journal of Control 23 BIT 22 SIAM/ASA Journal on Uncertainty Quantification 21 Numerische Mathematik 20 Mathematical and Computer Modelling of Dynamical Systems 19 SIAM Journal on Control and Optimization 19 Computational and Applied Mathematics 18 ETNA. 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The Electronic Journal of Linear Algebra 5 Doklady Mathematics 5 Advances in Difference Equations 5 IET Control Theory & Applications 5 Journal of Mathematics in Industry 5 Journal of Applied Analysis and Computation 4 ACM Transactions on Mathematical Software 4 Calcolo 4 Circuits, Systems, and Signal Processing 4 Applications of Mathematics 4 SIAM Journal on Optimization 4 Engineering Analysis with Boundary Elements 4 European Journal of Control 4 Computing and Visualization in Science 4 Communications in Nonlinear Science and Numerical Simulation 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 Networks and Heterogeneous Media 4 Algorithms 4 Mathematical Control and Related Fields 4 Journal of Mathematical Modeling 3 Journal of Engineering Mathematics 3 Ukrainian Mathematical Journal 3 Applied Mathematics and Optimization 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Computational Fluid Dynamics 3 Nonlinear Dynamics 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Applied Mathematics 3 International Journal of Computational Methods 3 Journal of Statistical Mechanics: Theory and Experiment 3 Evolution Equations and Control Theory ...and 148 more Serials all top 5 Cited in 54 Fields 1,248 Numerical analysis (65-XX) 624 Systems theory; control (93-XX) 417 Linear and multilinear algebra; matrix theory (15-XX) 306 Partial differential equations (35-XX) 214 Fluid mechanics (76-XX) 198 Calculus of variations and optimal control; optimization (49-XX) 114 Computer science (68-XX) 106 Dynamical systems and ergodic theory (37-XX) 100 Ordinary differential equations (34-XX) 100 Mechanics of deformable solids (74-XX) 88 Probability theory and stochastic processes (60-XX) 85 Operations research, mathematical programming (90-XX) 78 Statistics (62-XX) 67 Optics, electromagnetic theory (78-XX) 51 Approximations and expansions (41-XX) 49 Mechanics of particles and systems (70-XX) 47 Operator theory (47-XX) 44 Biology and other natural sciences (92-XX) 23 Information and communication theory, circuits (94-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Classical thermodynamics, heat transfer (80-XX) 13 Functions of a complex variable (30-XX) 11 General and overarching topics; collections (00-XX) 11 Combinatorics (05-XX) 11 Functional analysis (46-XX) 11 Geophysics (86-XX) 10 Differential geometry (53-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Special functions (33-XX) 8 Difference and functional equations (39-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Quantum theory (81-XX) 6 Real functions (26-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 4 Topological groups, Lie groups (22-XX) 4 Several complex variables and analytic spaces (32-XX) 3 History and biography (01-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 1 Field theory and polynomials (12-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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