Edit Profile (opens in new tab) Saak, Jens Co-Author Distance Author ID: saak.jens Published as: Saak, Jens; Saak, J. External Links: MGP Documents Indexed: 40 Publications since 2004, including 5 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 51 Co-Authors with 42 Joint Publications 1,245 Co-Co-Authors all top 5 Co-Authors 0 single-authored 27 Benner, Peter 7 Kürschner, Patrick 7 Weichelt, Heiko K. 3 Baran, Björn 2 Bänsch, Eberhard 2 Bujanović, Zvonimir 2 Heiland, Jan 2 Heinkenschloss, Matthias 2 Hund, Manuela 2 Köhler, Martin 2 Lang, Norman 2 Mena, Hermann 2 Mlinarić, Petar 2 Palitta, Davide 2 Rave, Stephan David 2 Stoll, Martin 2 Uddin, Mohammad Monir 1 Anzt, Hartwig 1 Boege, Tobias 1 Chow, Edmond 1 Chu, Delin 1 Dongarra, Jack J. 1 Fehr, Jörg 1 Fritze, René 1 Görgen, Christiane 1 Grepl, Martin A. 1 Hanselman, Jeroen 1 Himpe, Christian 1 Iglezakis, Dorothea 1 Kastner, Lars 1 Koprucki, Thomas 1 Krause, Tabea H. 1 Lehrenfeld, Christoph 1 Lohmann, Boris 1 Mitchell, Tim 1 Nakić, Ivica 1 Polla, Silvia 1 Reidelbach, Marco 1 Riedel, Christian 1 Schembera, Björn 1 Schieweck, Friedhelm 1 Schulze, Jonas 1 Skrzypacz, Piotr 1 Stillfjord, Tony 1 Stykel, Tatjana 1 Tabelow, Karsten 1 Tomljanović, Zoran 1 Weber, Marcus 1 Werner, Steffen W. R. 1 Xiao, Mingqing 1 Zhou, Bin all top 5 Serials 6 Mathematical and Computer Modelling of Dynamical Systems 5 SIAM Journal on Scientific Computing 3 Numerical Algorithms 2 Journal of the Franklin Institute 2 Applied Numerical Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 ACM Transactions on Mathematical Software 1 Numerische Mathematik 1 Linear Algebra and its Applications 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Journal of Numerical Mathematics 1 GAMM-Mitteilungen 1 Numerical Algebra, Control and Optimization 1 AIMS Mathematics 1 European Mathematical Society Magazine all top 5 Fields 25 Numerical analysis (65-XX) 22 Systems theory; control (93-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Fluid mechanics (76-XX) 4 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 407 times in 232 Documents Cited by ▼ Year ▼ 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 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 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 An improved numerical method for balanced truncation for symmetric second-order systems. Zbl 1305.93043 Benner, Peter; Kürschner, Patrick; Saak, Jens 25 2013 On the benefits of the \(L D L^T\) factorization for large-scale differential matrix equation solvers. Zbl 1320.65110 Lang, Norman; Mena, Hermann; Saak, Jens 24 2015 A semi-discretized heat transfer model for optimal cooling of steel profiles. Zbl 1170.80341 Benner, Peter; Saak, Jens 23 2005 Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flows. Zbl 1312.93083 Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K. 21 2015 Frequency-limited balanced truncation with low-rank approximations. Zbl 1391.65123 Benner, Peter; Kürschner, Patrick; Saak, Jens 19 2016 Efficient balancing-based MOR for large-scale second-order systems. Zbl 1221.93039 Benner, Peter; Saak, Jens 17 2011 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 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 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 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 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 Updating incomplete factorization preconditioners for model order reduction. Zbl 1353.65022 Anzt, Hartwig; Chow, Edmond; Saak, Jens; Dongarra, Jack 9 2016 Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. Zbl 1336.93056 Benner, Peter; Kürschner, Patrick; Saak, Jens 9 2016 Balanced truncation model reduction for linear time-varying systems. Zbl 1417.93089 Lang, N.; Saak, J.; Stykel, T. 8 2016 Efficient numerical solution of the LQR-problem for the heat equation. Zbl 1354.65253 Saak, Jens; Benner, Peter 5 2004 A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations. Zbl 1303.65095 Benner, P.; Saak, J.; Schieweck, F.; Skrzypacz, P.; Weichelt, H. K. 4 2014 Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model. Zbl 1348.93025 Benner, Peter; Saak, Jens; Uddin, M. Monir 4 2016 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 Optimal control-based feedback stabilization of multi-field flow problems. Zbl 1327.49061 Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K. 2 2014 Best practices for replicability, reproducibility and reusability of computer-based experiments exemplified by model reduction software. Zbl 07129995 Fehr, Jörg; Heiland, Jan; Himpe, Christian; Saak, Jens 2 2016 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 Efficient solvers for large-scale saddle point systems arising in feedback stabilization of multi-field flow problems. Zbl 1329.76105 Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K. 1 2014 On BLAS level-3 implementations of common solvers for (quasi-) triangular generalized Lyapunov equations. Zbl 1371.65040 Köhler, Martin; Saak, Jens 1 2016 Editorial: Matrix equations with application to control theory. Zbl 1336.93009 1 2016 Parametric model order reduction using pyMOR. Zbl 1480.93058 Mlinarić, Petar; Rave, Stephan; Saak, Jens 1 2021 Optimization-based parametric model order reduction via \(\mathcal{H}_2\otimes\mathcal{L}_2\) first-order necessary conditions. Zbl 1492.65227 Hund, Manuela; Mitchell, Tim; Mlinarić, Petar; Saak, Jens 1 2022 Efficient solution of large scale Lyapunov and Riccati equations arising in model order reduction problems. Zbl 1392.65109 Saak, Jens; Benner, Peter 1 2008 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 Optimization-based parametric model order reduction via \(\mathcal{H}_2\otimes\mathcal{L}_2\) first-order necessary conditions. Zbl 1492.65227 Hund, Manuela; Mitchell, Tim; Mlinarić, Petar; Saak, Jens 1 2022 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 Parametric model order reduction using pyMOR. Zbl 1480.93058 Mlinarić, Petar; Rave, Stephan; Saak, Jens 1 2021 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 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 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 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 Frequency-limited balanced truncation with low-rank approximations. Zbl 1391.65123 Benner, Peter; Kürschner, Patrick; Saak, Jens 19 2016 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 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 Updating incomplete factorization preconditioners for model order reduction. Zbl 1353.65022 Anzt, Hartwig; Chow, Edmond; Saak, Jens; Dongarra, Jack 9 2016 Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. Zbl 1336.93056 Benner, Peter; Kürschner, Patrick; Saak, Jens 9 2016 Balanced truncation model reduction for linear time-varying systems. Zbl 1417.93089 Lang, N.; Saak, J.; Stykel, T. 8 2016 Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model. Zbl 1348.93025 Benner, Peter; Saak, Jens; Uddin, M. Monir 4 2016 Best practices for replicability, reproducibility and reusability of computer-based experiments exemplified by model reduction software. Zbl 07129995 Fehr, Jörg; Heiland, Jan; Himpe, Christian; Saak, Jens 2 2016 On BLAS level-3 implementations of common solvers for (quasi-) triangular generalized Lyapunov equations. Zbl 1371.65040 Köhler, Martin; Saak, Jens 1 2016 Editorial: Matrix equations with application to control theory. Zbl 1336.93009 1 2016 On the benefits of the \(L D L^T\) factorization for large-scale differential matrix equation solvers. Zbl 1320.65110 Lang, Norman; Mena, Hermann; Saak, Jens 24 2015 Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flows. Zbl 1312.93083 Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K. 21 2015 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 A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations. Zbl 1303.65095 Benner, P.; Saak, J.; Schieweck, F.; Skrzypacz, P.; Weichelt, H. K. 4 2014 Optimal control-based feedback stabilization of multi-field flow problems. Zbl 1327.49061 Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K. 2 2014 Efficient solvers for large-scale saddle point systems arising in feedback stabilization of multi-field flow problems. Zbl 1329.76105 Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K. 1 2014 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 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 An improved numerical method for balanced truncation for symmetric second-order systems. Zbl 1305.93043 Benner, Peter; Kürschner, Patrick; Saak, Jens 25 2013 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 Efficient balancing-based MOR for large-scale second-order systems. Zbl 1221.93039 Benner, Peter; Saak, Jens 17 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 Efficient solution of large scale Lyapunov and Riccati equations arising in model order reduction problems. Zbl 1392.65109 Saak, Jens; Benner, Peter 1 2008 A semi-discretized heat transfer model for optimal cooling of steel profiles. Zbl 1170.80341 Benner, Peter; Saak, Jens 23 2005 Efficient numerical solution of the LQR-problem for the heat equation. Zbl 1354.65253 Saak, Jens; Benner, Peter 5 2004 all cited Publications top 5 cited Publications all top 5 Cited by 323 Authors 48 Benner, Peter 20 Saak, Jens 17 Kürschner, Patrick 13 Breiten, Tobias 12 Gugercin, Serkan 10 Mena, Hermann 8 Kressner, Daniel 7 Beattie, Christopher A. 7 Heiland, Jan 7 King-wah Chu, Eric 7 Stykel, Tatjana 7 Uddin, Mohammad Monir 6 Du, Xin 6 Jiang, Yaolin 5 Fan, Hung-Yuan 5 Simoncini, Valeria 5 Voigt, Matthias 4 Eberhard, Peter 4 Haasdonk, Bernard 4 Heinkenschloss, Matthias 4 Jbilou, Khalide 4 Stillfjord, Tony 4 Weichelt, Heiko K. 4 Weng, Peter Chang-Yi 4 Werner, Steffen W. R. 4 Zhang, Juan 3 Ahmad, Mian Ilyas 3 Alla, Alessandro 3 Anzt, Hartwig 3 Bujanović, Zvonimir 3 Dolgov, Sergey V. 3 Faßbender, Heike 3 Gosea, Ion Victor 3 Goyal, Pawan 3 Krämer, Boris 3 Kunisch, Karl 3 Levajković, Tijana 3 Liu, Jianzhou 3 Massei, Stefano 3 Palitta, Davide 3 Pfurtscheller, Lena-Maria 3 Poloni, Federico Giovanni 3 Pontes Duff, Igor 3 Reis, Timo 3 Saluzzi, Luca 3 Sreeram, Victor 3 Stoll, Martin 3 Truhar, Ninoslav 3 Tuffaha, Amjad M. 3 Xiao, Zhihua 3 Yu, Bo 3 Zhang, Liping 3 Zulfiqar, Umair 2 Badahmane, Achraf 2 Bänsch, Eberhard 2 Behr, Maximilian 2 Bentbib, Abdeslem Hafid 2 Bertram, Christian 2 Buchot, Jean-Marie 2 Chow, Edmond 2 Dehghan Takht Fooladi, Mehdi 2 Dong, Ning 2 Dongarra, Jack J. 2 Embree, Mark 2 Falcone, Maurizio 2 Fehr, Jörg 2 Feng, Lihong 2 Freitag, Melina A. 2 Guo, Zhen-chen 2 Güttel, Stefan 2 Haber, Aleksandar 2 Hamadi, M. A. 2 Hossain, Mohammad-Sahadet 2 Hu, Weiwei 2 Kalise, Dante 2 Kühn, Christian 2 Lang, Norman 2 Latawiec, Krzysztof J. 2 Liang, Xin 2 Liljegren-Sailer, Björn 2 Lohmann, Boris 2 Luo, Fangfang 2 Ma, Changfeng 2 Manvelyan, Diana 2 Mehrmann, Volker 2 Michiels, Wim 2 Mlinarić, Petar 2 Panzer, Heiko K. F. 2 Ratnani, Ahmed 2 Raydan, Marcos 2 Raymond, Jean-Pierre 2 Redmann, Martin 2 Rydel, Marek 2 Shirilord, Akbar 2 Simeon, Bernd 2 Stanisławski, Rafał 2 Tencer, John 2 Tomljanović, Zoran 2 Unger, Benjamin 2 Verhaegen, Michel ...and 223 more Authors all top 5 Cited in 71 Serials 17 SIAM Journal on Scientific Computing 14 Numerical Algorithms 12 Journal of Computational and Applied Mathematics 10 Linear Algebra and its Applications 8 SIAM Journal on Control and Optimization 8 Applied Numerical Mathematics 8 SIAM Journal on Matrix Analysis and Applications 8 Numerical Linear Algebra with Applications 8 Advances in Computational Mathematics 6 Numerical Algebra, Control and Optimization 5 Applied Mathematics and Computation 5 Automatica 5 Systems & Control Letters 5 Mathematical and Computer Modelling of Dynamical Systems 4 Computers & Mathematics with Applications 4 Computer Methods in Applied Mechanics and Engineering 4 Numerische Mathematik 4 ETNA. Electronic Transactions on Numerical Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 GAMM-Mitteilungen 3 Journal of Computational Physics 3 Journal of the Franklin Institute 3 MCSS. Mathematics of Control, Signals, and Systems 3 Journal of Scientific Computing 3 Computational and Applied Mathematics 2 International Journal of Control 2 Applied Mathematics and Optimization 2 BIT 2 International Journal for Numerical Methods in Engineering 2 SIAM Review 2 Journal of Applied Mathematics and Computing 2 SIAM Journal on Applied Dynamical Systems 2 Asian Journal of Control 2 Evolution Equations and Control Theory 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Journal of Fluid Mechanics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Calcolo 1 SIAM Journal on Numerical Analysis 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Complexity 1 Mathematical Problems in Engineering 1 International Journal of Computational Fluid Dynamics 1 Multibody System Dynamics 1 Vietnam Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Numerical Mathematics 1 Acta Numerica 1 Proceedings of the Estonian Academy of Sciences 1 Symmetry 1 The Journal of Mathematical Neuroscience 1 Mathematical Control and Related Fields 1 Journal of Computational Dynamics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 European Mathematical Society Magazine all top 5 Cited in 28 Fields 137 Numerical analysis (65-XX) 118 Systems theory; control (93-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 22 Fluid mechanics (76-XX) 21 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 9 Mechanics of deformable solids (74-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of particles and systems (70-XX) 6 Probability theory and stochastic processes (60-XX) 5 Operations research, mathematical programming (90-XX) 4 Approximations and expansions (41-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year