| Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey P Benner, J Saak GAMM‐Mitteilungen 36 (1), 32-52, 2013 | 198 | 2013 |
| Efficient numerical solution of large scale algebraic matrix equations in PDE control and model order reduction. J Saak Dissertation, Chemnitz University of Technology, Germany, 2009 | 116 | 2009 |
| Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method P Benner, P Kürschner, J Saak Numerical Algorithms 62, 225-251, 2013 | 104 | 2013 |
| Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations P Benner, P Kürschner, J Saak Electronic Transactions on Numerical Analysis. 43, 142-162, 2014 | 100 | 2014 |
| Frequency-Limited Balanced Truncation with Low-Rank Approximations P Benner, P Kürschner, J Saak SIAM Journal on Scientific Computing 38 (1), A471–A499, 2016 | 84 | 2016 |
| An improved numerical method for balanced truncation for symmetric second-order systems P Benner, P Kürschner, J Saak Mathematical and Computer Modelling of Dynamical Systems 19 (6), 593-615, 2013 | 79 | 2013 |
| A semi-discretized heat transfer model for optimal cooling of steel profiles P Benner, J Saak Dimension Reduction of Large-Scale Systems 45, 353-356, 2005 | 79 | 2005 |
| Efficient balancing-based MOR for large-scale second-order systems P Benner, J Saak Mathematical and Computer Modelling of Dynamical Systems 17 (2), 123-143, 2011 | 73 | 2011 |
| On the benefits of the LDLT factorization for large-scale differential matrix equation solvers N Lang, H Mena, J Saak Linear Algebra and its Applications, 44-71, 2015 | 72 | 2015 |
| Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software J Fehr, J Heiland, C Himpe, J Saak AIMS Mathematics 1 (3), 261-281, 2016 | 71 | 2016 |
| Riccati-based boundary feedback stabilization of incompressible Navier--Stokes flows E Bänsch, P Benner, J Saak, HK Weichelt SIAM Journal on Scientific Computing 37 (2), A832-A858, 2015 | 68 | 2015 |
| Sparse-Dense Sylvester equations in H2-model order reduction P Benner, M Köhler, J Saak Tech. Rep. MPIMD/11-11, Max Planck Institute Magdeburg Preprints, 2011 | 63* | 2011 |
| On the parameter selection problem in the Newton-ADI iteration for large-scale Riccati equations P Benner, H Mena, J Saak Electronic Transactions on Numerical Analysis 29, 136-149, 2008 | 62 | 2008 |
| M-M.E.S.S. - The Matrix Equation Sparse Solver Library J Saak, S Werner, P Kürschner, N Lang, M Behr, B Baran, M Hund, ... Zenodo, 2016 | 56* | 2016 |
| A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems P Benner, Z Bujanovic, P Kürschner, J Saak SIAM Journal on Scientific Computing 42 (2), A957-A996, 2020 | 55 | 2020 |
| RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations P Benner, Z Bujanović, P Kürschner, J Saak Numerische Mathematik 138 (2), 301-330, 2018 | 54 | 2018 |
| Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control P Benner, J Saak, MM Uddin MPI Magdeburg Preprints, 2014 | 47 | 2014 |
| Inexact Low-Rank Newton-ADI Method for Large-Scale Algebraic Riccati Equations P Benner, M Heinkenschloss, J Saak, HK Weichelt Applied Numerical Mathematics 108, 125–142, 2016 | 44 | 2016 |
| A Galerkin-Newton-ADI method for solving large-scale algebraic Riccati equations P Benner, J Saak DFG-SPP1253 Preprints, 2010 | 44 | 2010 |
| Efficient numerical solution of the LQR‐problem for the heat equation J Saak, P Benner PAMM: Proceedings in Applied Mathematics and Mechanics 4 (1), 648-649, 2004 | 41 | 2004 |
Peter BennerMax Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
