Jens Saak

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Peter BennerMax Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
Patrick KürschnerLeipzig University of Applied Sciences (HTWK Leipzig)Verified email at htwk-leipzig.de
Norman LangDevelopment Engineer, IAV GmbHVerified email at mpi-magdeburg.mpg.de
Dr. Mohammad Monir UddinAssociate Professor, Department of Mathematics and physics, North South UniversityVerified email at northsouth.edu
Dr. Martin KöhlerTechnical associate, Max Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
Heiko K. WeicheltResearch assistant, Max-Planck-Institute for Dynamics of Complex Technical Systems MagdeburgVerified email at mpi-magdeburg.mpg.de
Hermann MenaMax-Planck-Institut für Dynamik komplexer technischer Systeme, Magdeburg, GermanyVerified email at mpi-magdeburg.mpg.de
Christian HimpePostdoctoral Research Fellow at the University of MünsterVerified email at wwu.de
Jan HeilandPostdoc and JProf., Max Planck Institute and OVGU Magdeburg, GermanyVerified email at mpi-magdeburg.mpg.de
Zvonimir BujanovićUniversity of Zagreb, Faculty of Science, Dept. of MathematicsVerified email at math.pmf.unizg.hr
Stephan RaveUniversity of MünsterVerified email at uni-muenster.de
Roland HerzogProfessor of Mathematics, Heidelberg UniversityVerified email at iwr.uni-heidelberg.de
Petar MlinarićVirgina TechVerified email at vt.edu
Jörg FehrProfessor at Institute of Engineering and Computational Mechanics and SimTech, University ofVerified email at itm.uni-stuttgart.de
Enrique S. Quintana-OrtíUniversitat Politècnica de València, SpainVerified email at disca.upv.es
Matthias HeinkenschlossRice University, Dept. of Computational Applied Mathematics and Operations ResearchVerified email at rice.edu
Tatjana StykelUniversität AugsburgVerified email at math.uni-augsburg.de
Martin StollTU ChemnitzVerified email at mathematik.tu-chemnitz.de
Steffen W. R. WernerAssistant Professor, Virginia TechVerified email at vt.edu
Michael BeitelschmidtProfessor Technische Universität DresdenVerified email at beitelschmidt.de

Jens Saak

Senior Scientist, Max Planck Institute for Dynamics of Complex Technical Systems

Verified email at mpi-magdeburg.mpg.de

Numerical Solution of Matrix Equations Model Order Reduction Optimal Control of PDEs Scientific Computing Parallel Computing


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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	200	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	106	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	88	2016
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	80	2005
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
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	70	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	65*	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
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	57	2020
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
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	55	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	49	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	42	2004

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