J. Saak

发表

On the Parameter Selection Problem in the Newton-ADI Iteration for Large Scale Riccati Equations

Peter Benner, Hermann Mena, Jens Saak, 2007 .

On the benefits of the LDLT factorization for large-scale differential matrix equation solvers

Hermann Mena, Jens Saak, Norman Lang, 2015 .

Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey

P. Benner, J. Saak, 2013 .

A Semi-Discretized Heat Transfer Model for Optimal Cooling of Steel Profiles

Peter Benner, Jens Saak, P. Benner, 2005 .

Efficient balancing-based MOR for large-scale second-order systems

Peter Benner, Jens Saak, P. Benner, 2011 .

Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations

Peter Benner, Patrick Kürschner, Jens Saak, 2014 .

Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model

Mohammad Monir Uddin, P. Benner, J. Saak, 2016 .

Towards an ADI iteration for Tensor Structured Equations

Thomas Mach, Jens Saak, T. Mach, 2014 .

Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier-Stokes Equations and Mesh Movement

P. Benner, J. Saak, J. Heiland, 2018, Analele Universitatii "Ovidius" Constanta - Seria Matematica.

Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme on OpenPower 8

J. Saak, Martin Köhler, 2017 .

Efficient Numerical Solution of Large Scale Algebraic Matrix Equations in PDE Control and Model Order Reduction

Jens Saak, J. Saak, 2009 .

Efficient solution of large scale Lyapunov and Riccati equations arising in model order reduction problems

P. Benner, J. Saak, 2008 .

N A ] 2 N ov 2 01 8 A numerical comparison of solvers for large-scale , continuous-time algebraic Riccati equations

P. Benner, J. Saak, Zvonimir Bujanovic, 2018 .

A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations

Peter Benner, Patrick Kürschner, Jens Saak, 2018 .

The RADI algorithm for solving large-scale algebraic Riccati equations

Peter Benner, Patrick Kürschner, Jens Saak, 2015 .

A low-rank quadratic ADI algorithm for algebraic Riccati equations

P. Benner, J. Saak, Zvonimir Bujanovic, 2015 .

Efficient numerical solution of the LQR‐problem for the heat equation

Peter Benner, Jens Saak, P. Benner, 2004 .

Comparison of model order reduction methods for optimal sensor placement for thermo-elastic models*

Peter Benner, Roland Herzog, Jens Saak, 2019 .

A connection between time domain model order reduction and moment matching for LTI systems

J. Saak, M. Hund, 2018, Mathematical and Computer Modelling of Dynamical Systems.

Mathematical and Computer Modelling of Dynamical Systems Methods , Tools and Applications in Engineering and Related Sciences

J. Saak, M. Hund, 2018 .

2 Computation of Reduced Order Models by Balanced Truncation

P. Benner, J. Saak, 2008 .

Optimal Control-Based Feedback Stabilization of Multi-field Flow Problems

P. Benner, E. Bänsch, J. Saak, 2014 .

Second order to second order balancing for index-1 vibrational systems

P. Benner, J. Saak, P. Benner, 2012, 2012 7th International Conference on Electrical and Computer Engineering.

Optimization with Partial Differential Equations

P. Benner, M. Stoll, J. Saak, 2012 .

SLICOT Working Note 2014-1 On BLAS Level-3 Implementations of Common Solvers for ( Quasi-) Triangular Generalized Lyapunov Equations 1

J. Saak, Martin Köhler, 2014 .

An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations

Peter Benner, Jens Saak, Matthias Heinkenschloss, 2016 .

ADI-BASED METHODS FOR ALGEBRAIC LYAPUNOV AND RICCATI EQUATIONS

P. Benner, J. Saak, Martin Köhler, 2009 .

Numerical Solution of Optimal Control Problems for Parabolic Systems

Peter Benner, Jens Saak, P. Benner, 2006 .

Parallel Order Reduction via BT for Optimal Cooling of Steel Profiles 1 Introduction

J. M. Badía, E. S. Quintana‐Ortí, R. Mayo, 2005 .

On an integrated Krylov-ADI solver for large-scale Lyapunov equations

P. Benner, J. Saak, D. Palitta, 2022, Numerical Algorithms.

Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem

P. Benner, J. Saak, Björn Baran, 2022, 2209.05476.

A Non-stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction

J. Saak, S. Rave, 2020, Model Reduction of Complex Dynamical Systems.

Advanced open source data formats for geometrically and physically coupled systems

J. Saak, M. Beitelschmidt, A. Naumann, 2022, Linköping Electronic Conference Proceedings.

Structure Preserving MOR of Large Sparse Second Order Index-1 Systems and Application to a Mechatronics Model

Mohammad Monir Uddin, P. Benner, J. Saak, 2014 .

Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem

P. Benner, J. Saak, Björn Baran, 2022, ArXiv.

Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software pdf

Jens Saak, Christian Himpe, Jörg Fehr, 2016, ArXiv.

Solving Differential Matrix Equations using Parareal

Jens Saak, Martin Köhler, Norman Lang, 2016 .

M-M.E.S.S.-1.0.1 - The Matrix Equations Sparse Solvers Library

Peter Benner, Jens Saak, Martin Köhler, 2016 .

Towards Practical Implementations of Balanced Truncation for LTV Systems

T. Stykel, J. Saak, N. Lang, 2015 .

Research-Data Management Planning in the German Mathematical Community

T. Koprucki, Christiane Gorgen, K. Tabelow, 2022, 2211.12071.

Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method

Peter Benner, Patrick Kürschner, Jens Saak, 2012, Numerical Algorithms.

Application of LQR techniques to the adaptive control of quasilinear parabolic PDEs

P. Benner, J. Saak, 2007 .

A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations

Zvonimir Bujanovic, Peter Benner, Patrick Kürschner, 2018 .

Frequency-Limited Balanced Truncation with Low-Rank Approximations

Peter Benner, Patrick Kürschner, Jens Saak, 2016, SIAM J. Sci. Comput..

Balancing Based Model Reduction for Structured Index-2 Unstable Descriptor Systems with Application to Flow Control

Mohammad Monir Uddin, Peter Benner, Jens Saak, 2016 .

Efficiency improving implementation techniques for large scale matrix equation solvers

Jens Saak, Martin Köhler, J. Saak, 2010 .

Efficient solution of large-scale algebraic Riccati equations associated with index-2 DAEs via the inexact low-rank Newton-ADI method

Peter Benner, Jens Saak, Matthias Heinkenschloss, 2018, Applied Numerical Mathematics.

Model reduction of constrained mechanical systems in M-M.E.S.S.

M. Voigt, J. Saak, 2018 .

Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flow

Peter Benner, Eberhard Bänsch, Jens Saak, 2013 .

A Reformulated Low‐Rank ADI Iteration with Explicit Residual Factors

Peter Benner, Patrick Kürschner, Jens Saak, 2013 .

RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations

Zvonimir Bujanovic, Peter Benner, Patrick Kürschner, 2015, Numerische Mathematik.

Mathematik RADI : a low-rank ADI-type algorithm for large scale algebraic Riccati equations

P. Benner, J. Saak, Zvonimir Bujanovic, 2017 .

Inexact Kleinman-Newton-ADI Method with Line Search to Solve Large-Scale Algebraic Riccati Equations

M. Heinkenschloss, P. Benner, J. Saak, 2015 .

An improved numerical method for balanced truncation for symmetric second-order systems

Peter Benner, Patrick Kürschner, Jens Saak, 2013 .

A comparison of second-order model order reduction methods for an artificial fishtail

Jens Saak, Steffen W. R. Werner, Dirk Siebelts, 2019, Autom..

Krylov techniques for low-rank ADI

P. Benner, J. Saak, D. Palitta, 2022, ArXiv.

A GPU‐aware mixed‐precision solver for low‐rank algebraic Riccati equations

Peter Benner, Pablo Ezzatti, Jens Saak, 2019, Concurr. Comput. Pract. Exp..

MODEL ORDER REDUCTION METHODS FOR COUPLED MACHINE TOOL MODELS

R. Herzog, M. Beitelschmidt, P. Benner, 2021, MM Science Journal.

Updating incomplete factorization preconditioners for model order reduction

Edmond Chow, Jack J. Dongarra, Hartwig Anzt, 2016, Numerical Algorithms.

Optimization-based parametric model order reduction via H2⊗L2 first-order necessary conditions

J. Saak, Tim Mitchell, M. Hund, 2021, SIAM J. Sci. Comput..

Optimization-based parametric model order reduction via H2⊗L2 first-order necessary conditions

J. Saak, Tim Mitchell, M. Hund, 2021, ArXiv.

On GPU acceleration of common solvers for (quasi-) triangular generalized Lyapunov equations

Jens Saak, Martin Köhler, J. Saak, 2016, Parallel Comput..

Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations

Peter Benner, Patrick Kürschner, Jens Saak, 2016, J. Frankl. Inst..

How Competitive is the ADI for Tensor Structured Equations?

Thomas Mach, Jens Saak, T. Mach, 2012 .

Simulación numérica de circuitos eléctricos a gran escala

Hermann Mena, Jens Saak, H. Mena, 2009 .

Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 - Philosophy, Features and Application for (Parametric) Model

P. Benner, J. Saak, Martin Köhler, 2020, Model Reduction of Complex Dynamical Systems.

A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations

Peter Benner, Jens Saak, Heiko K. Weichelt, 2014, J. Num. Math..

Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow

Peter Benner, Martin Stoll, Jens Saak, 2013, SIAM J. Sci. Comput..

Optimal Sensor Placement based on Model Order Reduction

Peter Benner, Roland Herzog, Jens Saak, 2018 .

Balanced truncation model reduction for linear time-varying systems

Tatjana Stykel, Jens Saak, Norman Lang, 2016 .

A Shared Memory Parallel Implementation of the IRKA Algorithm for $\mathcal{H}_2$ Model Order Reduction - (Extended Abstract)

Jens Saak, Martin Köhler, J. Saak, 2012, PARA.

Sustainable Research Software Hand-Over

J. Saak, J. Fehr, S. Rave, 2019, Journal of Open Research Software.

On BLAS Level-3 Implementations of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations

Jens Saak, Martin Köhler, J. Saak, 2016, ACM Trans. Math. Softw..

Computation of a compact state space model for an adaptive spindle head configuration with piezo actuators using balanced truncation

Mohammad Monir Uddin, Peter Benner, Jens Saak, 2012, Production Engineering.

Inexact nested Newton-ADI method to solve large-scale algebraic Riccati equations

M. Heinkenschloss, P. Benner, J. Saak, 2015 .

A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems

P. Benner, J. Saak, Zvonimir Bujanovic, 2018, SIAM J. Sci. Comput..

Riccati-based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flows

P. Benner, E. Bänsch, J. Saak, 2015, SIAM J. Sci. Comput..

Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-field Flow Problems

Peter Benner, Martin Stoll, Jens Saak, 2013, System Modelling and Optimization.

Linear-Quadratic Regulator Design for Optimal Cooling of Steel Profiles

Peter Benner, Jens Saak, P. Benner, 2006 .

Parallel Order Reduction via Balanced Truncation for Optimal Cooling of Steel Profiles

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2005, Euro-Par.

A Connection between Time Domain Model Order Reduction and Moment Matching

Jens Saak, Manuela Hund, J. Saak, 2016 .

Parametric model order reduction using pyMOR

J. Saak, Petar Mlinarić, Stephan Rave, 2020, Model Reduction of Complex Dynamical Systems.

Using LDLT factorizations in Newton's method for solving general large-scale algebraic Riccati equations

J. Saak, Steffen W. R. Werner, 2024, ArXiv.

M-M.E.S.S.-2.0 — The “Matrix Equations, Sparse Solvers” toolbox for MATLAB® and GNU Octave

Peter Benner, Jens Saak, Martin Köhler, 2019 .

An extension of the low-rank Lyapunov ADI to non-zero initial values and its applications

J. Saak, Jonas Schulze, 2024, 2406.13477.