Publications

Dr. Jens Saak

Journal Article (30)

  1. 1.
    Baran, B.; Benner, P.; Heiland, J.; Saak, J.: Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier-Stokes-Equations and Mesh Movement. Analele Stiintifice ale Universitatii Ovidius Constanta - Seria Matematica 26 (2), pp. 11 - 40 (2018)
  2. 2.
    Benner, P.; Bujanović, Z.; Kürschner, P.; Saak, J.: RADI: a Low-Rank ADI-Type Algorithm for Large Scale Algebraic Riccati Equations. Numerische Mathematik 138 (2), pp. 301 - 330 (2018)
  3. 3.
    Benner, P.; Dufrechou, E.; Ezzatti, P.; Remón, A.; Saak, J.: A GPU-Aware Mixed-Precision Solver for Low-Rank Algebraic Riccati Equations. Concurrency and Computation: Practice and Experience (accepted)
  4. 4.
    Benner, P.; Herzog, R.; Lang, N.; Riedel, I.; Saak, J.: Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models. Engineering Optimization (accepted)
  5. 5.
    Hund, M.; Saak, J.: A Connection between Time Domain Model Order Reduction and Moment Matching for LTI Systems. Mathematical and Computer Modelling of Dynamical Systems (accepted)
  6. 6.
    Köhler, M.; Saak, J.: Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme with Application to the Matrix-Sign-Function on OpenPOWER 8. Concurrency and Computation: Practice and Experience, e4504 (accepted)
  7. 7.
    Anzt, H.; Chow, E.; Saak, J.; Dongarra, J.: Updating Incomplete Factorization Preconditioners for Model Order Reduction. Numerical Algorithms 73 (3), pp. 611 - 630 (2016)
  8. 8.
    Benner, P.; Kürschner, P.; Saak, J.: Low-Rank Newton-ADI Methods for Large Nonsymmetric Algebraic Riccati Equations. Journal of the Franklin Institute 353 (5), pp. 1147 - 1167 (2016)
  9. 9.
    Benner, P.; Saak, J.; Uddin, M. M.: Balancing Based Model Reduction for Structured Index-2 Unstable Descriptor Systems with Application to Flow Control. Numerical Algebra, Control and Optimization 6 (1), pp. 1 - 20 (2016)
  10. 10.
    Benner, P.; Kürschner, P.; Saak, J.: Frequency-Limited Balanced Truncation with Low-Rank Approximations. SIAM Journal on Scientific Computing 38 (1), pp. A471 - A499 (2016)
  11. 11.
    Benner, P.; Heinkenschloss, M.; Saak, J.; Weichelt, H. K.: An Inexact Low-Rank Newton-ADI Method for Large-Scale Algebraic Riccati Equations. Applied Numerical Mathematics 108, pp. 125 - 142 (2016)
  12. 12.
    Benner, P.; Saak, J.; Uddin, M. M.: Structure Preserving Model Order Reduction of Large Sparse Second-Order Index-1 Systems and Application to a Mechatronics Model. Mathematical and Computer Modelling of Dynamical Systems 22 (6), pp. 509 - 523 (2016)
  13. 13.
    Fehr, J.; Heiland, J.; Himpe, C.; Saak, J.: Best Practices for Replicability, Reproducibility and Reusability of Computer-based Experiments exemplified by Model Reduction Software. AIMS Mathematics 1 (3), pp. 261 - 281 (2016)
  14. 14.
    Köhler, M.; Saak, J.: On GPU Acceleration of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations. Parallel Computing 57, pp. 212 - 221 (2016)
  15. 15.
    Köhler, M.; Penke, C.; Saak, J.; Ezzatti, P.: Energy-Aware Solution of Linear Systems with Many Right Hand Sides. Computer Science - Research and Development 31 (4), pp. 215 - 235 (2016)
  16. 16.
    Köhler, M.; Saak, J.: On BLAS Level-3 Implementations of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations. ACM Transactions on Mathematical Software 43 (1), 3 (2016)
  17. 17.
    Lang, N.; Saak, J.; Stykel, T.: Balanced Truncation Model Reduction for Linear Time-Varying Systems. Mathematical and Computer Modelling of Dynamical Systems 22 (4), pp. 267 - 281 (2016)
  18. 18.
    Bänsch, E.; Benner, P.; Saak, J.; Weichelt, H. K.: Riccati-Based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flow. SIAM Journal on Scientific Computing 37 (2), pp. A832 - A858 (2015)
  19. 19.
    Lang, N.; Saak, J.; Benner, P.; Ihlenfeldt, S.; Nestmann, S.; Schädlich, K.: Towards the Identification of Heat Induction in Chip Removing Processes via an Optimal Control Approach. Production Engineering: Development & Research 9 (3), pp. 343 - 349 (2015)
  20. 20.
    Lang, N.; Mena, H.; Saak, J.: On the Benefits of the LDLT Factorization for Large-Scale Differential Matrix Equation Solvers. Linear Algebra and its Applications 480, pp. 44 - 71 (2015)
  21. 21.
    Saak, J.; Remón, A.: Interview: "Energiesparende Algorithmen?: Hochleistungsrechner auf dem Prüfstand". Laborpraxis (39), pp. 16 - 17 (2015)
  22. 22.
    Benner, P.; Saak, J.; Schieweck, F.; Skrzypacz, P.; Weichelt, H. K.: A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the Stokes Equations. Journal of Numerical Mathematics 22 (3), pp. 191 - 220 (2014)
  23. 23.
    Benner, P.; Kürschner, P.; Saak, J.: Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations. Electronic Transactions on Numerical Analysis (ETNA) 43, pp. 142 - 162 (2014)
  24. 24.
    Lang, N.; Saak, J.; Benner, P.: Model Order Reduction for Systems with Moving Loads. at - Automatisierungstechnik 62 (7), pp. 512 - 522 (2014)
  25. 25.
    Benner, P.; Kürschner, P.; Saak, J.: Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method. Numerical Algorithms 62 (2), pp. 225 - 251 (2013)
  26. 26.
    Benner, P.; Saak, J.; Stoll, M.; Weichelt, H. K.: Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow. SIAM Journal on Scientific Computing 35 (5 - Special Section: 2012 Copper Mountain Conference), pp. S150 - S170 (2013)
  27. 27.
    Benner, P.; Kürschner, P.; Saak, J.: An Improved Numerical Method for Balanced Truncation for Symmetric Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 19 (6), pp. 593 - 615 (2013)
  28. 28.
    Benner, P.; Saak, J.: Numerical Solution of Large and Sparse Continuous Time Algebraic Matrix Riccati and Lyapunov Equations: A State of the Art Survey. GAMM Mitteilungen 36 (1), pp. 32 - 52 (2013)
  29. 29.
    Uddin, M. M.; Saak, J.; Kranz, B.; Benner, P.: Computation of a Compact State Space Model for an Adaptive Spindle Head Configuration with Piezo Actuators using Balanced Truncation. Production Engineering 6 (6), pp. 577 - 586 (2012)
  30. 30.
    Benner, P.; Saak, J.: Efficient Balancing-Based MOR for Large-Scale Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 17 (2), pp. 123 - 143 (2011)

Book Chapter (4)

  1. 31.
    Benner, P.; Köhler, M.; Saak, J.: Fast Approximate Solution of the Non-Symmetric Generalized Eigenvalue Problem on Multicore Architectures. In: Parallel Computing Accelerating Computational Science and Engineering (CSE), pp. 143 - 152. IOS Press, Amsterdam (2014)
  2. 32.
    Benner, P.; Saak, J.; Stoll, M.; Weichelt, H. K.: Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-Field Flow Problems. In: System Modeling and Optimization: 26th IFIP TC 7 Conference, CSMO 2013, Klagenfurt, Austria, September 9-13, 2013, Revised Selected Papers, pp. 11 - 20 (Eds. Pötzsche, C.; Heuberger, C.; Kaltenbacher, B.; Rendl, F.). Springer, Berlin Heidelberg (2014)
  3. 33.
    Bänsch, E.; Benner, P.; Saak, J.; Weichelt, H. K.: Optimal Control-Based Feedback Stabilization of Multi-Field Flow Problems. In: Trends in PDE Constrained Optimization, pp. 173 - 188 (Eds. Leugering, G.; Benner, P.; Engell, S.; Griewank, A.; Harbrecht, H. et al.). Birkhäuser, Basel (2014)
  4. 34.
    Köhler, M.; Saak, J.: A shared memory parallel implementation of the IRKA algorithm for H2 model order reduction. In: Applied Parallel and Scientific Computing, Vol. 7782, pp. 541 - 544. Springer, Berlin (2013)

Conference Paper (22)

  1. 35.
    Hund, M.; Mlinarić, P.; Saak, J.: An H2xL2-Optimal Model Order Reduction Approach for Parametric Linear Time-Invariant Systems. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics (accepted)
  2. 36.
    Saak, J.; Voigt, M.: Model Reduction of Constrained Mechanical Systems in M-M.E.S.S. 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, February 21, 2018 - February 23, 2018. IFAC-PapersOnLine 51, pp. 661 - 666 (2018)
  3. 37.
    Baran, B.; Benner, P.; Heiland, J.; Saak, J.: Towards Riccati-Feedback Control of Complex Flows with Moving Interfaces. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17 (1), pp. 769 - 770 (2017)
  4. 38.
    Benner, P.; Saak, J.; Uddin, M. M.: Reduced-Order Modeling of Index-1 Vibrational Systems Using Interpolatory Projections. In: Proceedings of the 19th International Conference on Computer and Information Technology (ICCIT), pp. 134 - 138. 19th International Conference on Computer and Information Technology , Dhaka, Bangladesh, December 18, 2016 - December 20, 2016. (2017)
  5. 39.
    Himpe, C.; Leibner, T.; Rave, S.; Saak, J.: Fast Low-Rank Empirical Cross Gramians. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17, pp. 841 - 842 (2017)
  6. 40.
    Köhler, M.; Saak, J.: Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme on OpenPower 8. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
  7. 41.
    Köhler, M.; Saak, J.: GPU Accelerated Gauss-Jordan Elimination on the OpenPOWER platform – A case study. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17 (1), pp. 845 - 846 (2017)
  8. 42.
    Hund, M.; Saak, J.: A Connection between Time Domain Model Order Reduction and Moment Matching. Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung , Braunschweig, March 07, 2016 - March 11, 2016. Proceedings in Applied Mathematics and Mechanics 16 (1), pp. 727 - 728 (2016)
  9. 43.
    Köhler, M.; Lang, N.; Saak, J.: Solving Differential Matrix Equations Using Parareal. Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung, Braunschweig, March 07, 2016 - March 11, 2016. Proceedings in Applied Mathematics and Mechanics 16 (1), pp. 847 - 848 (2016)
  10. 44.
    Baran, B.; Köhler, M.; Prasad, N.; Saak, J.: Numerical Solution of Large Scale Sparse Matrix Equations in Python. 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen, Germany, March 10, 2014 - March 14, 2014. Proceedings in Applied Mathematics and Mechanics 14 (1), pp. 959 - 960 (2014)
  11. 45.
    Benner, P.; Köhler, M.; Saak, J.: A Cache-Aware Implementation of the Spectral Divide-and-Conquer Approach for the Non-Symmetric Generalized Eigenvalue Problem. 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 2014, Erlangen, Germany, March 10, 2014 - March 14, 2014. Proceedings in Applied Mathematics and Mechanics 14 (1), pp. 819 - 820 (2014)
  12. 46.
    Benner, P.; Lang, N.; Saak, J.: Modellordnungsreduktion für geschaltete, gekoppelte thermo-elastische Systeme. In: Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", pp. 215 - 227. GMA Fachausschuss 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 18, 2013 - September 20, 2013. (2013)
  13. 47.
    Benner, P.; Lang , N.; Saak, J.: Modeling Structural Variability in Reduced Order Models of Machine Tool Assembly Groups via Parametric MOR. 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad, Serbia, March 18, 2013 - March 22, 2013. Proceedings in Applied Mathematics and Mechanics 13 (1), pp. 481 - 482 (2013)
  14. 48.
    Benner, P.; Kürschner, P.; Saak, J.: A Reformulated Low-Rank ADI Iteration with Explicit Residual Factors. 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad, Serbia, March 18, 2013 - March 22, 2013. Proceedings in Applied Mathematics and Mechanics 13 (1), pp. 585 - 586 (2013)
  15. 49.
    Saak, J.; Uddin, M. M.; Voigt, M.: Modellordnungsreduktion für strukturierte Index-3-Systeme. In: Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", pp. 180 - 190. GMA Fachausschuss 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 18, 2013 - September 20, 2013. (2013)
  16. 50.
    Benner, P.; Kürschner, P.; Saak, J.: Improved Second-Order Balanced Truncation for Symmetric Systems. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC Proceedings Volumes 45 (2), pp. 758 - 762 (2012)
 
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