Publications of Jens Saak

Journal Article (42)

2025
Journal Article
Palitta, D., Tomljanović, Z., Nakić, I., & Saak, J. (2025)Efficient Solution of Sequences of Parametrized Lyapunov Equations with ApplicationsNumerical Linear Algebra with Applications, 32 (1), e2604doi: 10.1002/nla.2604.
2024
Journal Article
Saak, J. & Werner, S. W. R. (2024)Using LDLT Factorizations in Newton's Method for Solving General Large-Scale Algebraic Riccati EquationsElectronic Transactions on Numerical Analysis, 62, 95–118doi: 10.1553/etna_vol62s95.
2023
Journal Article
Benner, P., Palitta, D., & Saak, J. (2023)On an integrated Krylov-ADI Solver for Large-Scale Lyapunov EquationsNumerical Algorithms, 92, 35–63doi: 10.1007/s11075-022-01409-5.
Journal Article
Boege, T., Fritze, R., Görgen, C., Hanselman, J., Iglezakis, D., Kastner, L., Koprucki, T., Krause, T., Lehrenfeld, C., Polla, S., Reidelbach, M., Riedel, C., Saak, J., Schembera, B., Tabelow, K., & Weber, M. (2023)Research-Data Management Planning in the German Mathematical CommunityEMS Magazine, 130, 40–47doi: 10.4171/mag/152.
2022
Journal Article
Erxleben, T., Duwe, K., Saak, J., Köhler, M., & Kuhn, M. (2022)Green Storage: Parallel File Systems on ARMInternational Journal on Advances in Software, 15 (3-4), 200–210.
Journal Article
Hund, M., Mitchell, T., Mlinarić, P., & Saak, J. (2022)Optimization-Based Parametric Model Order Reduction via H2 ⊗ L2 First-Order Necessary ConditionsSIAM Journal on Scientific Computing, 44 (3), A1554–A1578doi: 10.1137/21M140290X.
Journal Article
Vettermann, J., Steinert, A., Brecher, C., Benner, P., & Saak, J. (2022)Compact Thermo-Mechanical Models for the Fast Simulation of Machine Tools with Nonlinear Component Behaviorat-Automatisierungstechnik, 70 (8), 692–704doi: 10.1515/auto-2022-0029.
2021
Journal Article
Fehr, J., Himpe, C., Rave, S., & Saak, J. (2021)Sustainable Research Software Hand-OverJournal of Open Research Software, 9 (1), 5doi: 10.5334/jors.307.
Journal Article
Vetterman, J., Sauerzapf, S., Naumann, A., Beitelschmidt, M., Herzig, R., Benner, P., & Saak, J. (2021)Model Order Reduction Methods for Coupled Machine Tool ModelsMM Science Journal, (Special Issue: ICTIMT2021), 4652–4659doi: 10.17973/MMSJ.2021_7_2021072.
2020
Journal Article
Benner, P., Bujanović, Z., Kürschner, P., & Saak, J. (2020)A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR ProblemsSIAM Journal on Scientific Computing, 42 (2), A957–A996doi: 10.1137/18M1220960.
Journal Article
Benner, P., Heinkenschloss, M., Saak, J., & Weichelt, H. K. (2020)Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI MethodApplied Numerical Mathematics, 152, 338–354doi: 10.1016/j.apnum.2019.11.016.
2019
Journal Article
Benner, P., Dufrechou, E., Ezzatti, P., Remón, A., & Saak, J. (2019)A GPU-Aware Mixed-Precision Solver for Low-Rank Algebraic Riccati EquationsConcurrency and Computation: Practice and Experience, 31 (6), e4462, 12 pagesdoi: 10.1002/cpe.4462.
Journal Article
Benner, P., Herzog, R., Lang, N., Riedel, I., & Saak, J. (2019)Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic ModelsEngineering Optimization, 51 (3), 465–483doi: 10.1080/0305215X.2018.1469133.
Journal Article
Köhler, M. & Saak, J. (2019)Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme with Application to the Matrix-Sign-Function on OpenPOWER 8Concurrency and Computation: Practice and Experience, 31 (6), e4504, 16 pagesdoi: 10.1002/cpe.4504.
Journal Article
Saak, J., Siebelts, D., & Werner, S. W. R. (2019)A Comparison of Second-Order Model Order Reduction Methods for an Artificial Fishtailat - Automatisierungstechnik, 67 (8), 648–667doi: 10.1515/auto-2019-0027.
2018
Journal Article
Baran, B., Benner, P., Heiland, J., & Saak, J. (2018)Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier-Stokes-Equations and Mesh MovementAnalele Stiintifice ale Universitatii Ovidius Constanta - Seria Matematica, 26 (2), 11–40doi: 10.2478/auom-2018-0016.
Journal Article
Benner, P., Bujanović, Z., Kürschner, P., & Saak, J. (2018)RADI: a Low-Rank ADI-Type Algorithm for Large Scale Algebraic Riccati EquationsNumerische Mathematik, 138 (2), 301–330doi: 10.1007/s00211-017-0907-5.
Journal Article
Hund, M. & Saak, J. (2018)A Connection between Time Domain Model Order Reduction and Moment Matching for LTI SystemsMathematical and Computer Modelling of Dynamical Systems, 24 (5), 455–484doi: 10.1080/13873954.2018.1488742.
2016
Journal Article
Anzt, H., Chow, E., Saak, J., & Dongarra, J. (2016)Updating Incomplete Factorization Preconditioners for Model Order ReductionNumerical Algorithms, 73 (3), 611–630doi: 10.1007/s11075-016-0110-2.
Journal Article
Benner, P., Heinkenschloss, M., Saak, J., & Weichelt, H. K. (2016)An Inexact Low-Rank Newton-ADI Method for Large-Scale Algebraic Riccati EquationsApplied Numerical Mathematics, 108, 125–142doi: 10.1016/j.apnum.2016.05.006.
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