MPI Magdeburg: CSC: Mitarbeiter: Jens Saak: Publications

@String { NumerAlg = {Numer. Algorithms} } @Article{BenPS22,
author = {Benner, P. and Palitta, D. and Saak, J.},
title = {On an integrated Krylov-ADI solver for large-scale Lyapunov equations},
journal = NumerAlg,
year = 2022,
volume = {},
number = {},
doi = {10.1007/s11075-022-01409-5},
}

@Article{morVetSBetal22,
author = {Vettermann J. and Steinert, A. and Brecher, C. and Benner, P. and Saak, J.},
title = {Compact thermo-mechanical models for the fast simulation of machine tools with nonlinear component behavior},
journal = atAutom,
year = 2022,
volume = 70,
number = 8,
pages = {692--704},
doi = {10.1515/auto-2022-0029} }

@article{BenBKetal18,
author = "Benner, P. and Bujanović, Z. and K{\"u}rschner, P. and Saak, J.",
title = "{RADI: A low-rank ADI-type algorithm for large scale algebraic Riccati equations}",
year = 2018,
journal = "Numer. Math.",
doi="10.1007/s00211-017-0907-5",
url="https://doi.org/10.1007/s00211-017-0907-5",
pages="301--330",
volume="138",
number="2" }

@String { CPE = {Concurrency and Comput.: Pract. Exper.} } @Article{KoeS18,
author = {K\"{o}hler, Martin and Saak, Jens},
title = {Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme with Application to the Matrix-Sign-Function on OpenPOWER 8},
journal = CPE,
year = 2018,
volume = 31,
number = 6,
month = apr,
doi = {doi.org/10.1002/cpe.4504} }

@Article{BenHLetal18b,
author = {Benner, P. and Herzog, R. and Lang, N. and Riedel, I. and Saak, J.},
title = {Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models},
journal = {Engineering Optimization},
year = 2018,
doi = {10.1080/0305215X.2018.1469133} }

@Article {BarBHetal18a,
author = {Baran, B. and Benner, P. and Heiland, J. and Saak, J.},
title = {Optimal Control of a {S}tefan Problem Fully Coupled with Incompressible {N}avier--{S}tokes Equations and Mesh Movement},
journal = {Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica},
year = 2018,
volume = {XXVI},
number = 2,
pages = {11--40},
month = aug,
fauthor = {Baran, Björn and Benner, Peter and Heiland, Jan and Saak,
Jens},
publisher = {Faculty of Mathematics and Computer Science, Ovidius University},
address = {Constanta, Romania},
repo = {git@gitlab.mpi-magdeburg.mpg.de:baran/JAMC_paper.git},
doi = {10.2478/auom-2018-0016} }

Article{BenHSetal16,
title = "An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations ",
author = "Benner, Peter and Heinkenschloss, Matthias and Saak,
Jens and Weichelt, Heiko~K.",
journal = ApplNumMath,
volume = 108,
pages = "125--142",
year = 2016,
month = oct,
issn = "0168-927",
doi = "10.1016/j.apnum.2016.05.006",
url = "https://www.sciencedirect.com/science/article/pii/S0168927416300824" }

@ARTICLE{morFehHHetal16,
author = {J. Fehr and J. Heiland and C. Himpe and J. Saak},
title = {Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software},
journal = {AIMS Mathematics},
volume = {1},
number = {3},
pages = {261--281},
year = {2016},
doi = {10.3934/Math.2016.3.261} }

@article{KoeS16a,
author = {K\"{o}hler, Martin and Saak, Jens},
title = {On {BLAS} Level-3 Implementations of Common Solvers for (Quasi-) Triangular Generalized {L}yapunov Equations},
journal = ACMMathSoft,
issue_date = {August 2016},
volume = 43,
number = 1,
month = aug,
year = 2016,
issn = {0098-3500},
pages = {3:1--3:23},
numpages = 23,
url = {https://doi.acm.org/10.1145/2850415},
doi = {10.1145/2850415},
acmid = 2850415,
publisher = {ACM},
address = {New York, NY, USA},
}

@Article{KoeS16,
author = {K{\"o}hler, Martin and Saak, Jens},
title = {On {GPU} Acceleration of Common Solvers for (Quasi-) Triangular Generalized {L}yapunov Equations},
journal = {Parallel Computing},
year = 2016,
issn = {0167-8191},
doi = {10.1016/j.parco.2016.05.010"},
url = {https://www.sciencedirect.com/science/article/pii/S0167819116300436} }

@ARTICLE{morBenSU16a,
author = {Benner, P. and Saak, J. and Uddin, M.~M.},
title = {Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model},
journal = {Math. Comput. Model. Dyn. Syst.},
volume = 22,
number = 6,
pages = {509--523},
year = {2016},
month = aug,
doi = {10.1080/13873954.2016.1218347},
}

@String{SIAMSciComp = \"{SIAM} J. Sci. Comput.\" } @Article{BaeBSetal15,
author = \"B{\"a}nsch, E. and Benner, P. and Saak, J. and Weichelt, H.~K.\",
title = \"{R}iccati-based boundary feedback stabilization of incompressible {N}avier-{S}tokes flows\",
year = 2015,
number = 2,
journal = SIAMSciComp,
volume = 37,
pages = {A832--A858},
doi = {10.1137/140980016} }

@ARTICLE{LanSBetal15,
author = {{Lang}, N. and {Saak}, J. and {Benner}, P. and {Ihlenfeldt}, S. and {Nestmann}, S. and {Sch{\"a}dlich}, K.},
title = {Towards the identification of heat induction in chip removing processes via an optimal control approach},
issn = {0944-6524},
journal = {Production Engineering},
doi = {10.1007/s11740-015-0608-9},
publisher = {Springer Berlin Heidelberg},
year = 2015,
volume = {9},
number = {3},
pages = {343--349} }

@ARTICLE{BenKS14,
author = {Peter Benner and Patrick K{\"u}rschner and Jens Saak},
title = {Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations},
year = 2014,
journal = {Electronic Transaction on Numerical Analysis},
number=43,
pages={142-162},
doi={10.17617/2.2071065},
note = {Early version available from \url{https://www.mpi-magdeburg.mpg.de/preprints/}},
}

@Article{morLanSB14,
author = {Lang, Norman and Saak, Jens and Benner, Peter},
title = {Model Order Reduction for Systems with Moving Loads},
journal = {at-Automatisierungstechnik},
year = 2014,
volume = 62,
number = 7,
pages = {512--522},
month = {June},
publisher = {deGruyter},
doi = {10.1515/auto-2014-1095} }

@article {BenKS12,
author = {Benner, Peter and K{\"u}rschner, Patrick and Saak, Jens},
affiliation = {Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstraße 1, 39106 Magdeburg, Germany},
title = {Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method},
journal = {Numerical Algorithms},
publisher = {Springer U.S.},
issn = {1017-1398},
keyword = {Computer Science},
volume={62},
issue={2},
pages = {225-251},
url = {https://dx.doi.org/10.1007/s11075-012-9569-7},
note = {10.1007/s11075-012-9569-7},
}

@Article{BenKS13,
author = {Peter Benner and Patrick Kürschner and Jens Saak},
title = {An Improved Numerical Method for Balanced Truncation for Symmetric Second Order Systems},
year = 2013,
journal = {Mathematical and Computer Modelling of Dynamical Systems},
volume=19,
number=6,
pages={593--615},
doi = {10.1080/13873954.2013.794363},
note = {Early Version available from \url{https://www.mpi-magdeburg.mpg.de/preprints/2012/20/}},
}

@String{MCMDS = {Math. Comput. Model. Dyn. Sys.}} @Article{BenS11,
author = {P. Benner and J. Saak},
title = {{Efficient Balancing based MOR for Large Scale Second Order Systems}},
journal = MCMDS,
year = 2011,
volume = 17,
number = 2,
pages = {123--143},
note = {DOI:10.1080/13873954.2010.540822},
}

@ARTICLE{BMS08,
author = {P. Benner and H. Mena and J. Saak},
title = {On the Parameter Selection Problem in the {N}ewton-{ADI} Iteration for Large-Scale {R}iccati Equations},
journal = {Electronic Transitions on Numerical Analysis},
year = {2008},
volume = {29},
pages = {136-149},
booktitle = {Special Volume on Applied Linear Algebra},
comment = {ISSN 1068-9613},
publisher = {ETNA},
series = {Electronic Transitions on Numerical Analysis} }

@InCollection{morMliRS21,
author = {Mlinari{\'c}, P. and Rave, S. and Saak, J.},
title = {Parametric model order reduction using {pyMOR}},
booktitle = {Model Reduction of Complex Dynamical Systems},
series = {International Series of Numerical Mathematics},
volume = {171},
editor = {Benner, P. and Breiten, T. and Fa{\ss}bender, H. and Hinze, M. and Stykel, T. and Zimmermann, R.},
publisher = {Birkh{\"a}user, Cham},
pages = {357--367},
year = 2021,
doi = {10.1007/978-3-030-72983-7_17},
}

@InCollection{morLanSB15,
author = {Norman Lang, Jens Saak, Peter Benner},
title = {{M}odel {O}rder {R}eduction for {T}hermo-{E}lastic {A}ssembly {G}roup {M}odels},
booktitle = {{T}HERMO-{E}NERGETIC {D}ESIGN OF {M}ACHINE {T}OOLS},
publisher = {Springer International Publishing},
address = {Switzerland},
isbn = {978-3-319-12624-1},
doi = {10.1007/978-3-319-12625-8_8},
year = {2015},
chapter = {8},
pages = {85--93},
}

@incollection{BenGS05,
author = {P. Benner and S. G{\"o}rner and J. Saak},
title = {Numerical solution of optimal control problems for parabolic systems},
booktitle = {Parallel Algorithms and Cluster Computing. Implementations, Algorithms, and Applications},
series = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer-Verlag, Berlin/Heidelberg, Germany},
year = {2006},
pages = {151-169},
editor = {K.H. Hoffmann and A. Meyer} }

@STRING{PAMM = {Proc. Appl. Math. Mech.}} @Article{morHunMS18,
author = {Hund, M. and Mlinari\'{c}, P. and Saak, J.},
title = {An \(\mathcal{H}2 \times \mathcal{H}2\)-Optimal Model Order Reduction Approach for Parametric Linear Time-Invariant Systems},
journal = PAMM,
year = 2018,
volume = 18,
number = 1,
pages = {e201800084},
month = nov }

@String{PAMM = {Proc. Appl. Math. Mech.}} @String { WileyVCH = {WILEY-VCH Verlag} } @Article {BarBHetal17,
fauthor = {Baran, Björn and Benner, Peter and Heiland, Jan and Saak, Jens},
author = {Baran, B. and Benner, P. and Heiland, J. and Saak, J.},
title = {Towards {R}iccati-Feedback Control of Complex Flows with Moving Interfaces},
journal = PAMM,
volume = 17,
number = 1,
pages = {769--770},
year = 2017,
publisher = WileyVCH,
DOI = {10.1002/pamm.201710352},
}

@inproceedings{KoeS17,
title = {{Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme on OpenPower 8}},
booktitle = { 2nd Workshop on Power-Aware Computing 2017}, year = 2017,
publisher = {Zenodo},
month = may,
doi = {10.5281/zenodo.574664},
url = {https://doi.org/10.5281/zenodo.574664} }

@INPROCEEDINGS{morBenSU16b,
author = {Benner, P. and Saak, J. and Uddin, M.~M.},
title = {Reduced-Order Modeling of Index-1 Vibrational Systems Using Interpolatory Projections},
booktitle = {Proceedings of the 19th International Conference On Computer and Information Technology},
address = {Dhaka, Bangladesh},
publisher = {IEEE Publications},
pages = {134--138},
year = {2016},
DOI = {10.1109/ICCITECHN.2016.7860183},
month = dec }

@Article {KoeLS16,
author = {K\"{o}hler, Martin and Lang, Norman and Saak, Jens},
title = {Solving Differential Matrix Equations using Parareal},
journal = {Proc. Appl. Math. Mech.},
volume = 16,
number = 1,
publisher = {WILEY-VCH Verlag},
issn = {1617-7061},
doi = {10.1002/pamm.201610412},
pages = {847--848},
year = 2016,
repo = {https://svncsc.mpi-magdeburg.mpg.de/repos/mpcsc/pubs/160531_koehler_lang_saak_PAMM_parareal} }

@String{PAMM = \"Proc. Appl. Math. Mech.\" }
@String{WileyVCH = \"WILEY-VCH Verlag\" }
@Article{BarKPetal14,
author = {B. Baran and M. Köhler and N. Prasad and J. Saak},
title = {Numerical Solution of Large Scale Sparse Matrix Equations in {P}ython},
journal = PAMM,
year = {2014},
volume = 14,
number = 1,
pages = {959--960},
month = dec }

@InProceedings{BenSSW14,
author = {{Benner}, P. and {Saak}, J. and {Stoll}, M. and {Weichelt}, H.~K.},
title = {Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-Field Flow Problems},
booktitle = {System Modeling and Optimization},
editor = {Christian P\"otzsche and Clemens Heuberger and Barbara Kaltenbacher and Franz Rendl},
series = {{IFIP} Advances in Information and Communication Technology},
publisher = {Springer},
year = 2014,
volume = 443,
pages = {11--20} }

@Article{LanMS14,
title = {An {$LDL^T$} factorization based {ADI} algorithm for solving large scale differential matrix equations},
author = {N. Lang and H. Mena and J. Saak},
publisher = {WILEY-VCH Verlag},
journal = {Proceedings in Applied Mathematics and Mechanics},
volume = 14,
number = 1,
year = 2014,
url = {https://onlinelibrary.wiley.com/doi/10.1002/pamm.201410394/abstract},
doi = {10.1002/pamm.201410394},
pages = {827--828} }

@INPROCEEDINGS{morBenLS13,
author = {Peter Benner,
orman Lang,
ens Saak},
title = {Modeling structural variability in reduced order models of machine tool assembly groups via parametric MOR},
journal = {Proceedings in Applied Mathematics and Mechanics},
publisher = {WILEY-VCH Verlag},
year = {2013},
volume = {13},
number = {1},
url = {https://dx.doi.org/10.1002/pamm.201310233},
doi = {10.1002/pamm.201310233},
pages = {481--482},
}

@InProceedings{BenLS13,
author = {{Benner}, P. and {Lang}, N. and {Saak}, J.},
title = {Modellreduktion für geschaltete, gekoppelte thermo-elastische Systeme},
booktitle = {Tagungsband des 3. Kolloquiums zum SFB/TR 96: Thermo-Energetische Gestaltung von Werkzeugmaschinen - Modellierung und Simulation},
pages = {102-126},
year = 2013,
editor = {K. Großmann}

@INPROCEEDINGS{SaaUV13,
author = {Jens Saak and M. Monir Uddin and Matthias Voigt},
title = {Modellreduktion für strukturierte {I}ndex-3-{S}ysteme},
booktitle= {Tagungsband des GMA-Fachausschusses 1.30 \glqq Modellbildung, Identifikation und Simulation in der Automatisierungstechnik\grqq},
pages = {180--190},
editor = {Oliver Sawodny and J\"urgen Adamy},
month = {November},
year = {2013},
publisher = {Technische Universit\"at Darmstadt, Institut f\"ur Automatisierungstechnik und Mechatronik},
isbn = {978-3-9815012-5-4},
}

@article{morBenKS12,
title = "Improved second-order balanced truncation for symmetric systems",
journal = "IFAC Proceedings Volumes",
volume = "45",
number = "2",
pages = "758 - 762",
year = "2012",
editor = "Troch,
I. and Breitenecker,
F.",
note = "7th Vienna International Conference on Mathematical Modelling",
issn = "1474-6670",
doi = "10.3182/20120215-3-AT-3016.00134",
author = "Jens Saak and Peter Benner and Patrick K{\"u}rschner",
}

@InProceedings{MacS12,
author = {T. Mach and J. Saak},
title = {How Competitive is the ADI for Tensor Structured Equations?},
journal = {PAMM},
volume = {12},
number = {1},
publisher = {WILEY-VCH Verlag},
issn = {1617-7061},
year = {2011},
note = {DOI: 10.1002/pamm.201210306},
}

@article{morBenKS12,
title = "A Goal-Oriented Dual LRCF-ADI for Balanced Truncation",
journal = "IFAC Proceedings Volumes",
volume = "45",
number = "2",
pages = "752 - 757",
year = "2012",
editor = "Troch, I. and Breitenecker, F.",
note = "7th Vienna International Conference on Mathematical Modelling", issn = "1474-6670",
doi = "10.3182/20120215-3-AT-3016.00133", author = "Jens Saak and Peter Benner and Patrick K{\"u}rschner", }

@InProceedings{BonSSetal11,
author = {Bonin, T. and Soppa, A. and Saak, J. and Zaeh,
M. and Fa{\ss}bender, H. and Benner, P.},
title = {Moderne {M}odellordnungsreduktionsverfahren für {F}inite-{E}lemente-{M}odelle zur {S}imulation von {W}erkzeugmaschinen},
booktitle = {Fachtagung MECHATRONIK 2011, Dresden,
31.03.-01.04.2011},
pages = {333--338},
year = 2011,
note = {ISBN 978-3-00-033892-2} }

@InProceedings{BenBFetal09,
author = {Benner, P. and Bonin, T. and Fa{\ss}bender, H. and Saak,
J. and Soppa, A. and Zaeh, M.},
title = {{Novel Model Reduction Techniques for Control of Machine Tools}},
booktitle = {Proceedings of ANSYS Conference \& 27. CADFEM Users\\\\'{} Meeting 2009, 18.-20. November 2009,
Congress Center Leipzig},
year = 2009,
address = {Grafing},
publisher = {CADFEM GmbH},
note = {ISBN/ISSN: 3-937523-06-5} }

@InProceedings{MenS09,
author = {H. Mena and J. Saak},
title = {Simulaci\\\'on num\\\'erica de circuitos el\\\'ectricos a gran escala},
year = 2009,
booktitle = {Proceedings of XXII JORNADAS DE INGENIER\\\'IA EL\\\'ECTRICA Y ELECTR\\\'ONICA},
note = {ISBN/ISSN: 978-9978-383-00-1} }

@article{BenS07,
author = {P. Benner and J. Saak},
title = {Application of LQR Techniques to the Adaptive Control of Quasilinear Parabolic PDEs},
year = {2007},
month = {december},
journal = {Proc. Appl. Math. Mech.},
volume = {7},
number = {1},
note = {DOI: 10.1002/pamm.200700240} }

@article{BenS04,
author = {P. Benner and J. Saak},
title = {Efficient numerical solution of the {LQR}-problem for the heat equation},
year = {2004},
journal = {Proc. Appl. Math. Mech.},
volume = {4},
number = {1},
pages = {648--649},
annote = {https://www.wiley-vch.de/home/pamm} }

@TECHREPORT{MPIMD13-22,
author = { Björn Baran and Martin Köhler and Nitin Prasad and Jens Saak},
title = {Interfacing C-M.E.S.S. with Python},
number = {MPIMD/13-22},
month = nov,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{https://www.mpi-magdeburg.mpg.de/preprints/}},
}

@TECHREPORT{MPIMD11-11,
author = { Peter Benner, Martin Köhler, Jens Saak},
title = {{Sparse-Dense Sylvester Equations in H2-Model Order Reduction},
institution = {Max Planck Institute Magdeburg Preprints},
year = 2011,
number = {MPIMD/11-11},
month = {December} }

@TechReport{BenS10,
author = {P. Benner and J. Saak},
title = {{A Galerkin-Newton-ADI Method for Solving Large-Scale Algebraic Riccati Equations}},
institution = {SPP1253},
note = {\url{https://www.am.uni-erlangen.de/home/spp1253/wiki/index.php/Preprints}},
year = 2010,
number = {SPP1253-090},
month = {January},
type = {Preprint} }

@TechReport{SaaS09,
author = {Jens Saak and Stephan Schl\"omer},
title = {{RRQR-MEX - Linux and Windows 32bit Matlab Mex-Files for the rank revealing QR factorization.}},
institution = {Chemnitz Scientific Computing},
year = 2009,
number = {09-09},
month = {December} }

@PhdThesis{Saa09,
author = {Jens Saak},
title = {Efficient Numerical Solution of Large Scale Algebraic Matrix Equations in PDE Control and Model Order Reduction},
school = {TU Chemnitz},
year = 2009,
month = {July},
note = {available from \url{https://nbn-resolving.de/urn:nbn:de:bsz:ch1-200901642}} }