Working Paper (48)

2018
Working Paper
Kürschner, P.; Freitag, M. A.: Inexact Methods for the Low Rank Solution to Large Scale Lyapunov Equations. (2018)
2017
Working Paper
Behr, M.; Benner, P.; Heiland, J.: Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients. (2017)
Working Paper
Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods. (2017)
Working Paper
Benner, P.; Goyal, P. K.: Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems. (2017)
2016
Working Paper
Du, X.; Benner, P.: Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. (2016)
Working Paper
Kuehn, C.; Kürschner, P.: Combined Error Estimates for Local Fluctuations of SPDEs. (2016)

Report (3)

2015
Report
Annual Report 2014 / Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg. (2015), 64 pp.
2014
Report
Annual Report 2013 / Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg. (2014), 64 pp.
Report
Benner, P.; Mena, H.; Schneider, R.: Drugs, Herbicides, and Numerical Simulation (Snapshots of modern mathematics from Oberwolfach, 10). (2014), 9 pp.

Issue (6)

2021
Issue
Benner, P.; Klawonn, A.; Stoll, M. (Eds.): Special Issue:Scientific Machine Learning ‐ Part I (Special issue). GAMM-Mitteilungen 44, (1) (2021)
Issue
Gräßle, C.; Mlinarić, P. (Eds.): Special Issue: 7th GAMM Juniors' Summer School on Applied Mathematics and Mechanics (SAMM) (Special issue). Proceedings in Applied Mathematics and Mechanics (PAMM) 20, (S1) (2021)
2020
Issue
Benner, P.; Kressner, D.; Phu, H. X. (Eds.): Special Issue Dedicated to Volker Mehrmann on the Occasion of his 65th Birthday (Special issue). Vietnam Journal of Mathematics 48, (4) (2020)
2014
Issue
Benner, P.; Sadkane, M.; Salam, A. (Eds.): Special issue dedicated to a workshop held at CIRM, Luminy (France), October 8–12, 2012 (Special issue). BIT Numerical Mathematics 54, (1) (2014)
2013
Issue
Benner, P.; Kressner, D. (Eds.): Special Issue (Special issue). GAMM-Mitteilungen 36, (1) (2013)
2012
Issue
Benner, P.; Embree, M.; Kelley, C. T.; Lehoucq, R. B. (Eds.): Special Issue dedicated to Danny Sorensen's 65th birthday (Special issue). Linear Algebra and its Applications 436, (8) (2012)

Other (1)

2022
Other
Benner, P.; Burger, M.; Göddeke, D.; Görgen, C.; Himpe, C.; Hintermüller, M.; Heiland, J.; Koprucki, T.; Ohlberger, M.; Rave, S. et al.; Reidelbach, M.; Saak, J.; Schöbel, A.; Tabelow, K.; Weber, M.: Die mathematische Forschungsdateninitiative in der NFDI: MaRDI (Mathematical Research Data Initiative), GAMM Rundbrief 1/2022, pp. 40 - 43 (2022)

Editorial (27)

2022
Editorial
Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.: Preface. Realization and Model Reduction of Dynamical Systems, pp. vii - xv (2022)
Editorial
Benner, P.; Cai, X.-C.; Klawonn, A.: Preface to Special Volume on Scientific Machine Learning. Electronic Transactions on Numerical Analysis: Special Issue SciML 56, p. viii (2022)
2021
Editorial
Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T.; Zimmermann, R.: Preface to Model Reduction of Complex Dynamical Systems. Model Reduction of Complex Dynamical Systems, pp. v - ix (2021)
Editorial
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M.: Preface to the third Volume of Model Order Reduction. Model Order Reduction: Volume 3: Applications, pp. V - VI (2021)
Editorial
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M.: Preface to the second Volume of Model Order Reduction. Model Order Reduction: Volume 2: Snapshot-Based Methods and Algorithms, pp. V - VI (2021)
Editorial
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M.: Preface to the first Volume of Model Order Reduction. Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms, pp. V - VIII (2021)
Editorial
Benner, P.; Klawonn, A.; Stoll, M.: Topical Issue Scientific Machine Learning (1/2). Special Issue: Scientific Machine Learning ‐ Part I 44 (1), e202100005 (2021)
Editorial
Benner, P.; Klawonn, A.; Stoll, M.: Topical Issue Scientific Machine Learning (2/2). GAMM Mitteilungen - Special Issue: Scientific Machine Learning ‐ Part II 44 (2), e202100005 (2021)
Editorial
Benner, P.; Quintana-Ortì, E.; Saak, J.: Introduction to the Special Issue related to the Power Aware Computing Workshop 2019 — PACO 2019. International Journal of High Performance Computing Applications 35 (3), pp. 209 - 210 (2021)
Editorial
Zuyev, A.; Sklyar, G.: Preface. Stabilization of Distributed Parameter Systems: Design Methods and Applications, p. v (2021)
2020
Editorial
Benner, P.; Kressner, D.; Phu, H. X.: Numerical Mathematics and Control. Vietnam Journal of Mathematics: Special Issue dedicated to Volker Mehrmann´s 65th birthday 48 (4), pp. 615 - 620 (2020)
2019
Editorial
Ezzatti, P.; Quintana-Ortí, E. S.; Remón , A.; Saak, J.: Power‐Aware Computing (PACO 2017): Special Issue. Concurrency and Computation 31 (6), pp. 1 - 3 (2019)
2018
Editorial
Benner, P.; Faßbender, H.; Grasedyck, L.; Kressner, D.; Meini, B.; Simoncini, V.: 7th Workshop on Matrix Equations and Tensor Techniques. Numerical Linear Algebra with Applications: Special Issue: 7th Workshop on Matrix Equations and Tensor Techniques 25 (6), p. e2223 (2018)
Editorial
Benner, P.; Faßbender, H.; Hinze, M.; Stykel, T.; Zimmermann, R.: Model Reduction of Complex Dynamical Systems. Advances in Computational Mathematics 44 (6), pp. 1687 - 1689 (2018)
2017
Editorial
Benner, P.: Preface: System Reduction for Nanoscale IC Design. System Reduction for Nanoscale IC Design, pp. v - vii (2017)
Editorial
Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K.: Preface: Model Reduction and Approximation: Theory and Algorithms. Model Reduction and Approximation: Theory and Algorithms, pp. xix - xx (2017)
Editorial
Rozza, G.; Benner, P.; Ohlberger, M.; Patera, A. T.; Urban, K.: Preface: Model Reduction of Parametrized Systems. Model Reduction of Parametrized Systems 17, pp. v - vi (2017)
2016
Editorial
Grepl, M.; Lohmann, B.; Saak, J.: Introduction. Mathematical and Computer Modelling of Dynamical Systems 22 (4), pp. 265 - 266 (2016)
Editorial
Zhou, B.; Chu, D.; Saak, J.; Xiao, M.: Matrix Equations with Application to Control Theory. Journal of the Franklin Institute 353 (5), pp. 971 - 973 (2016)
2015
Editorial
Benner, P.; Bollhöfer, M.; Kressner, D.; Mehl, C.; Stykel, T.: Preface: Festschrift in Honor of Volker Mehrmann. Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, pp. V - XVII (2015)
Editorial
Benner, P.; Herzog, R.; Hinze, M.; Rösch, A.; Schiela, A.; Schulz, V.: Introduction to the special issue for EUCCO 2013. Computational Optimization and Applications 62 (1), pp. 1 - 3 (2015)
Editorial
Benner, P.; Ohlberger, M.; Patera, A. T.; Rozza, G.; Sorensen, D. C.; Urban, K.: Model Order Reduction of Parameterized Systems (MoRePaS). Advances in Computational Mathematics 41 (5), pp. 955 - 960 (2015)
2014
Editorial
Benner, P.; Rannacher, R.: Introduction to Part III Adaptivity and Model Reduction. Trends in PDE Constrained Optimization, pp. 249 - 250 (2014)
Editorial
Benner, P.; Sadkane, M.; Salam, A.: Structured Matrix Computations in Non-Euclidean Geometries: Algorithms and Applications: Algorithms and Applications: Editorial of the Special Issue dedicated to a Workshop held at CIRM, Luminy (France), October 8-12, 2012. BIT Numerical Mathematics 54 (1), pp. 1 - 5 (2014)
Editorial
Leugering, G.; Griewank, A.; Ulbrich, S.; Harbrecht, H.; Benner, P.; Rannacher, R.; Hinze, M.; Engell, S.: Introduction. Trends in PDE Constrained Optimization, pp. 1 - 4 (2014)
2013
Editorial
Benner, P.; Kressner, D.: Preface of the Guest-Editors. GAMM Mitteilungen 36 (1), pp. 6 - 7 (2013)
2012
Editorial
Benner, P.; Embree, M.; Lehoucq, R. B.; Kelley, C. T.: A Mathematical Biography of Danny C. Sorensen. Linear Algebra and its Applications 436 (8), pp. 2717 - 2724 (2012)

Software (14)

2021
Software
Benner, P.; Werner, S. W. R.: SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm (Version 2.0). (2021)
Software
Benner, P.; Werner, S. W. R.: SOLBT - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 3.0). (2021)
Software
Saak, J.; Köhler, M.; Benner, P.: M-M.E.S.S.-2.1 – the Matrix Equations Sparse Solvers Library. (2021)
2020
Software
Benner, P.; Werner, S. W. R.: SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm (Version 1.1). (2020)
Software
Benner, P.; Werner, S. W. R.: Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 2.0). (2020)
Software
Saak, J.; Köhler, M.; Benner, P.: M-M.E.S.S.-2.0.1 – the Matrix Equations Sparse Solvers Library. (2020)
2019
Software
Benner, P.; Werner, S. W. R.: Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 1.0). (2019)
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