Publications CSC group

Journal Article (19)

2020
Journal Article
Aliyev, N.; Benner, P.; Mengi, E.; Voigt, M.: A Subspace Framework for H-Norm Minimization. SIAM Journal on Matrix Analysis and Applications 41 (2), pp. 928 - 956 (2020)
Journal Article
Benner, P.; Breiten, T.; Hartmann, C.; Schmidt, B.: Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. Journal of Computational Dynamics 7 (1), pp. 1 - 33 (2020)
Journal Article
Benner, P.; Bujanović, Z.; Kürschner, P.; Saak, J.: A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems. SIAM Journal on Scientific Computing 42 (2), pp. A957 - A996 (2020)
Journal Article
Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Low-Rank Solution of an Optimal Control Problem governed by Random Navier-Stokes Equations. International Journal for Numerical Methods in Fluids (accepted)
Journal Article
Benner, P.; Goyal, P. K.; Van Dooren, P.: Identification of Port-Hamiltonian Systems from Frequency Response Data. Systems & Control Letters 143, 104741 (2020)
Journal Article
Benner, P.; Heinkenschloss, M.; Saak, J.; Weichelt, H. K.: Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI Method. Applied Numerical Mathematics 152, pp. 338 - 354 (2020)
Journal Article
Benner, P.; Trautwein, C.: Optimal Distributed and Tangential Boundary Control for the Unsteady Stochastic Stokes Equations. ESAIM: Control, Optimisation and Calculus of Variations (accepted)
Journal Article
Benner, P.; Werner, S. W. R.: Hankel-Norm Approximation of Large-Scale Descriptor Systems. Advances in Computational Mathematics 46 (3), 40 (2020)
Journal Article
Benner, P.; Werner, S. W. R.: Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems. Linear Algebra and its Applications (accepted)
Journal Article
Cao, X.; Benner, P.; Pontes Duff, I.; Schilders, W.: Model Order Reduction for Bilinear Control Systems with Inhomogeneous Initial Conditions. International Journal of Control (2020)
Journal Article
Chellappa, S.; Feng, L.; Benner, P.: Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems. International Journal for Numerical Methods in Engineering (accepted)
Journal Article
Khoromskaia, V.; Khoromskij, B.; Otto, F.: Numerical Study in Stochastic Homogenization for Elliptic Partial Differential Equations: Convergence Rate in the Size of Representative Volume Elements. Numerical Linear Algebra with Applications 27 (3), e2296 (2020)
Journal Article
Lin, L.-G.; Xin, M.: Nonlinear Control of Two-Wheeled Robot Based on Novel Analysis and Design of SDRE Scheme. IEEE Transactions on Control Systems Technology 28 (3), 8664452, pp. 1140 - 1148 (2020)
Journal Article
Mena, H.; Pfurtscheller, L.-M.; Stillfjord, T.: GPU Acceleration of Splitting Schemes Applied to Differential Matrix Equations. Numerical Algorithms 83 (1), pp. 395 - 419 (2020)
Journal Article
Palitta, D.; Valeria, S.: Optimality Properties of Galerkin and Petrov-Galerkin Methods for Linear Matrix Equations. Vietnam Journal of Mathematics: Special Issue dedicated to Volker Mehrmann's 65th birthday (accepted)
Journal Article
Penke, C.; Marek, A.; Vorwerk, C.; Draxl, C.; Benner, P.: High Performance Solution of Skew-symmetric Eigenvalue Problems with Applications in Solving the Bethe-Salpeter Eigenvalue Problem. Parallel Computing 96, 102639 (2020)
Journal Article
Pontes Duff, I.; Grundel, S.; Benner, P.: New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. IEEE Transactions on Automatic Control 65 (6), pp. 2526 - 2535 (2020)
Journal Article
Weinhandl, R.; Benner, P.; Richter, T.: Low-Rank Linear Fluid-Structure Interaction Discretizations. Zeitschrift für angewandte Mathematik und Mechanik (accepted)
Journal Article
Zhou, X.; Li, X.; Liu, F.; Ge, W.; Ma, X.; Tian, Y.; Li, G.; Zhang, J.; Qiu, Y.: The Comprehensive Evaluation Model of Power Supply Capacity for Regional-Oriented Distribution Network. Neural Computing and Applications 32 (9), pp. 5163 - 5171 (2020)

Book (1)

2020
Book
Benner, P.; Schilders, W.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Silveira, L. M. (Eds.): Model Order Reduction. De Gruyter (accepted)

Book Chapter (16)

2020
Book Chapter
Banagaaya, N.; Grundel, S.; Benner, P.: Index-Aware MOR for Gas Transport Networks. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018, pp. 191 - 207 (Eds. Fehr, J.; Haasdonk, B.). Springer International Publishing, Cham, Switzerland (2020)
Book Chapter
Benner, P.; Faßbender, H.: Model Order Reduction: Techniques and Tools. In: Encyclopedia of Systems and Control (Eds. Baillieul, J.; Samad, T.). Springer, London (accepted)
Book Chapter
Benner, P.; Grundel, S.; Mlinarić, P.: Clustering-Based Model Order Reduction for Nonlinear Network Systems. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser / Springer Nature, Chur, Switzerland (accepted)
Book Chapter
Benner, P.; Köhler, M.; Saak, J.: Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 -- Philosophy, Features and Application for (Parametric) Model Order Reduction. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser / Springer Nature, Chur, Switzerland (accepted)
Book Chapter
Benner, P.; Richter, T.; Weinhandl, R.: A Low-rank Approach for Nonlinear Parameter-dependent Fluid-structure Interaction Problems. In: European Numerical Mathematics and Advanced Applications Conference 2019, ENUMATH 2019, September 30 - October 4, 2019, Egmond aan Zee, The Netherlands. Springer (accepted)
Book Chapter
Benner, P.; Trautwein, C.: Optimal Control of the Stochastic Navier-Stokes Equations. In: Infinite Dimensional and Finite Dimensional Stochastic Equations and Applications in Physics, pp. 161 - 211 (Eds. Grecksch, W.; Lisei, H.). World Scientific (2020)
Book Chapter
Benner, P.; Werner, S. W. R.: MORLAB -- The Model Order Reduction LABoratory. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser/Springer Nature, Cham, Switzerland (accepted)
Book Chapter
Benner, P.; Werner, S. W. R.: MORLAB – A Model Order ReductionFramework in MATLAB & Octave. In: Mathematical Software - ICMS 2020: 7th International Conference, Braunschweig, Germany, July 13–16, 2020, Proceedings, Vol. 12097, pp. 432 - 441 (Eds. Bigatti, A. M.; Carette, J.; Davenport, J. H.; Joswig, M.; de Wolff, T.). Springer International Publishing, Cham (2020)
Book Chapter
Chellappa, S.; Feng, L.; Benner, P.: An Adaptive Sampling Approach for the Reduced Basis Method. In: Realization and Model Reduction of Dynamical Systems – A Festschrift in Honor of 70th Birthday of Thanos Antoulas (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer (accepted)
Book Chapter
Gosea, I. V.; Pontes Duff, I.; Benner, P.; Antoulas, A. C.: Model Order Reduction of Switched Linear Systems with Constrained Switching. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018, pp. 41 - 53 (Eds. Fehr, J.; Haasdonk, B.) (2020)
Book Chapter
Henning, J.; Palitta, D.; Simoncini, V.; Urban, K.: Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems. In: European Numerical Mathematics and Advanced Applications Conference 2019, ENUMATH 2019, September 30 - October 4, 2019, Egmond ann Zee, The Netherlands. Springer (accepted)
Book Chapter
Kalosha, J.; Zuyev, A.; Benner, P.: On the Eigenvalue Distribution for a Beam with Attached Masses. In: Stabilization of Distributed Parameter Systems: Design Methods and Applications (Eds. Sklyar, G.; Zuyev, A.). Springer (accepted)
Book Chapter
Mlinarić, P.; Rave, S.; Saak, J.: Parametric Model Order Reduction using pyMOR. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser / Springer Nature, Chur, Switzerland (accepted)
Book Chapter
Pontes Duff, I.; Goyal, P. K.; Benner, P.: Data-Driven Identification of Rayleigh-Damped Second-Order Systems. In: Realization and Model Reduction of Dynamical Systems - A Festschrift in Honor of 70th Birthday of Thanos Antoulas (Eds. Beattie, C.; Benner, P.; Embree, M.) (accepted)
Book Chapter
Rave, S.; Saak, J.: An Instationary Thermal-Block Benchmark Model for Parametric Model Order Reduction. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser / Springer Nature, Chur, Switzerland (accepted)
Book Chapter
Zuyev, A.; Benner, P.: Stabilization of Crystallization Models Governed by Hyperbolic Systems. In: Stabilization of Distributed Parameter Systems: Design Methods and Applications (Eds. Sklyar, G.; Zuyev, A.). Springer (accepted)

Conference Paper (4)

2020
Conference Paper
Benner, P.; Heiland, J.: Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough. In: 2020 European Control Conference (ECC), pp. 402 - 407. 2020 European Control Conference (ECC), Saint Petersburg, Russia, May 12, 2020 - May 15, 2020. IEEE (2020)
Conference Paper
Bhawal, C.; Benner, P.; Heiland, J.: PD Controllers to solve Single-Input, Index-1 DAE based LQR Problems. In: 2020 European Control Conference (ECC), pp. 1795 - 1800. 2020 European Control Conference (ECC), Saint Petersburg, Russia, May 12, 2020 - May 15, 2020. IEEE (2020)
Conference Paper
Grushkovskaya, V.; Zuyev, A.: Partial Stabilization of Nonholonomic Systems with Application to Multi-agent Coordination. In: 2020 European Control Conference (ECC), pp. 1665 - 1670. 2020 European Control Conference (ECC), Saint Petersburg, Russia, May 12, 2020 - May 15, 2020. IEEE (2020)
Conference Paper
Sauerzapf, S.; Vettermann, J.; Naumann, A.; Saak, J.; Beitelschmidt, M.; Benner, P.: Simulation of the Thermal Behavior of Machine Tools for Efficient Machine Development and Online Correction of the Tool Center Point (TCP)-Displacement. In: Special Interest Group Meeting on Thermal Issues Laboratory for Machine Tools and Production Engineering (WZL). Special Interest Group Meeting on Thermal Issues Laboratory for Machine Tools and Production Engineering (WZL), Aachen, Germany, February 26, 2020 - February 27, 2020. (accepted)

Meeting Abstract (9)

2020
Meeting Abstract
Aliyev, N.; Benner, P.; Mengi, E.; Mitchell, T.; Schwerdtner, P.; Voigt, M.: H-Control of Large-Scale Systems. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 395 - 397. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
Meeting Abstract
Benner, P.; Dolgov, S.; Decker Harris, K.; Kürschner, P.: Greedy Low-Rank Connectome Regression. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 111 - 112. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
Meeting Abstract
Benner, P.; Goyal, P. K.; Pontes Duff, I.: Balanced Truncation for Linear System with Quadratic Output: Theory, Error Bounds and Numerics. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 327 - 328. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
Meeting Abstract
Benner, P.; Goyal, P. K.; Pontes Duff, I.: Automatic Generation of Minimal and Reduced Models for Structured Parametric Dynamical Systems. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 199 - 200. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
Meeting Abstract
Daas, H. A.; Ballard, G.; Benner, P.: Communication-avoiding TT-tensor Orthogonalization and Rounding Procedures. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 93 - 94. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
Meeting Abstract
Daas, H. A.; Grigori, L.; Jolivet, P.; Tournier, P.-H.: A Multilevel Schwarz Preconditioner based on a Hierarchy of Robust Coarse Spaces. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 205 - 207. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
Meeting Abstract
Fassbender, H.; Benner, P.; Saltenberger, P.: A Rational Even-Ira Algorithm for the Solution of Alternating Polynomial Eigenvalue Problems. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 78 - 80. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
Meeting Abstract
Mitchell, T.: Computing the Kreiss Constant of a Matrix. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 275 - 277. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
Meeting Abstract
Palitta, D.: Matrix Equation Methods for Certain Evolutionary Partial Differential Equations. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 310 - 312. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)

Thesis - PhD (1)

2020
Thesis - PhD
Mlinarić, P.: Structure-Preserving Model Order Reduction for Network Systems. Dissertation, Otto-von-Guericke Universität, Magdeburg (2020)
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