Working Paper (64)

2021
Working Paper
Redmann, M.; Pontes Duff, I.: Full State Approximation by Galerkin Projection Reduced Order Models for Stochastic and Bilinear Systems. submitted to the Journal of Differential Equations (2021)
Working Paper
Sarna, N.; Benner, P.: Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities. (2021)
Working Paper
Zhang, Q.; Gosea, I. V.; Antoulas, A. C.: Factorization of the Loewner matrix pencil and its consequences. (2021)
2020
Working Paper
Alla, A.; Gräßle, C.; Hinze, M.: Time Adaptivity in Model Predictive Control. (2020)
Working Paper
Banagaaya, N.; Ali, G.; Grundel, S.; Benner, P.: Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations. (2020)
Working Paper
Beddig, R. S.; Benner, P.; Dorschky, I.; Reis, T.; Schwerdtner, P.; Voigt, M.; Werner, S. W. R.: Structure-Preserving Model Reduction for Dissipative Mechanical Systems. (2020)
Working Paper
Benner, P.; Heiland, J.: Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification. (2020)
Working Paper
Benner, P.; Liang, X.: Convergence Analysis of Extended LOBPCG for Computing Extreme Eigenvalues. (2020)
Working Paper
Cherifi, K.; Goyal, P. K.; Benner, P.: A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data. (2020)
Working Paper
Daas, H. A.; Ballard, G.; Benner, P.: Parallel Algorithms for Tensor Train Arithmetic. (2020)
Working Paper
Gosea, I. V.; Karachalios, D.; Antoulas, A. C.: Learning reduced-order models of quadratic control systems from input-output data. (2020)
Working Paper
Gosea, I. V.; Poussot-Vassal, C.; Antoulas, A. C.: On Loewner data-driven control for infinite-dimensional systems. (2020)
Working Paper
Gosea, I. V.; Antoulas, A. C.: Rational approximation of the absolute value function from measurements: a numerical study of recent methods. (2020)
Working Paper
Gosea, I. V.; Güttel, S.: Algorithms for the Rational Approximation of Matrix-Valued Functions. (2020)
Working Paper
Goyal, P. K.; Daas, H. A.; Benner, P.: Low-Rank and Total Variation Regularization and Its Application to Image Recovery. (2020)
Working Paper
Grundel, S.; Herty, M.: Hyperbolic Discretization via Riemann Invariants. (2020)
Working Paper
Grundel, S.; Heyder, S.; Hotz, T.; Ritschel, T. K.S.; Sauerteig, P.; Worthmann, K.: How much testing and social distancing is required to control COVID-19? Some insight based on an age-differentiated compartmental model. (2020)
Working Paper
Heiland, J.; Zuazua, E.: Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems. (2020)
Working Paper
Himpe, C.: Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms. (2020)
Working Paper
Kour, K.; Dolgov, S.; Stoll, M.; Benner, P.: Efficient Structure-preserving Support Tensor Train Machine. (2020)
Working Paper
Mitchell, T.: Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation. (2020)
Working Paper
Sarna, N.: A Positive and Stable L2-minimization Based Moment Method for the Boltzmann Equation of Gas dynamics. submitted to Journal of Computational Physics (2020)
Working Paper
Sarna, N.; Giesselmann, J.; Benner, P.: Data-Driven Snapshot Calibration via Monotonic Feature Matching. (2020)
Working Paper
Sarna, N.; Grundel, S.: Model Reduction of Time-Dependent Hyperbolic Equations using Collocated Residual Minimisation and Shifted Snapshots. submitted to SISC (2020)
Working Paper
Weinhandl, R.; Benner, P.; Richter, T.: A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity. (2020)
2019
Working Paper
Benner, P.; Goyal, P. K.; Pontes Duff, I.: Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction. (2019)
Working Paper
Khodkar, M. A.; Hassanzadeh, P.; Antoulas, A. C.: A Koopman-based Framework for Forecasting the Spatiotemporal Evolution of Chaotic Dynamics with Nonlinearities Modeled as Exogenous Forcings. (2019)
Working Paper
Palitta, D.: The projected Newton-Kleinman Method for the Algebraic Riccati Equation. (2019)
Working Paper
Yue, Y.; Feng, L.; Benner, P.: An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models. (2019)
2018
Working Paper
Benner, P.; Lang, N.: Peer Methods for the Solution of Large-Scale Differential Matrix Equations. (2018)
Working Paper
Benner, P.; Onwunta, A.; Stoll, M.: On the Existence and Uniqueness of the Solution of a Parabolic Optimal Control Problem with Uncertain Inputs. (2018)
Working Paper
Khodkar, M. A.; Antoulas, A. C.; Hassanzadeh, P.: Data-driven Spatio-temporal Prediction of High-dimensional Geophysical Turbulence using Koopman Operator Approximation. (2018)
Working Paper
Kungurtsev, V.; Mitchell, T.; Vyhlidal, T.: A Comparison of Nonsmooth, Nonconvex, Constrained Optimization Solvers for the Design of Time-Delay Compensators. (2018)
Working Paper
Kürschner, P.: Residual Minimizing Shift Parameters for the Low-Rank ADI Iteration. (2018)
Working Paper
Kürschner, P.; Freitag, M. A.: Inexact Methods for the Low Rank Solution to Large Scale Lyapunov Equations. (2018)
Working Paper
Vogel, S. K.; Wölfer, C.; Ramirez, D. A.; Flassig, R.; Sundmacher, K.; Schwille, P.: Emergence of Directional Actomyosin Flows from Active Matter Vibrations. bioRxiv (2018), 14 pp.
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)
Working Paper
Gosea, I. V.; Antoulas, A. C.: Approximation of a damped Euler-Bernoulli beam model in the Loewner framework. (2017)
Working Paper
Karachalios, D.; Gosea, I. V.; Zhang, Q.; Antoulas, A. C.: Case study: Approximations of the Bessel Function. (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 (6)

2019
Report
Report 2017 - 2018 / Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg. (2019), 92 pp.
2017
Report
Report 2015 - 2016 / Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg. (2017), 88 pp.
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.
2005
Report
Seidel-Morgenstern, A.; Budde, U.; Lorenz, H.; Beckmann, W.; Brandt, A.; Gedicke, K.; Sapoundjiev, D.: Stofftrennung durch Kopplung von Chromatographie und Kristallisation: Abschlussbericht des Projektes NMT/CT/03C0319 im Rahmen der BMBF-Fördermaßnahme "Technische Anwendungen der Nichtlinearen Dynamik". (2005), VIII, 177 pp.

Issue (15)

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)
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