Working Paper (58)

2020
Working Paper
Benner, P.; Stillfjord, T.; Trautwein, C.: A Linear Implicit Euler Method for the Finite Element Discretization of a Controlled Stochastic Heat Equation. (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
Feng, L.; Benner, P.: On Error Estimation for Reduced-order Modeling of Linear Non-Parametric and Parametric 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)
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Gosea, I. V.; Güttel, S.: Algorithms for the Rational Approximation of Matrix-Valued Functions. (2020)
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Gosea, I. V.; Petreczky, M.; Leth, J.; Wisniewski, R.; Antoulas, A. C.: Model Reduction of Linear Hybrid Systems. (2020)
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Gosea, I. V.; Pontes Duff, I.: Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition. (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
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.; 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
Stoll, A.; Benner, P.: Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties. (2020)
Working Paper
Weinhandl, R.; Benner, P.; Richter, T.: A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity. (2020)
Working Paper
Yıldız, S.; Goyal, P. K.; Benner, P.; Karasözen, B.: Data-Driven Learning of Reduced-order Dynamics for a Parametrized Shallow Water Equation. (2020)
2019
Working Paper
Asif, M. M. A.; Ahmad, M. I.; Benner, P.; Feng, L.; Stykel, T.: Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems. (2019)
Working Paper
Behr, M.; Benner, P.; Heiland, J.: Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. (2019)
Working Paper
Benner, P.; Goyal, P. K.; Pontes Duff, I.: Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs. (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
Benner, P.; Khoromskaia, V.; Khoromskij, B.; Kweyu, C. M.; Stein, M.: Computing Electrostatic Potentials using Regularization based on the Range-Separated Tensor Format. (2019)
Working Paper
Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.: Analysis of Switching Strategies for the Optimization of Periodic Chemical Reactions with Controlled Flow-Rate. (2019)
Working Paper
Fehr, J.; Himpe, C.; Rave, S.; Saak, J.: Sustainable Research Software Hand-Over. (2019)
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Heiland, J.: Convergence of Coprime Factor Perturbations for Robust Stabilization of Oseen Systems. (2019)
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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
Mitchell, T.: Fast Interpolation-based Globality Certificates for Computing Kreiss Constants and the Distance to Uncontrollability. (2019)
Working Paper
Palitta, D.: The projected Newton-Kleinman Method for the Algebraic Riccati Equation. (2019)
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Palitta, D.: Matrix Equation Techniques for Certain Evolutionary Partial Differential Equations. (2019)
Working Paper
Palitta, D.; Kürschner, P.: On the Convergence of Krylov Methods with Low-Rank Truncations. (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
Benner, P.; Trautwein, C.: A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations. (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
Benner, P.; Liang, X.; Miodragović, S.; Truhar, N.: Relative Perturbation Theory for Quadratic Eigenvalue Problems. (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.
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