Publications CSC group

Thesis - PhD

Weichelt, H. K.: Numerical Aspects of Flow Stabilization by Riccati Feedback. Dissertation, Otto-von-Guericke Universität, Magdeburg (2016)

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Thesis - PhD

Zhang, Y.: Model Order Reduction for Parameterized Nonlinear Evolution Equations. Dissertation, Otto-von-Guericke Universität, Magdeburg (2016)

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2015

Thesis - PhD

Bruns, A. S.: Bilinear H₂-optimal Model Order Reduction with applications to thermal parametric systems. Dissertation, Otto-von-Guericke Universität, Magdeburg (2015)

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Thesis - PhD

Uddin, M. M.: Computational Methods for Model Reduction of Large-Scale Sparse Structured Descriptor Systems. Dissertation, Otto-von-Guericke Universität, Magdeburg (2015)

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Thesis - PhD

Voigt, M.: On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems. Dissertation, Logos, Berlin (2015)

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2013

Thesis - PhD

Breiten, T.: Interpolatory Methods for Model Reduction of Large-Scale Dynamical Systems. Dissertation, Otto-von-Guericke Universität, Magdeburg (2013)

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2012

Thesis - PhD

Mach, T.: Eigenvalue Algorithms for Symmetric Hierarchical Matrices. Dissertation, Technische Universität, Chemnitz (2012)

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Working Paper (47)

2020

Working Paper

Alla, A.; Gräßle, C.; Hinze, M.: Time Adaptivity in Model Predictive Control. (2020)

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Working Paper

Banagaaya, N.; Ali, G.; Grundel, S.; Benner, P.: Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations. (2020)

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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)

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Working Paper

Benner, P.; Goyal, P. K.; Heiland, J.; Pontes Duff, I.: Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. (2020)

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Working Paper

Benner, P.; Fassbender, H.; Saltenberger, P.: A Rational Even-IRA Algorithm for the Solution of T-even Polynomial Eigenvalue Problems. (2020)

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Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation of Bilinear Control Systems. (2020)

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Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems. (2020)

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Benner, P.; Heiland, J.: Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification. (2020)

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Benner, P.; Liang, X.: Convergence Analysis of Extended LOBPCG for Computing Extreme Eigenvalues. (2020)

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Benner, P.; Penke, C.: Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline Systems. (2020)

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Benner, P.; Stillfjord, T.; Trautwein, C.: A Linear Implicit Euler Method for the Finite Element Discretization of a Controlled Stochastic Heat Equation. (2020)

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Working Paper

Cherifi, K.; Goyal, P. K.; Benner, P.: A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data. (2020)

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Working Paper

Daas, H. A.; Ballard, G.; Benner, P.: Parallel Algorithms for Tensor Train Arithmetic. (2020)

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Goyal, P. K.; Daas, H. A.; Benner, P.: Low-Rank and Total Variation Regularization and Its Application to Image Recovery. (2020)

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Grundel, S.; Herty, M.: Hyperbolic Discretization via Riemann Invariants. (2020)

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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)

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Working Paper

Heiland, J.; Zuazua, E.: Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems. (2020)

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Himpe, C.; Grundel, S.; Benner, P.: Model Order Reduction for Gas and Energy Networks. (2020)

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Himpe, C.: Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms. (2020)

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Working Paper

Kour, K.; Dolgov, S.; Stoll, M.; Benner, P.: Efficient Structure-preserving Support Tensor Train Machine. (2020)

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Mitchell, T.: Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation. (2020)

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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)

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Working Paper

Sarna, N.; Giesselmann, J.; Benner, P.: Data-Driven Snapshot Calibration via Monotonic Feature Matching. (2020)

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Working Paper

Sarna, N.; Grundel, S.: Model Reduction of Time-Dependent Hyperbolic Equations using Collocated Residual Minimisation and Shifted Snapshots. submitted to SISC (2020)

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Working Paper

Weinhandl, R.; Benner, P.; Richter, T.: A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity. (2020)

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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)

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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)

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Working Paper

Benner, P.; Goyal, P. K.; Pontes Duff, I.: Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs. (2019)

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Benner, P.; Goyal, P. K.; Pontes Duff, I.: Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction. (2019)

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Fehr, J.; Himpe, C.; Rave, S.; Saak, J.: Sustainable Research Software Hand-Over. (2019)

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Working Paper

Heiland, J.: Convergence of Coprime Factor Perturbations for Robust Stabilization of Oseen Systems. (2019)

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External

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)

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Palitta, D.; Kürschner, P.: On the Convergence of Krylov Methods with Low-Rank Truncations. (2019)

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Working Paper

Yue, Y.; Feng, L.; Benner, P.: An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models. (2019)

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2018

Working Paper

Benner, P.; Lang, N.: Peer Methods for the Solution of Large-Scale Differential Matrix Equations. (2018)

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Benner, P.; Onwunta, A.; Stoll, M.: On the Existence and Uniqueness of the Solution of a Parabolic Optimal Control Problem with Uncertain Inputs. (2018)

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Benner, P.; Trautwein, C.: A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations. (2018)

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Working Paper

Kungurtsev, V.; Mitchell, T.; Vyhlidal, T.: A Comparison of Nonsmooth, Nonconvex, Constrained Optimization Solvers for the Design of Time-Delay Compensators. (2018)

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Kürschner, P.: Residual Minimizing Shift Parameters for the Low-Rank ADI Iteration. (2018)

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Kürschner, P.; Freitag, M. A.: Inexact Methods for the Low Rank Solution to Large Scale Lyapunov Equations. (2018)

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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)

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