Thesis - PhD (22)

2016
Thesis - PhD
Redmann, M.: Balancing Related Model Order Reduction Applied to Linear Controlled Evolution Equations with Lévy Noise. Dissertation, Otto-von-Guericke Universität, Magdeburg (2016)
Thesis - PhD
Weichelt, H. K.: Numerical Aspects of Flow Stabilization by Riccati Feedback. Dissertation, Otto-von-Guericke Universität, Magdeburg (2016)
Thesis - PhD
Zhang, Y.: Model Order Reduction for Parameterized Nonlinear Evolution Equations. Dissertation, Otto-von-Guericke Universität, Magdeburg (2016)
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)
Thesis - PhD
Uddin, M. M.: Computational Methods for Model Reduction of Large-Scale Sparse Structured Descriptor Systems. Dissertation, Otto-von-Guericke Universität, Magdeburg (2015)
Thesis - PhD
Voigt, M.: On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems. Dissertation, Logos, Berlin (2015)
2013
Thesis - PhD
Breiten, T.: Interpolatory Methods for Model Reduction of Large-Scale Dynamical Systems. Dissertation, Otto-von-Guericke Universität, Magdeburg (2013)
2012
Thesis - PhD
Mach, T.: Eigenvalue Algorithms for Symmetric Hierarchical Matrices. Dissertation, Technische Universität, Chemnitz (2012)

Working Paper (48)

2022
Working Paper
Baran, B.; Benner, P.; Saak, J.: Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem. (2022)
Working Paper
Benner, P.; Chuiko, S.; Zuyev, A.: A Periodic Boundary Value Problem with Switchings under Nonlinear Perturbations. (2022)
Working Paper
Benner, P.; Goyal, P. K.; Heiland, J.; Pontes Duff, I.: A Quadratic Decoder Approach to Nonintrusive Reduced-Order Modeling of Nonlinear Dynamical Systems. (2022)
Working Paper
Benner, P.; Gugercin, S.; Werner, S. W. R.: A Unifying Framework for Tangential Interpolation of Structured Bilinear Control Systems. (2022)
Working Paper
Benner, P.; Nakatsukasa, Y.; Penke, C.: A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices. (2022)
Working Paper
Boege, T.; Fritze, R.; Görgen, C.; Hanselman, J.; Iglezakis, D.; Kastner, L.; Koprucki, T.; Krause, T.; Lehrenfeld, C.; Polla, S. et al.; Reidelbach, M.; Riedel, C.; Saak, J.; Schembera, B.; Tabelow, K.; Weber, M.: Research-Data Management Planning in the German Mathematical Community. (2022)
Working Paper
Filanova, Y.; Pontes Duff, I.; Goyal, P. K.; Benner, P.: An Operator Inference Oriented Approach for Mechanical Systems. (2022)
Working Paper
Goyal, P. K.; Benner, P.: Neural ODEs with Irregular and Noisy Data. (2022)
Working Paper
Goyal, P. K.; Benner, P.: Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning. (2022)
Working Paper
Karachalios, D.; Gosea, I. V.; Kour, K.; Antoulas, A. C.: Bilinear realization from input-output data with neural networks. (2022)
Working Paper
Khorrami, M. S.; Mianroodi, J. R.; Siboni, N. H.; Goyal, P. K.; Svendsen, B.; Benner, P.; Raabe, D.: An Artificial Neural Network for Surrogate Modeling of Stress Fields in Viscoplastic Polycrystalline Materials. (2022)
Working Paper
Kumar, V.; Heiland, J.; Benner, P.: Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales. (2022)
Working Paper
Liang, B.; Mitchell, T.; Sun, J.: NCVX: A User-Friendly and Scalable Package for Nonconvex Optimization in Machine Learning. (2022)
Working Paper
Lund, K.: Adaptively Restarted Block Krylov Subspace Methods with Low-Synchronization Skeletons. (2022)
Working Paper
Przybilla, J.; Pontes Duff, I.; Benner, P.: Model Reduction for Second-Order Systems with Inhomogeneous Initial Conditions. (2022)
Working Paper
Savchenko, M. O.; Skrypnik, I. I.; Yevgenieva, Y.: Continuity and Harnack Inequalities for Local Minimizers of Non Uniformly Elliptic Functionals with Generalized Orlicz Growth under the Non-logarithmic Conditions. (2022)
Working Paper
Skrypnik, I.; Yevgenieva, Y.: Harnack Inequality for Solutions of the p(x)-Laplace Equation under the precise Non-Logarithmic Zhikov's Conditions. (2022)
2021
Working Paper
Chellappa, S.; Feng, L.; de la Rubia, V.; Benner, P.: Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of Parametric Systems in Electromagnetics. (2021)
Working Paper
Goyal, P. K.; Benner, P.: LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. (2021)
Working Paper
Goyal, P. K.; Benner, P.: Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint. The Symbiosis of Deep Learning and Differential Equations Workshop at NeurIPS 2021, 9 pages (2021)
Working Paper
Goyal, P. K.; Benner, P.: Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. (2021)
Working Paper
Jakovcevic Stor, N.; Mitchell, T.; Tomljanovic, Z.; Ugrica, M.: Fast optimization of viscosities for frequency-weighted damping of second-order systems. (2021)
Working Paper
Kweyu, C. M.; Khoromskaia, V.; Khoromskij, B.; Stein, M.; Benner, P.: Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor Format. (2021)
Working Paper
Mitchell, T.; Van Dooren, P.: Root-max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems. submitted to SINUM (2021)
Working Paper
Przybilla, J.; Voigt, M.: Model Reduction of Parametric Differential-Algebraic Systems by Balanced Truncation. (2021)
Working Paper
Sarna, N.; Benner, P.: Learning Reduced Order Models from Data for Hyperbolic PDEs. (2021)
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
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
Kour, K.; Dolgov, S.; Stoll, M.; Benner, P.: Efficient Structure-preserving Support Tensor Train Machine. (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
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
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)
Go to Editor View