Preprint (57)

2023
Preprint
Kour, K.; Dolgov, S.; Benner, P.; Stoll, M.; Pfeffer, M.: A Weighted Subspace Exponential Kernel for Support Tensor Machines. (2023)
Preprint
Lund, K.; Palitta, D.: Low-rank-modified Galerkin Methods for the Lyapunov Equation. (2023)
Preprint
Mlinarić, P.; Benner, P.; Gugercin, S.: Interpolatory H2-Optimality Conditions for Structured Linear Time-invariant Systems. (2023)
Preprint
Palitta, D.; Tomljanović, Z.; Nakić, I.; Saak, J.: Efficient Solution of Sequences of Parametrized Lyapunov Equations with Applications. (2023)
Preprint
Reiter, S.; Gosea, I. V.; Gugercin, S.: Generalizations of Data-Driven Balancing: What to Sample for Different Balancing-Based Reduced Models. (2023)
Preprint
Savchenko, M. O.; Skrypnik, I. I.; Yevgenieva, Y.: A Note on the Weak Harnack Inequality for Unbounded Minimizers of Elliptic Functionals with Generalized Orlicz Growth. (2023)
Preprint
Sun, S.; Feng, L.; Chan, H. S.; Miličić, T.; Vidaković-Koch, T.; Benner, P.: Parametric Dynamic Mode Decomposition for Nonlinear Parametric Dynamical Systems. (2023)
Preprint
Yildiz, S.; Goyal, P. K.; Bendokat, T.; Benner, P.: Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems. (2023)
Preprint
Yildiz, S.; Goyal, P. K.; Benner, P.: Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems. (2023)
Preprint
Yongho, K.; Heiland, J.: Convolutional Autoencoders, Clustering and POD for Low-dimensional Parametrization of Navier-Stokes Equations. (2023)
Preprint
Zhang, J.; Heiland, J.; Benner, P.; Du, X.: Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems. (2023)
Preprint
Zuyev, A.; Benner, P.: Iterative Approximations of Periodic Trajectories for Nonlinear Systems with Discontinuous Inputs. (2023)
2022
Preprint
Baran, B.; Benner, P.; Saak, J.: Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem. (2022)
Preprint
Liang, B.; Mitchell, T.; Sun, J.: NCVX: A User-Friendly and Scalable Package for Nonconvex Optimization in Machine Learning. (2022)
2021
Preprint
Goyal, P. K.; Benner, P.: LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. (2021)
Preprint
Goyal, P. K.; Benner, P.: Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint. (2021)
Preprint
Goyal, P. K.; Benner, P.: Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. (2021)
Preprint
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)
Preprint
Przybilla, J.; Voigt, M.: Model Reduction of Parametric Differential-Algebraic Systems by Balanced Truncation. (2021)
Preprint
Sarna, N.; Benner, P.: Learning Reduced Order Models from Data for Hyperbolic PDEs. (2021)
2020
Preprint
Banagaaya, N.; Ali, G.; Grundel, S.; Benner, P.: Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations. (2020)
Preprint
Goyal, P. K.; Daas, H. A.; Benner, P.: Low-Rank and Total Variation Regularization and Its Application to Image Recovery. (2020)
Preprint
Grundel, S.; Herty, M.: Hyperbolic Discretization via Riemann Invariants. (2020)
Preprint
Sarna, N.; Grundel, S.: Model Reduction of Time-Dependent Hyperbolic Equations using Collocated Residual Minimisation and Shifted Snapshots. (2020)
Preprint
Weinhandl, R.; Benner, P.; Richter, T.: A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity. (2020)
2019
Preprint
Palitta, D.: The projected Newton-Kleinman Method for the Algebraic Riccati Equation. (2019)
Preprint
Yue, Y.; Feng, L.; Benner, P.: An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models. (2019)
2018
Preprint
Benner, P.; Lang, N.: Peer Methods for the Solution of Large-Scale Differential Matrix Equations. (2018)
Preprint
Benner, P.; Onwunta, A.; Stoll, M.: On the Existence and Uniqueness of the Solution of a Parabolic Optimal Control Problem with Uncertain Inputs. (2018)
Preprint
Kungurtsev, V.; Mitchell, T.; Vyhlidal, T.: A Comparison of Nonsmooth, Nonconvex, Constrained Optimization Solvers for the Design of Time-Delay Compensators. (2018)
Preprint
Kürschner, P.: Residual Minimizing Shift Parameters for the Low-Rank ADI Iteration. (2018)
Preprint
Kürschner, P.; Freitag, M. A.: Inexact Methods for the Low Rank Solution to Large Scale Lyapunov Equations. (2018)
2017
Preprint
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)
Preprint
Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods. (2017)
Preprint
Benner, P.; Goyal, P. K.: Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems. (2017)
2016
Preprint
Du, X.; Benner, P.: Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. (2016)
Preprint
Kuehn, C.; Kürschner, P.: Combined Error Estimates for Local Fluctuations of SPDEs. (2016)

Software (17)

2023
Software
Benner, P.; Saak, J.; Werner, S. W. R.: MORLAB-6.0 - Model Order Reduction Laboratory. (2023)
Software
Saak, J.; Köhler, M.; Benner, P.: M-M.E.S.S.-3.0 – the Matrix Equations Sparse Solvers Library. (2023)
2022
Software
Saak, J.; Köhler, M.; Benner, P.: M-M.E.S.S.-2.2 – the Matrix Equations Sparse Solvers Library. (2022)
2021
Software
Benner, P.; Werner, S. W. R.: SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm (Version 2.0). (2021)
Software
Benner, P.; Werner, S. W. R.: SOLBT - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 3.0). (2021)
Software
Saak, J.; Köhler, M.; Benner, P.: M-M.E.S.S.-2.1 – the Matrix Equations Sparse Solvers Library. (2021)
2020
Software
Benner, P.; Werner, S. W. R.: SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm (Version 1.1). (2020)
Software
Benner, P.; Werner, S. W. R.: Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 2.0). (2020)
Software
Saak, J.; Köhler, M.; Benner, P.: M-M.E.S.S.-2.0.1 – the Matrix Equations Sparse Solvers Library. (2020)
2019
Software
Benner, P.; Werner, S. W. R.: Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 1.0). (2019)
Software
Benner, P.; Werner, S. W. R.: SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm (Version 1.0). (2019)
Software
Benner, P.; Werner, S. W. R.: MORLAB-5.0 - Model Order Reduction Laboratory. (2019)
Software
Saak, J.; Köhler, M.; Benner, P.: M-M.E.S.S.-2.0 – the Matrix Equations Sparse Solvers Library. (2019)
Go to Editor View