Publications of Peter Benner
All genres
Preprint (35)
2021
Preprint
Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. (2021)
Preprint
Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor Format. (2021)
Preprint
Learning Reduced Order Models from Data for Hyperbolic PDEs. (2021)
2020
Preprint
Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations. (2020)
Preprint
Low-Rank and Total Variation Regularization and Its Application to Image Recovery. (2020)
Preprint
A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity. (2020)
2019
Preprint
An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models. (2019)
2018
Preprint
Peer Methods for the Solution of Large-Scale Differential Matrix Equations. (2018)
Preprint
On the Existence and Uniqueness of the Solution of a Parabolic Optimal Control Problem with Uncertain Inputs. (2018)
2017
Preprint
Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients. (2017)
Preprint
Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods. (2017)
Preprint
Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems. (2017)
2016
Preprint
Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. (2016)
Software (16)
2023
Software
MORLAB-6.0 - Model Order Reduction Laboratory. (2023)
Software
M-M.E.S.S.-3.0 – the Matrix Equations Sparse Solvers Library. (2023)
2022
Software
M-M.E.S.S.-2.2 – the Matrix Equations Sparse Solvers Library. (2022)
2021
Software
SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm (Version 2.0). (2021)
Software
SOLBT - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 3.0). (2021)
Software
M-M.E.S.S.-2.1 – the Matrix Equations Sparse Solvers Library. (2021)
2020
Software
SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm (Version 1.1). (2020)