Publications of Peter Benner
All genres
Preprint (35)
2021
Preprint
Goyal, P. K. & Benner, P. (in press)Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning.
Preprint
Kweyu, C. M., Khoromskaia, V., , Stein, M., & Benner, P. (in press)Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor Format.
Preprint
Sarna, N. & Benner, P. (in press)Learning Reduced Order Models from Data for Hyperbolic PDEs.
2020
Preprint
Banagaaya, N., , Grundel, S., & Benner, P. (in press)Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations.
Preprint
Goyal, P. K., Daas, H. A., & Benner, P. (in press)Low-Rank and Total Variation Regularization and Its Application to Image Recovery.
Preprint
Weinhandl, R., Benner, P., & (in press)A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity.
2019
Preprint
Yue, Y., Feng, L., & Benner, P. (in press)An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models.
2018
Preprint
Benner, P. & (in press)Peer Methods for the Solution of Large-Scale Differential Matrix Equations.
Preprint
Benner, P., Onwunta, A., & (in press)On the Existence and Uniqueness of the Solution of a Parabolic Optimal Control Problem with Uncertain Inputs.
2017
Preprint
Behr, M., Benner, P., & Heiland, J. (in press)Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients.
Preprint
Benner, P., , Onwunta, A., & Stoll, M. (in press)Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods.
Preprint
Benner, P. & Goyal, P. K. (in press)Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems.
2016
Preprint
Du, X. & Benner, P. (in press)Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation.
Software (16)
2023
Software
Benner, P., Saak, J., & Werner, S. W. R. (2023)MORLAB-6.0 - Model Order Reduction LaboratoryZenododoi: 10.5281/zenodo.7072831.
Software
Saak, J., Köhler, M., & Benner, P. (2023)M-M.E.S.S.-3.0 – the Matrix Equations Sparse Solvers LibraryZenododoi: 10.5281/zenodo.7701424.
2022
Software
Saak, J., Köhler, M., & Benner, P. (2022)M-M.E.S.S.-2.2 – the Matrix Equations Sparse Solvers LibraryZenododoi: 10.5281/zenodo.5938237.
2021
Software
Benner, P. & Werner, S. W. R. (2021)SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm (Version 2.0)Zenododoi: 10.5281/zenodo.3997649.
Software
Benner, P. & Werner, S. W. R. (2021)SOLBT - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (Version 3.0)Zenododoi: 10.5281/zenodo.4600763.
Software
Saak, J., Köhler, M., & Benner, P. (2021)M-M.E.S.S.-2.1 – the Matrix Equations Sparse Solvers LibraryZenododoi: 10.5281/zenodo.4719688.
2020
Software
Benner, P. & Werner, S. W. R. (2020)SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm (Version 1.1)Zenododoi: 10.5281/zenodo.3332706.