Publications of Peter Benner
All genres
Journal Article (262)
2022
Journal Article
29 (4), pp. 198 - 204 (2022)
Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme. Mitteilungen der Deutschen Mathematiker-Vereinigung
Journal Article
56, pp. 28 - 51 (2022)
Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. Electronic Transactions on Numerical Analysis: Special Issue SciML
Journal Article
67 (2), pp. 886 - 893 (2022)
Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs. IEEE Transactions on Automatic Control
Journal Article
82, pp. 225–249 - 249 (2022)
Robust Output-Feedback Stabilization for Incompressible Flows using Low-Dimensional H∞-Controllers. Computational Optimization and Applications
Journal Article
A Low-Rank Solution Method for Riccati Equations with Indefinite Quadratic Terms. Numerical Algorithms (2022)
Journal Article
Palindromic Linearization and Numerical Solution of Nonsymmetric Algebraic T-Riccati Equations. BIT Numerical Mathematics (2022)
Journal Article
Convergence Analysis of Vector Extended Locally Optimal Block Preconditioned Extended Conjugate Gradient Method for Computing Extreme Eigenvalues. Numerical Linear Algebra with Applications, e2445, 24 pages (2022)
Journal Article
Stable and Efficient Computation of Generalized Polar Decompositions. SIAM Journal on Matrix Analysis and Applications (SIMAX) (accepted)
Journal Article
400, 113650 (2022)
Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline Systems. Journal of Computational and Applied Mathematics
Journal Article
56, pp. 102 - 116 (2022)
A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data. Electronic Transactions on Numerical Analysis: Special Issue SciML
Journal Article
3, e16 (2022)
A Greedy Data Collection Scheme For Linear Dynamical Systems. Data-Centric Engineering
Journal Article
44 (1), pp. C25 - C53 (2022)
Parallel Algorithms for Tensor Train Arithmetic. SIAM Journal on Scientific Computing
Journal Article
Fast A Posteriori State Error Estimation for Reliable Frequency Sweeping in Microwave Circuits via the Reduced-Basis Method. IEEE Transactions on Microwave Theory and Techniques (accepted)
Journal Article
Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approach. Proceedings of the Royal Society A (2022)
Journal Article
8, 879140 (2022)
Convolutional Neural Networks for Very Low-dimensional LPV Approximations of Incompressible Navier-Stokes Equations. Frontiers in Applied Mathematics and Statistics, section Statistical and Computational Physics
Journal Article
Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation regularized by the Range-Separated Canonical Tensor Format. International Journal of Nonlinear Sciences and Numerical Simulation (2022)
2021
Journal Article
122 (3), pp. 684 - 706 (2021)
Model Order Reduction for Delay Systems by Iterative Interpolation. International Journal for Numerical Methods in Engineering
Journal Article
358 (3), pp. 2015 - 2038 (2021)
Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems. Journal of the Franklin Institute
Journal Article
Index-Aware Model-Order Reduction for a Special Class of Nonlinear Differential-Algebraic Equations. Journal of Dynamics and Differential Equations (2021)
Journal Article
410, 126401, 28 pages (2021)
Galerkin Trial Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Applied Mathematics and Computation