Publications of Peter Benner
All genres
Journal Article (301)
2022
Journal Article
Benner, P., Goyal, P. K., Heiland, J., & Pontes Duff, I. (2022)Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible FlowsElectronic Transactions on Numerical Analysis: Special Issue SciML, 56, 28–51doi: 10.1553/etna_vol56s28.
Journal Article
Benner, P., Goyal, P. K., & Pontes Duff, I. (2022)Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic OutputsIEEE Transactions on Automatic Control, 67 (2), 886–893doi: 10.1109/TAC.2021.3086319.
Journal Article
Benner, P., Heiland, J., & Werner, S. W. R. (2022)Robust Output-Feedback Stabilization for Incompressible Flows using Low-Dimensional H∞-ControllersComputational Optimization and Applications, 82, 225–249doi: 10.1007/s10589-022-00359-x.
Journal Article
Benner, P., , , & (2022)Palindromic Linearization and Numerical Solution of Nonsymmetric Algebraic T-Riccati EquationsBIT Numerical Mathematics, 62, 1649–1672doi: 10.1007/s10543-022-00926-y.
Journal Article
Benner, P. & (2022)Convergence Analysis of Vector Extended Locally Optimal Block Preconditioned Extended Conjugate Gradient Method for Computing Extreme EigenvaluesNumerical Linear Algebra with Applications, 29 (6), e2445, 24 pagesdoi: 10.1002/nla.2445.
Journal Article
Benner, P., , & Penke, C. (2022)Stable and Efficient Computation of Generalized Polar DecompositionsSIAM Journal on Matrix Analysis and Applications (SIMAX), 43 (3), 1058–1083doi: 10.1137/21M1411986.
Journal Article
Benner, P. & Penke, C. (2022)Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline SystemsJournal of Computational and Applied Mathematics, 400, 113650, 17 pagesdoi: 10.1016/j.cam.2021.113650.
Journal Article
Benner, P., , & (2022)A Linear Implicit Euler Method for the Finite Element Discretization of a Controlled Stochastic Heat EquationIMA Journal of Numerical Analysis, 42 (3), 2118–2150doi: 10.1093/imanum/drab033.
Journal Article
Cherifi, K., Goyal, P. K., & Benner, P. (2022)A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain DataElectronic Transactions on Numerical Analysis: Special Issue SciML, 56, 102–116doi: 10.1553/etna_vol56s102.
Journal Article
, Goyal, P. K., & Benner, P. (2022)A Greedy Data Collection Scheme For Linear Dynamical SystemsData-Centric Engineering, 3, e16doi: 10.1017/dce.2022.16.
Journal Article
Daas, H. A., , & Benner, P. (2022)Parallel Algorithms for Tensor Train ArithmeticSIAM Journal on Scientific Computing, 44 (1), C25–C53doi: 10.1137/20M1387158.
Journal Article
, Chellappa, S., Feng, L., & Benner, P. (2022)Fast A Posteriori State Error Estimation for Reliable Frequency Sweeping in Microwave Circuits via the Reduced-Basis MethodIEEE Transactions on Microwave Theory and Techniques, 70 (11), 5172–5184doi: 10.1109/TMTT.2022.3203726.
Journal Article
Feng, L., Benner, P., , & (2022)Matrix-free Transfer Function Prediction using Model Reduction and Machine LearningIEEE Transactions on Microwave Theory and Techniques, 70 (12), 5392–5404doi: 10.1109/TMTT.2022.3218854.
Journal Article
Feng, L., , Benner, P., , & (2022)Model Order Reduction for Delayed PEEC Models with Guaranteed Accuracy and Observed StabilityIEEE Transactions on Circuits and Systems I: Regular Papers, 69 (10), 4177–4190doi: 10.1109/TCSI.2022.3189389.
Journal Article
Goyal, P. K. & Benner, P. (2022)Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression ApproachProceedings of the Royal Society A, 478 (2262), 20210883doi: 10.1098/rspa.2021.0883.
Journal Article
Heiland, J., Benner, P., & (2022)Convolutional Neural Networks for Very Low-dimensional LPV Approximations of Incompressible Navier-Stokes EquationsFrontiers in Applied Mathematics and Statistics, section Statistical and Computational Physics, 8, 879140doi: 10.3389/fams.2022.879140.
Journal Article
, , Feng, L., & Benner, P. (2022)Multivariate Moment-Matching for Model Order Reduction of Quadratic-Bilinear Systems using Error BoundsAdvanced Modeling and Simulation in Engineering Sciences, 9, 23doi: 10.1186/s40323-022-00236-6.
Journal Article
, , , Benner, P., & Saak, J. (2022)Compact Thermo-Mechanical Models for the Fast Simulation of Machine Tools with Nonlinear Component Behaviorat-Automatisierungstechnik, 70 (8), 692–704doi: 10.1515/auto-2022-0029.
2021
Journal Article
, Feng, L., , , & Benner, P. (2021)Model Order Reduction for Delay Systems by Iterative InterpolationInternational Journal for Numerical Methods in Engineering, 122 (3), 684–706doi: 10.1002/nme.6554.
Journal Article
, , Benner, P., Feng, L., & (2021)Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear SystemsJournal of the Franklin Institute, 358 (3), 2015–2038doi: 10.1016/j.jfranklin.2020.11.012.