Publications

102.

Journal Article

Benner, P.; Faßbender, H.; Senn, M.-N.: The Hamiltonian Extended Krylov Subspace Method. The Electronic Journal of Linear Algebra 38, pp. 572 - 606 (2022)

MPG.PuRe

103.

Journal Article

Benner, P.; Filanova, Y.; Karachalios, D.; Monem Abdelhafez, S.; Przybilla, J.; Werner, S. W. R.: Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme. Mitteilungen der Deutschen Mathematiker-Vereinigung 29 (4), pp. 198 - 204 (2022)

MPG.PuRe

104.

Journal Article

Benner, P.; Goyal, P. K.; Heiland, J.; Pontes Duff, I.: Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. Electronic Transactions on Numerical Analysis: Special Issue SciML 56, pp. 28 - 51 (2022)

MPG.PuRe

105.

Journal Article

Benner, P.; Goyal, P. K.; Pontes Duff, I.: Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs. IEEE Transactions on Automatic Control 67 (2), pp. 886 - 893 (2022)

MPG.PuRe

106.

Journal Article

Benner, P.; Heiland, J.; Werner, S. W. R.: Robust Output-Feedback Stabilization for Incompressible Flows using Low-Dimensional H_∞-Controllers. Computational Optimization and Applications 82, pp. 225 - 249 (2022)

MPG.PuRe

107.

Journal Article

Benner, P.; Iannazzo, B.; Meini, B.; Palitta, D.: Palindromic Linearization and Numerical Solution of Nonsymmetric Algebraic T-Riccati Equations. BIT Numerical Mathematics 62, pp. 1649 - 1672 (2022)

MPG.PuRe

108.

Journal Article

Benner, P.; Liang, X.: Convergence Analysis of Vector Extended Locally Optimal Block Preconditioned Extended Conjugate Gradient Method for Computing Extreme Eigenvalues. Numerical Linear Algebra with Applications 29 (6), e2445, 24 pages (2022)

MPG.PuRe

109.

Journal Article

Benner, P.; Nakatsukasa, Y.; Penke, C.: Stable and Efficient Computation of Generalized Polar Decompositions. SIAM Journal on Matrix Analysis and Applications (SIMAX) 43 (3), pp. 1058 - 1083 (2022)

MPG.PuRe

110.

Journal Article

Benner, P.; Penke, C.: Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline Systems. Journal of Computational and Applied Mathematics 400, 113650, 17 pages (2022)

MPG.PuRe

111.

Journal Article

Benner, P.; Stillfjord, T.; Trautwein, C.: A Linear Implicit Euler Method for the Finite Element Discretization of a Controlled Stochastic Heat Equation. IMA Journal of Numerical Analysis 42 (3), pp. 2118 - 2150 (2022)

MPG.PuRe

112.

Journal Article

Cherifi, K.; Goyal, P. K.; Benner, P.: A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data. Electronic Transactions on Numerical Analysis: Special Issue SciML 56, pp. 102 - 116 (2022)

MPG.PuRe

113.

Journal Article

Cherifi, K.; Goyal, P. K.; Benner, P.: A Greedy Data Collection Scheme For Linear Dynamical Systems. Data-Centric Engineering 3, e16 (2022)

MPG.PuRe

114.

Journal Article

Daas, H. A.; Ballard, G.; Benner, P.: Parallel Algorithms for Tensor Train Arithmetic. SIAM Journal on Scientific Computing 44 (1), pp. C25 - C53 (2022)

MPG.PuRe

115.

Journal Article

de la Rubia, V.; Chellappa, S.; Feng, L.; Benner, P.: 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 70 (11), pp. 5172 - 5184 (2022)

MPG.PuRe

116.

Journal Article

Erxleben, T.; Duwe, K.; Saak, J.; Köhler, M.; Kuhn, M.: Green Storage: Parallel File Systems on ARM. International Journal on Advances in Software 15 (3-4), pp. 200 - 210 (2022)

MPG.PuRe

117.

Journal Article

Feng, L.; Benner, P.; Romano, D.; Antonini, G.: Matrix-free Transfer Function Prediction using Model Reduction and Machine Learning. IEEE Transactions on Microwave Theory and Techniques 70 (12), pp. 5392 - 5404 (2022)

MPG.PuRe

118.

Journal Article

Feng, L.; Lombardi, L.; Benner, P.; Romano, D.; Antonini, G.: Model Order Reduction for Delayed PEEC Models with Guaranteed Accuracy and Observed Stability. IEEE Transactions on Circuits and Systems I: Regular Papers 69 (10), pp. 4177 - 4190 (2022)

MPG.PuRe

119.

Journal Article

Goyal, P. K.; Benner, P.: Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approach. Proceedings of the Royal Society A 478 (2262), 20210883 (2022)

MPG.PuRe

120.

Journal Article

Grundel, S.; Herty, M.: Hyperbolic Discretization of Simplified Euler Equation via Riemann Invariants. Applied Mathematical Modelling 106, pp. 60 - 72 (2022)

MPG.PuRe

121.

Journal Article

Grundel, S.; Heyder, S.; Hotz, T.; Ritschel, T. K.S.; Sauerteig, P.; Worthmann, K.: How much testing and social distancing is required to control COVID-19? Some insight based on an age-differentiated compartmental model. SIAM Journal on Control and Optimization 60 (2), pp. S145 - S169 (2022)

MPG.PuRe

122.

Journal Article

Heiland, J.: Convergence of Coprime Factor Perturbations for Robust Stabilization of Oseen Systems. Mathematical Control and Related Fields 12 (3), pp. 747 - 761 (2022)

MPG.PuRe

External

123.

Journal Article

Heiland, J.; Benner, P.; Bahmani, R.: 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 8, 879140 (2022)

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supplementary-material

124.

Journal Article

Heiland, J.; Unger, B.: Identification of linear time-invariant systems with Dynamic Mode Decomposition. mathematics 10 (3), 418 (2022)

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125.

Journal Article

Hund, M.; Mitchell, T.; Mlinarić, P.; Saak, J.: Optimization-Based Parametric Model Order Reduction via H₂ ⊗ L₂ First-Order Necessary Conditions. SIAM Journal on Scientific Computing 44 (3), pp. A1554 - A1578 (2022)

MPG.PuRe

126.

Journal Article

Jothimani, K.; Ravichandran, C.; Kumar, V.; Djemai, M.; Nisar, K. S.: Interpretation of Trajectory Control and Optimization for the Nondense Fractional System. International Journal of Applied and Computational Mathematics 8 (6), 273 (2022)

MPG.PuRe

127.

Journal Article

Kalosha, J.; Zuyev, A.: Asymptotic Stabilization of a Flexible Beam with an Attached Mass. Ukrainian Mathematical Journal 73 (10), pp. 1537 - 1550 (2022)

MPG.PuRe

128.

Journal Article

Khattak, M. A.; Ahmad, M. I.; Feng, L.; Benner, P.: Multivariate Moment-Matching for Model Order Reduction of Quadratic-Bilinear Systems using Error Bounds. Advanced Modeling and Simulation in Engineering Sciences 9, 23 (2022)

MPG.PuRe

129.

Journal Article

Kumar, V.; Debbouche, A.; Nieto, J. J.: Existence, Stability and Controllability Results for a Class of Switched Evolution System with Impulses over Arbitrary Time Domain. Computational and Applied Mathematics 41 (8), 399 (2022)

MPG.PuRe

130.

Journal Article

Kumar, V.; Kostić, M.; Tridane, A.; Debbouche, A.: Controllability of Switched Hilfer Neutral Fractional Dynamic Systems with Impulses. IMA Journal of Mathematical Control and Information 39 (3), pp. 807 - 836 (2022)

MPG.PuRe

131.

Journal Article

Kumar, V.; Malik, M.; Baleanu, D.: Results on Hilfer Fractional Switched Dynamical System with Non-Instantaneous Impulses. Pramana: Journal of Physics 96 (4), 172 (2022)

MPG.PuRe

132.

Journal Article

Misra, R.; Wisniewski, R.; Zuyev, A.: Attitude Stabilization of a Satellite Having Only Electromagnetic Actuation Using Oscillating Controls. Aerospace 9 (8), 444 (2022)

MPG.PuRe

133.

Journal Article

Mitchell, T.; Overton, M. L.: On Properties of Univariate Max Functions at Local Maximizers. Optimization Letters 16, pp. 2527 - 2541 (2022)

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134.

Journal Article

Palitta, D.; Lefteriu, S.: An Efficient, Memory-Saving Approach for the Loewner Framework. Journal of Scientific Computing 91, 31 (2022)

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135.

Journal Article

Palitta, D.; Pozza, S.; Simoncini, V.: The Short-term Rational Lanczos Method and Applications. SIAM Journal on Scientific Computing 44 (4), pp. A2843 - A2870 (2022)

MPG.PuRe

136.

Journal Article

Redmann, M.; Pontes Duff, I.: Full State Approximation by Galerkin Projection Reduced Order Models for Stochastic and Bilinear Systems. Applied Mathematics and Computation 420, 126561 (2022)

MPG.PuRe

137.

Journal Article

Vettermann, J.; Steinert, A.; Brecher, C.; Benner, P.; Saak, J.: Compact Thermo-Mechanical Models for the Fast Simulation of Machine Tools with Nonlinear Component Behavior. at-Automatisierungstechnik 70 (8), pp. 692 - 704 (2022)

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138.

Journal Article

Alfke, D.; Feng, L.; Lombardi, L.; Antonini, G.; Benner, P.: Model Order Reduction for Delay Systems by Iterative Interpolation. International Journal for Numerical Methods in Engineering 122 (3), pp. 684 - 706 (2021)

MPG.PuRe

139.

Journal Article

Asif, M. M. A.; Ahmad, M. I.; Benner, P.; Feng, L.; Stykel, T.: Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems. Journal of the Franklin Institute 358 (3), pp. 2015 - 2038 (2021)

MPG.PuRe

140.

Journal Article

Behr, M.; Benner, P.; Heiland, J.: Galerkin Trial Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Applied Mathematics and Computation 410, 126401, 28 pages (2021)

MPG.PuRe

141.

Journal Article

Benner, P.; Dufrechou, E.; Ezzatti, P.; Gallardo, R.; Quintana-Ortí, E.: Factorized Solution of Generalized Stable Sylvester Equations Using Many-Core GPU Accelerators. Journal of Supercomputing 77, pp. 10152 - 10164 (2021)

MPG.PuRe

142.

Journal Article

Benner, P.; Fassbender, H.; Saltenberger, P.: A Rational Even-IRA Algorithm for the Solution of T-even Polynomial Eigenvalue Problems. SIAM Journal on Matrix Analysis and Applications 42 (3), pp. 1172 - 1198 (2021)

MPG.PuRe

143.

Journal Article

Benner, P.; Goyal, P. K.: Interpolation-Based Model Order Reduction for Polynomial Systems. SIAM Journal on Scientific Computing 43 (1), pp. A84 - A108 (2021)

MPG.PuRe

144.

Journal Article

Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation of Bilinear Control Systems. Advances in Computational Mathematics 47 (3), 43, 38 pages (2021)

MPG.PuRe

145.

Journal Article

Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems. Automatica 132, 109799, 9 pages (2021)

MPG.PuRe

146.

Journal Article

Benner, P.; Khoromskaia, V.; Khoromskij, B.; Kweyu, C. M.; Stein, M.: Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. SIAM Journal on Scientific Computing 43 (1), pp. A415 - A445 (2021)

MPG.PuRe

147.

Journal Article

Benner, P.; Liang, X.; Miodragović, S.; Truhar, N.: Relative Perturbation Theory for Quadratic Hermitian Eigenvalue Problems. Linear Algebra and its Applications 618, pp. 97 - 128 (2021)

MPG.PuRe

148.

Journal Article

Benner, P.; Palitta, D.: On the Solution of the Nonsymmetric T-Riccati Equation. Electronic Transactions on Numerical Analysis 54, pp. 68 - 88 (2021)

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149.

Journal Article

Benner, P.; Trautwein, C.: A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations. Applied Mathematics and Optimization 84, pp. 1001 - 1054 (2021)

MPG.PuRe

150.

Journal Article

Benner, P.; Werner, S. W. R.: Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems. Linear Algebra and its Applications 623, pp. 68 - 103 (2021)

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