Working Paper (51)

2021
Working Paper
Khattak, M. A.; Ahmad, M. I.; Feng, L.; Benner, P.: Multivariate Moment Matching for Model Order Reduction of Quadratic-Bilinear Systems using Error Bounds. (2021)
Working Paper
Kweyu, C. M.; Feng, L.; Stein, M.; Benner, P.: Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation regularized by the Range-Separated Canonical Tensor Format. (2021)
Working Paper
Palitta, D.; Lefteriu, S.: An Efficient, Memory-Saving Approach for the Loewner Framework. (2021)
Working Paper
Palitta, D.; Pozza, S.; Simoncini, V.: The Short-term Rational Lanczos Method and Applications. (2021)
Working Paper
Redmann, M.; Pontes Duff, I.: Full State Approximation by Galerkin Projection Reduced Order Models for Stochastic and Bilinear Systems. submitted to the Journal of Differential Equations (2021)
Working Paper
Redmann, M.; Pontes Duff, I.: Model Order Reduction for Bilinear Systems with Non-Zero Initial States - different Approaches with Error Bounds. (2021)
Working Paper
Sarna, N.; Benner, P.: Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities. (2021)
Working Paper
Zhang, Q.; Gosea, I. V.; Antoulas, A. C.: Factorization of the Loewner matrix pencil and its consequences. (2021)
2020
Working Paper
Alla, A.; Gräßle, C.; Hinze, M.: Time Adaptivity in Model Predictive Control. (2020)
Working Paper
Banagaaya, N.; Ali, G.; Grundel, S.; Benner, P.: Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations. (2020)
Working Paper
Beddig, R. S.; Benner, P.; Dorschky, I.; Reis, T.; Schwerdtner, P.; Voigt, M.; Werner, S. W. R.: Structure-Preserving Model Reduction for Dissipative Mechanical Systems. (2020)
Working Paper
Benner, P.; Heiland, J.: Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification. (2020)
Working Paper
Benner, P.; Liang, X.: Convergence Analysis of Extended LOBPCG for Computing Extreme Eigenvalues. (2020)
Working Paper
Cherifi, K.; Goyal, P. K.; Benner, P.: A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data. (2020)
Working Paper
Daas, H. A.; Ballard, G.; Benner, P.: Parallel Algorithms for Tensor Train Arithmetic. (2020)
Working Paper
Gosea, I. V.; Güttel, S.: Algorithms for the Rational Approximation of Matrix-Valued Functions. (2020)
Working Paper
Grundel, S.; Herty, M.: Hyperbolic Discretization via Riemann Invariants. (2020)
Working Paper
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. (2020)
Working Paper
Heiland, J.; Zuazua, E.: Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems. (2020)
Working Paper
Himpe, C.: Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms. (2020)
Working Paper
Kour, K.; Dolgov, S.; Stoll, M.; Benner, P.: Efficient Structure-preserving Support Tensor Train Machine. (2020)
Working Paper
Sarna, N.; Giesselmann, J.; Benner, P.: Data-Driven Snapshot Calibration via Monotonic Feature Matching. (2020)
Working Paper
Sarna, N.; Grundel, S.: Model Reduction of Time-Dependent Hyperbolic Equations using Collocated Residual Minimisation and Shifted Snapshots. submitted to SISC (2020)
Working Paper
Weinhandl, R.; Benner, P.; Richter, T.: A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity. (2020)
2019
Working Paper
Benner, P.; Goyal, P. K.; Pontes Duff, I.: Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction. (2019)
Working Paper
Khodkar, M. A.; Hassanzadeh, P.; Antoulas, A. C.: A Koopman-based Framework for Forecasting the Spatiotemporal Evolution of Chaotic Dynamics with Nonlinearities Modeled as Exogenous Forcings. (2019)
Working Paper
Yue, Y.; Feng, L.; Benner, P.: An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models. (2019)
2018
Working Paper
Khodkar, M. A.; Antoulas, A. C.; Hassanzadeh, P.: Data-driven Spatio-temporal Prediction of High-dimensional Geophysical Turbulence using Koopman Operator Approximation. (2018)
Working Paper
Kungurtsev, V.; Mitchell, T.; Vyhlidal, T.: A Comparison of Nonsmooth, Nonconvex, Constrained Optimization Solvers for the Design of Time-Delay Compensators. (2018)
Working Paper
Kürschner, P.: Residual Minimizing Shift Parameters for the Low-Rank ADI Iteration. (2018)
2017
Working Paper
Behr, M.; Benner, P.; Heiland, J.: Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients. (2017)
Working Paper
Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods. (2017)
Working Paper
Benner, P.; Goyal, P. K.: Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems. (2017)
Working Paper
Gosea, I. V.; Antoulas, A. C.: Approximation of a damped Euler-Bernoulli beam model in the Loewner framework. (2017)
Working Paper
Karachalios, D.; Gosea, I. V.; Zhang, Q.; Antoulas, A. C.: Case study: Approximations of the Bessel Function. (2017)
2016
Working Paper
Du, X.; Benner, P.: Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. (2016)
Working Paper
Kuehn, C.; Kürschner, P.: Combined Error Estimates for Local Fluctuations of SPDEs. (2016)

Report (1)

2014
Report
Benner, P.; Mena, H.; Schneider, R.: Drugs, Herbicides, and Numerical Simulation (Snapshots of modern mathematics from Oberwolfach, 10). (2014), 9 pp.

Editorial (4)

2021
Editorial
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M.: Preface to the third Volume of Model Order Reduction. Model Order Reduction, pp. V - VI (2021)
Editorial
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M.: Preface to the second Volume of Model Order Reduction. Model Order Reduction, pp. V - VI (2021)
Editorial
Benner, P.; Quintana-Ortì, E.; Saak, J.: Introduction to the Special Issue related to the Power Aware Computing Workshop 2019 — PACO 2019. International Journal of High Performance Computing Applications 35 (3), pp. 209 - 210 (2021)
2020
Editorial
Vidaković-Koch, T.: Editorial on Special Issue Electrolysis Processes. Processes 8 (5), 578, p. 578 (2020)
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