Publications CSC group

Journal Article (350)

2024
Journal Article
Benner, P.; Chuiko, S.; Zuyev, A.: Iterative Schemes for Periodic Boundary Value Problems with Switchings. Journal of Mathematical Sciences 278 (6), pp. 932 - 949 (2024)
Journal Article
Benner, P.; Goyal, P. K.; Van Dooren, P.: Parameterized Interpolation of Passive Systems. SIAM journal on Matrix Analysis and Applications (accepted)
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Benner, P.; Gugercin, S.; Werner, S. W. R.: Structured Interpolation for Multivariate Transfer Functions of Quadratic-Bilinear Systems. Advances in Computational Mathematics 50, 18 (2024)
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Boichuk, O.; Chuiko, S.; Diachenko, D.: Adomian’s Decomposition Method in the Theory of Nonlinear Autonomous Boundary-Value Problems. Ukrainian Mathematical Journal 75, pp. 1203 - 1218 (2024)
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Chellappa, S.; Feng, L.; Benner, P.: Accurate Error Estimation for Model Reduction of Nonlinear Dynamical Systems via Data-enhanced Error Closure. Computer Methods in Applied Mechanics and Engineering 420, 116712 (2024)
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Chuiko, S.; Nesmelova, O. V.: On the Reduction of an Autonomous Nonlinear Boundary Value Problem Unsolved with Respect to the Derivative to the First-Order Critical Case. Journal of Mathematical Sciences 279, pp. 1 - 24 (2024)
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Feng, L.; Chellappa, S.; Benner, P.: A Posteriori Error Estimation for Model Order Reduction of Parametric Systems. Advanced Modeling and Simulation in Engineering Sciences 11, 5 (2024)
Journal Article
Gkimisis, L.; Richter, T.; Benner, P.: Adjacency-based, Non-Intrusive Model Reduction for Vortex-Induced Vibrations. Computers & Fluids (accepted)
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Goyal, P. K.; Peherstorfer, B.; Benner, P.: Rank-Minimizing and Structured Model Inference. SIAM Journal on Scientific Computing (accepted)
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Grundel, S.; Sarna, N.: Hyper-Reduction for Parametrized Transport Dominated Problems via Adaptive Reduced Meshes. Partial Differential Equations and Applications 5 (1), 3 (2024)
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Kapadia, H.; Feng, L.; Benner, P.: Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems. Computer Methods in Applied Mechanics and Engineering 419, 116657 (2024)
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Liljegren-Sailer, B.; Gosea, I. V.: Data-Driven and Low-Rank Implementations of Balanced Singular Perturbation Approximation. SIAM Journal on Scientific Computing 46 (1), pp. A483 - A507 (2024)
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Przybilla, J.; Pontes Duff, I.; Benner, P.: Model Reduction for Second-Order Systems with Inhomogeneous Initial Conditions. Systems & Control Letters 183, 105671 (2024)
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Sarna, N.; Giesselmann, J.; Benner, P.: Data-Driven Snapshot Calibration via Monotonic Feature Matching. Finite Elements in Analysis & Design 230, 104065 (2024)
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Skrypnik, I.; Yevgenieva, Y.: Harnack Inequality for Solutions of the p(x)-Laplace Equation under the precise Non-Logarithmic Zhikov's Conditions. Calculus of variations and partial differential equations 63 (1), 7 (2024)
2023
Journal Article
Aumann, Q.; Gosea, I. V.: Practical Challenges in Data-Driven Interpolation: Dealing with Noise, enforcing Stability, and Computing Realizations. International Journal of Adaptive Control and Signal Processing (2023)
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Aumann, Q.; Werner, S. W. R.: Structured Model Order Reduction for Vibro-Acoustic Problems using Interpolation and Balancing Methods. Journal of Sound and Vibration 543, 117363 (2023)
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Benner, P.; Chuiko, S.; Nesmelova, O.: Least Squares Method in the Theory of Nonlinear Boundary-Value Problems unsolved with Respect to the Derivative. Ukrainian Mathematical Journal 75, pp. 40 - 55 (2023)
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Benner, P.; Chuiko, S.; Zuyev, A.: A Periodic Boundary Value Problem with Switchings under Nonlinear Perturbations. Boundary Value Problems, 50, 12 pages (2023)
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Benner, P.; Chuiko, S.; Zuyev, A.: Iterative Schemes for Periodic Boundary Value Problems with Switchings. Nonlinear Oscillations 26 (1), pp. 6 - 21 (2023)
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Benner, P.; Gugercin, S.; Werner, S. W. R.: A Unifying Framework for Tangential Interpolation of Structured Bilinear Control Systems. Numerische Mathematik 155, pp. 445 - 483 (2023)
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Benner, P.; Heiland, J.: Space and Chaos-Expansion Galerkin Proper Orthogonal Decomposition Low-order Discretization of PDEs for Uncertainty Quantification. International Journal for Numerical Methods in Engineering 124 (12), pp. 2801 - 2817 (2023)
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Benner, P.; Heiland, J.; Werner, S. W. R.: A Low-Rank Solution Method for Riccati Equations with Indefinite Quadratic Terms. Numerical Algorithms 92, pp. 1083 - 1103 (2023)
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Benner, P.; Nakatsukasa, Y.; Penke, C.: A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices. SIAM journal on Matrix Analysis and Applications 44 (3), pp. 1245 - 1270 (2023)
Journal Article
Benner, P.; Palitta, D.; Saak, J.: On an integrated Krylov-ADI Solver for Large-Scale Lyapunov Equations. Numerical Algorithms 92, pp. 35 - 63 (2023)
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Benner, P.; Van Dooren, P.: Periodic Two-Dimensional Descriptor Systems. Electronic Journal of Linear Algebra 39, pp. 472 - 490 (2023)
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Boege, T.; Fritze, R.; Görgen, C.; Hanselman, J.; Iglezakis, D.; Kastner, L.; Koprucki, T.; Krause, T.; Lehrenfeld, C.; Polla, S. et al.; Reidelbach, M.; Riedel, C.; Saak, J.; Schembera, B.; Tabelow, K.; Weber, M.: Research-Data Management Planning in the German Mathematical Community. EMS Magazine 130, pp. 40 - 47 (2023)
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Chellappa, S.; Cansız, B.; Feng, L.; Benner, P.; Kaliske, M.: Fast and Reliable Reduced-Order Models for Cardiac Electrophysiology. GAMM-Mitteilungen 46 (3-4), e202370014 (2023)
Journal Article
Chellappa, S.; Feng, L.; de la Rubia, V.; Benner, P.: Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of Parametric Systems in Electromagnetics. IEEE Transactions on Microwave Theory and Techniques 71 (11), pp. 4762 - 4777 (2023)
Journal Article
Chuiko, S.; Nesmelova, O. V.; Kuz’mina, V. O.: Generalized Green’s Operator of the Matrix Integral-Differential Boundary Value Problem Unsolved with Respect to the Derivative. Journal of Mathematical Sciences 276, pp. 603 - 613 (2023)
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Chuiko, S.; Shevtsova, K. S.: Solvability Conditions for Nonlinear Matrix Equations. Journal of Mathematical Sciences 270, pp. 407 - 419 (2023)
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Diaz, A. N.; Heinkenschloss, M.; Gosea, I. V.; Antoulas, A. C.: Interpolatory Model Reduction of Quadratic-Bilinear Dynamical Systems with Quadratic-Bilinear Outputs. Advances in Computational Mathematics 49, 95 (2023)
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Feng, L.: Predicting Output Responses of Nonlinear Dynamical Systems with Parametrized Inputs using LSTM. IEEE Journal on Multiscale and Multiphysics Computational Techniques 8, pp. 97 - 107 (2023)
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Feng, L.; Lombardi, L.; Antonini, G.; Benner, P.: Multi-fidelity Error Estimation accelerates Greedy Model Reduction of Complex Dynamical Systems. International Journal for Numerical Methods in Engineering 124 (23), pp. 5312 - 5333 (2023)
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Filanova, Y.; Pontes Duff, I.; Goyal, P. K.; Benner, P.: An Operator Inference Oriented Approach for Linear Mechanical Systems. Mechanical Systems and Signal Processing 200, 110620 (2023)
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Goyal, P. K.; Benner, P.: Neural Ordinary Differential Equations with Irregular and Noisy Data. Royal Society Open Science 10, 221475 (2023)
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Grundel, S.; Flechtner, H.-H.; Butzmann, J.; Benner, P.; Kaasch, A. J.: Twice Weekly Polymerase Chain Reaction (PCR) Surveillance Swabs are not as Effective as Daily Antigen Testing for Containment of SARS-CoV-2 Outbreaks: A Modeling Study Based on Real World Data from a Child and Adolescent Psychiatry Clinic. Infection Control & Hospital Epidemiology 44 (12), pp. 1987 - 1994 (2023)
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Grundel, S.; Herty, M.: Model-Order Reduction for Hyperbolic Relaxation Systems. International Journal of Nonlinear Sciences and Numerical Simulation 24 (7), pp. 2763 - 2780 (2023)
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Grushkovskaya, V.; Zuyev, A.: Motion Planning and Stabilization of Nonholonomic Systems using Gradient Flow Approximations. Nonlinear Dynamics 111, pp. 21647 - 21671 (2023)
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Heiland, J.; Werner, S. W. R.: Low-Complexity Linear Parameter-Varying Approximations of Incompressible Navier-Stokes Equations for Truncated State-Dependent Riccati Feedback. IEEE Control Systems Letters 7, pp. 3012 - 3017 (2023)
Journal Article
Jakovcevic Stor, N.; Mitchell, T.; Tomljanovic, Z.; Ugrica, M.: Fast optimization of viscosities for frequency-weighted damping of second-order systems. Zeitschrift für angewandte Mathematik und Mechanik 103 (5), e202100127, 21 pages (2023)
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Khorrami, M. S.; Mianroodi, J. R.; Siboni, N. H.; Goyal, P. K.; Svendsen, B.; Benner, P.; Raabe, D.: An Artificial Neural Network for Surrogate Modeling of Stress Fields in Viscoplastic Polycrystalline Materials. npj Computational Materials 9, 37 (2023)
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Kour, K.; Dolgov, S.; Stoll, M.; Benner, P.: Efficient Structure-preserving Support Tensor Train Machine. Journal of Machine Learning Research 24 (4), pp. 1 - 22 (2023)
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Kumar, V.; Djemai, M.: Existence, Stability and Controllability of Piecewise Impulsive Dynamic Systems on Arbitrary Time Domain. Applied Mathematical Modelling 117, pp. 529 - 548 (2023)
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Kumar, V.; Heiland, J.; Benner, P.: Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales. Neural Processing Letters 55, pp. 9907 - 9929 (2023)
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Kumar, V.; Heiland, J.; Benner, P.: Projective Lag Quasi-Synchronization of Coupled Systems with Mixed Delays and Parameter Mismatch: A Unified Theory. Neural Computing and Applications 35, pp. 23649 - 23665 (2023)
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Kumar, V.; Stamov, G.; Stamova, I.: Controllability Results for a Class of Piecewise Nonlinear Impulsive Fractional Dynamic Systems. Applied Mathematics and Computation 439, 127625 (2023)
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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. International Journal of Nonlinear Sciences and Numerical Simulation 24 (8), pp. 2915 - 2935 (2023)
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Lund, K.; Schweitzer, M.: The Fréchet Derivative of the Tensor t-Function. Calcolo 60, 35 (2023)
Journal Article
Mitchell, T.: Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation. SIAM Journal on Scientific Computing 45 (2), pp. A753 - A780 (2023)
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