Publications

53.

Journal Article

Przybilla, J.; Voigt, M.: Model Reduction of Parametric Differential-Algebraic Systems by Balanced Truncation. Mathematical and Computer Modelling of Dynamical Systems 30 (1), pp. 303 - 341 (2024)

MPG.PuRe

54.

Journal Article

Saak, J.; Werner, S. W. R.: Using LDL^T Factorizations in Newton's Method for Solving General Large-Scale Algebraic Riccati Equations. Electronic Transactions on Numerical Analysis 62, pp. 95 - 118 (2024)

MPG.PuRe

55.

Journal Article

Sarna, N.; Giesselmann, J.; Benner, P.: Data-Driven Snapshot Calibration via Monotonic Feature Matching. Finite Elements in Analysis & Design 230, 104065 (2024)

MPG.PuRe

56.

Journal Article

Savchenko, M.; Skrypnik, I.; Yevgenieva, Y.: On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations. Journal of Mathematical Analysis and Applications 537 (2), 128331 (2024)

MPG.PuRe

57.

Journal Article

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)

MPG.PuRe

58.

Journal Article

Yevgenieva, Y.; Zuyev, A.; Benner, P.; Seidel-Morgenstern, A.: Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric Constraint. Journal of Optimization Theory and Applications 202, pp. 582 - 604 (2024)

MPG.PuRe

59.

Journal Article

Yildiz, S.; Goyal, P. K.; Bendokat, T.; Benner, P.: Data-Driven Identification of Quadratic Representations for Nonlinear Hamiltonian Systems using Weakly Symplectic Liftings. Journal of Machine Learning for Modeling and Computing 5 (2), pp. 45 - 71 (2024)

MPG.PuRe

60.

Journal Article

Zuyev, A.; Feng, L.; Benner, P.: Estimates of the Kolmogorov n-Width for Nonlinear Transformations with Application to Distributed-Parameter Control Systems. IEEE Control Systems Letters 8, pp. 1877 - 1882 (2024)

MPG.PuRe

61.

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)

MPG.PuRe

62.

Journal Article

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)

MPG.PuRe

63.

Journal Article

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)

MPG.PuRe

64.

Journal Article

Benner, P.; Chuiko, S.; Zuyev, A.: A Periodic Boundary Value Problem with Switchings under Nonlinear Perturbations. Boundary Value Problems, 50, 12 pages (2023)

MPG.PuRe

65.

Journal Article

Benner, P.; Chuiko, S.; Zuyev, A.: Iterative Schemes for Periodic Boundary Value Problems with Switchings. Nonlinear Oscillations 26 (1), pp. 6 - 21 (2023)

MPG.PuRe

External

66.

Journal Article

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)

MPG.PuRe

67.

Journal Article

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)

MPG.PuRe

68.

Journal Article

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)

MPG.PuRe

69.

Journal Article

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)

MPG.PuRe

70.

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)

MPG.PuRe

71.

Journal Article

Benner, P.; Van Dooren, P.: Periodic Two-Dimensional Descriptor Systems. Electronic Journal of Linear Algebra 39, pp. 472 - 490 (2023)

MPG.PuRe

72.

Journal Article

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)

MPG.PuRe

73.

Journal Article

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)

MPG.PuRe

74.

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)

MPG.PuRe

75.

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)

MPG.PuRe

76.

Journal Article

Chuiko, S.; Shevtsova, K. S.: Solvability Conditions for Nonlinear Matrix Equations. Journal of Mathematical Sciences 270, pp. 407 - 419 (2023)

MPG.PuRe

77.

Journal Article

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)

MPG.PuRe

78.

Journal Article

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)

MPG.PuRe

79.

Journal Article

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)

MPG.PuRe

80.

Journal Article

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)

MPG.PuRe

81.

Journal Article

Goyal, P. K.; Benner, P.: Neural Ordinary Differential Equations with Irregular and Noisy Data. Royal Society Open Science 10, 221475 (2023)

MPG.PuRe

82.

Journal Article

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)

MPG.PuRe

83.

Journal Article

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)

MPG.PuRe

84.

Journal Article

Grushkovskaya, V.; Zuyev, A.: Motion Planning and Stabilization of Nonholonomic Systems using Gradient Flow Approximations. Nonlinear Dynamics 111, pp. 21647 - 21671 (2023)

MPG.PuRe

85.

Journal Article

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)

MPG.PuRe

External

86.

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)

MPG.PuRe

87.

Journal Article

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)

MPG.PuRe

88.

Journal Article

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)

MPG.PuRe

External

89.

Journal Article

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)

MPG.PuRe

90.

Journal Article

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)

MPG.PuRe

91.

Journal Article

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)

MPG.PuRe

92.

Journal Article

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)

MPG.PuRe

93.

Journal Article

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)

MPG.PuRe

94.

Journal Article

Lund, K.: Adaptively Restarted Block Krylov Subspace Methods with Low-Synchronization Skeletons. Numerical Algorithms 93, pp. 731 - 764 (2023)

MPG.PuRe

95.

Journal Article

Lund, K.; Schweitzer, M.: The Fréchet Derivative of the Tensor t-Function. Calcolo 60, 35 (2023)

MPG.PuRe

96.

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)

MPG.PuRe

97.

Journal Article

Mitchell, T.: Fast Computation of Sepƛ via Interpolation-based Globality Certificates. Electronic Transactions on Numerical Analysis 58, pp. 402 - 431 (2023)

MPG.PuRe

98.

Journal Article

Mitchell, T.; Van Dooren, P.: Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems. SIAM journal on matrix analysis and applications 44 (2), pp. 753 - 780 (2023)

MPG.PuRe

99.

Journal Article

Redmann, M.; Pontes Duff, I.: Model Order Reduction for Bilinear Systems with Non-Zero Initial States - different Approaches with Error Bounds. International Journal of Control 96 (6), pp. 1491 - 1504 (2023)

MPG.PuRe

100.

Journal Article

Rumpler, R.; Aumann, Q.: MWCAWE: A Multivariate WCAWE Approach for Parametric Model Order Reduction, and a Sampling Strategy for the Bivariate Case. Journal of Computational Physics 490, 112319 (2023)

MPG.PuRe