Publications

52.

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

53.

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

54.

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)

MPG.PuRe

55.

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

56.

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)

MPG.PuRe

57.

Journal Article

Bukka, S. R.; Law, Y. Z.; Santo, H.; Chan, E. S.: Reduced Order Model for Nonlinear Multi-Directional Ocean Wave Propagation. Physics of Fluids 33 (11), 117115 (2021)

MPG.PuRe

58.

Journal Article

Cao, X.; Benner, P.; Pontes Duff, I.; Schilders, W.: Model Order Reduction for Bilinear Control Systems with Inhomogeneous Initial Conditions. International Journal of Control 94 (10), pp. 2886 - 2895 (2021)

MPG.PuRe

59.

Journal Article

Chellappa, S.; Feng, L.; Benner, P.: A Training Set Subsampling Strategy for the Reduced Basis Method. Journal of Scientific Computing 89, 63, 34 pages (2021)

MPG.PuRe

60.

Journal Article

De Falco, P.; Weinkamer, R.; Wagermaier, W.; Li, C.; Snow, T.; Terrill, N. J.; Gupta, H. S.; Goyal, P. K.; Stoll, M.; Benner, P. et al.; Fratzl, P.: Tomographic X-ray Scattering based on Invariant Reconstruction: Analysis of the 3D Nanostructure of Bovine Bone. Journal of Applied Crystallography 54 (2), pp. 486 - 497 (2021)

MPG.PuRe

61.

Journal Article

Espinoza, S.; Linke, D.; Wulf, C.; Schimmler, S.; Schunk, S. A.; Benner, P.; Kraehnert, R.; Kragl, U.; Palkovits, R.; Palkovits, S. et al.; Oezaslan, M.; Gläser, R.; Bönisch, T.; Bohmer, N.; Resch, M.; Beller, M.; Deutschmann, O.; Bornscheuer, U.; Greiner, M.; Leitner, W.; Wagemann, K.: NFDI for Catalysis-Related Sciences: NFDI4Cat. Bausteine Forschungsdatenmanagement 2, pp. 57 - 71 (2021)

MPG.PuRe

62.

Journal Article

Fehr, J.; Himpe, C.; Rave, S.; Saak, J.: Sustainable Research Software Hand-Over. Journal of Open Research Software 9 (1), 5 (2021)

MPG.PuRe

63.

Journal Article

Feng, L.; Benner, P.: On Error Estimation for Reduced-order Modeling of Linear Non-Parametric and Parametric Systems. ESAIM: Mathematical Modelling and Numerical Analysis 55 (2), pp. 561 - 594 (2021)

MPG.PuRe

64.

Journal Article

Feng, L.; Fu, G.; Wang, Z.: A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations. Journal of Scientific Computing 89, 61 (2021)

MPG.PuRe

65.

Journal Article

Grundel, S.; Heyder, S.; Hotz, T.; Ritschel, T. K.S.; Sauerteig, P.; Worthmann, K.: How to coordinate Vaccination and Social Distancing to mitigate SARS-CoV-2 Outbreaks. SIAM journal on applied dynamical systems 20 (2), pp. 1135 - 1157 (2021)

MPG.PuRe

66.

Journal Article

Heiland, J.; Zuazua, E.: Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems. SIAM Journal on Control and Optimization 59 (5), pp. 3600 - 3624 (2021)

MPG.PuRe

67.

Journal Article

Himpe, C.; Grundel, S.; Benner, P.: Model Order Reduction for Gas and Energy Networks. Journal of Mathematics in Industry 11, 13, 46 pages (2021)

MPG.PuRe

68.

Journal Article

Jendersie, R.; Werner, S. W. R.: A Comparison of Numerical Methods for Model Reduction of Dense Discrete-Time Systems. at - Automatisierungstechnik 69 (8), pp. 683 - 694 (2021)

MPG.PuRe

69.

Journal Article

Khoromskaia, V.; Khoromskij, B.: Prospects of Tensor-Based Numerical Modeling of the Collective Electrostatics in Many-Particle Systems. Computational Mathematics and Mathematical Physics 61 (5), pp. 864 - 886 (2021)

MPG.PuRe

70.

Journal Article

Kressner, D.; Lund, K.; Massei, S.; Palitta, D.: Compress-and-Restart Block Krylov Subspace Methods for Sylvester Matrix Equations. Numerical Linear Algebra and Applications 28 (1), e2339, 17 pages (2021)

MPG.PuRe

71.

Journal Article

Mitchell, T.: Fast Interpolation-based Globality Certificates for Computing Kreiss Constants and the Distance to Uncontrollability. SIAM Journal on Matrix Analysis and Applications 42 (2), pp. 578 - 607 (2021)

MPG.PuRe

72.

Journal Article

Palitta, D.: Matrix Equation Techniques for Certain Evolutionary Partial Differential Equations. Journal of Scientific Computing 87 (99), 99, 36 pages (2021)

MPG.PuRe

73.

Journal Article

Palitta, D.; Kürschner, P.: On the Convergence of Krylov Methods with Low-Rank Truncations. Numerical Algorithms 88, pp. 1383 - 1417 (2021)

MPG.PuRe

74.

Journal Article

Pontes Duff, I.; Kürschner, P.: Numerical Computation and new Output Bounds for Time-Limited Balanced Truncation of Discrete-Time Systems. Linear Algebra and its Applications 623, pp. 367 - 397 (2021)

MPG.PuRe

75.

Journal Article

Redmann, M.; Bayer, C.; Goyal, P. K.: Low-Dimensional Approximations of High-Dimensional Asset Price Models. SIAM Journal on Financial Mathematics 12 (1), pp. 1 - 28 (2021)

MPG.PuRe

76.

Journal Article

Sarna, N.: A Positive and Stable L2-minimization Based Moment Method for the Boltzmann Equation of Gas dynamics. Journal of Computational Physics 440, 110428, 26 pages (2021)

MPG.PuRe

77.

Journal Article

Sarna, N.; Benner, P.: Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities. Computer Methods in Applied Mechanics and Engineering 387, 114168, 30 pages (2021)

MPG.PuRe

78.

Journal Article

Stoll, A.; Benner, P.: Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties. GAMM-Mitteilungen: Special Issue: Scientific Machine Learning - Part I 44 (1), e202100003, 21 pages (2021)

MPG.PuRe

79.

Journal Article

Vetterman, J.; Sauerzapf, S.; Naumann, A.; Beitelschmidt, M.; Herzig, R.; Benner, P.; Saak, J.: Model Order Reduction Methods for Coupled Machine Tool Models. MM Science Journal (Special Issue: ICTIMT2021), pp. 4652 - 4659 (2021)

MPG.PuRe

80.

Journal Article

Yıldız, S.; Goyal, P. K.; Benner, P.; Karasözen, B.: Learning Reduced-order Dynamics for Parametrized Shallow Water Equations from Data. International Journal for Numerical Methods in Fluids 93 (8), pp. 2803 - 2821 (2021)

MPG.PuRe

81.

Journal Article

Aliyev, N.; Benner, P.; Mengi, E.; Voigt, M.: A Subspace Framework for H_∞-Norm Minimization. SIAM Journal on Matrix Analysis and Applications 41 (2), pp. 928 - 956 (2020)

MPG.PuRe

82.

Journal Article

Benner, P.; Breiten, T.; Hartmann, C.; Schmidt, B.: Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. Journal of Computational Dynamics 7 (1), pp. 1 - 33 (2020)

MPG.PuRe

83.

Journal Article

Benner, P.; Bujanović, Z.; Kürschner, P.; Saak, J.: A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems. SIAM Journal on Scientific Computing 42 (2), pp. A957 - A996 (2020)

MPG.PuRe

84.

Journal Article

Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Low-Rank Solution of an Optimal Control Problem constrained by Random Navier-Stokes Equations. International Journal for Numerical Methods in Fluids 92 (11), pp. 1653 - 1678 (2020)

MPG.PuRe

85.

Journal Article

Benner, P.; Du, X.; Yang, G.; Ye, D.: Balanced Truncation of Linear Time-Invariant Systems over Finite-Frequency Ranges. Advances in Computational Mathematics 46, 82, 34 pages (2020)

MPG.PuRe

86.

Journal Article

Benner, P.; Goyal, P. K.; Kramer, B.; Peherstorfer, B.; Willcox, K.: Operator Inference for Non-Intrusive Model Reduction of Systems with Non-Polynomial Nonlinear Terms. Computer Methods in Applied Mechanics and Engineering 372, 113433, 17 pages (2020)

MPG.PuRe

87.

Journal Article

Benner, P.; Goyal, P. K.; Van Dooren, P.: Identification of Port-Hamiltonian Systems from Frequency Response Data. Systems & Control Letters 143, 104741, 9 pages (2020)

MPG.PuRe

88.

Journal Article

Benner, P.; Heinkenschloss, M.; Saak, J.; Weichelt, H. K.: Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI Method. Applied Numerical Mathematics 152, pp. 338 - 354 (2020)

MPG.PuRe

89.

Journal Article

Benner, P.; Trautwein, C.: Optimal Distributed and Tangential Boundary Control for the Unsteady Stochastic Stokes Equations. ESAIM: Control, Optimisation and Calculus of Variations 26, 62, 32 pages (2020)

MPG.PuRe

90.

Journal Article

Benner, P.; Werner, S. W. R.: Hankel-Norm Approximation of Large-Scale Descriptor Systems. Advances in Computational Mathematics 46 (3), 40, 31 pages (2020)

MPG.PuRe

91.

Journal Article

Chellappa, S.; Feng, L.; Benner, P.: Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems. International Journal for Numerical Methods in Engineering: Special Issue: Credible High-Fidelity and Low-Cost Simulations in Computational Engineering 121 (23), pp. 5320 - 5349 (2020)

MPG.PuRe

92.

Journal Article

Khoromskaia, V.; Khoromskij, B.; Otto, F.: Numerical Study in Stochastic Homogenization for Elliptic Partial Differential Equations: Convergence Rate in the Size of Representative Volume Elements. Numerical Linear Algebra with Applications 27 (3), e2296, 23 pages (2020)

MPG.PuRe

93.

Journal Article

Kweyu, C. M.; Feng, L.; Stein, M.; Benner, P.: Fast Solution of the Linearized Poisson-Boltzmann Equation with nonaffine Parametrized Boundary Conditions Using the Reduced Basis Method. Computing and Visualization in Science 23 (1-4), 15, 19 pages (2020)

MPG.PuRe

94.

Journal Article

Lin, L.-G.; Xin, M.: Nonlinear Control of Two-Wheeled Robot Based on Novel Analysis and Design of SDRE Scheme. IEEE Transactions on Control Systems Technology 28 (3), 8664452, pp. 1140 - 1148 (2020)

MPG.PuRe

95.

Journal Article

Mena, H.; Pfurtscheller, L.-M.; Stillfjord, T.: GPU Acceleration of Splitting Schemes Applied to Differential Matrix Equations. Numerical Algorithms 83 (1), pp. 395 - 419 (2020)

MPG.PuRe

96.

Journal Article

Mitchell, T.: Computing the Kreiss Constant of a Matrix. SIAM Journal on Matrix Analysis and Applications 41 (4), pp. 1944 - 1975 (2020)

MPG.PuRe

97.

Journal Article

Palitta, D.; Valeria, S.: Optimality Properties of Galerkin and Petrov-Galerkin Methods for Linear Matrix Equations. Vietnam Journal of Mathematics: Special Issue dedicated to Volker Mehrmann's 65th birthday 48 (4), pp. 791 - 807 (2020)

MPG.PuRe

98.

Journal Article

Penke, C.; Marek, A.; Vorwerk, C.; Draxl, C.; Benner, P.: High Performance Solution of Skew-symmetric Eigenvalue Problems with Applications in Solving the Bethe-Salpeter Eigenvalue Problem. Parallel Computing 96, 102639, 8 pages (2020)

MPG.PuRe

99.

Journal Article

Pontes Duff, I.; Grundel, S.; Benner, P.: New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. IEEE Transactions on Automatic Control 65 (6), pp. 2526 - 2535 (2020)

MPG.PuRe

100.

Journal Article

Qiu, Y.; Grundel, S.; Stoll, M.; Benner, P.: Efficient Numerical Methods for Gas Network Modeling and Simulation. Networks & Heterogeneous Media 15 (4), pp. 653 - 679 (2020)

MPG.PuRe