Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Matrix Inversion on CPU-GPU Platforms with Applications in Control Theory. Concurrency and Computation: Practice and Experience 25 (8), S. 1170 - 1182 (2013)

Benner, P.; Kürschner, P.; Saak, J.: Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method. Numerical Algorithms 62 (2), S. 225 - 251 (2013)

Benner, P.; Kürschner, P.; Saak, J.: An Improved Numerical Method for Balanced Truncation for Symmetric Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 19 (6), S. 593 - 615 (2013)

Benner, P.; Mach, T.: The Preconditioned Inverse Iteration for Hierarchical Matrices. Numerical Linear Algebra with Applications 20 (1), S. 150 - 166 (2013)

Benner, P.; Mach, T.: The LR Cholesky Algorithm for Symmetric Hierarchical Matrices. Linear Algebra and its Applications 439 (4), S. 1150 - 1166 (2013)

Benner, P.; Mena, H.: Rosenbrock Methods for Solving Riccati Differential Equations. IEEE Transactions on Automatic Control 58 (11), S. 2950 - 2956 (2013)

Benner, P.; Saak, J.: Numerical Solution of Large and Sparse Continuous Time Algebraic Matrix Riccati and Lyapunov Equations: A State of the Art Survey. GAMM-Mitteilungen 36 (1), S. 32 - 52 (2013)

Benner, P.; Saak, J.; Stoll, M.; Weichelt, H. K.: Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow. SIAM Journal on Scientific Computing 35 , S. S150 - S170 (2013)

Benner, P.; Tomljanović, Z.; Truhar, N.: Optimal Damping of Selected Eigenfrequencies Using Dimension Reduction. Numerical Linear Algebra with Applications 20 (1), S. 1 - 17 (2013)

Benner, P.; Voigt, M.: Spectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems. Linear Algebra and its Applications 439 (4), S. 1104 - 1129 (2013)

Feng, L.; Benner, P.; Korvink, J. G.: Subspace Recycling Accelerates the Parametric Macro‐modeling of MEMS. International Journal for Numerical Methods in Engineering 94 (1), S. 84 - 110 (2013)

Hess, M. W.; Benner, P.: Fast Evaluation of Time-Harmonic Maxwell's Equations Using the Reduced Basis Method. IEEE Transactions on Microwave Theory and Techniques 61 (6), S. 2265 - 2274 (2013)

Nowakowski, C.; Kürschner, P.; Eberhard, P.; Benner, P.: Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations. Zeitschrift für Angewandte Mathematik und Mechanik 93 (4), S. 198 - 216 (2013)

Yücel, H.; Stoll, M.; Benner, P.: Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models. Computers and Chemical Engineering 58, S. 278 - 287 (2013)

Benner, P.; Breiten, T.: Interpolation-Based H₂-Model Reduction of Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 33 (3), S. 859 - 885 (2012)

Benner, P.; Mach, T.: Computing All or Some Eigenvalues of Symmetric ℋ_ℓ-Matrices. SIAM Journal on Scientific Computing 34 (1), S. A485 - A496 (2012)

Benner, P.; Sima, V.; Voigt, M.: L_∞-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils. IEEE Transactions on Automatic Control 57 (1), S. 233 - 238 (2012)

Blank, L.; Sarbu, L.; Stoll, M.: Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Journal of Computational Physics 231 (16), S. 5406 - 5420 (2012)

Pearson, J. W.; Stoll, M.; Wathen, A. J.: Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems. SIAM Journal on Matrix Analysis and Applications 33 (4), S. 1126 - 1152 (2012)

Stoll, M.: A Krylov-Schur approach to the truncated SVD. Linear Algebra and its Applications 436 (8), S. 2795 - 2806 (2012)

Uddin, M. M.; Saak, J.; Kranz, B.; Benner, P.: Computation of a Compact State Space Model for an Adaptive Spindle Head Configuration with Piezo Actuators using Balanced Truncation. Production Engineering 6 (6), S. 577 - 586 (2012)

Baur, U.; Beattie, C.; Benner, P.; Gugercin, S.: Interpolatory Projection Methods for Parameterized Model Reduction. SIAM Journal on Scientific Computing 33 (5), S. 2489 - 2518 (2011)

Benner, P.; Breiten, T.; Damm, T.: Generalized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear Systems. International Journal of Control 84 (8), S. 1398 - 1407 (2011)

Benner, P.; Byers, R.; Losse, P.; Mehrmann, V.; Xu, H.: Robust Formulas for Optimal H_∞ Controllers. Automatica 47 (12), S. 2639 - 2646 (2011)

Benner, P.; Damm, T.: Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems. SIAM Journal on Control and Optimization 49 (2), S. 686 - 711 (2011)

Benner, P.; Ezzatti, P.; Kressner, D.; Quintana-Ortí, E. S.; Remón, A.: A Mixed-Precision Algorithm for the Solution of Lyapunov Equations on Hybrid CPU-GPU Platforms. Parallel Computing 37 (8), S. 439 - 450 (2011)

Benner, P.; Faßbender, H.: On the Numerical Solution of Large-Scale Sparse Discrete-Time Riccati Equations. Advances in Computational Mathematics 35 (2-4), S. 119 - 147 (2011)

Benner, P.; Saak, J.: Efficient Balancing-Based MOR for Large-Scale Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 17 (2), S. 123 - 143 (2011)

Benner, P.; Faßbender, H.: Modellreduktion: Eine systemtheoretisch orientierte Einführung. Springer Spektrum, Berlin, Heidelberg (2024), XIV, 259 S.

Aschenbruck, T.; Dickert, J.; Esterhuizen, W.; Filipecki, B.; Grundel, S.; Helmberg, C.; Ritschel, T. K. S.; Sauerteig, P.; Streif, S.; Wasserrab, A. et al.; Worthmann, K.: Hierarchical Power Systems: Optimal Operation Using Grid Flexibilities. Springer Cham (2023), VIII, 55 S.