Publications of Peter Benner

Benner, P.; Saak, J.; Schieweck, F.; Skrzypacz, P.; Weichelt, H. K.: A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the Stokes Equations. Journal of Numerical Mathematics 22 (3), pp. 191 - 220 (2014)

Benner, P.; Stykel, T.: Numerical Solution of Projected Algebraic Riccati Equations. SIAM Journal on Numerical Analysis 52 (2), pp. 581 - 600 (2014)

Benner, P.; Voigt, M.: A Structured Pseudospectral Method for H_∞-Norm Computation of Large-Scale Descriptor Systems. Mathematics of Control, Signals, and Systems 26 (2), pp. 303 - 338 (2014)

Bosch, J.; Stoll, M.; Benner, P.: Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Journal of Computational Physics 262, pp. 38 - 57 (2014)

Hess, M. W.; Benner, P.: A Reduced Basis Method for Microwave Semiconductor Devices with Geometric Variations. COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33 (4), pp. 1071 - 1081 (2014)

Lang, N.; Saak, J.; Benner, P.: Model Order Reduction for Systems with Moving Loads. at - Automatisierungstechnik 62 (7), pp. 512 - 522 (2014)

Li, S.; Feng, L.; Benner, P.; Seidel-Morgenstern, A.: Using Surrogate Models for Efficient Optimization of Simulated Moving Bed Chromatography. Computers and Chemical Engineering 67, pp. 121 - 132 (2014)

Li, S.; Yue, Y.; Feng, L.; Benner, P.; Seidel-Morgenstern, A.: Model Reduction for Linear Simulated Moving Bed Chromatography Systems Using Krylov-Subspace Methods. AIChE-Journal 60 (11), pp. 3773 - 3783 (2014)

Benner, P.; Börm, S.; Mach, T.; Reimer, K.: Computing the Eigenvalues of Symmetric H²-Matrices by Slicing the Spectrum. Computing and Visualization in Science 16 (6), pp. 271 - 282 (2013)

Benner, P.; Breiten, T.: Low Rank Methods for a Class of Generalized Lyapunov Equations and Related Issues. Numerische Mathematik 124 (3), pp. 441 - 470 (2013)

Benner, P.; Ezzatti, P.; Mena, H.; Quintana-Ortí, E.; Remón, A.: HPC en simulación y control a gran escala. Revista Elementos 3 (3), pp. 9 - 35 (2013)

Benner, P.; Ezzatti, P.; Mena, H.; Quintana-Ortí, E. S.; Remón, A.: Solving Matrix Equations on Multi-Core and Many-Core Architectures. Algorithms 6 (4), pp. 857 - 870 (2013)

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), pp. 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), pp. 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), pp. 593 - 615 (2013)

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

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

Benner, P.; Mena, H.: Rosenbrock Methods for Solving Riccati Differential Equations. IEEE Transactions on Automatic Control 58 (11), pp. 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), pp. 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 , pp. S150 - S170 (2013)