Head of the Group

Prof. Dr. Peter Benner
Prof. Dr. Peter Benner
Phone: +49 391 6110 450
Fax: +49 391 6110 453

Contact Person

Diana Noatsch-Liebke
Phone: +49 391 6110 450
Fax: +49 391 6110 526
Janine Holzmann
Phone: +49 391 6110 416
Fax: +49 391 6110 637

Group Page

Publications

Publications CSC group

Journal Article (152)

  1. 2014
    Akman, T.; Yücel, H.; Karasözen, B.: A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations. Computational Optimization and Applications 57 (3), pp. 703 - 729 (2014)
  2. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: A Factored Variant of the Newton Iteration for the Solution of Algebraic Riccati Equations via the Matrix Sign Function. Numerical Algorithms 66 (2), pp. 363 - 377 (2014)
  3. 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)
  4. Benner, P.; Hossain, M.-S.; Stykel, T.: Low-Rank Iterative Methods of Periodic Projected Lyapunov Equations and their Application in Model Reduction of Periodic Descriptor Systems. Numerical Algorithms 67 (3), pp. 669 - 690 (2014)
  5. Benner, P.; Breiten, T.: On Optimality of Approximate Low-Rank Solutions of Large-Scale Matrix Equations. Systems & Control Letters 67, pp. 55 - 64 (2014)
  6. Benner, P.; Kürschner, P.: Computing Real Low-Rank Solutions of Sylvester Equations by the Factored ADI Method. Computers and Mathematics with Applications 67 (9), pp. 1656 - 1672 (2014)
  7. Benner, P.; Stykel, T.: Numerical Solution of Projected Algebraic Riccati Equations. SIAM Journal on Numerical Analysis 52 (2), pp. 581 - 600 (2014)
  8. Benner, P.; Breiten, T.: Rational Interpolation Methods for Symmetric Sylvester Equations. Electronic Transactions on Numerical Analysis (ETNA) 42, pp. 147 - 164 (2014)
  9. Benner, P.; Ezzati, P.; Quintana-Ortí, E. S.; Remón, A.: Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory. CLEI Electronic Journal 17 (1), p. Paper 3 (2014)
  10. 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)
  11. Benner, P.; Kürschner, P.; Saak, J.: Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations. Electronic Transactions on Numerical Analysis (ETNA) 43, pp. 142 - 162 (2014)
  12. Benner, P.; El Khoury, G.; Sadkane, M.: On the Squared Smith Method for Large-Scale Stein Equations. Numerical Linear Algebra with Applications 21 (5), pp. 645 - 665 (2014)
  13. 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 (2014)
  14. Bentley, J.; Li, S.; Kawajiri, Y.: Experimental Validation of Optimized Model-Based Startup Acceleration Strategies for Simulated Moving Bed Chromatography. Industrial and Engineering Chemistry Research 53 (30), pp. 12063 - 12076 (2014)
  15. 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)
  16. Grundel, S.; Overton, M. L.: Variational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple Eigenvalue. Set-Valued and Variational Analysis 22 (1), pp. 19 - 43 (2014)
  17. 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)
  18. Lang, N.; Saak, J.; Benner, P.: Model Order Reduction for Systems with Moving Loads. at - Automatisierungstechnik 62 (7), pp. 512 - 522 (2014)
  19. 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)
  20. Seymen, Z. K.; Yücel, H.; Karasözen, B.: Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization. Journal of Computational and Applied Mathematics 261, pp. 146 - 157 (2014)
  21. Yücel, H.; Karasözen, B.: Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints. Optimization 63 (1), pp. 145 - 166 (2014)
  22. 2013
    Benner, P.; Mach, T.: The Preconditioned Inverse Iteration for Hierarchical Matrices. Numerical Linear Algebra with Applications 20 (1), pp. 150 - 166 (2013)
  23. Benner, P.; Tomljanović, Z.; Truhar, N.: Optimal Damping of Selected Eigenfrequencies Using Dimension Reduction. Numerical Linear Algebra with Applications 20 (1), pp. 1 - 17 (2013)
  24. 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)
  25. Benner, P.; Voigt, M.: Spectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems. Linear Algebra and its Applications 439 (4), pp. 1104 - 1129 (2013)
  26. 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)
  27. Benner, P.; Mach, T.: The LR Cholesky Algorithm for Symmetric Hierarchical Matrices. Linear Algebra and its Applications 439 (4), pp. 1150 - 1166 (2013)
  28. 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)
  29. 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 (5 - Special Section: 2012 Copper Mountain Conference), pp. S150 - S170 (2013)
  30. Benner, P.; Mena, H.: Rosenbrock Methods for Solving Riccati Differential Equations. IEEE Transactions on Automatic Control 58 (11), pp. 2950 - 2956 (2013)
  31. 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)
  32. 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)
  33. 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)
  34. 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)
  35. 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), pp. 84 - 110 (2013)
  36. 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), pp. 2265 - 2274 (2013)
  37. 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), pp. 198 - 216 (2013)
  38. Yücel, H.; Stoll, M.; Benner, P.: Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models. Computers and Chemical Engineering 58, pp. 278 - 287 (2013)
  39. 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), pp. 233 - 238 (2012)
  40. Benner, P.; Mach, T.: Computing All or Some Eigenvalues of Symmetric ℋ-Matrices. SIAM Journal on Scientific Computing 34 (1), pp. A485 - A496 (2012)
  41. Benner, P.; Breiten, T.: Interpolation-Based H2-Model Reduction of Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 33 (3), pp. 859 - 885 (2012)
  42. Blank, L.; Sarbu, L.; Stoll, M.: Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Journal of Computational Physics 231 (16), pp. 5406 - 5420 (2012)
  43. 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), pp. 1126 - 1152 (2012)
  44. Stoll, M.: A Krylov-Schur approach to the truncated SVD. Linear Algebra and its Applications 436 (8), pp. 2795 - 2806 (2012)
  45. 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), pp. 577 - 586 (2012)
  46. 2011
    Baur, U.; Beattie, C.; Benner, P.; Gugercin, S.: Interpolatory Projection Methods for Parameterized Model Reduction. SIAM Journal on Scientific Computing 33 (5), pp. 2489 - 2518 (2011)
  47. 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), pp. 439 - 450 (2011)
  48. Benner, P.; Saak, J.: Efficient Balancing-Based MOR for Large-Scale Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 17 (2), pp. 123 - 143 (2011)
  49. 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), pp. 686 - 711 (2011)
  50. Benner, P.; Faßbender, H.: On the Numerical Solution of Large-Scale Sparse Discrete-Time Riccati Equations. Advances in Computational Mathematics 35 (2-4), pp. 119 - 147 (2011)
 
loading content