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 (147)

  1. 2016
    Köhler, M.; Saak, J.: On GPU Acceleration of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations. Parallel Computing 57, pp. 212 - 221 (2016)
  2. Köhler, M.; Penke, C.; Saak, J.; Ezzatti, P.: Energy-Aware Solution of Linear Systems with Many Right Hand Sides. Computer Science - Research and Development 31 (4), pp. 215 - 235 (2016)
  3. Köhler, M.; Saak, J.: On BLAS Level-3 Implementations of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations. ACM Transactions on Mathematical Software 43 (1), 3 (2016)
  4. Lang, N.; Saak, J.; Stykel, T.: Balanced Truncation Model Reduction for Linear Time-Varying Systems. Mathematical and Computer Modelling of Dynamical Systems 22 (4), pp. 267 - 281 (2016)
  5. Naumann, A.; Lang, N.; Partzsch, M.; Beitelschmidt, M.; Benner, P.; Voigt, A.; Wensch, J.: Computation of Thermo-Elastic Deformations on Machine Tools - A study of Numerical Methods. Production Engineering 10 (3), pp. 253 - 263 (2016)
  6. Silva, J. P.; Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.; Benner, P.: Balancing Energy and Performance in Dense Linear System Solvers for Hybrid ARM+GPU. CLEI Electronic Journal 19 (1), Paper 2 (2016)
  7. Zhou, B.; Chu, D.; Saak, J.; Xiao, M.: Matrix Equations with Application to Control Theory. Journal of the Franklin Institute 353 (5), pp. 971 - 973 (2016)
  8. Zuyev, A.: Exponential Stabilization of Nonholonomic Systems by Means of Oscillating Controls. SIAM Journal on Control and Optimization 54 (3), pp. 1678 - 1696 (2016)
  9. ter Maten, E. J. W.; Putek, P.; Günther, M.; Pulch, R.; Tischendorf, C.; Strohm, C.; Schoenmaker, W.; Meuris, P.; de Smedt, B.; Benner, P. et al.; Feng, L.; Banagaaya, N.; Yue, Y.; Janssen, R.; Dohmen, J. J.; Tasić, B.; Deleu, F.; Gillon, R.; Wieers, A.; Brachtendorf, H.-G.; Bittner, K.; Kratochvíl, T.; Petřzela, J.; Sotner, R.; Göthans, T.; Dřínovský, J.; Schöps, S.; Duque Guerra, D. J.; Casper, T.; De Gersem, H.; Römer, U.; Reynier, P.; Barroul, P.; Masliah, D.; Rousseau, B.: Nanoelectronic COupled Problems Solutions - nanoCOPS: Modelling, Multirate, Model Order Reduction, Uncertainty Quantification, Fast Fault Simulation. Journal of Mathematics in Industry 7 (1), 2 (2016)
  10. 2015
    Ahuja, K.; Benner, P.; de Sturler, E.; Feng, L.: Recycling BiCGSTAB with an Application to Parametric Model Order Reduction. SIAM Journal on Scientific Computing 37 (5), pp. S429 - S446 (2015)
  11. Altmann, R.; Heiland, J.: Finite Element Decomposition and Minimal Extension for Flow Equations. ESAIM: Mathematical Modelling and Numerical Analysis 49 (5), pp. 1489 - 1509 (2015)
  12. Benner, P.; Remón, A.; Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.: Extending Lyapack for the Solution of Band Lyapunov Equations on Hybrid CPU-GPU Platforms. The Journal of Supercomputing 71 (2), pp. 740 - 750 (2015)
  13. Benner, P.; Grundel, S.: Model Order Reduction for a Family of Linear Systems with Application in Parametric and Uncertain Systems. Applied Mathematics Letters 39, pp. 1 - 6 (2015)
  14. Benner, P.; Breiten, T.: Two-Sided Projection Methods for Nonlinear Model Order Reduction. SIAM Journal on Scientific Computing 37 (2), pp. B239 - B260 (2015)
  15. Benner, P.; Novaković, V.; Plaza, A.; Quintana-Ortí, E. S.; Remón, A.: Fast and Reliable Noise Estimation for Hyperspectral Subspace Identification. IEEE Geoscience and Remote Sensing Letters 12 (6), pp. 1199 - 1203 (2015)
  16. Benner, P.; Grundel, S.; Hornung, N.: Parametric Model Order Reduction with a Small H2-Error Using Radial Basis Functions. Advances in Computational Mathematics 41 (5), pp. 1231 - 1253 (2015)
  17. Benner, P.; Feng, L.: Model Order Reduction for Coupled Problems: Survey. Applied and Computational Mathematics: An International Journal 14 (1), pp. 3 - 22 (2015)
  18. Benner, P.; Schneider, J.: Uncertainty Quantification for Maxwell's Equations Using Stochastic Collocation and Model Order Reduction. International Journal for Uncertainty Quantification 5 (3), pp. 195 - 208 (2015)
  19. Benner, P.; Redmann, M.: Model Reduction for Stochastic Systems. Stochastic Partial Differential Equations: Analysis and Computations 3 (3), pp. 291 - 338 (2015)
  20. Benner, P.; Gugercin, S.; Willcox, K.: A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems. SIAM Review 57 (4), pp. 483 - 531 (2015)
  21. Benner, P.; Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Unleashing GPU Acceleration for Symmetric Band Linear Algebra Kernels and Model Reduction. Cluster Computing 18 (4), pp. 1351 - 1362 (2015)
  22. Benner, P.; Heiland, J.: Time-dependent Dirichlet Conditions in Finite Element Discretizations. ScienceOpen Research, pp. 1 - 18 (2015)
  23. Benner, P.; Mena, H.; Schneider, R.: Drogen, Herbizide und numerische Simulation. Mitteilungen der DMV 23 (4), pp. 222 - 225 (2015)
  24. Benner, P.; Onwunta, A.; Stoll, M.: Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. SIAM/ASA Journal on Uncertainty Quantification 3 (1), pp. 622 - 649 (2015)
  25. Biermann, H.; Grundel, S.; Zorin, D.: Smoothness of Subdivision Surfaces with Boundary. Constructive Approximation 42 (1), pp. 1 - 29 (2015)
  26. Bruns, A.; Benner, P.: Parametric Model Order Reduction of Thermal Models Using the Bilinear Interpolatory Rational Krylov Algorithm. Mathematical and Computer Modelling of Dynamical Systems 21 (2), pp. 103 - 129 (2015)
  27. Bujanović, Z.; Drmač, Z.: A new framework for implicit restarting of the Krylov–Schur algorithm. Numerical Linear Algebra with Applications 22 (2), pp. 220 - 232 (2015)
  28. Bänsch, E.; Benner, P.; Saak, J.; Weichelt, H. K.: Riccati-Based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flow. SIAM Journal on Scientific Computing 37 (2), pp. A832 - A858 (2015)
  29. De Luca, G.; Antonini, G.; Benner, P.: Parallel Model Order Reduction of Sparse Electromagnetic/Circuit Models. Applied Computational Electromagnetics Society Journal 30 (1), pp. S1 - 21 (2015)
  30. Feng, L.; Korvink, J. G.; Benner, P.: A Fully Adaptive Scheme for Model Order Reduction Based on Moment-Matching. IEEE Transactions on Components, Packaging, and Manufacturing Technology 5 (12), pp. 1872 - 1884 (2015)
  31. Freitag, M. A.; Kürschner, P.: Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration. Numerical Linear Algebra with Applications 22 (1), pp. 175 - 196 (2015)
  32. Hess, M. W.; Grundel, S.; Benner, P.: Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell's Equations. IEEE Transactions on Microwave Theory and Techniques 63 (11), pp. 3549 - 3557 (2015)
  33. Hossain, M.-S.; Uddin, M. M.: Reduce Order Modelling of Power System Models Using Interpolatory Projections Technique. International Journal of Modeling and Optimization 5 (3), pp. 228 - 233 (2015)
  34. Khoromskaia, V.; Khoromskij, B. N.: Tensor numerical methods in quantum chemistry: from Hartree–Fock to excitation energies. Physical Chemistry Chemical Physics 17 (47), pp. 31491 - 31509 (2015)
  35. Lang, N.; Saak, J.; Benner, P.; Ihlenfeldt, S.; Nestmann, S.; Schädlich, K.: Towards the Identification of Heat Induction in Chip Removing Processes via an Optimal Control Approach. Production Engineering: Development & Research 9 (3), pp. 343 - 349 (2015)
  36. Lang, N.; Mena, H.; Saak, J.: On the benefits of the LDLT factorization for large-scale differential matrix equation solvers. Linear Algebra and its Applications 480, pp. 44 - 71 (2015)
  37. Liang, X.; Li, R.-C.: The Hyperbolic Quadratic Eigenvalue Problem. Forum of Mathematics, Sigma 3, e13 (2015)
  38. Lyra, M.; Onwunta, A.; Winker, P.: Threshold accepting for credit risk assessment and validation. Journal of Banking Regulation 16 (2), pp. 130 - 145 (2015)
  39. Mangold, M.; Feng, L.; Khlopov, D.; Palis, S.; Benner, P.; Binev, D.; Seidel-Morgenstern, A.: Nonlinear model reduction of a continuous fluidized bed crystallizer. Journal of Computational and Applied Mathematics 289, pp. 253 - 266 (2015)
  40. Saak, J.; Remón, A.: Interview: "Energiesparende Algorithmen?: Hochleistungsrechner auf dem Prüfstand". Laborpraxis (39), pp. 16 - 17 (2015)
  41. Yücel, H.; Benner, P.: Adaptive Discontinuous Galerkin Methods for State Constrained Optimal Control Problems Governed by Convection Diffusion Equations. Computational Optimization and Applications 62 (1), pp. 291 - 321 (2015)
  42. Yücel, H.; Stoll, M.; Benner, P.: A Discontinuous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction Terms. Computers and Mathematics with Applications 70 (10), pp. 2414 - 2431 (2015)
  43. Zhang, Y.; Feng, L.; Li, S.; Benner, P.: Accelerating PDE Constrained Optimization by the Reduced Basis Method: Application to Batch Chromatography. International Journal for Numerical Methods in Engineering 104 (11), pp. 983 - 1007 (2015)
  44. Zhang, Y.; Feng, L.; Li, S.; Benner, P.: An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations. SIAM Journal on Scientific Computing 37 (6), pp. B910 - B936 (2015)
  45. Zuyev, A.; Sawodny, O.: Modelling and control of a shell structure based on a finite dimensional variational formulation. Mathematical and Computer Modelling of Dynamical Systems: Methods, Tools and Applications in Engineering and Related Sciences 21 (6), pp. 591 - 612 (2015)
  46. 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)
  47. 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)
  48. 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)
  49. 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)
  50. Benner, P.; Breiten, T.: On Optimality of Approximate Low-Rank Solutions of Large-Scale Matrix Equations. Systems & Control Letters 67, pp. 55 - 64 (2014)
 
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