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. 2016
    Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Low-Rank Solvers for Unsteady Stokes-Brinkman Optimal Control Problem with Random Data. Computer Methods in Applied Mechanics and Engineering 304, pp. 26 - 54 (2016)
  2. Benner, P.; Heinkenschloss, M.; Saak, J.; Weichelt, H. K.: An Inexact Low-Rank Newton-ADI Method for Large-Scale Algebraic Riccati Equations. Applied Numerical Mathematics 108, pp. 125 - 142 (2016)
  3. Benner, P.; Saak, J.; Uddin, M. M.: Structure Preserving Model Order Reduction of Large Sparse Second-Order Index-1 Systems and Application to a Mechatronics Model. Mathematical and Computer Modelling of Dynamical Systems 22 (6), pp. 509 - 523 (2016)
  4. Fehr, J.; Heiland, J.; Himpe, C.; Saak, J.: Best Practices for Replicability, Reproducibility and Reusability of Computer-based Experiments exemplified by Model Reduction Software. AIMS Mathematics 1 (3), pp. 261 - 281 (2016)
  5. Feng, L.; Yue, Y.; Banagaaya, N.; Meuris, P.; Schoenmaker, W.; Benner, P.: Parametric Modeling and Model Order Reduction for (Electro-)Thermal Analysis of Nanoelectronic Structures. Journal of Mathematics in Industry 6 (1), 10 (2016)
  6. Heiland, J.: A Differential-Algebraic Riccati Equation for Applications in Flow Control. SIAM Journal on Control and Optimization 54 (2), pp. 718 - 739 (2016)
  7. Köhler, M.; Saak, J.: On GPU Acceleration of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations. Parallel Computing 57, pp. 212 - 221 (2016)
  8. 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)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. Zuyev, A.: Exponential Stabilization of Nonholonomic Systems by Means of Oscillating Controls. SIAM Journal on Control and Optimization 54 (3), pp. 1678 - 1696 (2016)
  14. 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)
  15. 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)
  16. 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)
  17. 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)
  18. 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)
  19. Benner, P.; Breiten, T.: Two-Sided Projection Methods for Nonlinear Model Order Reduction. SIAM Journal on Scientific Computing 37 (2), pp. B239 - B260 (2015)
  20. 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)
  21. 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)
  22. Benner, P.; Feng, L.: Model Order Reduction for Coupled Problems: Survey. Applied and Computational Mathematics: An International Journal 14 (1), pp. 3 - 22 (2015)
  23. 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)
  24. Benner, P.; Redmann, M.: Model Reduction for Stochastic Systems. Stochastic Partial Differential Equations: Analysis and Computations 3 (3), pp. 291 - 338 (2015)
  25. 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)
  26. 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)
  27. Benner, P.; Heiland, J.: Time-dependent Dirichlet Conditions in Finite Element Discretizations. ScienceOpen Research, pp. 1 - 18 (2015)
  28. Benner, P.; Mena, H.; Schneider, R.: Drogen, Herbizide und numerische Simulation. Mitteilungen der DMV 23 (4), pp. 222 - 225 (2015)
  29. 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)
  30. Biermann, H.; Grundel, S.; Zorin, D.: Smoothness of Subdivision Surfaces with Boundary. Constructive Approximation 42 (1), pp. 1 - 29 (2015)
  31. 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)
  32. 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)
  33. 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)
  34. 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)
  35. 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)
  36. 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)
  37. 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)
  38. 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)
  39. 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)
  40. 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)
  41. 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)
  42. Liang, X.; Li, R.-C.: The Hyperbolic Quadratic Eigenvalue Problem. Forum of Mathematics, Sigma 3, e13 (2015)
  43. Lyra, M.; Onwunta, A.; Winker, P.: Threshold accepting for credit risk assessment and validation. Journal of Banking Regulation 16 (2), pp. 130 - 145 (2015)
  44. 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)
  45. Saak, J.; Remón, A.: Interview: "Energiesparende Algorithmen?: Hochleistungsrechner auf dem Prüfstand". Laborpraxis (39), pp. 16 - 17 (2015)
  46. 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)
  47. 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)
  48. 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)
  49. 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)
  50. 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)
 
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