Veröffentlichungen

Veröffentlichungen

Zeitschriftenartikel (184)

  1. 1.
    MPG.PuRe
    DOI
    Zeitschriftenartikel
    Ahmad, M. I.; Feng, L.; Benner, P.: A New Two-Sided Projection Technique for Model Reduction of Quadratic-Bilinear Descriptor Systems. (angenommen)
  2. 2.
    MPG.PuRe
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    Ahmad, M. I.; Benner, P.; Feng, L.: Interpolatory Model Reduction for Quadratic-Bilinear Systems using Error Estimators. Engineering Computations 36 (1), S. 25 - 44 (2019)
  3. 3.
    MPG.PuRe
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    pre-print
    Zeitschriftenartikel
    Benner, P.; Onwunta, A.; Stoll, M.: A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. Computational Methods in Applied Mathematics 19 (1), S. 5 - 22 (2019)
  4. 4.
    MPG.PuRe
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    Benner, P.; Khoromskaia, V.; Khoromskij, B. N.; Yang, C.: Computing the Density of States for Optical Spectra of Molecules by Low-Rank and QTT Tensor Approximation. Journal of Computational Physics 382, S. 221 - 239 (2019)
  5. 5.
    MPG.PuRe
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    Benner, P.; Dufrechou, E.; Ezzatti, P.; Remón, A.; Saak, J.: A GPU-Aware Mixed-Precision Solver for Low-Rank Algebraic Riccati Equations. Concurrency and Computation: Practice and Experience 31 (6), e4462 (2019)
  6. 6.
    MPG.PuRe
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    Zeitschriftenartikel
    Benner, P.; Herzog, R.; Lang, N.; Riedel, I.; Saak, J.: Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models. Engineering Optimization 51 (3), S. 465 - 483 (2019)
  7. 7.
    MPG.PuRe
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    Zeitschriftenartikel
    Benner, P.; Trautwein, C.: Optimal Control Problems Constrained by the Stochastic Navier-Stokes Equations with Multiplicative Lévy Noise. (angenommen)
  8. 8.
    MPG.PuRe
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    pre-print
    Zeitschriftenartikel
    Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.: Periodic Switching Strategies for an Isoperimetric Control Problem with Application to Nonlinear Chemical Reactions. Applied Mathematical Modelling 69, S. 287 - 300 (2019)
  9. 9.
    MPG.PuRe
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    Benner, P.; Cao, X.; Schilders, W.: A Bilinear H2 Model Order Reduction Approach to Linear Parameter-Varying Systems. (angenommen)
  10. 10.
    MPG.PuRe
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    Goyal, P. K.; Redmann, M.: Time-Limited H2-Optimal Model Order Reduction. Applied Mathematics and Computation 355, S. 184 - 197 (2019)
  11. 11.
    MPG.PuRe
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    Köhler, M.; Saak, J.: Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme with Application to the Matrix-Sign-Function on OpenPOWER 8. Concurrency and Computation: Practice and Experience 31 (6), e4504 (2019)
  12. 12.
    MPG.PuRe
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    Litvinenko, A.; Keyes, D.; Khoromskaia, V.; Khoromskij, B. N.; Matthies, H. G.: Tucker Tensor Analysis of Matérn Functions in Spatial Statistics. Computational Methods in Applied Mathematics 19 (1), S. 101 - 122 (2019)
  13. 13.
    MPG.PuRe
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    Zhou, X.; Li, X.; Liu, F.; Ge, W.; Ma, X.; Tian, Y.; Li, G.; Zhang, J.; Qiu, Y.: The Comprehensive Evaluation Model of Power Supply Capacity for Regional-Oriented Distribution Network. (angenommen)
  14. 14.
    MPG.PuRe
    Zeitschriftenartikel
    Altmann, R.; Heiland, J.: Regularization and Rothe Discretization of Semi-Explicit Operator DAEs. International Journal of Numerical Analysis and Modeling 15 (3), S. 452 - 478 (2018)
  15. 15.
    MPG.PuRe
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    Antoulas, A. C.; Benner, P.; Feng, L.: Model Reduction by Iterative Error System Approximation. Mathematical and Computer Modelling of Dynamical Systems 24 (2), S. 103 - 118 (2018)
  16. 16.
    MPG.PuRe
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    Baran, B.; Benner, P.; Heiland, J.; Saak, J.: Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier-Stokes-Equations and Mesh Movement. Analele Stiintifice ale Universitatii Ovidius Constanta - Seria Matematica 26 (2), S. 11 - 40 (2018)
  17. 17.
    MPG.PuRe
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    Baumann, M.; Benner, P.; Heiland, J.: Space-time Galerkin POD with Application in Optimal Control of Semi-Linear Parabolic Partial Differential Equations. SIAM Journal on Scientific Computing 40 (3), S. A1611 - A1641 (2018)
  18. 18.
    MPG.PuRe
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    Baumann, M.; Astudillo, R.; Qiu, Y.; Ang, E. Y. M.; van , v. G.; Plessix, R.-E.: An MSSS-preconditioned Matrix Equation Approach for the Time-Harmonic Elastic Wave Equation at Multiple Frequencies. Computational Geosciences 22 (1), S. 43 - 61 (2018)
  19. 19.
    MPG.PuRe
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    Benner, P.; Mena, H.: Numerical Solution of the Infinite-Dimensional LQR Problem and the Associated Riccati Differential Equations. Journal of Numerical Mathematics 26 (1), S. 1 - 20 (2018)
  20. 20.
    MPG.PuRe
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    Benner, P.; Goyal, P. K.; Gugercin, S.: H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 39 (2), S. 983 - 1032 (2018)
  21. 21.
    MPG.PuRe
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    Benner, P.; Bujanović, Z.; Kürschner, P.; Saak, J.: RADI: a Low-Rank ADI-Type Algorithm for Large Scale Algebraic Riccati Equations. Numerische Mathematik 138 (2), S. 301 - 330 (2018)
  22. 22.
    MPG.PuRe
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    post-print
    Zeitschriftenartikel
    Benner, P.; Heiland, J.: Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati Based Feedback. International Journal of Robust and Nonlinear Control 28 (4), S. 1218 - 1232 (2018)
  23. 23.
    MPG.PuRe
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    Benner, P.; Mitchell, T.: Faster and More Accurate Computation of the H∞ Norm via Optimization. SIAM Journal on Scientific Computing 40 (5), S. A3609 - A3635 (2018)
  24. 24.
    MPG.PuRe
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    Benner, P.; Qiu, Y.; Stoll, M.: Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems. SIAM/ASA Journal on Uncertainty Quantification 6 (2), S. 965 - 989 (2018)
  25. 25.
    MPG.PuRe
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    Benner, P.; Khoromskaia, V.; Khoromskij, B. N.: Range-Separated Tensor Format for Many-Particle Modeling. SIAM Journal on Scientific Computing 40 (2), S. A1034 - A1062 (2018)
  26. 26.
    MPG.PuRe
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    Benner, P.; Trautwein, C.: A Linear Quadratic Control Problem for the Stochastic Heat Equation Driven by Q-Wiener Processes. Journal of Mathematical Analysis and Applications 457 (1), S. 776 - 802 (2018)
  27. 27.
    MPG.PuRe
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    Benner, P.; Lowe, R.; Voigt, M.: L∞-Norm Computation for Large-Scale Descriptor Systems Using Structured Iterative Eigensolvers. Numerical Algebra, Control and Optimization 8 (1), S. 119 - 133 (2018)
  28. 28.
    MPG.PuRe
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    publisher-version
    External
    Zeitschriftenartikel
    Benner, P.; Himpe, C.; Mitchell, T.: On Reduced Input-Output Dynamic Mode Decomposition. Advances in Computational Mathematics 44 (6), S. 1751 - 1768 (2018)
  29. 29.
    MPG.PuRe
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    Benner, P.; Faßbender, H.; Yang, C.: Some Remarks on the Complex J-Symmetric Eigenproblem. Linear Algebra and Its Applications 544, S. 407 - 442 (2018)
  30. 30.
    MPG.PuRe
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    post-print
    Zeitschriftenartikel
    Freitag, M. A.; Kürschner, P.; Pestana, J.: GMRES Convergence Bounds for Eigenvalue Problems. Computational Methods in Applied Mathematics 18 (2), S. 203 - 222 (2018)
 
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