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@TECHREPORT{MPIMD17-01, author = {Tobias Keßler and Christian Kunde and Nick Mertens and Dennis Michaels and Achim Kienle}, title = {Global Optimization of Distillation Columns using Surrogate Models}, number = {MPIMD/17-01}, month = may, year = 2017, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Tobias Keßler, Christian Kunde, Nick Mertens, Dennis Michaels, Achim Kienle | Global Optimization of Distillation Columns using Surrogate Models.May 2017 | 296K |
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@TECHREPORT{MPIMD16-01, author = {Peter Benner and Jonas Denißen and Ludwig Kohaupt}, title = {Trigonometric spline and spectral bounds for the solution of linear time-periodic systems}, number = {MPIMD/16-01}, month = jan, year = 2016, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Jonas Denißen, Ludwig Kohaupt | Trigonometric spline and spectral bounds for the solution of linear time-periodic systems.Jan. 2016 | 941K |
@TECHREPORT{MPIMD16-02, author = {Petar Mlinarić and Sara Grundel and Peter Benner}, title = {Clustering-Based Model Order Reduction for Multi-Agent Systems with General Linear Time-Invariant Agents}, number = {MPIMD/16-02}, month = jan, year = 2016, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Petar Mlinarić, Sara Grundel, Peter Benner | Clustering-Based Model Order Reduction for Multi-Agent Systems with General Linear Time-Invariant Agents.Jan. 2016 | 301K |
MPIMD/ | Download PDF | ||
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@TECHREPORT{MPIMD15-01, author = {Ulrike Baur and Peter Benner and Bernard Haasdonk and Christian Himpe and Immanuel Maier and Mario Ohlberger}, title = {Comparison of methods for parametric model order reduction of instationary problems}, number = {MPIMD/15-01}, month = feb, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Ulrike Baur, Peter Benner, Bernard Haasdonk, Christian Himpe, Immanuel Maier, Mario Ohlberger | Comparison of methods for parametric model order reduction of instationary problems.Feb. 2015 | 901K |
@TECHREPORT{MPIMD15-02, author = {Peter Benner and Lihong Feng}, title = {Model Order Reduction for Coupled Problems}, number = {MPIMD/15-02}, month = feb, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Lihong Feng | Model Order Reduction for Coupled Problems.Feb. 2015 | 2.6M |
@TECHREPORT{MPIMD15-03, author = {Peter Benner and Jan Heiland}, title = {Time-dependent Dirichlet Conditions in Finite Element Discretizations}, number = {MPIMD/15-03}, month = mar, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Jan Heiland | Time-dependent Dirichlet Conditions in Finite Element Discretizations.Mar. 2015 | 612K |
@TECHREPORT{MPIMD15-04, author = {Jessica Bosch and Martin Stoll}, title = {A fractional inpainting model based on the vector-valued Cahn--Hilliard equation}, number = {MPIMD/15-04}, month = mar, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Jessica Bosch, Martin Stoll | A fractional inpainting model based on the vector-valued Cahn--Hilliard equation.Mar. 2015 | 2.4M |
@TECHREPORT{MPIMD15-05, author = {Peter Benner and Akwum Onwunta and Martin Stoll}, title = {Block-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs}, number = {MPIMD/15-05}, month = apr, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Akwum Onwunta, Martin Stoll | Block-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs.Apr. 2015 | 958K |
@TECHREPORT{MPIMD15-06, author = {Peter Benner and Matthias Heinkenschloss and Jens Saak and Heiko K. Weichelt}, title = {Inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations}, number = {MPIMD/15-06}, month = may, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Matthias Heinkenschloss, Jens Saak, Heiko K. Weichelt | Inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations.May 2015 | 467K |
@TECHREPORT{MPIMD15-07, author = {Pawan Goyal and Mian Ilyas Ahmad and Peter Benner}, title = {Krylov Subspace-based Model Reduction for a Class of Bilinear Descriptor Systems}, number = {MPIMD/15-07}, month = may, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Pawan Goyal, Mian Ilyas Ahmad, Peter Benner | Krylov Subspace-based Model Reduction for a Class of Bilinear Descriptor Systems.May 2015 | 455K |
@TECHREPORT{MPIMD15-08, author = {Peter Benner and Mohammad-Sahadet Hossain}, title = {On Model Reduction of Periodic Descriptor Systems Exploiting the Generalized Inverses of Periodic Matrix Pairs}, number = {MPIMD/15-08}, month = jul, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Mohammad-Sahadet Hossain | On Model Reduction of Periodic Descriptor Systems Exploiting the Generalized Inverses of Periodic Matrix Pairs.Jul. 2015 | 736K |
@TECHREPORT{MPIMD15-09, author = {Peter Benner and Patrick Kürschner and Jens Saak}, title = {Frequency-Limited Balanced Truncation with Low-Rank Approximations}, number = {MPIMD/15-09}, month = jul, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Patrick Kürschner, Jens Saak | Frequency-Limited Balanced Truncation with Low-Rank Approximations.Jul. 2015 | 556K |
@TECHREPORT{MPIMD15-10, author = {Peter Benner and Sergey Dolgov and Akwum Onwunta and Martin Stoll}, title = {Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data}, number = {MPIMD/15-10}, month = jul, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Sergey Dolgov, Akwum Onwunta and Martin Stoll | Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data.Jul. 2015 | 3.9M |
@TECHREPORT{MPIMD15-11, author = {Hamdullah Yücel and Martin Stoll and Peter Benner}, title = {Adaptive Discontinuous Galerkin Approximation of Optimal Control Problems Governed by Transient Convection-Diffusion Equations}, number = {MPIMD/15-11}, month = jul, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Hamdullah Yücel, Martin Stoll, Peter Benner | Adaptive Discontinuous Galerkin Approximation of Optimal Control Problems Governed by Transient Convection-Diffusion Equations.Jul. 2015 | 821K |
@TECHREPORT{MPIMD15-12, author = {Peter Benner and Heike Faßbender and Chao Yang}, title = {Some remarks on the complex J-symmetric eigenproblem}, number = {MPIMD/15-12}, month = jul, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Heike Faßbender, Chao Yang | Some remarks on the complex J-symmetric eigenproblem.Jul. 2015 | 324K |
@TECHREPORT{MPIMD15-13, author = {Peter Benner and Hamdullah Yücel}, title = {Adaptive Symmetric Interior Penalty Galerkin method for boundary control problems}, number = {MPIMD/15-13}, month = aug, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Hamdullah Yücel | Adaptive Symmetric Interior Penalty Galerkin method for boundary control problems.Aug. 2015 | 3.3M |
@TECHREPORT{MPIMD15-14, author = {Martin Stoll and Hamdullah Yücel}, title = {Symmetric Interior Penalty Galerkin Method For Fractional-In-Space Allen-Cahn Equations}, number = {MPIMD/15-14}, month = aug, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Martin Stoll, Hamdullah Yücel | Symmetric Interior Penalty Galerkin Method For Fractional-In-Space Allen-Cahn Equations.Aug. 2015 | 2.2M |
@TECHREPORT{MPIMD15-15, author = {Sergey Dolgov and Martin Stoll}, title = {Low-rank solutions to an optimization problem constrained by the Navier-Stokes equations}, number = {MPIMD/15-15}, month = sep, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Sergey Dolgov, Martin Stoll | Low-rank solutions to an optimization problem constrained by the Navier-Stokes equations.Sep. 2015 | 640K |
@TECHREPORT{MPIMD15-16, author = {Peter Benner and Pawan Goyal}, title = {Multipoint Interpolation of Volterra Series and ℋ₂-Model Reduction for a Family of Bilinear Descriptor Systems}, number = {MPIMD/15-16}, month = sep, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Pawan Goyal | Multipoint Interpolation of Volterra Series and ℋ₂-Model Reduction for a Family of Bilinear Descriptor Systems.Sep. 2015 | 511K |
@TECHREPORT{MPIMD15-17, author = {Lihong Feng and Athanasios C. Antoulas and Peter Benner}, title = {Some a posteriori error bounds for reduced order modelling of (non-)parametrized linear systems}, number = {MPIMD/15-17}, month = oct, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Lihong Feng, Athanasios C. Antoulas, Peter Benner | Some a posteriori error bounds for reduced order modelling of (non-)parametrized linear systems.Oct. 2015 | 616K |
@TECHREPORT{MPIMD15-18, author = {Mian Ilyas Ahmad and Peter Benner and Pawan Goyal and Jan Heiland}, title = {Moment-Matching Based Model Reduction for Stokes-Type Quadratic-Bilinear Descriptor Systems}, number = {MPIMD/15-18}, month = oct, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Mian Ilyas Ahmad, Peter Benner, Pawan Goyal, Jan Heiland | Moment-Matching Based Model Reduction for Stokes-Type Quadratic-Bilinear Descriptor Systems.Oct. 2015 | 825K |
@TECHREPORT{MPIMD15-19, author = {Peter Benner and Tatjana Stykel}, title = {Model Order Reduction for Differential-Algebraic Equations: a Survey}, number = {MPIMD/15-19}, month = nov, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Peter Benner, Tatjana Stykel | Model Order Reduction for Differential-Algebraic Equations: a Survey.Nov. 2015 | 417K |
@TECHREPORT{MPIMD15-20, author = {Martin Redmann and Peter Benner}, title = {An ℋ₂-Type Error Bound for Balancing-Related Model Order Reduction of Linear Systems with L\'evy Noise}, number = {MPIMD/15-20}, month = dec, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Martin Redmann, Peter Benner | An ℋ₂-Type Error Bound for Balancing-Related Model Order Reduction of Linear Systems with L\'evy Noise.Dec. 2015 | 387K |
@TECHREPORT{MPIMD15-21, author = {Mian Ilyas Ahmad and Ulrike Baur and Peter Benner}, title = {Implicit Volterra Series Interpolation for Model Reduction of Bilinear Systems}, number = {MPIMD/15-21}, month = dec, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Mian Ilyas Ahmad, Ulrike Baur, Peter Benner | Implicit Volterra Series Interpolation for Model Reduction of Bilinear Systems.Dec. 2015 | 380K |
@TECHREPORT{MPIMD15-22, author = {Martin Redmann and Peter Benner}, title = {Singular Perturbation Approximation for Linear Systems with Levy Noise}, number = {MPIMD/15-22}, month = dec, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}}, } |
Martin Redmann, Peter Benner | Singular Perturbation Approximation for Linear Systems with Levy Noise.Dec. 2015 | 488K |