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Preprints

2018

MPIMD/ Download PDF
no preprints in 2018

2017

MPIMD/ Download PDF
@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 KienleGlobal Optimization of Distillation Columns using Surrogate Models.May 2017296K

2016

MPIMD/ Download PDF
@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 KohauptTrigonometric spline and spectral bounds for the solution of linear time-periodic systems.Jan. 2016941K
@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 BennerClustering-Based Model Order Reduction for Multi-Agent Systems with General Linear Time-Invariant Agents.Jan. 2016301K

2015

MPIMD/ Download PDF
@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 OhlbergerComparison of methods for parametric model order reduction of instationary problems.Feb. 2015901K
@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 FengModel Order Reduction for Coupled Problems.Feb. 20152.6M
@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 HeilandTime-dependent Dirichlet Conditions in Finite Element Discretizations.Mar. 2015612K
@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 StollA fractional inpainting model based on the vector-valued Cahn--Hilliard equation.Mar. 20152.4M
@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 StollBlock-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs.Apr. 2015958K
@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. WeicheltInexact low-rank Newton-ADI method for large-scale algebraic Riccati equations.May 2015467K
@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 BennerKrylov Subspace-based Model Reduction for a Class of Bilinear Descriptor Systems.May 2015455K
@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 HossainOn Model Reduction of Periodic Descriptor Systems Exploiting the Generalized Inverses of Periodic Matrix Pairs.Jul. 2015736K
@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 SaakFrequency-Limited Balanced Truncation with Low-Rank Approximations.Jul. 2015556K
@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 StollLow-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data.Jul. 20153.9M
@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 BennerAdaptive Discontinuous Galerkin Approximation of Optimal Control Problems Governed by Transient Convection-Diffusion Equations.Jul. 2015821K
@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 YangSome remarks on the complex J-symmetric eigenproblem.Jul. 2015324K
@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 YücelAdaptive Symmetric Interior Penalty Galerkin method for boundary control problems.Aug. 20153.3M
@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 YücelSymmetric Interior Penalty Galerkin Method For Fractional-In-Space Allen-Cahn Equations.Aug. 20152.2M
@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 StollLow-rank solutions to an optimization problem constrained by the Navier-Stokes equations.Sep. 2015640K
@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 GoyalMultipoint Interpolation of Volterra Series and ℋ₂-Model Reduction for a Family of Bilinear Descriptor Systems.Sep. 2015511K
@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 BennerSome a posteriori error bounds for reduced order modelling of (non-)parametrized linear systems.Oct. 2015616K
@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 HeilandMoment-Matching Based Model Reduction for Stokes-Type Quadratic-Bilinear Descriptor Systems.Oct. 2015825K
@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 StykelModel Order Reduction for Differential-Algebraic Equations: a Survey.Nov. 2015417K
@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 BennerAn ℋ₂-Type Error Bound for Balancing-Related Model Order Reduction of Linear Systems with L\'evy Noise.Dec. 2015387K
@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 BennerImplicit Volterra Series Interpolation for Model Reduction of Bilinear Systems.Dec. 2015380K
@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 BennerSingular Perturbation Approximation for Linear Systems with Levy Noise.Dec. 2015488K


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©2018, Max Planck Society, Munich
Jens Saak, saak@mpi-magdeburg.mpg.de
31 Mai 2017