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List of All Preprints

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@TECHREPORT{MPIMD10-01,
author = {Peter Benner, Thomas Mach},
title = {Computing all or some Eigenvalues of symmetric ℋ-Matrices},
number = {MPIMD/10-01},
month = nov,
year = 2010,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Thomas MachComputing all or some Eigenvalues of symmetric ℋ-Matrices.Nov. 2010346K
@TECHREPORT{MPIMD10-02,
author = {Peter Benner, Tobias Breiten, Tobias Damm},
title = {Generalized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear Systems},
number = {MPIMD/10-02},
month = dec,
year = 2010,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tobias Breiten, Tobias DammGeneralized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear Systems.Dec. 2010856K
@TECHREPORT{MPIMD11-01,
author = {Peter Benner, Thomas Mach},
title = {The Preconditioned Inverse Iteration for Hierarchical Matrices},
number = {MPIMD/11-01},
month = feb,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Thomas MachThe Preconditioned Inverse Iteration for Hierarchical Matrices.Feb. 2011287K
@TECHREPORT{MPIMD11-02,
author = {Peter Benner, Tobias Breiten},
title = {Interpolation-Based ℋ₂-Model Reduction of Bilinear Control Systems},
number = {MPIMD/11-02},
month = jun,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tobias BreitenInterpolation-Based ℋ₂-Model Reduction of Bilinear Control Systems.Jun. 2011514K
@TECHREPORT{MPIMD11-03,
author = {Martin Stoll, Andy Wathen},
title = {All-at-once solution of time-dependent Stokes control},
number = {MPIMD/11-03},
month = jun,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Martin Stoll, Andy WathenAll-at-once solution of time-dependent Stokes control.Jun. 2011507K
@TECHREPORT{MPIMD11-04,
author = {Martin Stoll},
title = {One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem},
number = {MPIMD/11-04},
month = jul,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Martin StollOne-shot solution of a time-dependent time-periodic PDE-constrained optimization problem.Jul. 20111M
@TECHREPORT{MPIMD11-05,
author = {John W. Pearson, Martin Stoll, Andy Wathen},
title = {Regularization-robust preconditioners for time-dependent PDE constrained optimization problems},
number = {MPIMD/11-05},
month = sep,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

John W. Pearson, Martin Stoll, Andy WathenRegularization-robust preconditioners for time-dependent PDE constrained optimization problems.Sep. 20111024K
@TECHREPORT{MPIMD11-06,
author = {Hermann Mena, Peter Benner},
title = {Rosenbrock methods for solving differential Riccati equations},
number = {MPIMD/11-06},
month = oct,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Hermann Mena, Peter BennerRosenbrock methods for solving differential Riccati equations.Oct. 2011303K
@TECHREPORT{MPIMD11-07,
author = {Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, Alfredo Remón},
title = {Solving Matrix Equations on Multi-core and Many-core Architectures},
number = {MPIMD/11-07},
month = oct,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, Alfredo RemónSolving Matrix Equations on Multi-core and Many-core Architectures.Oct. 2011216K
@TECHREPORT{MPIMD11-08,
author = {Peter Benner, Patrick Kürschner, Jens Saak},
title = {Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method},
number = {MPIMD/11-08},
month = oct,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Jens SaakEfficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method.Oct. 2011509K
@TECHREPORT{MPIMD11-09,
author = {Thomas Mach},
title = {Computing Inner Eigenvalues of Matrices in Tensor Train Matrix Format},
number = {MPIMD/11-09},
month = dec,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Thomas MachComputing Inner Eigenvalues of Matrices in Tensor Train Matrix Format.Dec. 2011126K
@TECHREPORT{MPIMD11-10,
author = {Peter Benner, Tobias Breiten},
title = {On optimality of interpolation-based low-rank approximations of large-scale matrix equations},
number = {MPIMD/11-10},
month = dec,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tobias BreitenOn optimality of interpolation-based low-rank approximations of large-scale matrix equations.Dec. 2011464K
@TECHREPORT{MPIMD11-11,
author = {Peter Benner, Martin Köhler, Jens Saak},
title = {Sparse-Dense Sylvester Equations in ℋ₂-Model Order Reduction},
number = {MPIMD/11-11},
month = dec,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Martin Köhler, Jens SaakSparse-Dense Sylvester Equations in ℋ₂-Model Order Reduction.Dec. 2011635K
@TECHREPORT{MPIMD11-12,
author = {Thomas Mach, Jens Saak},
title = {Towards an ADI iteration for Tensor Structured Equations},
number = {MPIMD/11-12},
month = dec,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Thomas Mach, Jens SaakTowards an ADI iteration for Tensor Structured Equations.Dec. 2011479K
@TECHREPORT{MPIMD11-13,
author = {Peter Benner, Patrick Kürschner, Jens Saak},
title = {Improved second-order balanced truncation for symmetric systems},
number = {MPIMD/11-13},
month = dec,
year = 2011,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Jens SaakImproved second-order balanced truncation for symmetric systems.Dec. 2011382K
@TECHREPORT{MPIMD12-01,
author = {Peter Benner, Patrick Kürschner, Jens Saak },
title = {A Goal-Oriented Dual LRCF-ADI for Balanced Truncation},
number = {MPIMD/12-01},
month = jan,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Jens Saak A Goal-Oriented Dual LRCF-ADI for Balanced Truncation.Jan. 2012409K
@TECHREPORT{MPIMD12-02,
author = {Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón},
title = {Matrix Inversion on CPU-GPU Platforms with Applications in Control Theory},
number = {MPIMD/12-02},
month = feb,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo RemónMatrix Inversion on CPU-GPU Platforms with Applications in Control Theory.Feb. 2012259K
@TECHREPORT{MPIMD12-03,
author = {Peter Benner, Tobias Breiten},
title = {Low rank methods for a class of generalized Lyapunov equations and related issues},
number = {MPIMD/12-03},
month = feb,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tobias BreitenLow rank methods for a class of generalized Lyapunov equations and related issues.Feb. 2012459K
@TECHREPORT{MPIMD12-04,
author = {Mohammad-Sahadet Hossain, Peter Benner},
title = {Projection-Based Model Reduction for Time-Varying Descriptor Systems: New Results},
number = {MPIMD/12-04},
month = feb,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Mohammad-Sahadet Hossain, Peter BennerProjection-Based Model Reduction for Time-Varying Descriptor Systems: New Results.Feb. 2012502K
@TECHREPORT{MPIMD12-05,
author = {Peter Benner, Thomas Mach},
title = {The LR Cholesky Algorithm for Symmetric Hierarchical Matrices},
number = {MPIMD/12-05},
month = feb,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Thomas MachThe LR Cholesky Algorithm for Symmetric Hierarchical Matrices.Feb. 2012541K
@TECHREPORT{MPIMD12-06,
author = {Tyrone Rees, Martin Stoll},
title = {A fast solver for an H1 regularized PDE-constrained optimization problem},
number = {MPIMD/12-06},
month = mar,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Tyrone Rees, Martin StollA fast solver for an H1 regularized PDE-constrained optimization problem.Mar. 20121.2M
@TECHREPORT{MPIMD12-07,
author = {Christine Nowakowski, Patrick Kürschner, Peter Eberhard, Peter Benner},
title = {Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations},
number = {MPIMD/12-07},
month = mar,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Christine Nowakowski, Patrick Kürschner, Peter Eberhard, Peter BennerModel Reduction of an Elastic Crankshaft for Elastic Multibody Simulations.Mar. 2012850K
@TECHREPORT{MPIMD12-08,
author = {Lihong Feng, Peter Benner, Jan G Korvink},
title = {Fast Parametric Macromodeling of MEMS using Subspace Recycling},
number = {MPIMD/12-08},
month = mar,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Lihong Feng, Peter Benner, Jan G KorvinkFast Parametric Macromodeling of MEMS using Subspace Recycling.Mar. 20127M
@TECHREPORT{MPIMD12-09,
author = {Peter Benner, Matthias Voigt},
title = {Spectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems},
number = {MPIMD/12-09},
month = apr,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Matthias VoigtSpectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems.Apr. 2012439K
@TECHREPORT{MPIMD12-10,
author = {Peter Benner, Matthias Voigt},
title = {A Structured Pseudospectral Method for H-Norm Computation of Large-Scale Descriptor Systems},
number = {MPIMD/12-10},
month = may,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Matthias VoigtA Structured Pseudospectral Method for H-Norm Computation of Large-Scale Descriptor Systems.May 2012362K
@TECHREPORT{MPIMD12-11,
author = {Peter Benner, Patrick Kürschner, Jens Saak},
title = {Real versions of low-rank ADI methods with complex shifts},
number = {MPIMD/12-11},
month = may,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Jens SaakReal versions of low-rank ADI methods with complex shifts.May 2012383K
@TECHREPORT{MPIMD12-12,
author = {Peter Benner, Tobias Breiten},
title = {Two-sided moment matching methods for nonlinear model reduction},
number = {MPIMD/12-12},
month = jun,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tobias BreitenTwo-sided moment matching methods for nonlinear model reduction.Jun. 2012951K
@TECHREPORT{MPIMD12-13,
author = {Peter Benner, Hermann Mena},
title = {Numerical solution of the Infinite-Dimensional LQR-Problem and the associated Differential Riccati Equations},
number = {MPIMD/12-13},
month = aug,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Hermann MenaNumerical solution of the Infinite-Dimensional LQR-Problem and the associated Differential Riccati Equations.Aug. 2012418K
@TECHREPORT{MPIMD12-14,
author = {Lihong Feng, Jan G. Korvink and Peter Benner},
title = {A Fully Adaptive Scheme for Model Order Reduction Based on Moment-matching},
number = {MPIMD/12-14},
month = sep,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Lihong Feng, Jan G. Korvink and Peter BennerA Fully Adaptive Scheme for Model Order Reduction Based on Moment-matching.Sep. 20125.9M
@TECHREPORT{MPIMD12-15,
author = {Peter Benner, Grece El Khoury, Miloud Sadkane},
title = {On the Squared Smith Method for Large-Scale Stein Equations},
number = {MPIMD/12-15},
month = sep,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Grece El Khoury, Miloud SadkaneOn the Squared Smith Method for Large-Scale Stein Equations.Sep. 2012316K
@TECHREPORT{MPIMD12-16,
author = {John W. Pearson, Martin Stoll},
title = {Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes},
number = {MPIMD/12-16},
month = sep,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

John W. Pearson, Martin StollFast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes.Sep. 20121M
@TECHREPORT{MPIMD12-17,
author = {Martin W. Hess, Peter Benner},
title = {Fast Evaluation of Time-Harmonic Maxwell's Equations Using the
Reduced Basis Method},
number = {MPIMD/12-17},
month = oct,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Martin W. Hess, Peter BennerFast Evaluation of Time-Harmonic Maxwell's Equations Using the
Reduced Basis Method.
Oct. 2012
750K
@TECHREPORT{MPIMD12-18,
author = {Sara Grundel, Michael Overton},
title = {Variational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple Eigenvalue},
number = {MPIMD/12-18},
month = oct,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Sara Grundel, Michael OvertonVariational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple Eigenvalue.Oct. 2012265K
@TECHREPORT{MPIMD12-19,
author = {Peter Benner, Jens Saak, Friedhelm Schieweck, Piotr Skrzypacz, Heiko K. Weichelt },
title = {A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the Stokes Equations },
number = {MPIMD/12-19},
month = oct,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Jens Saak, Friedhelm Schieweck, Piotr Skrzypacz, Heiko K. Weichelt A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the Stokes Equations .Oct. 2012854K
@TECHREPORT{MPIMD12-20,
author = {Peter Benner, Patrick Kürschner, Jens Saak},
title = {An Improved Numerical Method for Balanced Truncation for Symmetric Second Order Systems},
number = {MPIMD/12-20},
month = nov,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Jens SaakAn Improved Numerical Method for Balanced Truncation for Symmetric Second Order Systems.Nov. 2012543K
@TECHREPORT{MPIMD12-21,
author = {Henning Biermann, Sara Grundel, Denis Zorin},
title = {Subdivision schemes for surfaces with boundaries},
number = {MPIMD/12-21},
month = dec,
year = 2012,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Henning Biermann, Sara Grundel, Denis ZorinSubdivision schemes for surfaces with boundaries.Dec. 2012462K
@TECHREPORT{MPIMD13-01,
author = {Jessica Bosch, Martin Stoll, Peter Benner},
title = {Fast solution of Cahn-Hilliard Variational Inequalities using Implicit Time Discretization and Finite Elements},
number = {MPIMD/13-01},
month = jan,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Jessica Bosch, Martin Stoll, Peter BennerFast solution of Cahn-Hilliard Variational Inequalities using Implicit Time Discretization and Finite Elements.Jan. 20131.9M
@TECHREPORT{MPIMD13-02,
author = {Xin Du, Peter Benner, Guanghong Yang, Dan Ye},
title = {Balanced Truncation of Linear Time-Invariant Systems at a Single Frequency},
number = {MPIMD/13-02},
month = jan,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Xin Du, Peter Benner, Guanghong Yang, Dan YeBalanced Truncation of Linear Time-Invariant Systems at a Single Frequency.Jan. 20131.2M
@TECHREPORT{MPIMD13-03,
author = {Hamdullah Yücel, Martin Stoll, Peter Benner},
title = {Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models},
number = {MPIMD/13-03},
month = jan,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Hamdullah Yücel, Martin Stoll, Peter BennerDiscontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models.Jan. 20131.4M
@TECHREPORT{MPIMD13-04,
author = {Melina Freitag, Patrick Kürschner},
title = {Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration},
number = {MPIMD/13-04},
month = apr,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Melina Freitag, Patrick KürschnerTuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration.Apr. 2013573K
@TECHREPORT{MPIMD13-05,
author = {Peter Benner, Patrick Kürschner},
title = {Computing Real Low-rank Solutions of Sylvester equations by the Factored ADI Method},
number = {MPIMD/13-05},
month = may,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick KürschnerComputing Real Low-rank Solutions of Sylvester equations by the Factored ADI Method.May 2013615K
@TECHREPORT{MPIMD13-06,
author = {Peter Benner, Tatjana Stykel},
title = {Numerical Solution of Projected Algebraic Riccati Equations},
number = {MPIMD/13-06},
month = may,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tatjana StykelNumerical Solution of Projected Algebraic Riccati Equations.May 2013291K
@TECHREPORT{MPIMD13-07,
author = {Peter Benner, Jens Saak},
title = {Numerical Solution of Large and Sparse Continuous Time Algebraic Matrix Riccati and Lyapunov Equations: A State of the Art Survey },
number = {MPIMD/13-07},
month = jun,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Jens SaakNumerical Solution of Large and Sparse Continuous Time Algebraic Matrix Riccati and Lyapunov Equations: A State of the Art Survey .Jun. 2013378K
@TECHREPORT{MPIMD13-08,
author = {Martin Stoll, Tobias Breiten},
title = {A low-rank in time approach to PDE-constrained optimization},
number = {MPIMD/13-08},
month = jun,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Martin Stoll, Tobias BreitenA low-rank in time approach to PDE-constrained optimization.Jun. 20131M
@TECHREPORT{MPIMD13-09,
author = {Sara Grundel, Lennart Jansen, Nils Hornung, Tanja Clees, Caren Tischendorf, Peter Benner},
title = {Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks},
number = {MPIMD/13-09},
month = jun,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Sara Grundel, Lennart Jansen, Nils Hornung, Tanja Clees, Caren Tischendorf, Peter BennerModel Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks.Jun. 2013317K
@TECHREPORT{MPIMD13-10,
author = {Hamdullah Yücel, Martin Stoll, Peter Benner},
title = {A Discontinous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction Terms},
number = {MPIMD/13-10},
month = jul,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Hamdullah Yücel, Martin Stoll, Peter BennerA Discontinous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction Terms.Jul. 20131005K
@TECHREPORT{MPIMD13-11,
author = {Peter Benner, Vasile Sima, Matthias Voigt},
title = {FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part I: Algorithms and Applications},
number = {MPIMD/13-11},
month = jul,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Vasile Sima, Matthias VoigtFORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part I: Algorithms and Applications.Jul. 2013336K
@TECHREPORT{MPIMD13-12,
author = {Peter Benner, Vasile Sima, Matthias Voigt},
title = {FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part II: Implementation and Numerical Results},
number = {MPIMD/13-12},
month = jul,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Vasile Sima, Matthias VoigtFORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part II: Implementation and Numerical Results.Jul. 2013649K
@TECHREPORT{MPIMD13-13,
author = {Peter Benner, Akwum Onwunta, Martin Stoll},
title = {Low Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients},
number = {MPIMD/13-13},
month = aug,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Akwum Onwunta, Martin StollLow Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients.Aug. 2013460K
@TECHREPORT{MPIMD13-14,
author = {Peter Benner, Serkan Gugercin, Karen Willcox},
title = {A Survey of Model Reduction Methods for Parametric Systems},
number = {MPIMD/13-14},
month = aug,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Serkan Gugercin, Karen WillcoxA Survey of Model Reduction Methods for Parametric Systems.Aug. 2013528K
@TECHREPORT{MPIMD13-15,
author = {Tobias Breiten, Christopher Beattie, Serkan Gugercin},
title = {Near-optimal frequency-weighted interpolatory model reduction},
number = {MPIMD/13-15},
month = aug,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Tobias Breiten, Christopher Beattie, Serkan GugercinNear-optimal frequency-weighted interpolatory model reduction.Aug. 2013973K
@TECHREPORT{MPIMD13-16,
author = {Hamdullah Yücel, Peter Benner},
title = {Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations},
number = {MPIMD/13-16},
month = sep,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Hamdullah Yücel, Peter BennerAdaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations.Sep. 20131.1M
@TECHREPORT{MPIMD13-17,
author = {Peter Benner, André Schneider},
title = {Balanced Truncation for Descriptor Systems with Many Terminals},
number = {MPIMD/13-17},
month = oct,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, André SchneiderBalanced Truncation for Descriptor Systems with Many Terminals.Oct. 2013283K
@TECHREPORT{MPIMD13-18,
author = {Peter Benner, Patrick Kürschner, Jens Saak},
title = {Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations},
number = {MPIMD/13-18},
month = oct,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Jens SaakSelf-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations.Oct. 2013584K
@TECHREPORT{MPIMD13-19,
author = {Peter Benner, Judith Schneider},
title = {Uncertainty Quantification for Maxwell\'s Equations Using Stochastic Collocation and Model Order Reduction},
number = {MPIMD/13-19},
month = oct,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Judith SchneiderUncertainty Quantification for Maxwell\'s Equations Using Stochastic Collocation and Model Order Reduction.Oct. 20131.1M
@TECHREPORT{MPIMD13-20,
author = {Ryan Lowe, Matthias Voigt},
title = {L-Norm Computation for Large-Scale Descriptor Systems Using Structured Iterative Eigensolvers},
number = {MPIMD/13-20},
month = oct,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Ryan Lowe, Matthias VoigtL-Norm Computation for Large-Scale Descriptor Systems Using Structured Iterative Eigensolvers.Oct. 2013220K
@TECHREPORT{MPIMD13-21,
author = {Kapil Ahuja, Eric de Sturler, Lihong Feng, Peter Benner},
title = {Recycling BiCGSTAB with an Application to Parametric Model Order Reduction},
number = {MPIMD/13-21},
month = nov,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Kapil Ahuja, Eric de Sturler, Lihong Feng, Peter BennerRecycling BiCGSTAB with an Application to Parametric Model Order Reduction.Nov. 2013286K
@TECHREPORT{MPIMD13-22,
author = { Björn Baran, Martin Köhler, Nitin Prasad, Jens Saak},
title = {Interfacing C-M.E.S.S. with Python},
number = {MPIMD/13-22},
month = nov,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Björn Baran, Martin Köhler, Nitin Prasad, Jens SaakInterfacing C-M.E.S.S. with Python.Nov. 2013386K
@TECHREPORT{MPIMD13-23,
author = {Peter Benner, Tobias Breiten},
title = {Rational Interpolation Methods for Symmetric Sylvester Equations},
number = {MPIMD/13-23},
month = dec,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tobias BreitenRational Interpolation Methods for Symmetric Sylvester Equations.Dec. 2013819K
@TECHREPORT{MPIMD13-24,
author = {Peter Benner, Philip Losse, Volker Mehrmann, Matthias Voigt},
title = {Numerical Solution of Eigenvalue Problems for Alternating Matrix Polynomials and Their Application in Control Problems for Descriptor Systems},
number = {MPIMD/13-24},
month = dec,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Philip Losse, Volker Mehrmann, Matthias VoigtNumerical Solution of Eigenvalue Problems for Alternating Matrix Polynomials and Their Application in Control Problems for Descriptor Systems.Dec. 20131M
@TECHREPORT{MPIMD14-01,
author = {Peter Benner, Sara Grundel, Nils Hornung},
title = {Parametric Model Order Reduction with a Small ℋ₂-Error Using Radial Basis Functions},
number = {MPIMD/14-01},
month = jan,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Sara Grundel, Nils HornungParametric Model Order Reduction with a Small ℋ₂-Error Using Radial Basis Functions.Jan. 2014370K
@TECHREPORT{MPIMD14-02,
author = {Tobias Breiten, Valeria Simoncini, Martin Stoll},
title = {Fast iterative solvers for fractional differential equations},
number = {MPIMD/14-02},
month = jan,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Tobias Breiten, Valeria Simoncini, Martin StollFast iterative solvers for fractional differential equations.Jan. 20141.3M
@TECHREPORT{MPIMD14-03,
author = {Martin Redmann, Peter Benner},
title = {Model Reduction for Stochastic Systems},
number = {MPIMD/14-03},
month = feb,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Martin Redmann, Peter BennerModel Reduction for Stochastic Systems.Feb. 2014523K
@TECHREPORT{MPIMD14-04,
author = {Peter Benner, Jan Heiland},
title = {LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows},
number = {MPIMD/14-04},
month = mar,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Jan HeilandLQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows.Mar. 20141013K
@TECHREPORT{MPIMD14-05,
author = {Peter Benner, Sara Grundel},
title = {Model Order Reduction for a family of linear systems with application in parametric and uncertain systems},
number = {MPIMD/14-05},
month = mar,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Sara GrundelModel Order Reduction for a family of linear systems with application in parametric and uncertain systems.Mar. 2014316K
@TECHREPORT{MPIMD14-06,
author = {Peter Benner, Steffen Börm, Thomas Mach, Knut Reimer},
title = {Computing the Eigenvalues of Symmetric H2-Matrices by Slicing the Spectrum},
number = {MPIMD/14-06},
month = mar,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Steffen Börm, Thomas Mach, Knut ReimerComputing the Eigenvalues of Symmetric H2-Matrices by Slicing the Spectrum.Mar. 2014335K
@TECHREPORT{MPIMD14-07,
author = {Ulrike Baur, Peter Benner, Lihong Feng},
title = {Model order reduction for linear and nonlinear systems: a system-theoretic perspective},
number = {MPIMD/14-07},
month = mar,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Ulrike Baur, Peter Benner, Lihong FengModel order reduction for linear and nonlinear systems: a system-theoretic perspective.Mar. 20141M
@TECHREPORT{MPIMD14-08,
author = {Peter Benner, Hermann Mena, René Schneider},
title = {Modeling Glyphosate Aerial Spray Drift at the Ecuador-Colombia Border},
number = {MPIMD/14-08},
month = apr,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Hermann Mena, René SchneiderModeling Glyphosate Aerial Spray Drift at the Ecuador-Colombia Border.Apr. 20143.3M
@TECHREPORT{MPIMD14-09,
author = {Yongjin Zhang, Lihong Feng, Suzhou Li, Peter Benner},
title = {Accelerating PDE constrained optimization by the reduced basis method: application to batch chromatography},
number = {MPIMD/14-09},
month = may,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Yongjin Zhang, Lihong Feng, Suzhou Li, Peter BennerAccelerating PDE constrained optimization by the reduced basis method: application to batch chromatography.May 2014810K
@TECHREPORT{MPIMD14-10,
author = {Jessica Bosch,, Martin Stoll},
title = {Preconditioning for vector-valued Cahn--Hilliard equations},
number = {MPIMD/14-10},
month = jun,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Jessica Bosch,, Martin StollPreconditioning for vector-valued Cahn--Hilliard equations.Jun. 2014814K
@TECHREPORT{MPIMD14-11,
author = {Peter Benner, Tobias Damm, Martin Redmann, Yolanda Rocio Rodriguez Cruz},
title = {Positive Operators and Stable Truncation},
number = {MPIMD/14-11},
month = jul,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Tobias Damm, Martin Redmann, Yolanda Rocio Rodriguez CruzPositive Operators and Stable Truncation.Jul. 2014321K
@TECHREPORT{MPIMD14-12,
author = {Peter Benner, Patrick Kürschner, Zoran Tomljanović, Ninoslav Truhar},
title = {Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm},
number = {MPIMD/14-12},
month = jul,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Zoran Tomljanović, Ninoslav TruharSemi-active damping optimization of vibrational systems using the parametric dominant pole algorithm.Jul. 2014359K
@TECHREPORT{MPIMD14-13,
author = {Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Orti, Alfredo Remon},
title = {Extending Lyapack to the Solution of Band Lyapunov Equations on Hybrid CPU-GPU Platforms},
number = {MPIMD/14-13},
month = jul,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Orti, Alfredo RemonExtending Lyapack to the Solution of Band Lyapunov Equations on Hybrid CPU-GPU Platforms.Jul. 2014203K
@TECHREPORT{MPIMD14-14,
author = {Norman Lang, Hermann Mena, Jens Saak},
title = {On the benefits of the LDLT factorization for large-scale differential matrix equation solvers},
number = {MPIMD/14-14},
month = jul,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Norman Lang, Hermann Mena, Jens SaakOn the benefits of the LDLT factorization for large-scale differential matrix equation solvers.Jul. 2014494K
@TECHREPORT{MPIMD14-15,
author = {Peter Benner, Zvonimir Bujanović},
title = {On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces},
number = {MPIMD/14-15},
month = aug,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Zvonimir BujanovićOn the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces.Aug. 2014583K
@TECHREPORT{MPIMD14-16,
author = {Martin Redmann, Peter Benner},
title = {Approximation and Model Order Reduction for Second Order Systems with Levy-Noise},
number = {MPIMD/14-16},
month = sep,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Martin Redmann, Peter BennerApproximation and Model Order Reduction for Second Order Systems with Levy-Noise.Sep. 2014402K
@TECHREPORT{MPIMD14-17,
author = {Martin Köhler, Jens Saak},
title = {On GPU Acceleration of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations},
number = {MPIMD/14-17},
month = oct,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Martin Köhler, Jens SaakOn GPU Acceleration of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations.Oct. 2014418K
@TECHREPORT{MPIMD14-18,
author = {Christopher Beattie, Peter Benner},
title = {ℋ₂-Optimality Conditions for Structured Dynamical Systems},
number = {MPIMD/14-18},
month = oct,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Christopher Beattie, Peter Bennerℋ₂-Optimality Conditions for Structured Dynamical Systems.Oct. 2014418K
@TECHREPORT{MPIMD14-19,
author = {Martin Hess, Sara Grundel, Peter Benner},
title = {Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell\'s Equations},
number = {MPIMD/14-19},
month = nov,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Martin Hess, Sara Grundel, Peter BennerEstimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell\'s Equations.Nov. 2014487K
@TECHREPORT{MPIMD14-20,
author = {Peter Benner, Jens Saak, M. Monir Uddin},
title = {Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control },
number = {MPIMD/14-20},
month = nov,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Jens Saak, M. Monir UddinBalancing based model reduction for structured index-2 unstable descriptor systems with application to flow control .Nov. 2014572K
@TECHREPORT{MPIMD14-21,
author = {Peter Benner, Patrick Kürschner, Jens Saak},
title = {Low-Rank Newton-ADI methods for Large Nonsymmetric Algebraic Riccati Equations},
number = {MPIMD/14-21},
month = nov,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Patrick Kürschner, Jens SaakLow-Rank Newton-ADI methods for Large Nonsymmetric Algebraic Riccati Equations.Nov. 2014424K
@TECHREPORT{MPIMD14-22,
author = {Yongjin Zhang, Lihong Feng, Suzhou Li, Peter Benner},
title = {An efficient output error bound for model order reduction of parametrized evolution equations},
number = {MPIMD/14-22},
month = dec,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Yongjin Zhang, Lihong Feng, Suzhou Li, Peter BennerAn efficient output error bound for model order reduction of parametrized evolution equations.Dec. 20141.1M
@TECHREPORT{MPIMD14-23,
author = {Peter Benner, Jens Saak, M. Monir Uddin},
title = {Structure Preserving MOR for Large Sparse Second Order Index-1 Systems and Application to a Mechatronic Model},
number = {MPIMD/14-23},
month = dec,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Peter Benner, Jens Saak, M. Monir UddinStructure Preserving MOR for Large Sparse Second Order Index-1 Systems and Application to a Mechatronic Model.Dec. 2014633K
@TECHREPORT{MPIMD14-24,
author = {Julie Eaton, Sara Grundel, Mert Gürbüzbalaban, Michael Overton},
title = {Polynomial Root Radius Optimization with Affine Constraints},
number = {MPIMD/14-24},
month = dec,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Julie Eaton, Sara Grundel, Mert Gürbüzbalaban, Michael OvertonPolynomial Root Radius Optimization with Affine Constraints.Dec. 2014414K
@TECHREPORT{MPIMD14-25,
author = {Sergey Dolgov, John W. Pearson, Dmitry V. Savostyanov, Martin Stoll},
title = {Fast tensor product solvers for optimization problems with fractional differential equations as constraints},
number = {MPIMD/14-25},
month = dec,
year = 2014,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}

Sergey Dolgov, John W. Pearson, Dmitry V. Savostyanov, Martin StollFast tensor product solvers for optimization problems with fractional differential equations as constraints.Dec. 20142.2M
@TECHREPORT{MPIMD15-01,
author = {Ulrike Baur, Peter Benner, Bernard Haasdonk, Christian Himpe, Immanuel Maier, 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, 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, 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, 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, Akwum Onwunta, 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, Matthias Heinkenschloss, Jens Saak, 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, Mian Ilyas Ahmad, 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, 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, Patrick Kürschner, 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, Sergey Dolgov, 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, Martin Stoll, 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, Heike Faßbender, 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, 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, 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, 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, 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, Athanasios C. Antoulas, 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, Peter Benner, Pawan Goyal, 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, 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, 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, Ulrike Baur, 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, 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
@TECHREPORT{MPIMD16-01,
author = {Peter Benner, Jonas Denißen, 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, Sara Grundel, 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
@TECHREPORT{MPIMD17-01,
author = {Tobias Keßler, Christian Kunde, Nick Mertens, Dennis Michaels, 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

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