News of the Research Group Computational Methods in Systems and Control Theory
News (partly german)
CSC News: Mathematician Kang-Li Xu conducts research in Magdeburg supported by an Alexander von Humboldt Fellowship
Software: pyMOR 2023.2.0 release
CSC News: Sridhar Chellappa awarded Best Doctoral Student of the Faculty of Mathematics
Software: MORLAB - Model Order Reduction LABoratory 6.0
CSC News: Poster Award for Shaimaa Monem Abdelhafez at ACM SIGGRAPH
Software: pyMOR 2023.1.0 release
Events: Group Retreat
Software: libufget release 1.3
Software: pyMOR 2022.2.1 bugfix release
Events: NFDI@MPG
CSC News: Student/Research Assistant (m/f/d) | Computational methods in systems and control theory
Software: pyMOR 2022.2.0 release
Software: pyMOR 2022.1.1 release
Software: pyMOR 2022.1.0 release
New appointments: External PhD representative elections 2022
Paper: Discovery of nonlinear dynamical systems
Events: 1st MaRDI Workshop on Scientific Computing
CSC News: ACM Turing Award Honors Jack Dongarra
Events: 3rd Workshop on Optimal Control of Dynamical Systems and applications
Software: pyMOR 2021.2.0 release
Software: pyMOR 2021.1.0 release
CSC News: We are hiring!
Paper: Structure-preserving interpolation for model reduction of parametric bilinear systems
Paper: MODEL ORDER REDUCTION METHODS FOR COUPLED MACHINE TOOL MODELS
New appointments: A. Zuyev has been elected as Corresponding Member of the "Department of Mathematics" of the National Academy of Sciences of Ukraine
CSC News: AI-Extension for Mechthild
Software: pyMOR 2020.2.2 release
Preprint: Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approach
Paper: Learning Reduced order Dynamics for Parametrized Shallow Water Equations from Data
Paper: Frequency- and time-limited balanced truncation for large-scale second-order systems
Software: M-M.E.S.S.-2.1: New feature release
Events: BiGmax Workshop on Big-Data-Driven Materials Science
Preprint: Optimization-based parametric model order reduction via H2⊗L2 first-order necessary conditions
CSC News: DAAD PPP Accelerated solution of optimal damping problems
New appointments: Dr. Igor Pontes Duff appointed as team leader of SDS - Structured Dynamical Systems Group
New appointments: Dr. Pawan Goyal appointed as team leader of MLDS Machine Learning for Dynamical Systems Group
Software: pyMOR 2020.2.0 release
Software: pyMOR 2020.1.2 release
Software: pyMOR 2020.1.1 release
Paper: Best Paper Award for Jens Saak and Steffen Werner
Events: PACO 2019 - Workshop on Power-Aware Computing
Events: CSC participates in SIAM CSE19
Preprint: The projected Newton-Kleinman method for the algebraic Riccati equation
Preprint: A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations
Events: Peter Benner besucht ICES
Events: IPAM Workshop "HPC and Data Science for Scientific Discovery"
Paper: Hierarchical Approximate Proper Orthogonal Decomposition
Preprint: Inexact methods for the low rank solution to large scale Lyapunov equations
Events: 5th European Conference on Computational Optimization (EUCCO)
Software: M.E.S.S. now available also in C, Python and via MEX for Matlab.
CSC News:
New appointments: W1-Junior Professorship Numerical Methods for Descriptor Systems" for Jan Heiland
Events: BigMax Workshop 2018 on Big-Data-Driven Materials Science
Events: MoRePaS 2018 - Model Reduction of Parametrized Systems IV
Events: Peter Benner speaks at NYU and Temple University seminars
New appointments: Petar Mlinaric appointed as GAMM Junior
Software: MORLAB 3.0
CSC News: MaxNet on Big-Data-Driven Materials Science
Preprint: Balanced truncation model order reduction in limited time intervals for large systems
Events: METT VII - 7th Workshop on Matrix Equations and Tensor Techniques
Events: 3rd Workshop on Model Reduction for Complex Dynamical Systems
CSC News: Peter Benner appointed to ETNA Editorial Board
Preprint: Combined Error Estimates for Local Fluctuations of SPDEs
CSC News: Peter Benner appointed to the editorial board of ACOM
Paper: ISI Highly Cited Paper
Paper: Best practices for replicability, reproducibility and reusability of computer-based experiments exemplified by model reduction software
Events: Chinese-German Workshop "Modelling, Model Reduction, and Optimization of Flows"
Events: 20th Conference of the International Linear Algebra Society (ILAS)
Preprint: Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software
Paper: Energy-Aware Solution of Linear Systems with Many Right Hand Sides
Events: ECCOMAS Congress 2016
CSC News: New Book: Index-aware Model Order Reduction Methods
Events: Open Access Day
CSC News: Former CSC PostDoc and Ph.D. student of P. Benner featured in Science Career
Preprint: Balanced truncation model reduction for linear time-varying systems
Preprint: A low-rank quadratic ADI algorithm for algebraic Riccati equations
Events: Third Workshop on Model Reduction of Parametrized Systems
New Paper: Optimal control and its application to inverse problems.
Events: Workshop and meeting of GAMM activity group "Applied and Numerical Linear Algebra"
Preprint: Inexact Low-Rank Newton-ADI Method for Large-Scale Algebraic Riccati Equations
Events: Conference: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
CSC News: Matthias Voigt's PhD Defense
New Paper: Riccati-based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flows
New Paper: Optimal control and its application to inverse problems.
CSC News: DAAD project "MINLP for damping optimization" for 2015-2016 approved
CSC News: New Funding
New Publication: Optimal Control-Based Feedback Stabilization of Multi-field Flow Problems
Preprint: Low-Rank Newton-ADI methods for Large Nonsymmetric Algebraic Riccati Equations
Preprint: Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control
Preprint: On GPU Acceleration of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations
CSC News: Workshop within DAAD project Optimal Damping of Vibrating Systems in Osijek (Croatia)
Events: Workshop and meeting of GAMM activity group "Dynamics and Control"
Preprint: On BLAS Level-3 Implementations of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations
Events: Peter Benner speaks at Heidelberg Laureate Forum
Events: 3rd Symposium of the German SIAM Student Chapters
CSC News: New article: Model Order Reduction for Systems with Moving Loads
Preprint: On the benefits of the LDLT factorization for large-scale differential matrix equation solvers
Preprint: Extending Lyapack for the Solution of Band Lyapunov Equations on Hybrid CPU-GPU Platforms
Preprint: Semi-active damping optimization for vibrational systems using the parametric dominant pole algorithm
Events: Joint GAMM ANLA and ALAMA Meeting 2014
Events: Participation at the PMAA 2014 in Lugano
Events: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics
CSC News: Opening workshop of the SIAM Student Chapter Magdeburg officially announced in SIAM News.
CSC News: Max Planck Institute receives 50.000 Euro grant from Zeidler-Forschungs-Stiftung
New Preprint: Numerical Solution of Eigenvalue Problems for Alternating Matrix Polynomials and Their Application in Control Problems for Descriptor Systems
Events: Model Reduction of Complex Dynamical Systems 2013
CSC News: Defense of Bachelor thesis by Björn Baran
CSC News: New group members
Preprint: Interfacing C-M.E.S.S. with Python
Events: 3rd colloquium of SFB/TR-96 on 10/29-30/13 in Aachen
New Preprint: L∞-Norm Computation for Large-Scale Desriptor Systems Using Structured Iterative Eigensolvers
Thesis Topic: Diplom/Master Thesis
Balancing is a popular method to increase the accuracy when numerically computing the eigenvalues of a matrix. The aim of this work is the development of an algorithm that enables the balancing of even or skew-Hamiltonian/Hamiltonian matrix pencils by using structure-preserving transformations. This is necessary to be able to use structure-exploiting algorithms to compute the eigenvalues of the balanced pencils. The algorithm should be implemented in FORTRAN 77 and tested for some benchmark examples.
Contact: Matthias Voigt
Thesis Topic: Diplom/Master Thesis
Stability radii are a measure for the robustness of differential or differential-algebraic equations under perturbations. The goal of this project is to adapt existing methods in order to compute the structured real stability radius by using an optimization procedure over structured pseudospectra.
Contact: Matthias Voigt
New Preprint: Peter Benner, Judith Schneider: Uncertainty Quantification for Maxwell's Equations Using Stochastic Collocation and Model Order Reduction
New Preprint: Peter Benner, Patrick Kürschner, Jens Saak: Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations
New Preprint:
P. Benner, A. Schneider:
Balanced Truncation for Descriptor
Systems with Many Terminals
The model reduction method introduced in [Benner, P. and Schneider, A.; Balanced Truncation Model Order Reduction for LTI Systems with many Inputs or Outputs, in A. Edelmayer: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, 2010, ISBN/ISSN: 978-963-311-370-7] shows how to reduce linear time-invariant (LTI) continuous-time state space systems with either many inputs or many outputs using the well-known balanced truncation approach. We call this method balanced truncation for many terminals (BTMT). In this work we generalize BTMT to descriptor systems of the form
Eẋ(t) = Ax(t) + Bu(t), A, E ∈ ℝn×n,B ∈ ℝn×m
y(t) = Cx(t) + Du(t), C ∈ ℝp×n, D∈ ℝp×m,
where m ∈ 𝒪(n) and p ≪ n, or vice versa. We show how to obtain a reduced order model by solving one Lyapunov equation and using the Gauss-Kronrod quadrature to compute the needed projection matrices. In particular, we discuss the case when E is singular and show numerical results.
New Preprint:
Eberhard Bänsch, Peter Benner, Jens Saak, Heiko Weichelt:
Riccati-Based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flow
New Preprint: FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part I: Algorithms and Applications
New Preprint: FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part II: Implementation and Numerical Results
Events: European Numerical Mathematics and Advanced Applications (ENUMATH) conference 2013
Events: Preconditioning of Iterative Methods - Theory and Applications
New Preprint: Model order reduction of DAEs arising from the simulation of gas transport networks
New Preprint: Fast Solvers for Cahn-Hilliard Inpainting
New Preprint: A low-rank in time approach to PDE-constrained optimization
Preprint: Numerical Solution of Large and Sparse Continuous Time Algebraic Matrix Riccati and Lyapunov Equations: A State of the Art Survey
CSC News: CSC at Preconditioning 2013
CSC News: New intern
CSC News: New intern
Events: CIRM workshop Model Reduction and Approximation for Complex Systems
CSC News: New intern
New Preprint: Peter Benner, Patrick Kürschner: Computing Real Low-rank Solutions of Sylvester equations by the Factored ADI Method
CSC News: New group member
New Preprint: Melina Freitag, Patrick Kürschner: Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration
CSC News: New student assistant and diploma candidate
CSC News: New student assistant and Bachelor candidate
Events: 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics
Events: Workshop on Numerical Methods for Optimal Control and Inverse Problems
CSC News: Jonas Denißen visits J. J. Strossmayer University of Osijek in Croatia
Events: SPP1253 Final Meeting
CSC News: New group member
CSC News: Zoran Tomljanović (J. J. Strossmayer University of Osijek) visiting CSC
CSC News: New intern
Events: Meeting of the working group parameterization and simulation of SFB/TR-96 on 01/31-02/01/13 in Dresden
Events: 29th GAMM-Seminar Leipzig on Numerical Methods for Uncertainty Quantification
New appointments: Jessica Bosch, Mian Ilyas Ahmad, Andrew Barker, Yao Yue join the CSC group
New Preprint: Jessica Bosch, Martin Stoll, Peter Benner: Fast solution of Cahn-Hilliard Variational Inequalities using Implicit Time Discretization and Finite Elements
CSC News: DAAD project for 2013-2014 approved
Thesis Topic: Bachelor Thesis
Contact: Jens Saak
Thesis Topic: Bachelor Thesis
Contact: Jens Saak
Thesis Topic: Bachelor Thesis
Contact: Jens Saak
Thesis Topic: Diplom/Master Thesis
Contact: Jens Saak
Thesis Topic: Diplom/Master Thesis
Contact: Jens Saak
Events: Scientific Network: Scale bridging simulation methods based on order-reduction and co-simulation, 10.-12. Dezember
New Paper: Efficient Model Order Reduction for Piezo Mechanical Systems
New Preprint:
Peter Benner, Patrick Kürschner, Jens Saak:
An Improved Numerical Method for Balanced Truncation for Symmetric Second Order Systems
CSC News: Guests from TU Munich
Events: 2nd colloquium of SFB/TR-96 on 10/24-25/12 in Chemnitz, Fraunhofer IWU
New Preprint:
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
CSC News: Prof. Dr. Sebastian Schöps visiting CSC
New Preprint: Fast Evaluation of Time-Harmonic Maxwell's Equations Using the Reduced Basis Method
Events: Structured Matrix Computations in Non Euclidean Geometries: Algorithms and Applications
Events: Second International Workshop on Model Reduction for Parametrized Systems (MoRePaS II)
Open Position: Student Assistant
Events: Chemnitz FEM Symposium
New Preprint: Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes
Events: Workshop and meeting of GAMM activity group "Dynamics and Control"
Events: DMV Annual Meeting 2012
Events: 3rd IMA Conference on Numerical Linear Algebra and Optimisation
CSC News: Linux cluster otto now computing faster
New Team Members: Martin Redmann, Piotr Skrzypacz
New Visitor: John Pearson coming to Magdeburg for two months on ESF grant
New Preprint:
Peter Benner, Jens Saak, Martin Stoll, Heiko Weichelt:
Efficient Solution of Large-Scale Saddle Point Systems Arising
in Riccati-Based Boundary Feedback Stabilization of Incompressible
Stokes Flow
CSC News: Dr. Vasile Sima (National Institute for R&D in Informatics, Bucharest, Romania) visiting CSC
Events: SIAM Applied Linear Algebra
Open Position: Postdoctoral researcher
Open Position: Postdoctoral researcher/PhD Student
Open Position: Senior postdoctoral researcher/Team leader
Open Position: Student Assistant
Events: Workshop on Nonlinear Model Order Reduction
New visitor: Nick Higham visiting from Manchester
New visitor: Jan Heiland visiting from TU Berlin
New visitor: Catherine Powell visiting from Manchester
CSC News: Three Interns Working with CSC
CSC News: MPCSC at GAMM Annual Meeting in Darmstadt
CSC News: Elisabeth Ullmann visiting from University of Bath
New Preprint:
Christine Nowakowski, Patrick Kürschner, Peter Eberhard, Peter Benner:
Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations
Events: Workshop on Numerical Methods for Optimal Control and Inverse Problems
New Preprint: Tyrone Rees, Martin Stoll:A fast solver for an H1 regularized optimal control problem
CSC News: New CSC-Group-Member
New Preprint: Peter Benner, Thomas Mach: The LR Cholesky algorithm for symmetric hierarchical matrices
We will explain this behavior by applying a theorem on the structure preservation of diagonal plus semiseparable matrices under LR Cholesky transformations.
Thesis Topic: Diplom/Master Thesis
In many fields of systems and control theory, dynamical systems are analyzed via certain rational matrix functions (so-called Popov functions). Properties of Popov functions can often be characterized via solvability of linear matrix inequalities. The aim of this thesis is the adaption of the existing theory to the case that the dynamical system is given as algebraic difference equation. Furthermore, relations to the structure of palindromic matrix pencils should be analyzed. Optionally, applications of the theory can be taken into account, e.g., for the structure analysis of dynamical systems or optimal control.
Contact: Matthias Voigt
Thesis Topic: Bachelor Thesis
For the analysis of the properties of matrices often their pseudospectra are considered. For the visualization of pseudospectra a MATLAB GUI has already been developed. For the graphical depiction of structured pseudospectra, a generalization of pseudospectra of matrices, such a tool does not exist. Therefore, the task of this thesis is to develop methods for the computation of structured pseudospectra and to implement these in MATLAB. In particular, different approaches for the acceleration of the computations should be analyzed.
Contact: Matthias Voigt This news entry is expired.
Thesis Topic: Diploma/Master Thesis
Contact: Sara Grundel
Thesis Topic: Bachelor/Diploma/Master Thesis
An important tool in the analysis of complex physical phenomena is the simulation of the underlying mathematical models, which are often given by systems of ordinary and/or partial differential equations. As one is interested in models as accurate as possible, linear models are often insufficient such that one is faced with large-scale nonlinear systems. Frequently, these cannot be handled efficiently, necessitating model order reduction, i.e., the construction of a smaller system approximating the original one. In this thesis, a recently introduced approach for nonlinear model reduction should be implemented and tested by means of a real-life application arising in the context of biochemical reaction networks.
Contact: Tobias Breiten
Thesis Topic: Bachelor Thesis
Contact: Martin Stoll
Thesis Topic: Bachelor Thesis
Contact: Jens Saak
Thesis Topic: Diplom/Master Thesis:
In this thesis we investigate the representation of band-limited Gramians by matrix equations and the low-rank approximation of thereof.
Contact: Patrick Kürschner
Thesis Topic: Bachelor Thesis
Solving dual large-scale Lyapunov equations is a main step for carrying out balanced truncation model order reduction for linear, time-invariant control systems. Both Lyapunov equation can be solved simultaneously in one run of the dual low-rank ADI iteration. Here we are going to investigate the simultaneous iterative solution of the occurring adjoint linear systems with BiCG / QMR.
Contact: Patrick Kürschner
New visitor: Bart Vandereycken visiting from EPFL
CSC News: Hermann Mena visiting from ENP Quito
New visitor: Michael Saunders visiting from Stanford
CSC News: New CSC-Group-Member
New Preprints: 3 Preprints in 5 Days
- Peter Benner, Tobias Breiten: On optimality of interpolation-based low-rank approximations of large-scale matrix equations
- Peter Benner, Martin Köhler, Jens Saak: Sparse-Dense Sylvester Equations in ℋ₂-Model Order Reduction
- Thomas Mach, Jens Saak: Towards an ADI iteration for Tensor Structured Equations
Events: Workshop on Matrix Equations and Tensor Techniques at RWTH Aachen
New visitor: John Pearson visiting from Oxford
CSC News: Philip Losse's PhD Defense
New visitor: Cosmin Ionita (Rice University) visiting
Events: Summer School Numerical Linear Algebra for Dynamical and High-Dimensional Systems
Events: 1. General Assembly of the DFG Transregio 96 at TU Dresden
CSC News: New CSC-Group-Member
Events: SPP1253 Anual Meeting
Events: GAMM Workshop Applied Linear Algebra
CSC News: New CSC-Group-Members
New preprint: John Pearson, Martin Stoll, Andy Wathen: Regularization-robust preconditioners for time-dependent PDE constrained optimization problems
Events: 17th ILAS Conference in Braunschweig
New visitor: Fikriye Yilmaz (Gazi University, Ankara) visiting
New preprint: Martin Stoll: One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem
Thesis Topic: Diplom/Master Thesis:
We are searching for a regulator based feedback control u. Since this is not covered by the linear quadratic regulator approach, we first compute a reference pair of control and solution trajectory via open loop optimization. The resulting pair is then tracked by the regulator based feedback control.
Contact: Jens Saak
Open Position: Student Assistant
Open Position: Student Assistant
Events: CSC-Aachen Workshop on parametric model order reduction
For more information see the workshop webpage or contact Martin Stoll (stollm@mpi-magdeburg.mpg.de).
CSC News: DFG funding Transregio 96
Open position: Researcher/PhD Position (100%, Entgeltgruppe,13 TV-L)
CSC News: Dr. Vasile Sima (National Institute for R&D in Informatics, Bucharest, Romania) visiting CSC
Thesis Topic: Diplom/Master Thesis
CSC News: Peter Benner and Martin Stoll at Householder Symposium XVIII
The Householder Symposia are one of the longest running conference series in applied mathematics and attendance is by invitation only. The first meeting goes back to 1961 in Gatlinburg and therefore, the first meetings were called Gatlinburg Conference. The series was renamed in 1969 to honor Alston Householder for his groundbreaking contributions to Numerical Mathematics and is now held every 3 years.
New Preprint: Peter Benner, Tobias Breiten: Interpolation-Based ℋ₂-Model Reduction of Bilinear Control Systems
New preprint: Martin Stoll, Andy Wathen (Oxford): All-at-once solution of time-dependent Stokes control
Open Position: Student Assistant
Events: 6th Science Night in Magdeburg
We cordially invite you and your family to discover basic research in the engineering sciences: during guided tours through our institute, short lectures on our research topics and in experiments for kids and grown-ups! Our program for you (in German) ...
CSC News: Linux-Cluster Otto in the Press
Events: Registration for Summer school in Croatia now open
CSC News: Minisymposium at SIOPT 2011
CSC News: Daniel Kressner visiting
CSC News: David Knezevic visiting
Events: 1. Max Planck Industrial Workshop – Bridging the gap between basic research and industrial application
CSC News: Melina Freitag visiting
CSC News: Jens in Osijek, Croatia
CSC News: 4 Contributed Talks at GAMM Annual Meeting in Graz
CSC News: Hermann Mena visiting
CSC News: First CSC research group weekend workshop
CSC News: Timo Reis visiting CSC
New Preprint: Peter Benner, Thomas Mach: The preconditioned inverse iteration for hierarchical matrices
We extend the ideas to the computation of inner eigenvalues by computing an invariant subspaces S of (M-\mu I)² by subspace preconditioned inverse iteration.
CSC News: Prof. Peter Benner awarded with Honorary Professorship
CSC News: Project Meeting
CSC News: MoreSim4Nano project cooperation gets started
Events: MOR2011
CSC News: New CSC-Group-Members
Events: Verteidigung Diplomarbeit
Events: Verteidigung Diplomarbeit
New Preprint: Peter Benner, Thomas Mach: Computing all or some Eigenvalues of symmetric ℋℓ-Matrices
CSC News: New CSC Webpage
CSC News: New position
Most of the MiIT group has moved to Magdeburg, too.