A Portable Subroutine Library for Solving Linear Control Problems on Distributed Memory Computers. - Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (Wide Area Networks and High Performance Computing, 1998)

An exact line search method for solving generalized continuous-time algebraic Riccati equations. - Peter Benner; Ralph Byers (IEEE Trans. Autom. Control., 1998)

Solving Stable Stein Equations on Distributed Memory Computers. - Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (Euro-Par, 1999)

Solving stable generalized Lyapunov equations with the matrix sign function. - Peter Benner; Enrique S. Quintana-Ortí (Numer. Algorithms, 1999)

Parallel Distributed Solvers for Large Stable Generalized Lyapunov Equations. - Peter Benner; José M. Claver; Enrique S. Quintana-Ortí (Parallel Process. Lett., 1999)

Solving Discrete-Time Periodic Riccati Equations on a Cluster (Research Note). - Peter Benner; Rafael Mayo 002; Enrique S. Quintana-Ortí; Vicente Hernández (Euro-Par, 2000)

Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search. - Peter Benner; Ralph Byers; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (Parallel Comput., 2000)

Parallel Partial Stabilizing Algorithms for Large Linear Control Systems. - Peter Benner; Maribel Castillo; Enrique S. Quintana-Ortí; Vicente Hernández (J. Supercomput., 2000)

Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: the square-reduced method. - Peter Benner; Ralph Byers; Eric Barth (ACM Trans. Math. Softw., 2000)

Partial Stabilization of Large-Scale Discrete-Time Linear Control Systems. - Peter Benner; Maribel Castillo; Enrique S. Quintana-Ortí (ICPP Workshops, 2001)

Evaluating products of matrix pencils and collapsing matrix products. - Peter Benner; Ralph Byers (Numer. Linear Algebra Appl., 2001)

An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem. - Peter Benner; Heike Faßbender (SIAM J. Matrix Anal. Appl., 2001)

Symplectic Balancing of Hamiltonian Matrices. - Peter Benner (SIAM J. Sci. Comput., 2001)

Solving Large Sparse Lyapunov Equations on Parallel Computers (Research Note). - José M. Badía; Peter Benner; Rafael Mayo 002; Enrique S. Quintana-Ortí (Euro-Par, 2002)

Enhanced Services for Remote Model Reduction of Large-Scale Dense Linear Systems. - Peter Benner; Rafael Mayo 002; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (PARA, 2002)

Remote Parallel Model Reduction of Linear Time-Invariant Systems Made Easy. - Peter Benner; Rafael Mayo 002; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (VECPAR, 2002)

Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear Systems. - Peter Benner; Ralph Byers; Rafael Mayo 002; Enrique S. Quintana-Ortí; Vicente Hernández (J. Parallel Distributed Comput., 2002)

Numerical solution of discrete stable linear matrix equations on multicomputers. - Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (Parallel Algorithms Appl., 2002)

Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils. - Peter Benner; Ralph Byers; Volker Mehrmann; Hongguo Xu (SIAM J. Matrix Anal. Appl., 2002)

A structure-preserving method for generalized algebraic Riccati equations based on pencil arithmetic. - Ralph Byers; Peter Benner (ECC, 2003)

Solving linear matrix equations with SLICOT. - Vasile Sima; Peter Benner (ECC, 2003)

Remote Model Reduction of Very Large Linear Systems. - Peter Benner; Rafael Mayo 002; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (IPDPS, 2003)

Parallel Model Reduction of Large-Scale Unstable Systems. - Peter Benner; María Isabel Castillo; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (PARCO, 2003)

Structure preservation: a challenge in computational control. - Peter Benner; Daniel Kressner; Volker Mehrmann (Future Gener. Comput. Syst., 2003)

Parallel algorithms for model reduction of discrete-time systems. - Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (Int. J. Syst. Sci., 2003)

The Kleinman Iteration for Nonstabilizable Systems. - Peter Benner; Vicente Hernández; Antonio Pastor (Math. Control. Signals Syst., 2003)

State-space truncation methods for parallel model reduction of large-scale systems. - Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (Parallel Comput., 2003)

Computing optimal Hankel norm approximations of large-scale systems. - Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (CDC, 2004)

Parallel Algorithms for Balanced Truncation Model Reduction of Sparse Systems. - José M. Badía; Peter Benner; Rafael Mayo 002; Enrique S. Quintana-Ortí (PARA, 2004)

Computing Passive Reduced-Order Models for Circuit Simulation. - Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (PARELEC, 2004)

Parallel Model Reduction of Large Linear Descriptor Systems via Balanced Truncation. - Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (VECPAR, 2004)

Parallel Algorithms for Balanced Truncation of Large-Scale Unstable Systems. - Sergio Barrachina 001; Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (CDC/ECC, 2005)

New Hamiltonian Eigensolvers with Applications in Control. - Peter Benner; Daniel Kressner (CDC/ECC, 2005)

Parallel Order Reduction via Balanced Truncation for Optimal Cooling of Steel Profiles. - José M. Badía; Peter Benner; Rafael Mayo 002; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí; Jens Saak (Euro-Par, 2005)

Partial stabilisation of large-scale discrete-time linear control systems. - Peter Benner; Maribel Castillo; Enrique S. Quintana-Ortí (Int. J. Comput. Sci. Eng., 2005)

Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations. - José M. Badía; Peter Benner; Rafael Mayo 002; Enrique S. Quintana-Ortí (Euro-Par, 2006)

Numerische Methoden zur passivitätserhaltenden Modellreduktion (Numerical Methods for Passivity Preserving Model Reduction). - Heike Faßbender; Peter Benner (Autom., 2006)

Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic. - Ulrike Baur; Peter Benner (Computing, 2006)

Solving Stable Sylvester Equations via Rational Iterative Schemes. - Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (J. Sci. Comput., 2006)

An Arithmetic for Matrix Pencils: Theory and New Algorithms. - Peter Benner; Ralph Byers (Numerische Mathematik, 2006)

Partial realization of descriptor systems. - Peter Benner; Viatcheslav I. Sokolov (Syst. Control. Lett., 2006)

Algorithm 854: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices II. - Peter Benner; Daniel Kressner (ACM Trans. Math. Softw., 2006)

Fast system identification and model reduction solvers. - Vasile Sima; Peter Benner (ALCOSP, 2007)

Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems. - José M. Badía; Peter Benner; Rafael Mayo 002; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí; Alfredo Remón (LSSC, 2007)

Strategies for Parallelizing the Solution of Rational Matrix Equations. - José M. Badía; Peter Benner; Maribel Castillo; Heike Faßbender; Rafael Mayo 002; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (PARCO, 2007)

Stabilizing large-scale generalized systems on parallel computers using multithreading and message-passing. - Peter Benner; Maribel Castillo; Rafael Mayo 002; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (Concurr. Comput. Pract. Exp., 2007)

On the Solution of the Rational Matrix Equation X=Q+LX-1LT. - Peter Benner; Heike Faßbender (EURASIP J. Adv. Signal Process., 2007)

Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function. - Sergio Barrachina 001; Peter Benner; Enrique S. Quintana-Ortí (Numer. Algorithms, 2007)

Experimental evaluation of new SLICOT solvers for linear matrix equations based on the matrix sign function. - Vasile Sima; Peter Benner (CACSD, 2008)

Large-scale matrix equations of special type. - Peter Benner (Numer. Linear Algebra Appl., 2008)

Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. - Peter Benner; Jing-Rebecca Li; Thilo Penzl (Numer. Linear Algebra Appl., 2008)

Solving linear-quadratic optimal control problems on parallel computers. - Peter Benner; Enrique S. Quintana-Ortí; Gregorio Quintana-Ortí (Optim. Methods Softw., 2008)

Gramian-Based Model Reduction for Data-Sparse Systems. - Ulrike Baur; Peter Benner (SIAM J. Sci. Comput., 2008)

Parametric model order reduction accelerated by subspace recycling. - Lihong Feng; Peter Benner; Jan G. Korvink (CDC, 2009)

Using Hybrid CPU-GPU Platforms to Accelerate the Computation of the Matrix Sign Function. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (Euro-Par Workshops, 2009)

Modellreduktion für parametrisierte Systeme durch balanciertes Abschneiden und Interpolation (Model Reduction for Parametric Systems Using Balanced Truncation and Interpolation). - Ulrike Baur; Peter Benner (Autom., 2009)

Parallel solution of large-scale algebraic Bernoulli equations with the matrix sign function method. - Sergio Barrachina 001; Peter Benner; Enrique S. Quintana-Ortí (Int. J. Comput. Sci. Eng., 2009)

On the ADI method for Sylvester equations. - Peter Benner; Ren-Cang Li; Ninoslav Truhar (J. Comput. Appl. Math., 2009)

Accelerating Model Reduction of Large Linear Systems with Graphics Processors. - Peter Benner; Pablo Ezzatti; Daniel Kressner; Enrique S. Quintana-Ortí; Alfredo Remón (PARA (2), 2010)

Die SLICOT-Toolboxen für Matlab (The SLICOT Toolboxes for Matlab). - Peter Benner; Daniel Kressner; Vasile Sima; András Varga (Autom., 2010)

On the QR decomposition of fancyscript H -matrices. - Peter Benner; Thomas Mach (Computing, 2010)

High performance matrix inversion of SPD matrices on graphics processors. - Peter Benner; Enrique S. Quintana-Ortí; Pablo Ezzatti; Alfredo Remón (HPCS, 2011)

MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations. - Peter Benner; Sabine Hein (System Modelling and Optimization, 2011)

Accelerating BST Methods for Model Reduction with Graphics Processors. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (PPAM (1), 2011)

On the numerical solution of large-scale sparse discrete-time Riccati equations. - Peter Benner; Heike Faßbender (Adv. Comput. Math., 2011)

Robust formulas for optimal H∞ controllers. - Peter Benner; Ralph Byers; Philip Losse; Volker Mehrmann; Hongguo Xu (Autom., 2011)

Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems. - Peter Benner; Tobias Breiten; Tobias Damm (Int. J. Control, 2011)

A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms. - Peter Benner; Pablo Ezzatti; Daniel Kressner; Enrique S. Quintana-Ortí; Alfredo Remón (Parallel Comput., 2011)

Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems. - Peter Benner; Tobias Damm (SIAM J. Control. Optim., 2011)

Interpolatory Projection Methods for Parameterized Model Reduction. - Ulrike Baur; Christopher A. Beattie; Peter Benner; Serkan Gugercin (SIAM J. Sci. Comput., 2011)

Stabilization of Incompressible Flow Problems by Riccati-based Feedback. - Eberhard Bänsch; Peter Benner (Constrained Optimization and Optimal Control for Partial Differential Equations, 2012)

New SLICOT routines based on structured eigensolvers. - Vasile Sima; Peter Benner; Daniel Kressner (CCA, 2012)

Numerical computation of structured complex stability radii of large-scale matrices and pencils. - Peter Benner; Matthias Voigt (CDC, 2012)

Unleashing CPU-GPU Acceleration for Control Theory Applications. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (Euro-Par Workshops, 2012)

High Performance Implementations of the BST Method on Hybrid CPU-GPU Platforms. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (ISPA, 2012)

Robust and Efficient Algorithms for L∞ -Norm Computation for Descriptor Systems. - Peter Benner; Vasile Sima; Matthias Voigt (ROCOND, 2012)

Computation of a compact state space model for an adaptive spindle head configuration with piezo actuators using balanced truncation. - Mohammad Monir Uddin; Jens Saak; Burkhard Kranz; Peter Benner (Prod. Eng., 2012)

Interpolation-Based H2-Model Reduction of Bilinear Control Systems. - Peter Benner; Tobias Breiten (SIAM J. Matrix Anal. Appl., 2012)

Computing All or Some Eigenvalues of Symmetric H-Matrices. - Peter Benner; Thomas Mach (SIAM J. Sci. Comput., 2012)

L∞-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils. - Peter Benner; Vasile Sima; Matthias Voigt (IEEE Trans. Autom. Control., 2012)

Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography. - Peter Benner; Lihong Feng; Suzhou Li; Yongjin Zhang (ENUMATH, 2013)

Distributed Optimal Control Problems Governed by Coupled Convection Dominated PDEs with Control Constraints. - Hamdullah Yücel; Peter Benner (ENUMATH, 2013)

On the Impact of Optimization on the Time-Power-Energy Balance of Dense Linear Algebra Factorizations. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (ICA3PP (2), 2013)

Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-field Flow Problems. - Peter Benner; Jens Saak; Martin Stoll; Heiko K. Weichelt (System Modelling and Optimization, 2013)

Exploiting Data- and Task-Parallelism in the Solution of Riccati Equations on Multicore Servers and GPUs. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (PARCO, 2013)

Fast Approximate Solution of the Non-Symmetric Generalized Eigenvalue Problem on Multicore Architectures. - Peter Benner; Martin Köhler; Jens Saak (PARCO, 2013)

Solving Matrix Equations on Multi-Core and Many-Core Architectures. - Peter Benner; Pablo Ezzatti; Hermann Mena; Enrique S. Quintana-Ortí; Alfredo Remón (Algorithms, 2013)

Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models. - Hamdullah Yücel; Martin Stoll; Peter Benner (Comput. Chem. Eng., 2013)

Computing the eigenvalues of symmetric (H2) -matrices by slicing the spectrum. - Peter Benner; Steffen Börm; Thomas Mach; Knut Reimer (Comput. Vis. Sci., 2013)

Matrix inversion on CPU-GPU platforms with applications in control theory. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (Concurr. Comput. Pract. Exp., 2013)

Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. - Peter Benner; Patrick Kürschner; Jens Saak (Numer. Algorithms, 2013)

The preconditioned inverse iteration for hierarchical matrices. - Peter Benner; Thomas Mach (Numer. Linear Algebra Appl., 2013)

Optimal damping of selected eigenfrequencies using dimension reduction. - Peter Benner; Zoran Tomljanovic; Ninoslav Truhar (Numer. Linear Algebra Appl., 2013)

Low rank methods for a class of generalized Lyapunov equations and related issues. - Peter Benner; Tobias Breiten (Numerische Mathematik, 2013)

Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow. - Peter Benner; Jens Saak; Martin Stoll; Heiko K. Weichelt (SIAM J. Sci. Comput., 2013)

Rosenbrock Methods for Solving Riccati Differential Equations. - Peter Benner; Hermann Mena (IEEE Trans. Autom. Control., 2013)

Accelerating the general band matrix multiplication using graphics processors. - Peter Benner; Alfredo Remón; Ernesto Dufrechou; Pablo Ezzatti; Enrique S. Quintana-Ortí (CLEI, 2014)

Interpolatory model reduction techniques for linear second-order descriptor systems. - Mian Ilyas Ahmad; Peter Benner (ECC, 2014)

Accelerating Band Linear Algebra Operations on GPUs with Application in Model Reduction. - Peter Benner; Ernesto Dufrechou; Pablo Ezzatti; Pablo Igounet; Enrique S. Quintana-Ortí; Alfredo Remón (ICCSA (6), 2014)

Numerical Investigation of Newton's Method for Solving Continuous-time Algebraic Riccati Equations. - Vasile Sima; Peter Benner (ICINCO (1), 2014)

Model Order Reduction for Systems with Moving Loads. - Norman Lang; Jens Saak; Peter Benner (Autom., 2014)

Using surrogate models for efficient optimization of simulated moving bed chromatography. - Suzhou Li; Lihong Feng; Peter Benner; Andreas Seidel-Morgenstern (Comput. Chem. Eng., 2014)

Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (CLEI Electron. J., 2014)

Computing real low-rank solutions of Sylvester equations by the factored ADI method. - Peter Benner; Patrick Kürschner (Comput. Math. Appl., 2014)

Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. - Jessica Bosch; Martin Stoll; Peter Benner (J. Comput. Phys., 2014)

A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations. - Peter Benner; Jens Saak; Friedhelm Schieweck; Piotr Skrzypacz; Heiko K. Weichelt (J. Num. Math., 2014)

A structured pseudospectral method for H∞-norm computation of large-scale descriptor systems. - Peter Benner; Matthias Voigt (Math. Control. Signals Syst., 2014)

A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (Numer. Algorithms, 2014)

Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. - Peter Benner; Mohammad-Sahadet Hossain; Tatjana Stykel (Numer. Algorithms, 2014)

On the squared Smith method for large-scale Stein equations. - Peter Benner; Grece El Khoury; Miloud Sadkane (Numer. Linear Algebra Appl., 2014)

On optimality of approximate low rank solutions of large-scale matrix equations. - Peter Benner; Tobias Breiten (Syst. Control. Lett., 2014)

Numerical Solution of Projected Algebraic Riccati Equations. - Peter Benner; Tatjana Stykel (SIAM J. Numer. Anal., 2014)

Efficient model order reduction for multi-agent systems using QR decomposition-based clustering. - Petar Mlinaric; Sara Grundel; Peter Benner (CDC, 2015)

Solving dense linear systems with hybrid ARM+GPU platforms. - Juan Pablo Silva; Ernesto Dufrechou; Pablo Ezzatti; Enrique S. Quintana-Ortí; Peter Benner; Alfredo Remón (CLEI, 2015)

Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell's Equations. - Martin W. Hess; Peter Benner (ENUMATH, 2015)

Model reduction of quadratic-bilinear descriptor systems via Carleman bilinearization. - Pawan Goyal 003; Mian Ilyas Ahmad; Peter Benner (ECC, 2015)

Pitfalls When Solving Eigenproblems - With Applications in Control Engineering. - Vasile Sima; Peter Benner (ICINCO (1), 2015)

Exploring the Offload Execution Model in the Intel Xeon Phi via Matrix Inversion. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (PARCO, 2015)

A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (PPAM (1), 2015)

Revisiting the Gauss-Huard Algorithm for the Solution of Linear Systems on Graphics Accelerators. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (PPAM (1), 2015)

Parametric model order reduction with a small ℋ2-error using radial basis functions. - Peter Benner; Sara Grundel; Nils Hornung (Adv. Comput. Math., 2015)

Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics. - Peter Benner; Mario Ohlberger; Anthony T. Patera; Gianluigi Rozza; Danny C. Sorensen; Karsten Urban (Adv. Comput. Math., 2015)

Model order reduction for a family of linear systems with applications in parametric and uncertain systems. - Peter Benner; Sara Grundel (Appl. Math. Lett., 2015)

Unleashing GPU acceleration for symmetric band linear algebra kernels and model reduction. - Peter Benner; Ernesto Dufrechou; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (Clust. Comput., 2015)

A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms. - Hamdullah Yücel; Martin Stoll; Peter Benner (Comput. Math. Appl., 2015)

Introduction to the special issue for EUCCO 2013. - Peter Benner; Roland Herzog; Michael Hinze; Arnd Rösch; Anton Schiela; Volker Schulz 001 (Comput. Optim. Appl., 2015)

Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations. - Hamdullah Yücel; Peter Benner (Comput. Optim. Appl., 2015)

Nonlinear model reduction of a continuous fluidized bed crystallizer. - Michael Mangold; Lihong Feng; Dmytro Khlopov; Stefan Palis; Peter Benner; Daniel Binev; Andreas Seidel-Morgenstern (J. Comput. Appl. Math., 2015)

Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. - Peter Benner; Akwum Onwunta; Martin Stoll (SIAM/ASA J. Uncertain. Quantification, 2015)

Fast and Reliable Noise Estimation for Hyperspectral Subspace Identification. - Peter Benner; Vedran Novakovic; Antonio Plaza; Enrique S. Quintana-Ortí; Alfredo Remón (IEEE Geosci. Remote. Sens. Lett., 2015)

Towards the identification of heat induction in chip removing processes via an optimal control approach. - Norman Lang; Jens Saak; Peter Benner; Steffen Ihlenfeldt; Steffen Nestmann; Klaus Schädlich (Prod. Eng., 2015)

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems. - Peter Benner; Serkan Gugercin; Karen Willcox (SIAM Rev., 2015)

Recycling BiCGSTAB with an Application to Parametric Model Order Reduction. - Kapil Ahuja; Peter Benner; Eric de Sturler; Lihong Feng (SIAM J. Sci. Comput., 2015)

Riccati-based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flows. - Eberhard Bänsch; Peter Benner; Jens Saak; Heiko K. Weichelt (SIAM J. Sci. Comput., 2015)

Two-Sided Projection Methods for Nonlinear Model Order Reduction. - Peter Benner; Tobias Breiten (SIAM J. Sci. Comput., 2015)

An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations. - Yongjin Zhang; Lihong Feng; Suzhou Li; Peter Benner (SIAM J. Sci. Comput., 2015)

Extending lyapack for the solution of band Lyapunov equations on hybrid CPU-GPU platforms. - Peter Benner; Alfredo Remón; Ernesto Dufrechou; Pablo Ezzatti; Enrique S. Quintana-Ortí (J. Supercomput., 2015)

Model Order Reduction: Techniques and Tools. - Peter Benner; Heike Faßbender (Encyclopedia of Systems and Control, 2015)

A linearized Navier-Stokes input output model. - Jens Saak; Peter Benner; Heiko K. Weichelt; Eberhard Bänsch (Zenodo, 2015)

Model Order Reduction for nanoelectronics coupled problems with many inputs. - Nicodemus Banagaaya; Lihong Feng; Wim Schoenmaker; Peter Meuris; Aarnout Wieers; Renaud Gillon; Peter Benner (DATE, 2016)

Time-varying stabilization of a class of driftless systems satisfying second-order controllability conditions. - Alexander Zuyev 001; Victoria Grushkovskaya; Peter Benner (ECC, 2016)

Tuning the Blocksize for Dense Linear Algebra Factorization Routines with the Roofline Model. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón; Juan Pablo Silva (ICA3PP Workshops, 2016)

Balancing Energy and Performance in Dense Linear System Solvers for Hybrid ARM+GPU platforms. - Juan Pablo Silva; Ernesto Dufrechou; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón; Peter Benner (CLEI Electron. J., 2016)

Balanced Truncation of Linear Time-Invariant Systems over Finite-frequency Ranges. - Xin Du; Peter Benner (CoRR, 2016)

Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. - Xin Du; Peter Benner (CoRR, 2016)

Model Reduction of Linear Multi-Agent Systems by Clustering and Associated H2- and H∞-Error Bounds. - Hidde-Jan Jongsma; Petar Mlinaric; Sara Grundel; Peter Benner; Harry L. Trentelman (CoRR, 2016)

Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. - Peter Benner; Patrick Kürschner; Jens Saak (J. Frankl. Inst., 2016)

Computation of thermo-elastic deformations on machine tools a study of numerical methods. - Andreas Naumann; Norman Lang; Marian Partzsch; Michael Beitelschmidt; Peter Benner; Axel Voigt; Jörg Wensch (Prod. Eng., 2016)

Multipoint interpolation of Volterra series and H2-model reduction for a family of bilinear descriptor systems. - Peter Benner; Pawan Goyal 003 (Syst. Control. Lett., 2016)

Block-Diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. - Peter Benner; Akwum Onwunta; Martin Stoll (SIAM J. Matrix Anal. Appl., 2016)

Frequency-Limited Balanced Truncation with Low-Rank Approximations. - Peter Benner; Patrick Kürschner; Jens Saak (SIAM J. Sci. Comput., 2016)

Algorithm 961: Fortran 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems. - Peter Benner; Vasile Sima; Matthias Voigt (ACM Trans. Math. Softw., 2016)

M-M.E.S.S.-1.0 - The Matrix Equation Sparse Solver Library. - Jens Saak; Martin Köhler; Peter Benner (Zenodo, 2016)

Nonlinear feedback stabilization of incompressible flows via updated Riccati-based gains. - Peter Benner; Jan Heiland (CDC, 2017)

Solving Sparse Differential Riccati Equations on Hybrid CPU-GPU Platforms. - Peter Benner; Ernesto Dufrechou; Pablo Ezzatti; Hermann Mena; Enrique S. Quintana-Ortí; Alfredo Remón (ICCSA (1), 2017)

GPU-Accelerated and Storage-Efficient Implementation of the QR Decomposition. - Peter Benner; Martin Köhler; Carolin Penke (PARCO, 2017)

POD-DEIM for efficient reduction of a dynamic 2D catalytic reactor model. - Jens Bremer; Pawan Goyal 003; Lihong Feng; Peter Benner; Kai Sundmacher (Comput. Chem. Eng., 2017)

Accelerating optimization and uncertainty quantification of nonlinear SMB chromatography using reduced-order models. - Yongjin Zhang; Lihong Feng; Andreas Seidel-Morgenstern; Peter Benner (Comput. Chem. Eng., 2017)

Extending the Gauss-Huard method for the solution of Lyapunov matrix equations and matrix inversion. - Peter Benner; Pablo Ezzatti; Enrique S. Quintana-Ortí; Alfredo Remón (Concurr. Comput. Pract. Exp., 2017)

Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients. - Maximilian Behr; Peter Benner; Jan Heiland (CoRR, 2017)

Computing the Stochastic H∞-Norm by a Netwon Iteration. - Tobias Damm; Peter Benner; Jan Hauth (IEEE Control. Syst. Lett., 2017)

Implicit Volterra series interpolation for model reduction of bilinear systems. - Mian Ilyas Ahmad; Ulrike Baur; Peter Benner (J. Comput. Appl. Math., 2017)

Krylov subspace-based model reduction for a class of bilinear descriptor systems. - Mian Ilyas Ahmad; Peter Benner; Pawan Goyal 003 (J. Comput. Appl. Math., 2017)

Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. - Peter Benner; Sergey Dolgov; Venera Khoromskaia; Boris N. Khoromskij (J. Comput. Phys., 2017)

Structure preserving iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. - Peter Benner; Mohammad-Sahadet Hossain (Numer. Algorithms, 2017)

An H2-type error bound for balancing-related model order reduction of linear systems with Lévy noise. - Martin Redmann; Peter Benner (Syst. Control. Lett., 2017)

Large-Scale Computation of ℒ∞-Norms by a Greedy Subspace Method. - Nicat Aliyev; Peter Benner; Emre Mengi; Paul Schwerdtner; Matthias Voigt (SIAM J. Matrix Anal. Appl., 2017)

Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems. - Peter Benner; Hamdullah Yücel (SIAM J. Numer. Anal., 2017)

Dual Pairs of Generalized Lyapunov Inequalities and Balanced Truncation of Stochastic Linear Systems. - Peter Benner; Tobias Damm; Yolanda R. Rodriguez Cruz (IEEE Trans. Autom. Control., 2017)

MORLAB - Model Order Reduction LABoratory. - Peter Benner; Steffen W. R. Werner (Zenodo, 2017)

Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model. - Peter Benner; Tim Mitchell; Michael L. Overton (CDC, 2018)

Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures. - Petar Mlinaric; Takayuki Ishizaki; Aranya Chakrabortty; Sara Grundel; Peter Benner; Jun-ichi Imura (ECC, 2018)

Numerical Investigation of Newton's Method for Solving Discrete-time Algebraic Riccati Equations. - Vasile Sima; Peter Benner (ICINCO (1), 2018)

Computational Experience with a Modified Newton Solver for Discrete-Time Algebraic Riccati Equations. - Vasile Sima; Peter Benner (ICINCO (Selected Papers), 2018)

Model reduction of complex dynamical systems - Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017. - Peter Benner; Heike Faßbender; Michael Hinze; Tatjana Stykel; Ralf Zimmermann 002 (Adv. Comput. Math., 2018)

On reduced input-output dynamic mode decomposition. - Peter Benner; Christian Himpe; Tim Mitchell (Adv. Comput. Math., 2018)

An index-aware parametric model order reduction method for parameterized quadratic differential-algebraic equations. - Nicodemus Banagaaya; Peter Benner; Lihong Feng; Peter Meuris; Wim Schoenmaker (Appl. Math. Comput., 2018)

New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. - Igor Pontes Duff; Sara Grundel; Peter Benner (CoRR, 2018)

Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. - Peter Benner; Hermann Mena (J. Num. Math., 2018)

Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems. - Peter Benner; Yue Qiu; Martin Stoll (SIAM/ASA J. Uncertain. Quantification, 2018)

Model reduction of linear multi-agent systems by clustering with ℋ2⃗ and ℋ∞⃗ error bounds. - Hidde-Jan Jongsma; Petar Mlinaric; Sara Grundel; Peter Benner; Harry L. Trentelman (Math. Control. Signals Syst., 2018)

7th Workshop on Matrix Equations and Tensor Techniques. - Peter Benner; Heike Faßbender; Lars Grasedyck; Daniel Kressner; Beatrice Meini; Valeria Simoncini (Numer. Linear Algebra Appl., 2018)

RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. - Peter Benner; Zvonimir Bujanovic; Patrick Kürschner; Jens Saak (Numerische Mathematik, 2018)

H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems. - Peter Benner; Pawan Goyal 003; Serkan Gugercin (SIAM J. Matrix Anal. Appl., 2018)

Space-Time Galerkin POD with Application in Optimal Control of Semilinear Partial Differential Equations. - Manuel Baumann; Peter Benner; Jan Heiland (SIAM J. Sci. Comput., 2018)

Range-Separated Tensor Format for Many-Particle Modeling. - Peter Benner; Venera Khoromskaia; Boris N. Khoromskij (SIAM J. Sci. Comput., 2018)

Faster and More Accurate Computation of the ℋ∞ Norm via Optimization. - Peter Benner; Tim Mitchell (SIAM J. Sci. Comput., 2018)

Solution Formulas for Differential Sylvester and Lyapunov Equation. - Maximilian Behr; Jan Heiland; Peter Benner (Zenodo, 2018)

Solution Formulas for Differential Sylvester and Lyapunov Equations. - Maximilian Behr; Jan Heiland; Peter Benner (Zenodo, 2018)

C-M.E.S.S.-1.0.0 - The Matrix Equation Sparse Solver Library (C Version). - Peter Benner; Martin Köhler; Jens Saak (Zenodo, 2018)

MORLAB - Model Order Reduction LABoratory. - Peter Benner; Steffen W. R. Werner (Zenodo, 2018)

A Low-Rank Approach for Nonlinear Parameter-Dependent Fluid-Structure Interaction Problems. - Peter Benner; Thomas Richter 003; Roman Weinhandl (ENUMATH, 2019)

Model order reduction of bilinear time-delay systems. - Ion Victor Gosea; Igor Pontes Duff; Peter Benner; Athanasios C. Antoulas (ECC, 2019)

A bilinear ℋ2 model order reduction approach to linear parameter-varying systems. - Peter Benner; Xingang Cao; Wil H. A. Schilders (Adv. Comput. Math., 2019)

Cross-Gramian-based dominant subspaces. - Peter Benner; Christian Himpe (Adv. Comput. Math., 2019)

Reduced-order modelling of parametric systems via interpolation of heterogeneous surrogates. - Yao Yue; Lihong Feng; Peter Benner (Adv. Model. Simul. Eng. Sci., 2019)

A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. - Peter Benner; Akwum Onwunta; Martin Stoll (Comput. Methods Appl. Math., 2019)

A GPU-aware mixed-precision solver for low-rank algebraic Riccati equations. - Peter Benner; Ernesto Dufrechou; Pablo Ezzatti; Alfredo Remón; Jens Saak (Concurr. Comput. Pract. Exp., 2019)

An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models. - Yao Yue; Lihong Feng; Peter Benner (CoRR, 2019)

An Adaptive Sampling Approach for the Reduced Basis Method. - Sridhar Chellappa; Lihong Feng; Peter Benner (CoRR, 2019)

Data-Driven Identification of Rayleigh-Damped Second-Order Systems. - Igor Pontes Duff; Pawan Goyal 003; Peter Benner (CoRR, 2019)

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. - Maximilian Behr; Peter Benner; Jan Heiland (CoRR, 2019)

Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction. - Peter Benner; Pawan Goyal 003; Igor Pontes Duff (CoRR, 2019)

Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems. - Sridhar Chellappa; Lihong Feng; Peter Benner (CoRR, 2019)

Balanced Truncation for a Special Class of Bilinear Descriptor Systems. - Igor Pontes Duff; Pawan Goyal 003; Peter Benner (IEEE Control. Syst. Lett., 2019)

A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems. - Mian Ilyas Ahmad; Peter Benner; Lihong Feng (Int. J. Comput. Math., 2019)

Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation. - Peter Benner; Venera Khoromskaia; Boris N. Khoromskij; Chao Yang (J. Comput. Phys., 2019)

Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius. - Peter Benner; Tim Mitchell (SIAM J. Matrix Anal. Appl., 2019)

SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm. - Peter Benner; Steffen W. R. Werner (Zenodo, 2019)

Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems. - Peter Benner; Steffen W. R. Werner (Zenodo, 2019)

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. - Maximilian Behr; Peter Benner; Jan Heiland (Zenodo, 2019)

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. - Maximilian Behr; Peter Benner; Jan Heiland (Zenodo, 2019)

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. - Maximilian Behr; Peter Benner; Jan Heiland (Zenodo, 2019)

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. - Maximilian Behr; Peter Benner; Jan Heiland (Zenodo, 2019)

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. - Maximilian Behr; Peter Benner; Jan Heiland (Zenodo, 2019)

MORLAB - Model Order Reduction LABoratory. - Peter Benner; Steffen W. R. Werner (Zenodo, 2019)

M-M.E.S.S. - The Matrix Equation Sparse Solver Library. - Jens Saak; Martin Köhler; Peter Benner (Zenodo, 2019)

Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough. - Peter Benner; Jan Heiland (ECC, 2020)

PD controllers to solve single-input, index-1 DAE based LQR problems. - Chayan Bhawal; Jan Heiland; Peter Benner (ECC, 2020)

MORLAB - A Model Order Reduction Framework in MATLAB and Octave. - Peter Benner; Steffen W. R. Werner (ICMS, 2020)

Balanced truncation of linear time-invariant systems over finite-frequency ranges. - Peter Benner; Xin Du; Guang-Hong Yang; Dan Ye 001 (Adv. Comput. Math., 2020)

Hankel-norm approximation of large-scale descriptor systems. - Peter Benner; Steffen W. R. Werner (Adv. Comput. Math., 2020)

Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems. - Peter Benner; Steffen W. R. Werner (CoRR, 2020)

Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. - Peter Benner; Pawan Goyal 003; Boris Kramer; Benjamin Peherstorfer; Karen Willcox (CoRR, 2020)

Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations. - Nicodemus Banagaaya; Giuseppe Alì; Sara Grundel; Peter Benner (CoRR, 2020)

MORLAB - The Model Order Reduction LABoratory. - Peter Benner; Steffen W. R. Werner (CoRR, 2020)

Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 - Philosophy, Features and Application for (Parametric) Model. - Peter Benner; Martin Köhler; Jens Saak (CoRR, 2020)

Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain. - Sridhar Chellappa; Lihong Feng; Valentin de la Rubia; Peter Benner (CoRR, 2020)

On the Solution of the Nonsymmetric T-Riccati Equation. - Peter Benner; Davide Palitta (CoRR, 2020)

Low-Rank and Total Variation Regularization and Its Application to Image Recovery. - Pawan Goyal 003; Hussam Al Daas; Peter Benner (CoRR, 2020)

Clustering-Based Model Order Reduction for Nonlinear Network Systems. - Peter Benner; Sara Grundel; Petar Mlinaric (CoRR, 2020)

On Error Estimation for Reduced-order Modeling of Linear Non-parametric and Parametric Systems. - Lihong Feng; Peter Benner (CoRR, 2020)

Convergence Analysis of Extended LOBPCG for Computing Extreme Eigenvalues. - Peter Benner; Xin Liang 004 (CoRR, 2020)

A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data. - Karim Cherifi; Pawan Goyal 003; Peter Benner (CoRR, 2020)

A linear implicit Euler method for the finite element discretization of a controlled stochastic heat equation. - Peter Benner; Tony Stillfjord; Christoph Trautwein (CoRR, 2020)

GR decompositions and their relations to Cholesky-like factorizations. - Peter Benner; Carolin Penke (CoRR, 2020)

Data-Driven Learning of Reduced-order Dynamics for a Parametrized Shallow Water Equation. - Süleyman Yildiz; Pawan Goyal 003; Peter Benner; Bülent Karasözen (CoRR, 2020)

A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations With Hyperelasticity. - Roman Weinhandl; Peter Benner; Thomas Richter 003 (CoRR, 2020)

Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification. - Peter Benner; Jan Heiland (CoRR, 2020)

Data-Driven Snapshot Calibration via Monotonic Feature Matching. - Neeraj Sarna; Jan Giesselmann; Peter Benner (CoRR, 2020)

Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties. - Anke Stoll; Peter Benner (CoRR, 2020)

Structure-Preserving Model Reduction for Dissipative Mechanical Systems. - Rebekka S. Beddig; Peter Benner; Ines Dorschky; Timo Reis; Paul Schwerdtner; Matthias Voigt; Steffen W. R. Werner (CoRR, 2020)

Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. - Peter Benner; Pawan Goyal 003; Jan Heiland; Igor Pontes Duff (CoRR, 2020)

Model Order Reduction for Gas and Energy Networks. - Christian Himpe; Sara Grundel; Peter Benner (CoRR, 2020)

Efficient numerical methods for gas network modeling and simulation. - Yue Qiu; Sara Grundel; Martin Stoll; Peter Benner (Networks Heterog. Media, 2020)

High performance solution of skew-symmetric eigenvalue problems with applications in solving the Bethe-Salpeter eigenvalue problem. - Carolin Penke; Andreas Marek; Christian Vorwerk; Claudia Draxl; Peter Benner (Parallel Comput., 2020)

Identification of port-Hamiltonian systems from frequency response data. - Peter Benner; Pawan Goyal 003; Paul Van Dooren (Syst. Control. Lett., 2020)

A Subspace Framework for H∞-Norm Minimization. - Nicat Aliyev; Peter Benner; Emre Mengi; Matthias Voigt (SIAM J. Matrix Anal. Appl., 2020)

A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems. - Peter Benner; Zvonimir Bujanovic; Patrick Kürschner; Jens Saak (SIAM J. Sci. Comput., 2020)

New Gramians for Switched Linear Systems: Reachability, Observability, and Model Reduction. - Igor Pontes Duff; Sara Grundel; Peter Benner (IEEE Trans. Autom. Control., 2020)

SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm. - Peter Benner; Steffen W. R. Werner (Zenodo, 2020)

Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems. - Peter Benner; Steffen W. R. Werner (Zenodo, 2020)

M-M.E.S.S. - The Matrix Equation Sparse Solver Library. - Jens Saak; Martin Köhler; Peter Benner (Zenodo, 2020)

Collected MATLAB solvers for large-scale AREs. - Jens Saak; Patrick Kürschner; Zvonimir Bujanovic; Peter Benner (Zenodo, 2020)

Structure-preserving interpolation of bilinear control systems. - Peter Benner; Serkan Gugercin; Steffen W. R. Werner (Adv. Comput. Math., 2021)

Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations. - Maximilian Behr; Peter Benner; Jan Heiland (Appl. Math. Comput., 2021)

Structure-preserving interpolation for model reduction of parametric bilinear systems. - Peter Benner; Serkan Gugercin; Steffen W. R. Werner (Autom., 2021)

Reduced basis method for the nonlinear Poisson-Boltzmann equation regularized by the range-separated canonical tensor format. - Cleophas Kweyu; Lihong Feng; Matthias Stein; Peter Benner (CoRR, 2021)

LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. - Pawan Goyal 003; Peter Benner (CoRR, 2021)

Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of Parametric Systems in Electromagnetics. - Sridhar Chellappa; Lihong Feng; Valentin de la Rubia; Peter Benner (CoRR, 2021)

Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities. - Neeraj Sarna; Peter Benner (CoRR, 2021)

Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approach. - Pawan Goyal 003; Peter Benner (CoRR, 2021)

A Greedy Data Collection Scheme For Linear Dynamical Systems. - Karim Cherifi; Pawan Goyal 003; Peter Benner (CoRR, 2021)

Next-Gen Gas Network Simulation. - Christian Himpe; Sara Grundel; Peter Benner (CoRR, 2021)

Learning reduced order models from data for hyperbolic PDEs. - Neeraj Sarna; Peter Benner (CoRR, 2021)

Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint. - Pawan Goyal 003; Peter Benner (CoRR, 2021)

Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations. - Peter Benner; Bruno Iannazzo; Beatrice Meini; Davide Palitta (CoRR, 2021)

Fast A Posteriori State Error Estimation for Reliable Frequency Sweeping in Microwave Circuits via the Reduced-Basis Method. - Valentin de la Rubia; Sridhar Chellappa; Lihong Feng; Peter Benner (CoRR, 2021)

Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. - Pawan Goyal 003; Peter Benner (CoRR, 2021)

Model order reduction for bilinear control systems with inhomogeneous initial conditions. - Xingang Cao; Peter Benner; Igor Pontes Duff; Wil H. A. Schilders (Int. J. Control, 2021)

Introduction to the Special Issue related to the Power-Aware Computing Workshop 2019 - PACO 2019. - Peter Benner; Enrique S. Quintana-Ortí; Jens Saak (Int. J. High Perform. Comput. Appl., 2021)

Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. - Mian Muhammad Arsalan Asif; Mian Ilyas Ahmad; Peter Benner; Lihong Feng; Tatjana Stykel (J. Frankl. Inst., 2021)

A Training Set Subsampling Strategy for the Reduced Basis Method. - Sridhar Chellappa; Lihong Feng; Peter Benner (J. Sci. Comput., 2021)

A Rational Even-IRA Algorithm for the Solution of T-Even Polynomial Eigenvalue Problems. - Peter Benner; Heike Faßbender; Philip Saltenberger (SIAM J. Matrix Anal. Appl., 2021)

Interpolation-Based Model Order Reduction for Polynomial Systems. - Peter Benner; Pawan Goyal 003 (SIAM J. Sci. Comput., 2021)

Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. - Peter Benner; Venera Khoromskaia; Boris N. Khoromskij; Cleophas Kweyu; Matthias Stein (SIAM J. Sci. Comput., 2021)

Factorized solution of generalized stable Sylvester equations using many-core GPU accelerators. - Peter Benner; Ernesto Dufrechou; Pablo Ezzatti; Rodrigo Gallardo; Enrique S. Quintana-Ortí (J. Supercomput., 2021)

SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm. - Peter Benner; Steffen W. R. Werner (Zenodo, 2021)

SOLBT - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems. - Peter Benner; Steffen W. R. Werner (Zenodo, 2021)

M-M.E.S.S. - The Matrix Equation Sparse Solver Library. - Jens Saak; Martin Köhler; Peter Benner (Zenodo, 2021)

Multivariate moment-matching for model order reduction of quadratic-bilinear systems using error bounds. - Muhammad Altaf Khattak; Mian Ilyas Ahmad; Lihong Feng; Peter Benner (Adv. Model. Simul. Eng. Sci., 2022)

Compact thermo-mechanical models for the fast simulation of machine tools with nonlinear component behavior. - Julia Vettermann; Alexander Steinert; Christian Brecher; Peter Benner; Jens Saak (Autom., 2022)

Robust output-feedback stabilization for incompressible flows using low-dimensional ℋ∞ -controllers. - Peter Benner; Jan Heiland; Steffen W. R. Werner (Comput. Optim. Appl., 2022)

The Hamiltonian Extended Krylov Subspace Method. - Peter Benner; Heike Faßbender; Michel-Niklas Senn (CoRR, 2022)

Krylov techniques for low-rank ADI. - Peter Benner; Davide Palitta; Jens Saak (CoRR, 2022)

Neural ODEs with Irregular and Noisy Data. - Pawan Goyal 003; Peter Benner (CoRR, 2022)

Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem. - Björn Baran; Peter Benner; Jens Saak (CoRR, 2022)

Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning. - Pawan Goyal 003; Peter Benner (CoRR, 2022)

Convolutional Neural Networks for Very Low-Dimensional LPV Approximations of Incompressible Navier-Stokes Equations. - Jan Heiland; Peter Benner; Rezvan Bahmani (Frontiers Appl. Math. Stat., 2022)

Efficient and accurate algorithms for solving the Bethe-Salpeter eigenvalue problem for crystalline systems. - Peter Benner; Carolin Penke (J. Comput. Appl. Math., 2022)

Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues. - Peter Benner; Xin Liang 004 (Numer. Linear Algebra Appl., 2022)

Stable and Efficient Computation of Generalized Polar Decompositions. - Peter Benner; Yuji Nakatsukasa; Carolin Penke (SIAM J. Matrix Anal. Appl., 2022)

Parallel Algorithms for Tensor Train Arithmetic. - Hussam Al Daas; Grey Ballard; Peter Benner (SIAM J. Sci. Comput., 2022)

Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems With Quadratic Outputs. - Peter Benner; Pawan Goyal 003; Igor Pontes Duff (IEEE Trans. Autom. Control., 2022)

Model Order Reduction for Delayed PEEC Models With Guaranteed Accuracy and Observed Stability. - Lihong Feng; Luigi Lombardi; Peter Benner; Daniele Romano; Giulio Antonini (IEEE Trans. Circuits Syst. I Regul. Pap., 2022)

M-M.E.S.S. - The Matrix Equation Sparse Solver Library. - Jens Saak; Martin Köhler; Peter Benner (Zenodo, 2022)

Operator Inference for Quadratic Manifold Encodings. - Jan Heiland; Pawan Goyal 003; Igor Pontes Duff; Peter Benner (Zenodo, 2022)

MaRDIFlow: A Workflow Framework for Documentation and Integration of FAIR Computational Experiments. - Pavan L. Veluvali; Jan Heiland; Peter Benner (CoRDI, 2023)

Adomian Decomposition Method in The Theory of Nonlinear Periodic Boundary Value Problems with Delay. - Peter Benner; Sergey Chuiko; Viktor Chuiko (DSMSI (1), 2023)

Improved Projective Dynamics Global Using Snapshots-based Reduced Bases. - Shaimaa Monem Abdelhafez; Peter Benner; Christian Lessig (SIGGRAPH Posters, 2023)

Multi-fidelity error estimation accelerates greedy model reduction of complex dynamical systems. - Lihong Feng; Luigi Lombardi; Giulio Antonini; Peter Benner (CoRR, 2023)

Dominant Subspaces of High-Fidelity Nonlinear Structured Parametric Dynamical Systems and Model Reduction. - Pawan Goyal 003; Igor Pontes Duff; Peter Benner (CoRR, 2023)

Inference of Continuous Linear Systems from Data with Guaranteed Stability. - Pawan Goyal 003; Igor Pontes Duff; Peter Benner (CoRR, 2023)

A weighted subspace exponential kernel for support tensor machines. - Kirandeep Kour; Sergey Dolgov; Peter Benner; Martin Stoll; Max Pfeffer (CoRR, 2023)

Parametric Dynamic Mode Decomposition for nonlinear parametric dynamical systems. - Shuwen Sun; Lihong Feng; Hoon Seng Chan; Tamara Milicic; Tanja Vidakovic-Koch; Peter Benner (CoRR, 2023)

Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems. - Jingjing Zhang; Jan Heiland; Peter Benner; Xin Du (CoRR, 2023)

Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems. - Harshit Kapadia; Lihong Feng; Peter Benner (CoRR, 2023)

Towards a Benchmark Framework for Model Order Reduction in the Mathematical Research Data Initiative (MaRDI). - Peter Benner; Kathryn Lund; Jens Saak (CoRR, 2023)

Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure. - Sridhar Chellappa; Lihong Feng; Peter Benner (CoRR, 2023)

Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems. - Süleyman Yildiz; Pawan Goyal 003; Thomas Bendokat; Peter Benner (CoRR, 2023)

Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems. - Süleyman Yildiz; Pawan Goyal 003; Peter Benner (CoRR, 2023)

Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference. - Pawan Goyal 003; Igor Pontes Duff; Peter Benner (CoRR, 2023)

A Robust SINDy Approach by Combining Neural Networks and an Integral Form. - Ali Forootani; Pawan Goyal 003; Peter Benner (CoRR, 2023)

Interpolatory H2-optimality Conditions for Structured Linear Time-invariant Systems. - Petar Mlinaric; Peter Benner; Serkan Gugercin (CoRR, 2023)

Fast and Reliable Reduced-Order Models for Cardiac Electrophysiology. - Sridhar Chellappa; Baris Cansiz; Lihong Feng; Peter Benner; Michael Kaliske (CoRR, 2023)

Efficient Structure-preserving Support Tensor Train Machine. - Kirandeep Kour; Sergey Dolgov; Martin Stoll; Peter Benner (J. Mach. Learn. Res., 2023)

A low-rank solution method for Riccati equations with indefinite quadratic terms. - Peter Benner; Jan Heiland; Steffen W. R. Werner (Numer. Algorithms, 2023)

On an integrated Krylov-ADI solver for large-scale Lyapunov equations. - Peter Benner; Davide Palitta; Jens Saak (Numer. Algorithms, 2023)

M-M.E.S.S. - The Matrix Equation Sparse Solver Library. - Jens Saak; Martin Köhler; Peter Benner (Zenodo, 2023)

mini-MORB (Model Order Reduction Benchmarker). - Kathryn Lund; Jens Saak; Peter Benner (Zenodo, 2023)

MORLAB - Model Order Reduction LABoratory. - Peter Benner; Jens Saak; Steffen W. R. Werner (Zenodo, 2023)

A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices. - Peter Benner; Yuji Nakatsukasa; Carolin Penke (SIAM J. Matrix Anal. Appl., 2023)

Projective lag quasi-synchronization of coupled systems with mixed delays and parameter mismatch: a unified theory. - Vipin Kumar 003; Jan Heiland; Peter Benner (Neural Comput. Appl., 2023)

A unifying framework for tangential interpolation of structured bilinear control systems. - Peter Benner; Serkan Gugercin; Steffen W. R. Werner (Numerische Mathematik, 2023)

Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales. - Vipin Kumar 003; Jan Heiland; Peter Benner (Neural Process. Lett., 2023)

Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems. - Petar Mlinaric; Peter Benner; Serkan Gugercin (CoRR, 2024)

Numerical methods for closed-loop systems with non-autonomous data. - B. Baran; Peter Benner; Jens Saak; Tony Stillfjord (CoRR, 2024)

Learning reduced-order Quadratic-Linear models in Process Engineering using Operator Inference. - Ion Victor Gosea; Luisa Peterson; Pawan Goyal 003; Jens Bremer; Kai Sundmacher; Peter Benner (CoRR, 2024)

Stability-Certified Learning of Control Systems with Quadratic Nonlinearities. - Igor Pontes Duff; Pawan Goyal 003; Peter Benner (CoRR, 2024)

MaRDIFlow: A CSE workflow framework for abstracting meta-data from FAIR computational experiments. - Pavan L. Veluvali; Jan Heiland; Peter Benner (CoRR, 2024)

GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations. - Ali Forootani; Peter Benner (CoRR, 2024)

Divergence-free neural operators for stress field modeling in polycrystalline materials. - Mohammad Khorrami; Pawan Goyal 003; Jaber Rezaei Mianroodi; Bob Svendsen; Peter Benner; Dierk Raabe (CoRR, 2024)

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction. - Celine Reddig; Pawan Goyal 003; Igor Pontes Duff; Peter Benner (CoRR, 2024)

Data-Augmented Predictive Deep Neural Network: Enhancing the extrapolation capabilities of non-intrusive surrogate models. - Shuwen Sun; Lihong Feng; Peter Benner (CoRR, 2024)

Discrete empirical interpolation in the tensor t-product framework. - Sridhar Chellappa; Lihong Feng; Peter Benner (CoRR, 2024)

Estimates of the Kolmogorov n-Width for Nonlinear Transformations With Application to Distributed-Parameter Control Systems. - Alexander Zuyev 001; Lihong Feng; Peter Benner (IEEE Control. Syst. Lett., 2024)

Model reduction for second-order systems with inhomogeneous initial conditions. - Jennifer Przybilla; Igor Pontes Duff; Peter Benner (Syst. Control. Lett., 2024)

Parameterized Interpolation of Passive Systems. - Peter Benner; Pawan Goyal 003; Paul Van Dooren (SIAM J. Matrix Anal. Appl., 2024)

Rank-Minimizing and Structured Model Inference. - Pawan Goyal 003; Benjamin Peherstorfer; Peter Benner (SIAM J. Sci. Comput., 2024)

Model reduction for systems in non-standard form. - Jennifer Przybilla; Igor Pontes Duff; Peter Benner (Zenodo, 2024)

Structured interpolation for multivariate transfer functions of quadratic-bilinear systems. - Peter Benner; Serkan Gugercin; Steffen W. R. Werner (Adv. Comput. Math., 2024)

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction. - Celine Reddig; Pawan Goyal 003; Igor Pontes Duff; Peter Benner (Zenodo, 2024)

Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction. - Pawan Goyal 003; Igor Pontes Duff; Peter Benner (Adv. Comput. Math., 2024)

Semi-active damping optimization of vibrational systems using the reduced basis method. - Jennifer Przybilla; Igor Pontes Duff; Peter Benner (Adv. Comput. Math., 2024)

Balanced truncation for quadratic-bilinear control systems. - Peter Benner; Pawan Goyal 003 (Adv. Comput. Math., 2024)

Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric Constraint. - Yevgeniia Yevgenieva; Alexander L. Zuyev; Peter Benner; Andreas Seidel-Morgenstern (J. Optim. Theory Appl., 2024)

An Active Sampling Strategy for Quadrature-based Balanced Truncation for Structured Linear Systems. - Celine Reddig; Igor Pontes Duff; Pawan Goyal 003; Peter Benner (Zenodo, 2024)

Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics. - Pawan Goyal 003; Süleyman Yildiz; Peter Benner (Zenodo, 2024)

Structure-preserving learning for multi-symplectic PDEs. - Süleyman Yildiz; Pawan Goyal 003; Peter Benner (Zenodo, 2024)

A posteriori error estimation for model order reduction of parametric systems. - Lihong Feng; Sridhar Chellappa; Peter Benner (Adv. Model. Simul. Eng. Sci., 2024)

Digital twins in process engineering: An overview on computational and numerical methods. - Luisa Peterson; Ion Victor Gosea; Peter Benner; Kai Sundmacher (Comput. Chem. Eng., 2025)

Iterative Approximations of Periodic Trajectories for Nonlinear Systems With Discontinuous Inputs. - Alexander Zuyev 001; Peter Benner (IEEE Control. Syst. Lett., 2025)

A robust sparse identification of nonlinear dynamics approach by combining neural networks and an integral form. - Ali Forootani; Pawan Goyal 003; Peter Benner (Eng. Appl. Artif. Intell., 2025)

Deep learning for structure-preserving universal stable Koopman-inspired embeddings for nonlinear canonical Hamiltonian dynamics. - Pawan Goyal 003; Süleyman Yildiz; Peter Benner (Mach. Learn. Sci. Technol., 2025)

Interpolatory ( boldsymbol {{ mathcal {H}}_{2}} )-optimality Conditions for Structured Linear Time-invariant Systems. - Petar Mlinaric; Peter Benner; Serkan Gugercin (SIAM J. Numer. Anal., 2025)

Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation Using the Range-Separated Tensor Format. - Cleophas Kweyu; Venera Khoromskaia; Boris N. Khoromskij; Matthias Stein; Peter Benner (SIAM J. Sci. Comput., 2025)

Parametric Dynamic Mode Decomposition for nonlinear parametric dynamical systems. - Shuwen Sun; Lihong Feng; Hoon Seng Chan; Tamara Milicic; Tanja Vidakovic-Koch; Fridolin Röder; Peter Benner (Zenodo, 2025)

Parametric Interpolation Model Order Reduction on Grassmann Manifolds by Parallelization. - Kang-Li Xu; Zhen Li; Peter Benner (IEEE Trans. Circuits Syst. II Express Briefs, 2025)

M-M.E.S.S. - The Matrix Equation Sparse Solver Library. - Jens Saak; Martin Köhler; Peter Benner (Zenodo, 2025)

A mesh-free hybrid Chebyshev-Tucker tensor format with applications to multi-particle modelling. - Peter Benner; Boris N. Khoromskij; Venera Khoromskaia; Bonan Sun (CoRR, 2025)

On the representation of energy-preserving quadratic operators with application to Operator Inference. - Leonidas Gkimisis; Igor Pontes Duff; Pawan Goyal 003; Peter Benner (CoRR, 2025)

Exponential synchronization of bi-directional associative memory neural networks with delay on arbitrary time domains. - Vipin Kumar 003; Jan Heiland; Peter Benner (Neural Comput. Appl., 2025)

Subspace-Distance-Enabled Active Learning for Efficient Data-Driven Model Reduction of Parametric Dynamical Systems. - Harshit Kapadia; Peter Benner; Lihong Feng (CoRR, 2025)

Interpretable Spatial-Temporal Fusion Transformers: Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs. - Shuwen Sun; Lihong Feng; Peter Benner (CoRR, 2025)

A CFL-type Condition and Theoretical Insights for Discrete-Time Sparse Full-Order Model Inference. - Leonidas Gkimisis; Süleyman Yildiz; Peter Benner; Thomas Richter 003 (CoRR, 2025)

Inference of Substructured Reduced-Order Models for Dynamic Contact from Contact-free Simulations. - Diana Manvelyan-Stroot; Yevgeniya Filanova; Igor Pontes Duff; Peter Benner; Utz Wever (CoRR, 2025)

An adaptive scheme for the optimization of damping positions by decoupling controllability spaces in vibrational systems. - Jennifer Przybilla; Matea Ugrica Vukojevic; Ninoslav Truhar; Peter Benner (CoRR, 2025)

Approximate balanced truncation for linear structured systems based on greedy numerical integration. - Celine Reddig; Igor Pontes Duff; Pawan Goyal 003; Peter Benner (Autom., 2025)

Structure-preserving learning for multi-symplectic PDEs. - Süleyman Yildiz; Pawan Goyal 003; Peter Benner (Adv. Model. Simul. Eng. Sci., 2025)