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List of works by Peter Benner

<formula formulatype="inline"><tex Notation="TeX">${\cal L}_{\infty}$</tex></formula>-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils

scientific article published in January 2012

A Fully Adaptive Scheme for Model Order Reduction Based on Moment Matching

scientific article published in December 2015

A Hamiltonian Krylov–Schur-type method based on the symplectic Lanczos process

scientific article published in August 2011

A New Error Estimator for Reduced-Order Modeling of Linear Parametric Systems

scientific article published in December 2019

A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems

scientific article published in January 2020

A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems

scientific article published in 2016

A Rational Even-IRA Algorithm for the Solution of $T$-Even Polynomial Eigenvalue Problems

scientific article published in January 2021

A Robust Algorithm for Parametric Model Order Reduction Based on Implicit Moment Matching

A Subspace Framework for ${\mathcal H}_\infty$-Norm Minimization

scientific article published in January 2020

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

article

A discontinuous Galerkin method for optimal control problems governed by a system of convection–diffusion PDEs with nonlinear reaction terms

scientific article published in November 2015

A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function

scientific article published on 17 July 2013

A generalized POD space-time Galerkin scheme for parameter dependent dynamical systems

scientific article published in December 2015

A linear quadratic control problem for the stochastic heat equation driven by Q-Wiener processes

scientific article published in January 2018

A low-rank solution method for Riccati equations with indefinite quadratic terms

scientific article published on 31 May 2022

A mathematical biography of Danny C. Sorensen

article by Peter Benner et al published April 2012 in Linear Algebra and its Applications

A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems

scientific article published on 13 November 2018

A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations

scientific article published in January 2014

A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data

scientific article published in 2022

A parallel, adaptive multi-point model order reduction algorithm

scientific article published in October 2013

A reduced basis approach for calculation of the Bethe–Salpeter excitation energies by using low-rank tensor factorisations

scientific article published on 17 February 2016

A reduced basis method for microwave semiconductor devices with geometric variations

scientific article published in July 2014

A structured pseudospectral method for $$\mathcal {H}_\infty $$ H ∞ -norm computation of large-scale descriptor systems

scientific article published on 20 November 2013

Accelerating PDE constrained optimization by the reducedbasis method: application to batch chromatography

scientific article published on 3 June 2015

Accelerating optimization and uncertainty quantification of nonlinear SMB chromatography using reduced-order models

scientific article published in January 2017

Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems

scientific article published in January 2017

Adaptive basis construction and improved error estimation for parametric nonlinear dynamical systems

scientific article published on 12 August 2020

Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations

scientific article published on 28 August 2014

Algorithm 800

scientific article published on 27 July 2002

Algorithm 854

scientific article published on 25 July 2006

Algorithm 961

scientific article published on 24 May 2016

An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations

scientific article published in January 2015

An H 2 -type error bound for balancing-related model order reduction of linear systems with Lévy noise

scientific article published in July 2017

An improved numerical method for balanced truncation for symmetric second-order systems

scientific article published in December 2013

An inexact low-rank Newton–ADI method for large-scale algebraic Riccati equations

scholarly article by Peter Benner et al published October 2016 in Applied Numerical Mathematics

An isoperimetric optimal control problem for a non-isothermal chemical reactor with periodic inputs

scientific article published in April 2017

Avoiding complex arithmetic in the low-rank ADI method efficiently

scientific article published in December 2012

Balanced Truncation for a Special Class of Bilinear Descriptor Systems

scientific article published in July 2019

Balanced truncation of linear time-invariant systems over finite-frequency ranges

scientific article published on 16 November 2020

Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control

scientific article published in January 2016

Block-Diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs

scientific article published in January 2016

Comparison of model order reduction methods for optimal sensor placement for thermo-elastic models

scientific article published on 22 May 2018

Computation of a compact state space model for an adaptive spindle head configuration with piezo actuators using balanced truncation

scientific article published on 15 September 2012

Computation of thermo-elastic deformations on machine tools a study of numerical methods

scientific article published on 29 April 2016

Computational Experience with a Modified Newton Solver for Discrete-Time Algebraic Riccati Equations

scientific article published on 26 October 2019

Computing All or Some Eigenvalues of Symmetric $\mathcal{H}_{\ell}$-Matrices

scientific article published in January 2012

Computing real low-rank solutions of Sylvester equations by the factored ADI method

scientific article published in May 2014

Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation

scientific article published in April 2019

Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues

scientific article published on 9 May 2022

Convolutional Neural Networks for Very Low-Dimensional LPV Approximations of Incompressible Navier-Stokes Equations

scientific article published in 2022

Cross-Gramian-based dominant subspaces

scientific article published on 19 November 2019

Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models

scientific article published in November 2013

Discovery of nonlinear dynamical systems using a Runge-Kutta inspired dictionary-based sparse regression approach

scientific article published in June 2022

Dual Pairs of Generalized Lyapunov Inequalities and Balanced Truncation of Stochastic Linear Systems

scientific article published in February 2017

Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems

scientific article published in December 2012

Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow

scientific article published in January 2013

Efficient balancing-based MOR for large-scale second-order systems

scientific article published on 25 March 2011

Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method

scientific article published on 15 April 2012

Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell’s Equations

scientific article published in November 2015

Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius

scientific article published in January 2019

Extending lyapack for the solution of band Lyapunov equations on hybrid CPU–GPU platforms

scientific article published on 9 November 2014

Extending the Gauss-Huard method for the solution of Lyapunov matrix equations and matrix inversion

scientific article published on 3 March 2017

Fast A Posteriori State Error Estimation for Reliable Frequency Sweeping in Microwave Circuits via the Reduced-Basis Method

scientific article published in November 2022

Fast Evaluation of Time–Harmonic Maxwell's Equations Using the Reduced Basis Method

scientific article published in June 2013

Fast and Reliable Noise Estimation for Hyperspectral Subspace Identification

scientific article published in June 2015

Fast iterative solution of the Bethe–Salpeter eigenvalue problem using low-rank and QTT tensor approximation

scientific article published in April 2017

Fast solution of Cahn–Hilliard variational inequalities using implicit time discretization and finite elements

scientific article published in April 2014

Frequency- and time-limited balanced truncation for large-scale second-order systems

scientific article published in August 2021

Frequency-Limited Balanced Truncation with Low-Rank Approximations

scientific article published in January 2016

GR decompositions and their relations to Cholesky‐like factorizations

scientific article published in 2021

Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems With Quadratic Outputs

scientific article published in February 2022

Greedy low-rank algorithm for spatial connectome regression

scientific article published on 14 November 2019

Hankel-norm approximation of large-scale descriptor systems

scientific article published on 20 April 2020

High Performance Implementations of the BST Method on Hybrid CPU-GPU Platforms

scientific article published in July 2012

Implicit Volterra series interpolation for model reduction of bilinear systems

scientific article published in May 2017

Index-Aware Model-Order Reduction for a Special Class of Nonlinear Differential-Algebraic Equations

scientific article published on 24 August 2021

Inexact Kleinman-Newton-ADI Method with Line Search to Solve Large-Scale Algebraic Riccati Equations

scientific article published on 2 July 2015

Interpolation-Based ${\cal H}_2$-Model Reduction of Bilinear Control Systems

scientific article published in January 2012

Interpolation-Based Model Order Reduction for Polynomial Systems

scientific article published in January 2021

Introduction

Introduction to Part V: Applications

Introduction to the special issue for EUCCO 2013

scientific article published on 7 August 2015

Iterative solvers for periodic matrix equations and model reduction for periodic control systems

scientific article published in December 2012

Krylov subspace methods for model reduction of quadratic‐bilinear systems

scientific article published on 16 August 2016

Krylov subspace-based model reduction for a class of bilinear descriptor systems

scientific article published in May 2017

LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows

scientific article published in 2015

Large-Scale Computation of $\mathcal{L}_\infty$-Norms by a Greedy Subspace Method

scientific article published in January 2017

Low rank methods for a class of generalized Lyapunov equations and related issues

scientific article published on 15 March 2013

Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations

scientific article published in March 2016

Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems

scientific article published on 11 January 2014

Low-rank solvers for unsteady Stokes–Brinkman optimal control problem with random data

scientific article published in June 2016

Low‐rank linear fluid‐structure interaction discretizations

scientific article published on 11 July 2020

MORLAB – A Model Order Reduction Framework in MATLAB and Octave

scientific article published in 2020

MaRDIFlow: A Workflow Framework for Documentation and Integration of FAIR Computational Experiments

scientific article published on 7 September 2023

MathEnergy – Mathematical Key Technologies for Evolving Energy Grids

scientific article published in 2021

Matrix inversion on CPU-GPU platforms with applications in control theory

scientific article published on 10 October 2012

Model Order Reduction for Delayed PEEC Models With Guaranteed Accuracy and Observed Stability

scientific article published in October 2022

Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective

article

Model Order Reduction for Systems with Moving Loads

scientific article published on 28 June 2014

Model Order Reduction for Thermo-Elastic Assembly Group Models

scientific article published on 7 November 2014

Model Order Reduction: Techniques and Tools

Model Reduction of Parametrized Systems 2015

scientific article published on 28 December 2015

Model order reduction for a family of linear systems with applications in parametric and uncertain systems

scientific article published in January 2015

Model order reduction for bilinear control systems with inhomogeneous initial conditions

scientific article published on 18 March 2020

Model order reduction for delay systems by iterative interpolation

scientific article published on 13 October 2020

Model order reduction for gas and energy networks

scientific article published on 18 July 2021

Model order reduction of parameterized systems (MoRePaS)

scientific article published in October 2015

Model reduction by iterative error system approximation

scientific article published on 23 January 2018

Model reduction for linear simulated moving bed chromatography systems using Krylov-subspace methods

scientific article published on 28 July 2014

Model reduction of an elastic crankshaft for elastic multibody simulations

Model reduction of linear multi-agent systems by clustering with $$\varvec{\mathcal {H}_2}$$ H 2 and $$\varvec{\mathcal {H}_\infty }$$ H ∞ error bounds

scientific article published in March 2018

Modeling Glyphosate aerial spray drift at the Ecuador–Colombia border

scientific article published in January 2016

Multipoint interpolation of Volterra series and H 2 -model reduction for a family of bilinear descriptor systems

scientific article published in November 2016

Nanoelectronic COupled problems solutions - nanoCOPS: modelling, multirate, model order reduction, uncertainty quantification, fast fault simulation

New Gramians for Switched Linear Systems: Reachability, Observability, and Model Reduction

scientific article published in June 2020

Nonlinear Model Order Reduction for Catalytic Tubular Reactors

scientific article published in 2016

Nonlinear model reduction of a continuous fluidized bed crystallizer

scientific article published in December 2015

Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory

scientific article published on 15 July 2015

Numerical Solution of Projected Algebraic Riccati Equations

scientific article published in January 2014

On an integrated Krylov-ADI solver for large-scale Lyapunov equations

scientific article published on 7 October 2022

On error estimation for reduced-order modeling of linear non-parametric and parametric systems

scientific article published in March 2021

On optimality of approximate low rank solutions of large-scale matrix equations

scientific article published in May 2014

On reduced input-output dynamic mode decomposition

scientific article published on 27 February 2018

On the Impact of Optimization on the Time-Power-Energy Balance of Dense Linear Algebra Factorizations

scientific article published in 2013

On the Solution of the Rational Matrix Equation

On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces

scientific article published in January 2016

On the squared Smith method for large-scale Stein equations

scientific article published on 12 December 2013

Optimal damping of selected eigenfrequencies using dimension reduction

scientific article published on 23 December 2011

Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell’s Equations

scientific article published in 2016

PMOR for Nanoelectronic Coupled Problems

scientific article published on 5 January 2016

Parallel Algorithms for Tensor Train Arithmetic

scientific article published in February 2022

Parametric and Reduced-Order Modeling for the Thermal Analysis of Nanoelectronic Structures

scientific article published in 2016

Parametric model order reduction of thermal models using the bilinear interpolatory rational Krylov algorithm

scientific article published on 12 June 2014

Parametric model order reduction with a small ℋ 2 $\mathcal {H}_{2}$ -error using radial basis functions

scientific article published on 18 February 2015

Parametric modeling and model order reduction for (electro-)thermal analysis of nanoelectronic structures

article by Lihong Feng et al published 8 November 2016 in Journal of Mathematics in Industry

Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions

scientific article published in May 2019

Positive operators and stable truncation

scientific article published in June 2016

RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations.

scientific article published on 24 July 2017

Recycling BiCGSTAB with an Application to Parametric Model Order Reduction

scientific article published in January 2015

Reduced Basis Modeling for Uncertainty Quantification of Electromagnetic Problems in Stochastically Varying Domains

scientific article published in 2016

Reduced basis method for the nonlinear Poisson–Boltzmann equation regularized by the range-separated canonical tensor format

scientific article published in 2022

Regularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format

scientific article published in January 2021

Relative perturbation theory for quadratic Hermitian eigenvalue problems

scientific article published in June 2021

Revisiting the Gauss-Huard Algorithm for the Solution of Linear Systems on Graphics Accelerators

scientific article published in 2016

Riccati-based Boundary Feedback Stabilization of Incompressible Navier--Stokes Flows

scientific article published in January 2015

Robust Stabilization of Laminar Flows in Varying Flow Regimes

scientific article published in 2016

Robust output-feedback stabilization for incompressible flows using low-dimensional $$\mathcal {H}_{\infty }$$-controllers

scientific article published on 9 March 2022

Rosenbrock Methods for Solving Riccati Differential Equations

scientific article published in November 2013

Second order to second order balancing for index-1 vibrational systems

scientific article published in December 2012

Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm

scientific article published on 3 May 2015

Simulation of the Glyphosate Spray Drift at the Ecuador-Colombia border

scientific article published in September 2015

Solution formulas for differential Sylvester and Lyapunov equations

scientific article published on 16 November 2019

Solving Matrix Equations on Multi-Core and Many-Core Architectures

scientific article published on 25 November 2013

Spectral characterization and enforcement of negative imaginariness for descriptor systems

scientific article published in August 2013

Stable and Efficient Computation of Generalized Polar Decompositions

scientific article published in 2022

Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model

scientific article published on 22 August 2016

Structure-preserving interpolation of bilinear control systems

scientific article published on 11 May 2021

Structured matrix computations in non-Euclidean geometries: algorithms and applications

scientific article published on 26 February 2014

Subspace recycling accelerates the parametric macro-modeling of MEMS

scientific article published on 6 March 2013

The Hamiltonian extended Krylov subspace method

scientific article published on 27 September 2022

The LR Cholesky algorithm for symmetric hierarchical matrices

scientific article published in August 2013

The Reduced Basis Method for Time-Harmonic Maxwell's Equations

scientific article published in December 2012

The preconditioned inverse iteration for hierarchical matrices

scientific article published on 13 February 2012

Time-dependent Dirichlet Conditions in Finite Element Discretizations

scientific article published on 6 October 2015

Time-varying stabilization of a class of driftless systems satisfying second-order controllability conditions

Tomographic X-ray scattering based on invariant reconstruction: analysis of the 3D nanostructure of bovine bone

scientific article published in April 2021

Towards a benchmark framework for model order reduction in the Mathematical Research Data Initiative (MaRDI)

scientific article published on 12 September 2023

Trigonometric spline and spectral bounds for the solution of linear time-periodic systems

Tuning the Blocksize for Dense Linear Algebra Factorization Routines with the Roofline Model

scientific article published in 2016

Two-Sided Projection Methods for Nonlinear Model Order Reduction

scientific article published in January 2015

UNCERTAINTY QUANTIFICATION FOR MAXWELL'S EQUATIONS USING STOCHASTIC COLLOCATION AND MODEL ORDER REDUCTION

scientific article published in 2015

Unleashing CPU-GPU Acceleration for Control Theory Applications

scientific article published in 2013

Unleashing GPU acceleration for symmetric band linear algebra kernels and model reduction

scientific article published on 16 September 2015

Using surrogate models for efficient optimization of simulated moving bed chromatography

scientific article published in August 2014

ℋ ∞ -Norm Computation for Large and Sparse Descriptor Systems

scientific article published in December 2012

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