A survey of projection-based model reduction methods for parametric dynamical systems (Q2808259)

scientific article; zbMATH DE number 6583636

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English	A survey of projection-based model reduction methods for parametric dynamical systems	scientific article; zbMATH DE number 6583636

Statements

instance of

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20 May 2016

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full work available at URL

http://hdl.handle.net/1721.1/100939

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zbMATH Keywords

dynamical systems

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parameterized model reduction

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(Petrov-)Galerkin projection

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Krylov subspace method

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moments

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interpolation

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proper orthogonal decomposition

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balanced truncation

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greedy algorithm

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describes a project that uses

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Recycling BiCG with an Application to Model Reduction

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A method for interpolating on manifolds structural dynamics reduced-order models

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An Online Method for Interpolating Linear Parametric Reduced-Order Models

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Nonlinear model order reduction based on local reduced-order bases

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Controller reduction: concepts and approaches

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Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system

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Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips

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Approximation of Large-Scale Dynamical Systems

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Interpolatory Model Reduction of Large-Scale Dynamical Systems

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On two-variable rational interpolation

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Approximation errors and model reduction with an application in optical diffusion tomography

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Missing Point Estimation in Models Described by Proper Orthogonal Decomposition

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Reduced-order modeling of parameterized PDEs using time-space-parameter principal component analysis

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Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems

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A projection method for model reduction of bilinear dynamical systems

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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Hessian-based model reduction for large-scale systems with initial-condition inputs

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Interpolatory Projection Methods for Parameterized Model Reduction

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Model order reduction for linear and nonlinear systems: a system-theoretic perspective

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Parameter preserving model order reduction for MEMS applications

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Interpolatory projection methods for structure-preserving model reduction

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

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Krylov-Subspace Based Model Reduction of Nonlinear Circuit Models Using Bilinear and Quadratic-Linear Approximations

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Two-Sided Projection Methods for Nonlinear Model Order Reduction

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Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems

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

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Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems

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

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

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Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems

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Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey

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Model Order Reduction for PDE Constrained Optimization

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Partial realization of descriptor systems

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Q5316348

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Barycentric Lagrange Interpolation

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Convergence Rates for Greedy Algorithms in Reduced Basis Methods

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Krylov subspace methods for model order reduction of bilinear control systems

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Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space

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Sparse grids

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$h_{2}$-norm optimal model reduction for large scale discrete dynamical MIMO systems

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The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals

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The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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Model Reduction With MapReduce-enabled Tall and Skinny Singular Value Decomposition

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Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems

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Nonlinear Parametric Inversion Using Interpolatory Model Reduction

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Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders

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Interpolation among reduced‐order matrices to obtain parameterized models for design, optimization and probabilistic analysis

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Modelling of fluid-structure interaction

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Adaptive Reduced Basis Methods for Nonlinear Convection–Diffusion Equations

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Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation

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Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation

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On Adaptive Choice of Shifts in Rational Krylov Subspace Reduction of Evolutionary Problems

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Solution of the time-domain inverse resistivity problem in the model reduction framework. I. One-dimensional problem with SISO data

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The Geometry of Algorithms with Orthogonality Constraints

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Parameter multi-domain ‘hp ’ empirical interpolation

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Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients

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Q4654844

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Multi-parameter polynomial order reduction of linear finite element models

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Parameter independent model order reduction

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A Note on Projection Techniques for Model Order Reduction of Bilinear Systems

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Subspace recycling accelerates the parametric macro-modeling of MEMS

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Q3144544

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Multipoint Volterra Series Interpolation and $\mathcal{H}_2$ Optimal Model Reduction of Bilinear Systems

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Large‐Scale Inverse Problems and Quantification of Uncertainty

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Model reduction methods based on Krylov subspaces

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Non‐linear model reduction for uncertainty quantification in large‐scale inverse problems

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Asymptotic waveform evaluation via a Lanczos method

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Model Reduction of MIMO Systems via Tangential Interpolation

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Q3352905

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Q3997987

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Variable-complexity response surface approximations for wing structural weight in HSCT design

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Q4917542

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A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations

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Q3421277

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A Survey of Model Reduction by Balanced Truncation and Some New Results

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$\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems

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A modified low-rank Smith method for large-scale Lyapunov equations

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Model reduction of descriptor systems by interpolatory projection methods

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A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space

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Reduced basis method for finite volume approximations of parametrized linear evolution equations

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Efficient reduced models anda posteriorierror estimation for parametrized dynamical systems by offline/online decomposition

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On the Fast Solving of Parabolic Boundary Control Problems

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Tensor Spaces and Numerical Tensor Calculus

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On stable full-order and reduced-order LQG controllers

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Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition

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Balanced truncation model reduction for systems with inhomogeneous initial conditions

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Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations

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A reduced basis method for microwave semiconductor devices with geometric variations

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Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition

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Data-Driven Parametrized Model Reduction in the Loewner Framework

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Krylov Subspace Methods for Solving Large Lyapunov Equations

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Principal component analysis.

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Projective and coarse projective integration for problems with continuous symmetries

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Bayesian calibration of computer models. (With discussion)

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Q5844054

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Optimal snapshot location for computing POD basis functions

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A subspace approach to balanced truncation for model reduction of nonlinear control systems

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Model Problems for the Multigrid Optimization of Systems Governed by Differential Equations

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Low-Rank Solution of Lyapunov Equations

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A two-directional Arnoldi process and its application to parametric model order reduction

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Hessian‐based model reduction: large‐scale inversion and prediction

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Goal-oriented inference: approach, linear theory, and application to advection diffusion

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Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems

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Krylov Subspace Methods

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Reduced-order fluid/structure modeling of a complete aircraft configuration

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Modeling and control of physical processes using proper orthogonal decomposition

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Balancing and model reduction for second-order form linear systems

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Synthesis of minimum roundoff noise fixed point digital filters

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Reduced basis method for parametrized elliptic optimal control problems

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A ‘best points’ interpolation method for efficient approximation of parametrized functions

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A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations

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Model reduction for control system design

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LQG balancing and reduced LQG compensation of symmetric passive systems†

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Tensor-Train Decomposition

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Stabilized reduced basis method for parametrized advection-diffusion PDEs

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Localized Discrete Empirical Interpolation Method

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A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations

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A New Look at Proper Orthogonal Decomposition

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Positive real and bounded real balancing for model reduction of descriptor systems

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MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION

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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.

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Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.

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A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations

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Turbulence and the dynamics of coherent structures. I. Coherent structures

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Matrix Equation $XA + BX = C$

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A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds

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Gramian-based model reduction for descriptor systems

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Low-rank iterative methods for projected generalized Lyapunov equations

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Krylov subspace methods for projected Lyapunov equations

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Q4337625

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$\mathcal H_2$-optimal model reduction of MIMO systems

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Accuracy-enhancing methods for balancing-related frequency-weighted model and controller reduction.

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Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds

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The ADI minimax problem for complex spectra

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Using Bayesian statistics in the estimation of heat source in radiation

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A method for generating rational interpolant reduced order models of two-parameter linear systems

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ORBIT: Optimization by Radial Basis Function Interpolation in Trust-Regions

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The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

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Accelerating optimization of parametric linear systems by model order reduction

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On $H_2$ model reduction of bilinear systems

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Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography

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Q3128879

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Balanced realization and model reduction for unstable systems

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title

A survey of projection-based model reduction methods for parametric dynamical systems (English)

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Identifiers

zbMATH Open document ID

1339.37089

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DOI

10.1137/130932715

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2808259