A survey of projection-based model reduction methods for parametric dynamical systems
Numerical simulation of large-scale dynamical systems plays a fundamental role in studying
a wide range of complex physical phenomena; however, the inherent large-scale nature of …
a wide range of complex physical phenomena; however, the inherent large-scale nature of …
A literature survey of low‐rank tensor approximation techniques
During the last years, low‐rank tensor approximation has been established as a new tool in
scientific computing to address large‐scale linear and multilinear algebra problems, which …
scientific computing to address large‐scale linear and multilinear algebra problems, which …
-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems
We investigate the optimal model reduction problem for large-scale quadratic-bilinear (QB)
control systems. Our contributions are threefold. First, we discuss the variational analysis …
control systems. Our contributions are threefold. First, we discuss the variational analysis …
[書籍][B] Model order reduction for differential-algebraic equations: a survey
In this paper, we discuss the model order reduction problem for descriptor systems, that is,
systems with dynamics described by differential-algebraic equations. We focus on linear …
systems with dynamics described by differential-algebraic equations. We focus on linear …
Passivity preserving model reduction via spectral factorization
We present a novel model-order reduction (MOR) method for linear time-invariant systems
that preserves passivity and is thus suited for structure-preserving MOR for port-Hamiltonian …
that preserves passivity and is thus suited for structure-preserving MOR for port-Hamiltonian …
Balanced truncation model order reduction in limited time intervals for large systems
P Kürschner - Advances in Computational Mathematics, 2018 - Springer
In this article we investigate model order reduction of large-scale systems using time-limited
balanced truncation, which restricts the well known balanced truncation framework to …
balanced truncation, which restricts the well known balanced truncation framework to …
Data-driven balancing of linear dynamical systems
We present a novel reformulation of balanced truncation, a classical model reduction
method. The principal innovation that we introduce comes through the use of system …
method. The principal innovation that we introduce comes through the use of system …
Frequency-limited balanced truncation with low-rank approximations
In this article we investigate model order reduction of large-scale systems using frequency-
limited balanced truncation, which restricts the well known balanced truncation framework to …
limited balanced truncation, which restricts the well known balanced truncation framework to …
Riemannian preconditioning
This paper exploits a basic connection between sequential quadratic programming and
Riemannian gradient optimization to address the general question of selecting a metric in …
Riemannian gradient optimization to address the general question of selecting a metric in …
Balanced truncation model order reduction for quadratic-bilinear control systems
We discuss balanced truncation model order reduction for large-scale quadratic-bilinear
(QB) systems. Balanced truncation for linear systems mainly involves the computation of the …
(QB) systems. Balanced truncation for linear systems mainly involves the computation of the …