Reduction of a large system of equations to a lower-dimensional system of similar dynamics is investigated. For dynamical systems with disparate timescales, a criterion for determining redundant dimensions and a general reduction method based on the minimization of evolution rate are proposed
Modelling reaction kinetics in a homogeneous medium usually leads to stiff systems of ordinary diffe...
We present a review of a recently introduced methodology for reducing complexity of large dissipativ...
The paper outlines the current state in the model reduction of systems governing reacting flows by m...
A fully adaptive methodology is developed for reducing the complexity of large dissipative systems. ...
AbstractThree algorithms for the model reduction of large-scale, continuous-time, time-invariant, li...
The algorithm of Maas and Pope (1992) is presented as a method for identification of invariant reduc...
AbstractIn this paper, we propose a model reduction algorithm for approximation of large-scale linea...
We describe model reduction techniques for large scale dynamical systems, modeled via systems of equ...
Many common kinetic model reduction approaches are explicitly based on inherent multiple time scales...
The reduction of dynamical systems has a rich history, with many important applications related to s...
We consider complex dynamical systems showing metastable behavior but no local separation of fast an...
We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some case...
In dissipative ordinary differential equation systems different time scales cause anisotropic phase ...
Dimensionality reduction methods allow for the study of high-dimensional systems by producing low-di...
Chemical reaction systems, including those in combustion, often exhibit a large range of time-scales...
Modelling reaction kinetics in a homogeneous medium usually leads to stiff systems of ordinary diffe...
We present a review of a recently introduced methodology for reducing complexity of large dissipativ...
The paper outlines the current state in the model reduction of systems governing reacting flows by m...
A fully adaptive methodology is developed for reducing the complexity of large dissipative systems. ...
AbstractThree algorithms for the model reduction of large-scale, continuous-time, time-invariant, li...
The algorithm of Maas and Pope (1992) is presented as a method for identification of invariant reduc...
AbstractIn this paper, we propose a model reduction algorithm for approximation of large-scale linea...
We describe model reduction techniques for large scale dynamical systems, modeled via systems of equ...
Many common kinetic model reduction approaches are explicitly based on inherent multiple time scales...
The reduction of dynamical systems has a rich history, with many important applications related to s...
We consider complex dynamical systems showing metastable behavior but no local separation of fast an...
We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some case...
In dissipative ordinary differential equation systems different time scales cause anisotropic phase ...
Dimensionality reduction methods allow for the study of high-dimensional systems by producing low-di...
Chemical reaction systems, including those in combustion, often exhibit a large range of time-scales...
Modelling reaction kinetics in a homogeneous medium usually leads to stiff systems of ordinary diffe...
We present a review of a recently introduced methodology for reducing complexity of large dissipativ...
The paper outlines the current state in the model reduction of systems governing reacting flows by m...