Zobrazeno 1 - 10
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pro vyhledávání: '"Gear, C. W."'
Autor:
Gear, C. W.
In this report we consider the parameterization of low-dimensional manifolds that are specified (approximately) by a set of points very close to the manifold in the original high-dimensional space. Our objective is to obtain a parameterization that i
Externí odkaz:
http://arxiv.org/abs/1208.5246
In [C.W. Gear, T.J. Kaper, I.G. Kevrekidis, and A. Zagaris, Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes, SIAM J. Appl. Dyn. Syst. 4 (2005) 711-732], we developed a class of iterative algorithms within the context of e
Externí odkaz:
http://arxiv.org/abs/0707.1614
The long-term dynamics of many dynamical systems evolve on an attracting, invariant "slow manifold" that can be parameterized by a few observable variables. Yet a simulation using the full model of the problem requires initial values for all variable
Externí odkaz:
http://arxiv.org/abs/physics/0405074
In the context of the recently developed "equation-free" approach to the computer-assisted analysis of complex systems, we illustrate the computation of coarsely self-similar solutions. Dynamic renormalization and fixed point algorithms for the macro
Externí odkaz:
http://arxiv.org/abs/physics/0312142
Autor:
Gear, C. W., Kevrekidis, I. G.
If the dynamics of an evolutionary differential equation system possess a low-dimensional, attracting, slow manifold, there are many advantages to using this manifold to perform computations for long term dynamics, locating features such as stationar
Externí odkaz:
http://arxiv.org/abs/physics/0312094
We have developed and implemented a numerical evolution scheme for a class of stochastic problems in which the temporal evolution occurs on widely-separated time scales, and for which the slow evolution can be described in terms of a small number of
Externí odkaz:
http://arxiv.org/abs/physics/0308040
In "equation-free" multiscale computation a dynamic model is given at a fine, microscopic level; yet we believe that its coarse-grained, macroscopic dynamics can be described by closed equations involving only coarse variables. These variables are ty
Externí odkaz:
http://arxiv.org/abs/nlin/0307016
Autor:
Gear, C. W., Kevrekidis, Ioannis
Using existing, forward-in-time integration schemes, we demonstrate that it is possible to compute unstable, saddle-type fixed points of stiff systems of ODEs when the stable compenents are fast (i.e., rapidly damped) while the unstable components ar
Externí odkaz:
http://arxiv.org/abs/nlin/0302055
Autor:
Gear, C. W., Kevrekidis, Ioannis G.
This note reports on a scheme for interpolating the boundary conditions be- tween non-adjacent modeling regions when the model is based on Monte-Carlo computations of a collection of particles. The scheme conserves particles in a natural way, and the
Externí odkaz:
http://arxiv.org/abs/physics/0211043
Autor:
Gear, C. W.
Publikováno v:
SIAM Review, 1981 Jan 01. 23(1), 10-24.
Externí odkaz:
https://www.jstor.org/stable/2029836
