Zobrazeno 1 - 10
of 99
pro vyhledávání: '"C. W. Gear"'
Publikováno v:
Mathematical Modelling of Natural Phenomena. 10:71-90
We study the coarse-grained, reduced dynamics of an agent-based market model due to Omurtag and Sirovich []. We first describe the large agent number, deterministic limit of the system dynamics by performing numerical bifurcation calculations on a co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec70e2b57b46621ce341d6001c73f4f1
https://doi.org/10.1051/mmnp/201510307
https://doi.org/10.1051/mmnp/201510307
Autor:
Juan M. Bello-Rivas, C. W. Gear, Hau-Tieng Wu, Anastasia S. Georgiou, Ioannis G. Kevrekidis, Eliodoro Chiavazzo
Publikováno v:
Entropy; Volume 19; Issue 7; Pages: 294
Entropy, Vol 19, Iss 7, p 294 (2017)
Entropy, Vol 19, Iss 7, p 294 (2017)
In recent work, we have illustrated the construction of an exploration geometry on free energy surfaces: the adaptive computer-assisted discovery of an approximate low-dimensional manifold on which the effective dynamics of the system evolves. Constr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abda4ea38d04a560ebf4ac756acf4eda
http://hdl.handle.net/11583/2677059
http://hdl.handle.net/11583/2677059
Publikováno v:
Journal of Computational and Applied Mathematics. 266:61-72
We introduce radial basis functions (RBFs) whose time-varying coefficients determine not only the amplitude and position of each RBF but also their shape. The intended use of these Time Varying-RBFs (TV-RBFs) is in the local-in-time representation of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f33409da7c46802ccfd77f5937b1831
https://doi.org/10.1016/j.cam.2014.01.018
https://doi.org/10.1016/j.cam.2014.01.018
Publikováno v:
Processes; Volume 2; Issue 1; Pages: 112-140
Processes, Vol 2, Iss 1, Pp 112-140 (2014)
Processes, Vol 2, Iss 1, Pp 112-140 (2014)
The adoption of detailed mechanisms for chemical kinetics often poses two types of severe challenges: First, the number of degrees of freedom is large; and second, the dynamics is characterized by widely disparate time scales. As a result, reactive f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e6f3a105c7621c4b2bfee49dd2c1feb
https://doi.org/10.3390/pr2010112
https://doi.org/10.3390/pr2010112
Publikováno v:
ESAIM : Mathematical Modelling and Numerical Analysis, 43(4), 757-784. EDP Sciences
ESAIM: Mathematical Modelling and Numerical Analysis, 43(4):10.1051/m2an/2009026, 757-784. EDP Sciences
ESAIM : Mathematical Modelling and Numerical Analysis, 43(4), 757-784
ESAIM: Mathematical Modelling and Numerical Analysis, 43(4):10.1051/m2an/2009026, 757-784. EDP Sciences
ESAIM : Mathematical Modelling and Numerical Analysis, 43(4), 757-784
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7687eb6bb2eab16baf60a1dfd038da2
https://hdl.handle.net/11245/1.316739
https://hdl.handle.net/11245/1.316739
Publikováno v:
Multiscale Modeling & Simulation. 4:307-327
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 m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52a1c478b490c2b4e5f51d6d2521bec2
https://doi.org/10.1137/030600874
https://doi.org/10.1137/030600874
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 4:711-732
We consider dynamical systems possessing an attracting, invariant "slow manifold" that can be parameterized by a few observable variables. We present a procedure that, given a process for integrating the system step by step and a set of values of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c5b903890795c5d788287cf8d8da6b2
https://doi.org/10.1137/040608295
https://doi.org/10.1137/040608295
Publikováno v:
Journal of Non-Newtonian Fluid Mechanics. 120:215-223
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 m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb86f55012b33ba13ffac805554ff7d8
https://doi.org/10.1016/j.jnnfm.2003.12.007
https://doi.org/10.1016/j.jnnfm.2003.12.007
Publikováno v:
Journal of Computational Physics. 196:474-489
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48b3746c6bdd7bf5e10eee6c83225aaf
https://doi.org/10.1016/j.jcp.2003.11.005
https://doi.org/10.1016/j.jcp.2003.11.005
Autor:
C. W. Gear, Ioannis G. Kevrekidis
Publikováno v:
Physics Letters A. 321:335-343
Using existing, forward-in-time integration schemes, we demonstrate that under certain conditions it is possible to compute the solution at earlier times, even in the presence of stiffness (for which reverse integration is unstable). This technique c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9c3eefa38cfcfd7bd27fd6424306997
https://doi.org/10.1016/j.physleta.2003.12.041
https://doi.org/10.1016/j.physleta.2003.12.041