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K. Theodoropoulos Y.-H. Qian and I. G. Kevrekidis
``Coarse" stability and bifurcation analysis using timesteppers:
a reaction diffusion example
Proc. Natl. Acad. Sci. USA 97(18) (2000), pp.9840-9843.
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C. W. Gear, I. G. Kevrekidis and K. Theodoropoulos,
``Coarse" Integration/Bifurcation Analysis via Microscopic
Simulators: micro-Galerkin methods,
Comp. Chem. Engng. 26 (2002) pp.941-963
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I. G. Kevrekidis, C. W. Gear, J. M. Hyman, P. G. Kevrekidis,
O. Runborg and K. Theodoropoulos,
Equation-free coarse-grained multiscale computation: enabling microscopic
simulators to perform system-level tasks,
Comm. Math. Sciences 1(4) (2003) pp.715-762;
original version: physics/0209043 at arXiv.org.
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- I. G. Kevrekidis, C. William Gear and G. Hummer, Equation-free: the computer-assisted analysis of complex, multiscale systems
A.I.Ch.E Journal, 50(7) (2004) pp.1346-1354.
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D. Barkley, I. G. Kevrekidis, and A.M. Stuart,
The Moment Map: Nonlinear Dynamics of Density Evolution Via a Few
Moments SIADS (to appear).
Dwight Barkley
2006-03-13