next up previous
Next: About this document ... Up: The Moment Map: Nonlinear Previous: The Moment Map: Nonlinear

Bibliography

1
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.

2
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

3
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.

4
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.

5
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