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COAPS annually produces numerous refereed publications, technical reports, and theses. Here a user can view a list of our recent (the current calendar year) publications or search for publications of interest. The search page provides a number of user selectable options. Many published abstracts, full manuscripts, and theses can be accessed in PDF format.

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	Record
	Author	Jones, W.B.; O'Brien, J.J.
	Title	Pseudo-spectral methods and linear instabilities in reaction-diffusion fronts			Type	$loc['typeJournal Article']
	Year	1996	Publication	Chaos (Woodbury, N.Y.)	Abbreviated Journal	Chaos
	Volume	6	Issue	2	Pages	219-228
	Keywords
	Abstract	We explore the application of a pseudo-spectral Fourier method to a set of reaction-diffusion equations and compare it with a second-order finite difference method. The prototype cubic autocatalytic reaction-diffusion model as discussed by Gray and Scott [Chem. Eng. Sci. 42, 307 (1987)] with a nonequilibrium constraint is adopted. In a spatial resolution study we find that the phase speeds of one-dimensional finite amplitude waves converge more rapidly for the spectral method than for the finite difference method. Furthermore, in two dimensions the symmetry preserving properties of the spectral method are shown to be superior to those of the finite difference method. In studies of plane/axisymmetric nonlinear waves a symmetry breaking linear instability is shown to occur and is one possible route for the formation of patterns from infinitesimal perturbations to finite amplitude waves in this set of reaction-diffusion equations. (c) 1996 American Institute of Physics.
	Address	Advanced Systems Division, Silicon Graphics Inc., Mountain View, California 94043-1389COAPS, Florida State University, Tallahassee, Florida 32306-3041
	Corporate Author				Thesis
	Publisher		Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	1054-1500	ISBN		Medium
	Area		Expedition		Conference
	Funding	PMID:12780250			Approved	$loc['no']
	Call Number	COAPS @ mfield @			Serial	714
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