@article {1512,
	title = {A pseudospectral method of solution of Fisher{\textquoteright}s equation},
	journal = {Journal of Computational and Applied Mathematics},
	volume = {193},
	number = {1},
	year = {2006},
	note = {ISI Document Delivery No.: 046PTTimes Cited: 9Cited Reference Count: 59},
	month = {Aug},
	pages = {219-242},
	type = {Article},
	abstract = {In this paper, we develop an accurate and efficient pseudospectral solution of Fisher{\textquoteright}s equation, a prototypical reaction-diffusion equation. The solutions of Fisher{\textquoteright}s equation are characterized by propagating fronts that can be very steep for large values of the reaction rate coefficient. There is an ongoing effort to better adapt pseudospectral methods to the solution of differential equations with solutions that resemble shock waves or fronts typical of hyperbolic partial differential equations. The collocation method employed is based on Chebyshev-Gauss-Lobatto quadrature points. We compare results for a single domain as well as for a subdivision of the main domain into subintervals. Instabilities that occur in the. numerical solution for a single domain, analogous to those found by others, are attributed to round-off errors arising from numerical features of the discrete second derivative matrix operator. However, accurate stable solutions of Fisher{\textquoteright}s equation are obtained with a multidomain pseudospectral method. A detailed comparison of the present approach with the use of the sinc interpolation is also carried out. (c) 2005 Elsevier B.V. All rights reserved.},
	keywords = {ACCURACY, COLLOCATION METHOD, DISCRETE SINGULAR CONVOLUTION, error, Fisher equation, NUMERICAL-SOLUTION, PARABOLIC EQUATIONS, PARTIAL-DIFFERENTIAL-EQUATIONS, POINTS, pseudospectral method, REACTION-DIFFUSION-EQUATIONS, round-off, sinc interpolation, TRAVELING-WAVE SOLUTIONS},
	isbn = {0377-0427},
	url = {<Go to ISI>://000237824200015},
	author = {Olmos, D. and Shizgal, B. D.}
}
@article {835,
	title = {Constant-volume heat capacity in a near-critical fluid from Monte Carlo simulations},
	journal = {Journal of Chemical Physics},
	volume = {121},
	number = {18},
	year = {2004},
	note = {ISI Document Delivery No.: 866UMTimes Cited: 3Cited Reference Count: 25},
	month = {Nov},
	pages = {8956-8959},
	type = {Article},
	abstract = {We consider a near-critical fluid of hard spheres with short-range interactions (similar tor(-6)) and obtain its constant-volume heat capacity C-V by means of Monte Carlo calculations in the canonical ensemble. The question addressed is whether or not the heat capacities of the finite-size systems studied in simulations can provide a reliable indication of nonclassical criticality. For the model fluid considered here this is found to be the case. The heat capacity along the critical isochore shows a peak near the critical temperature, with a system size dependence that is consistent with the known Ising universality class of the model. The relevance of our results to recent attempts to determine the universality class of ionic fluids through calculations of C-V is briefly discussed. (C) 2004 American Institute of Physics.},
	keywords = {CRITICAL EXPONENTS, CRITICAL REGION, CRITICAL-BEHAVIOR, EXTENSION, LONG-RANGE INTERACTIONS, POINTS, RESTRICTED PRIMITIVE MODEL},
	isbn = {0021-9606},
	url = {<Go to ISI>://000224798900032},
	author = {Daub, C. D. and Camp, P. J. and Patey, G. N.}
}
