@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 = {://000237824200015},
author = {Olmos, D. and Shizgal, B. D.}
}
@article {3244,
title = {STRUCTURE OF THE METAL-ELECTROLYTE SOLUTION INTERFACE - THEORETICAL RESULTS FOR SIMPLE-MODELS},
journal = {Journal of Chemical Physics},
volume = {102},
number = {2},
year = {1995},
note = {ISI Document Delivery No.: QA679Times Cited: 19Cited Reference Count: 41},
month = {Jan},
pages = {1024-1033},
type = {Article},
keywords = {CHARGED SURFACES, DIPOLAR HARD-SPHERES, ELECTRICAL DOUBLE-LAYER, HYPERNETTED-CHAIN APPROXIMATION, INFINITE DILUTION, MOLECULAR-SOLVENT MODEL, NONSPHERICAL, NUMERICAL-SOLUTION, PARTICLES, QUANTUM-THEORY, UNIFORM PLANAR WALL},
isbn = {0021-9606},
url = {://A1995QA67900047},
author = {Berard, D. R. and Kinoshita, M. and Ye, X. and Patey, G. N.}
}
@article {2963,
title = {STRUCTURE AND PROPERTIES OF THE METAL-LIQUID INTERFACE},
journal = {Journal of Chemical Physics},
volume = {101},
number = {7},
year = {1994},
note = {ISI Document Delivery No.: PH987Times Cited: 34Cited Reference Count: 36},
month = {Oct},
pages = {6271-6280},
type = {Article},
abstract = {Theoretical results are given for simple dipolar liquids in contact with a metallic slab. The metal is treated by employing a jellium model together with density functional (DF) theory. The liquid structure at the interface is given by the reference hypernetted-chain (RHNC) approximation. The liquid and metal interact electrostatically and the coupled DF/RHNC equations are solved iteratively to obtain electron density distributions and metal-liquid correlation functions which are completely self-consistent. The electron density, liquid structure, and potential. drop across the interface are discussed in detail. It is found that dipoles in contact with the metal prefer to orient perpendicular to the surface with their positive ends out. This is in accord with earlier calculations for dipolar monolayers on metal surfaces. Further from the surface, the dipolar orientations oscillate and the liquid structure rapidly decays to the bulk fluid limit.},
keywords = {AQUEOUS-ELECTROLYTE SOLUTIONS, CAPACITANCE, differential, DIPOLAR HARD-SPHERES, DOUBLE-LAYER, HYPERNETTED-CHAIN APPROXIMATION, IDEALLY POLARIZED ELECTRODE, NONSPHERICAL PARTICLES, NUMERICAL-SOLUTION, ORNSTEIN-ZERNIKE EQUATION, UNIFORM PLANAR WALL},
isbn = {0021-9606},
url = {://A1994PH98700087},
author = {Berard, D. R. and Kinoshita, M. and Ye, X. and Patey, G. N.}
}