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Numerical Clifford Analysis for Nonlinear Schrodinger Problem
P. Cerejeiras, N. Faustino, N. Vieira
Numerical Methods for Partial Differential Equations, Vol. 24, no.4, 2008, 1181 - 1202
arXiv: 0706.0433v2 - DOI (math.NA)
This article has 6 figures. This article has benn accepted for publication in the Journal of Numerical Methods for Partial Differential Equations
License: not stated (all rights reserved)
Abstract: The aim of this work is to study the numerical solution of the nonlinear Schrodinger problem using a combination between Witt basis and finite difference approximations. We construct a discrete fundamental solution for the non-stationary Schrodinger operator and we show the convergence of the numerical scheme. Numerical examples are given at the end of the paper.
Submitted to arXiv on 04 Jun. 2007