Numerical Clifford Analysis for Nonlinear Schrodinger Problem
Numerical Analysis
2011-02-17 v2 Complex Variables
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.
Cite
@article{arxiv.0706.0433,
title = {Numerical Clifford Analysis for Nonlinear Schrodinger Problem},
author = {P. Cerejeiras and N. Faustino and N. Vieira},
journal= {arXiv preprint arXiv:0706.0433},
year = {2011}
}