Numerical Clifford Analysis for Nonlinear Schrodinger Problem

Details Numerical Clifford Analysis for Nonlinear Schrodinger Problem Numerical Clifford Analysis for Nonlinear Schrodinger Problem

2007-06-04

arxiv.org/abs/0706.0433v2

Numerical Methods for Partial Differential Equations, Vol. 24, no.4, 2008, 1181 - 1202

Mathematics

Numerical Analysis

This article has 6 figures. This article has benn accepted for publication in the Journal of Numerical Methods for Partial Dif

Scientific paper

10.1002/num.20312

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.

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