非线性 Schrödinger 问题的数值 Clifford 分析
数值分析
2011-02-17 v2 复变函数
摘要
本文旨在研究结合 Witt 基与有限差分近似来数值求解非线性 Schrödinger 问题。我们构造了非定常 Schrödinger 算子的离散基本解,并证明了数值格式的收敛性。论文末尾给出了数值算例。
引用
@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}
}
评论
This article has 6 figures. This article has benn accepted for publication in the Journal of Numerical Methods for Partial Differential Equations