Maxwell--Debye 和 Maxwell--Lorentz 方程有限差分格式的 Von Neumann 稳定性分析
数值分析
2008-02-06 v1
摘要
本技术报告提供了论文 [1] (B. Bid\'egaray-Fesquet, "Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations", Technical report, LMC-IMAG, 2005) 中计算的详细内容，尽管这些计算此后已实现自动化（见 http://ljk.imag.fr/membres/Brigitte.Bidegaray/NAUtil/）。本文讨论了针对 Maxwell--Debye 和 Maxwell--Lorentz 方程的各种有限差分格式的稳定性分析。这项工作是对 Petropoulos 先前工作 [5] (P.G. Petropoulos., "Stability and phase error analysis of FD-TD in dispersive dielectrics", IEEE Transactions on Antennas and Propagation, 42(1):62--69, 1994) 的系统且严谨的延续。
引用
@article{arxiv.0802.0579,
title = {Von Neumann Stability Analysis of Finite Difference Schemes for Maxwell--Debye and Maxwell--Lorentz Equations},
author = {Brigitte Bidégaray-Fesquet},
journal= {arXiv preprint arXiv:0802.0579},
year = {2008}
}
备注
English translation of version 1