Maxwell-Debye和Maxwell-Lorentz方程有限差分格式的冯·诺依曼稳定性分析
Von Neumann Stability Analysis of Finite Difference Schemes for Maxwell--Debye and Maxwell--Lorentz Equations
AI总结：
本文对Maxwell-Debye和Maxwell-Lorentz方程的各种有限差分格式进行了系统严格的冯·诺依曼稳定性分析，延续并完善了Petropoulos的前期工作。
摘要：
本技术报告提供了论文[1]（B. Bidégaray-Fesquet, "Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations", Technical report, LMC-IMAG, 2005）的详细计算，这些计算后来已自动化（参见http://ljk.imag.fr/membres/Brigitte.Bidegaray/NAUtil/）。它涉及Maxwell-Debye和Maxwell-Lorentz方程的各种有限差分格式的稳定性分析。本工作是对Petropoulos前期工作[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）的系统且严格的延续。
英文摘要：
This technical report yields detailed calculations of the paper [1] (B. Bidégaray-Fesquet, "Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations", Technical report, LMC-IMAG, 2005) which have been however automated since (see http://ljk.imag.fr/membres/Brigitte.Bidegaray/NAUtil/). It deals with the stability analysis of various finite difference schemes for Maxwell--Debye and Maxwell--Lorentz equations. This work gives a systematic and rigorous continuation to Petropoulos previous work [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).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
