When simulating resistive-capacitive circuits or electroquasistatic problems where conductors and insulators coexist, one observes that large time steps or low frequencies lead to numerical instabilities, which are related to the condition number of the system matrix. Here, we propose several stable formulations by scaling the equation systems. This enables a reliable calculation of solutions for very low frequencies (even for the static case), or large time steps. Numerical experiments underline the findings.

翻译：当模拟阻力电路或电振振动电路或电振动器与导体和隔热器共存的电振动问题时,人们会注意到,大时间步骤或低频率会导致与系统矩阵条件号有关的数字不稳定性。在这里,我们建议通过缩放方程系统来提出几种稳定的配方。这样就可以可靠地计算非常低频率(即使是静态的)或大时间步骤的解决方案。数字实验会突出结果。