We propose a practical tool for evaluating and comparing the accuracy of FDMs for the Helmholtz equation. The tool based on Fourier analysis makes it easy to find wavenumber explicit order of convergence, and can be used for rigorous proof. It fills in the gap between the dispersion analysis and the actual error with source term.

翻译：我们提出了一种用于评估和比较Helmholtz方程有限差分法精度的实用工具。该工具基于傅里叶分析，能够便捷地获得波数显式的收敛阶数，并可用于严格证明。它填补了色散分析与含源项实际误差之间的理论空白。