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本文根据Pade近似推导出一种有效的拉氏逆变换的数值方法,克服了传统拉氏逆变换中对每个具体函数都要计算其极点和留数的缺点。改进的步进算法使这种方法在精度上可与极高阶的数值积分算法相比。数值拉氏逆变换的应用使很多网络分析问题得到简化,频域分析的结果在时域分析中得到充分的利用。本文所有工作在IBM-PC机上进行了实例验证。
In this paper, we deduce an effective numerical method of inverse Laplace transform based on Pade approximation and overcome the shortcomings of calculating the poles and the residuals for each concrete function in the traditional inverse Laplace transform. The improved stepping algorithm makes this method more accurate than the very high-order numerical integration algorithm. The application of numerical inverse Laplace transform simplifies many network analysis problems, and the result of frequency domain analysis is fully utilized in time domain analysis. All the work in this paper has been verified by examples on IBM-PC.