Computer-Aided Numerical Inversion of Laplace Transform

[摘要] This paper explores the technique for the computer aided numerical inversion of Laplacetransform. The inversion technique is based on the properties of a family of threeparameter exponential probability density functions. The only limitation in thetechnique is the word length of the computer being used. The Laplace transform hasbeen used extensively in the frequency domain solution of linear, lumped time invariantnetworks but its application to the time domain has been limited, mainly because of thedifficulty in finding the necessary poles and residues. The numerical inversion techniquementioned above does away with the poles and residues but uses precomputed numbersto find the time response. This technique is applicable to the solution of partiallydifferentiable equations and certain classes of linear systems with time varyingcomponents.

[学科分类] 电子、光学、磁材料