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Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation

Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation

A method is presented for numerically inverting a Laplace transform that requires, in addition to the transform function itself, only sine, cosine, and exponential functions. The method is conceptually much like the method of Dubner and Abate, which approximates the inverse function by means of a Fourier cosine series. The …