β Scribed by P.G. Massouros; G.M. Genin
No coin nor oath required. For personal study only.
new algebraic scheme for reverting Laplace transforms of smooth functions is presented. Expansion of the Laplace transform F(s) m descending powers of s is used to construct the Taylor semes of the corresponding time function f(t) This is done through entirely algebraic evaluatmns of F(s) at symmetmc points around circles in the complex plane Test functions are used to examine the method and the results show good convergence over a broad region near t = 0. The method ~s especially well-suited to computer-based inversion of Laplace transform.
π SIMILAR VOLUMES
A complex Laplace transform function was inverted by three numerical methods and compared to the small time and large time approximation curves. This technique enabled the best choice of an inversion method to be made, since one method gave excellent results, at both small and large times and moved
A numerical method for inversion of the Laplace transform F p given for p ) 0 only is proposed. Recommendations for the choice of the abscissa of convergence and parameters of numerical integration are given. The results of the numerical tests are discussed.