AN ANALYSIS OF BILINEAR TRANSFORM POLYNOMIAL METHODS OF INVERSION OF LAPLACE TRANSFORMS

Methods for the numerical inversion of a Laplace transform F(s) which use a special bilinear transformation of s are particularly effective in many cases and are widely used. The main purpose of this paper is t o analyze the convergence and conditioning properties of a special cla ss of such methods, characterized by the use of Lagrange interpolation . The results derived apply both to complex and real inversion, and sh ow that some known inversion methods are in fact in this class.