On the numerical inversion of the Laplace transform of certain holomorphic mappings Original Research Article

The paper considers the numerical inversion by means of a quadrature formula based on the sinc function, of the Laplace transform of an original mapping which is analytic in some sector containing the half axis x⩾0x⩾0. It is shown that the classical estimate View the MathML sourceO(e−cn) improves to O(e−cn/lnn)O(e−cn/lnn), where n stands for the number of nodes used in the quadrature. The method is illustrated in the context of an evolutionary equation with memory.