INVERSE LAPLACE TRANSFORMATION PROGRAM, PROGRAM FOR CREATING TABLE FOR INVERSE LAPLACE TRANSFORMATION, PROGRAM FOR CALCULATING NUMERICAL SOLUTION OF INVERSE LAPLACE TRANSFORMATION, AND INVERSE LAPLACE TRANSFORMATION DEVICE

摘要

A table forming unit (4) calculates, in a weighted reproducing kernel Hilbert space formed of an absolutely continuous function that is zero at an origin, solutions of simultaneous equations obtained by discretization of an integral equation of the second kind derived from Tikhonov regularization method with a weighted square integrable space used as an observation space, and forms an H table describing information including numerical solution of the integral equation of the second kind based on the solutions of the simultaneous equations. An inverse transform unit (5) obtains, by numerical calculation, an inner product, in the weighted square integrable space, of the numerical solution of the integral equation of the second kind and a Laplace transform image multiplied by a mollifier function with reference to the H table.