INVERSE LAPLACE TRANSFORM PROGRAM, PROGRAM FOR FORMING TABLE FOR INVERSE LAPLACE TRANSFORM, PROGRAM FOR CALCULATING NUMERICAL SOLUTION OF INVERSE LAPLACE TRANSFORM, AND INVERSE LAPLACE TRANSFORM DEVICE

摘要

A table creation unit (4) acquires a solution of a simultaneous equation obtained by digitizing the second integral equation derived by the Tikhonov regularization using a weighted square integrable space as an observation space in a weighted reproducing kernel Hilbert space having an origin 0 and formed by absolutely continuous functions. The table creation unit (4) creates an H table describing information containing a numeric solution of the second integral equation based on the solution of the simultaneous equation. An inverse transformation unit (5) references the H table and uses a numeric calculation so as to acquire an inner product of the numeric solution of the second integral equation and the Laplace transformation image multiplied by a softening element function in the weighted square integrable space.