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

PROBLEM TO BE SOLVED: To provide: an inverse Laplace transformation problem for calculating a numerical solution of an inverse Laplace transformation, when a derivative of an original image is increased, or when the original image does not have an origin 0; a table creation program for an inverse Laplace transformation; a numerical solution calculation program for an inverse Laplace transformation; and an inverse Laplace transformation device.;SOLUTION: A table creation section 4 acquires a solution of a simultaneous equation obtained by discretizing a 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, and creates an H table describing information including a numerical solution of the second integral equation on the basis of the solution of the simultaneous equation. An inverse transformation section 5 references the H table and uses a numerical calculation so as to acquire an inner product of the numerical solution of the second integral equation and the Laplace transformation image multiplied by a softening element function in the weighted square integrable space.;COPYRIGHT: (C)2009,JPO&INPIT