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
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United States of America Patent
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Issued Date -
Oct 21, 2010
app pub date -
Aug 12, 2008
filing date -
Aug 13, 2007
priority date (Note) -
Abandoned
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Abstract
A table forming unit 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 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.
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