On spline regularized inversion of noisy Laplace transforms (Q1372116)

The Laplace transform is converted to an integral equation of the first kind of convolution type, which is an ill-posed problem and used the spline regularization method to solve it. Inversion of perturbed Laplace transforms also plays an important role in system theory. The method is applied to several test examples taken from other research papers. It gives a good approximation to the true solution and compares well with the methods discussed in those research papers. Tables and diagrams are given for several results.