Computational methods for integral equations
Computational methods for integral equations
Matrix computations (3rd ed.)
Computational Methods for Inverse Problems
Computational Methods for Inverse Problems
Deconvolution and regularization for numerical solutions of incorrectly posed problems
Journal of Computational and Applied Mathematics
An efficient algorithm for regularization of Laplace transform inversion in real case
Journal of Computational and Applied Mathematics
Is Gauss Quadrature Better than Clenshaw-Curtis?
SIAM Review
Numerical Methods for Laplace Transform Inversion
Numerical Methods for Laplace Transform Inversion
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In this paper, new algorithms are proposed for Fredholm integral equations of the first kind corresponding to the inverse Laplace transform. We apply high order numerical quadratures to the truncated integral equation and apply regularization to the discretized linear systems. The resulted regularized least square problems are then solved by the reduced QR factorization method. Several examples taken from the literature are tested. Numerical results show that the approximate inverse Laplace transform obtained by our approach can be very accurate.