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On regularization method for numerical inversion of the Laplace transforms computable at any point on the real axis
Published/Copyright:
October 20, 2010
Abstract
The regularized inversion of real-valued Laplace transforms computable at any point on the real axis is discussed from the point of view of practical calculations. New criterion for selection of free parameters is suggested. Selection of optimal values of free parameters allows to improve the numerical results significantly.
The effectiveness of the proposed criterion is demonstrated with examples. Method can be used in conjunction with other numerical methods for problems where the inverse Laplace transform is expected to tend to a monotonic function.
Received: 2010-03-13
Published Online: 2010-10-20
Published in Print: 2010-October
© de Gruyter 2010
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Keywords for this article
Laplace transform;
regularization;
regularization parameter;
numerical inversion
Articles in the same Issue
- An inverse nodal problem for integro-differential operators
- Reconstruction of pressure velocities and boundaries of thin layers in thinly-stratified layers
- Restoration of tape matrices with the help of the spectral date
- On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform
- On regularization method for numerical inversion of the Laplace transforms computable at any point on the real axis
- Discrepancy principle for generalized GN iterations combined with the reverse connection control
- Recovering memory kernels in parabolic transmission problems in infinite time intervals: the non-accessible case
