Publication Abstracts

Dishon and Weiss 1978

Dishon, M., and G.H. Weiss, 1978: Numerical inversion of Mellin and two-sided Laplace transforms. J. Comput. Phys., 28, 129-132, doi:10.1016/0021-9991(78)90053-0.

The Mellin transform has many uses in physics and applied mathematics, in particular, in the solution of problems of elasticity and in the theory of cosmic ray showers. Recently Tsamasphyros and Theocaris have presented a ethod for numerical inversion of Mellin transforms by expanding the inverse transforms in terms of Laguerre polynomials which was extended by Tsamasphyros and Chrysakis. In this note we express the Mellin transform in terms of a two-sided Laplace transform. We then show that a slight generalization of an algorithm developed by Dubner and Abate and extended by Crump for numerical inversion of the one-sided Laplace transform can be applied successfully to numerical inversion of the two-sided Laplace transform.

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BibTeX Citation

@article{di07000g,
  author={Dishon, M. and Weiss, G. H.},
  title={Numerical inversion of Mellin and two-sided Laplace transforms},
  year={1978},
  journal={Journal of Computational Physics},
  volume={28},
  pages={129--132},
  doi={10.1016/0021-9991(78)90053-0},
}

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RIS Citation

TY  - JOUR
ID  - di07000g
AU  - Dishon, M.
AU  - Weiss, G. H.
PY  - 1978
TI  - Numerical inversion of Mellin and two-sided Laplace transforms
JA  - J. Comput. Phys.
JO  - Journal of Computational Physics
VL  - 28
SP  - 129
EP  - 132
DO  - 10.1016/0021-9991(78)90053-0
ER  -

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