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IMA Journal of Applied Mathematics 1968 4(3):320-328; doi:10.1093/imamat/4.3.320
© 1968 by Institute of Mathematics and its Applications
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On the Numerical Inversion of the Laplace Transform of a Discontinuous Original

I. M. LONGMAN *

Department of Applied Mathematics, The Weizmann Institute of Science Rehovot, Israel

A method for approximate numerical Laplace transform inversion is expounded and applied to a particular problem related to theoretical seismology, which has a discontinuous solution. An essential feature is that the representation of the solution in terms of elementary discontinuous functions enables rapid convergence to be obtained.


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