Inversion of a Laplace transform arising from a transport delay function
โ Scribed by D.B. Greenberg
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 134 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0009-2509
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๐ SIMILAR VOLUMES
This paper describes a new method for numerical inversion of the Laplace transform based on a conformal mapping of the Bromwich path onto a unit circle. The inversion integral along the unit circle in a complex plane, is obtained numerically using the trapezoidal rule. Some numerical results of the
It is shown that the function [a + (1 + 2 ~) ' / ~] -' , s 2 0, with fixed a > -1, is the Laplace transform of an explicitly given non-negative function &;a), x > 0. This class of functions has easily computable convolutions. This property is used to identify the distribution of a sojourn time integ