Numerical Inversion of the Laplace Transform from the Real Axis
โ Scribed by Ruben G. Airapetyan; Alexander G. Ramm
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 121 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
A numerical method for inversion of the Laplace transform F p given for p ) 0 only is proposed. Recommendations for the choice of the abscissa of convergence and parameters of numerical integration are given. The results of the numerical tests are discussed.
๐ SIMILAR VOLUMES
Necessary and sufficient conditions are given for a Banach-space-valued function f to be the Laplace-Stieltjes transform of a function of bounded variation. These conditions are used to obtain generation theorems for both absolutely continuous integrated semigroups and Abel summable semigroups.
## Abstract We consider the problem of finding __u__ โ __L__ ^2^(__I__ ), __I__ = (0, 1), satisfying โซ~__I__~ __u__ (__x__ )__x__ d__x__ = __ฮผ__ ~__k__~ , where __k__ = 0, 1, 2, โฆ, (__ฮฑ__ ~__k__~ ) is a sequence of distinct real numbers greater than โ1/2, and **__ฮผ__** = (__ฮผ__ ~__kl__~ ) is a g
## Abstract An efficient and robust method of solving Laplace inverse ransform is proposed based on the wavelet theory. The inverse function is expressed as a wavelet expansion with rapid convergence. Several examples are provided to demonstrate the methodology. As an example of application, the pr