Inverse of a Laplace transform and its numerical evaluation
Technical Report
·
OSTI ID:5620396
The inverse transform of f(s) = ..sqrt..(s) + a/ s(..sqrt..(s) + a + b ..sqrt..(s+c)) a greater than or equal to 0, b greater than or equal to 0, c greater than or equal to 0 is derived using the complex inversion integral. The results are expressed in terms of slowly convergent real integrals which can be converted into more rapidly convergent integrals by evaluating dominant parts analytically. These more rapidly convergent integrals, containing only elementary functions, are suitable for evaluation by numerical quadrature. An alternate form of the inversion is also derived in terms of a convolution integral whose integrand contains an error function. This integral can also be evaluated by numerical quadrature. However, when b/sup 2/ > 1 + a/sup 2//c, the error function becomes complex, making a numerical integration more difficult since complex error functions are not always readily available.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 5620396
- Report Number(s):
- SAND-81-2470; ON: DE82004667
- Country of Publication:
- United States
- Language:
- English
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