Numerical inversion of Laplace transforms
Technical Report
·
OSTI ID:6635170
Approximate formulas in the form of Gauss-type quadrature rules can be written for the complex inversion integral associated with the Laplace transform. Weights and roots are tabulated for up to 30 points. Numerical examples from wave propagation and diffusion illustrate the usage. If the transform comes from an initial-value problem, the inversion can be obtained to arbitrary accuracy by application of the formula in steps. The method of lines for the wave and heat equation using the Gauss formula is analyzed for numerical stability. 14 figures, 3 tables.
- Research Organization:
- Sandia Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- EY-76-C-04-0789
- OSTI ID:
- 6635170
- Report Number(s):
- SAND-78-0450
- Country of Publication:
- United States
- Language:
- English
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