Parallel Fortran-MPI software for numerical inversion of the Laplace transform and its application to oscillatory water levels in groundwater environments
Environmental Modelling and Software
By: X. Zhan
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Abstract
A parallel Fortran-MPI (Message Passing Interface) software for numerical inversion of the Laplace transform based on a Fourier series method is developed to meet the need of solving intensive computational problems involving oscillatory water level's response to hydraulic tests in a groundwater environment. The software is a parallel version of ACM (The Association for Computing Machinery) Transactions on Mathematical Software (TOMS) Algorithm 796. Running 38 test examples indicated that implementation of MPI techniques with distributed memory architecture speedups the processing and improves the efficiency. Applications to oscillatory water levels in a well during aquifer tests are presented to illustrate how this package can be applied to solve complicated environmental problems involved in differential and integral equations. The package is free and is easy to use for people with little or no previous experience in using MPI but who wish to get off to a quick start in parallel computing. ?? 2004 Elsevier Ltd. All rights reserved.
Suggested Citation
Zhan, X., 2005, Parallel Fortran-MPI software for numerical inversion of the Laplace transform and its application to oscillatory water levels in groundwater environments: Environmental Modelling and Software, v. 20, no. 3, p. 279-284, https://doi.org/10.1016/j.envsoft.2004.05.006.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Parallel Fortran-MPI software for numerical inversion of the Laplace transform and its application to oscillatory water levels in groundwater environments |
| Series title | Environmental Modelling and Software |
| DOI | 10.1016/j.envsoft.2004.05.006 |
| Volume | 20 |
| Issue | 3 |
| Year Published | 2005 |
| Language | English |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Environmental Modelling and Software |
| First page | 279 |
| Last page | 284 |