Finite difference methods for the wide-angle "parabolic" equation
| dc.contributor.author | Akrivis, G. | en |
| dc.date.accessioned | 2015-11-24T16:38:01Z | |
| dc.date.available | 2015-11-24T16:38:01Z | |
| dc.identifier.issn | 0036-1429 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/7988 | |
| dc.rights | Default Licence | - |
| dc.subject | wide-angle parabolic equation | en |
| dc.subject | underwater acoustics | en |
| dc.subject | finite difference error estimates | en |
| dc.subject | indefinite problems | en |
| dc.subject | interface problems | en |
| dc.subject | ritz-galerkin methods | en |
| dc.title | Finite difference methods for the wide-angle "parabolic" equation | en |
| heal.abstract | We consider a model initial and boundary value problem for the wide-angle "parabolic" equation Lu-r = icu of underwater acoustics, where L is a second-order differential operator in the depth variable z with depth- and range-dependent coefficients. We discretize the problem by the Crank-Nicolson finite difference scheme and also by the forward Euler method using nonuniform partitions both in depth and in range. Assuming that the problem admits a smooth solution, and L is invertible for all r under the posed boundary and interface conditions, we show stability of both schemes and derive error estimates. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000079011900003 | - |
| heal.identifier.secondary | http://epubs.siam.org/doi/abs/10.1137/S0036142996308514 | - |
| heal.journalName | Siam Journal on Numerical Analysis | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1998 | - |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείας | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
Αρχεία
Πρωτότυπος φάκελος/πακέτο
1 - 1 of 1
Φόρτωση...
- Ονομα:
- akrivis-1998-Finite difference methods for the wide-angle parabolic equation.pdf
- Μέγεθος:
- 137.04 KB
- Μορφότυπο:
- Adobe Portable Document Format
Φάκελος/Πακέτο αδειών
1 - 1 of 1
Φόρτωση...
- Ονομα:
- license.txt
- Μέγεθος:
- 1.74 KB
- Μορφότυπο:
- Item-specific license agreed upon to submission
- Περιγραφή: