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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Akrivis, G. | en |
| dc.date.accessioned | 2015-11-24T17:02:57Z | - |
| dc.date.available | 2015-11-24T17:02:57Z | - |
| dc.identifier.issn | 0036-1429 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/11115 | - |
| 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.type | journalArticle | - |
| heal.type.en | Journal article | en |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.language | en | - |
| heal.access | campus | - |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικής | el |
| heal.publicationDate | 1998 | - |
| 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.journalName | Siam Journal on Numerical Analysis | en |
| heal.journalType | peer reviewed | - |
| heal.fullTextAvailability | TRUE | - |
| Appears in Collections: | Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά) | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| akrivis-1998-Finite difference methods for the wide-angle parabolic equation.pdf | 137.04 kB | Adobe PDF | View/Open |
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