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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Akrivis, G. D. | en |
| dc.contributor.author | Dougalis, V. A. | en |
| dc.contributor.author | Zouraris, G. E. | en |
| dc.date.accessioned | 2015-11-24T17:00:03Z | - |
| dc.date.available | 2015-11-24T17:00:03Z | - |
| dc.identifier.issn | 0036-1429 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/10698 | - |
| dc.rights | Default Licence | - |
| dc.subject | schrodinger evolution equation | en |
| dc.subject | parabolic approximations | en |
| dc.subject | underwater acoustics | en |
| dc.subject | finite difference error estimates | en |
| dc.subject | variable domain problems | en |
| dc.subject | wave-equation | en |
| dc.subject | numerical-solutions | en |
| dc.subject | interfaces | en |
| dc.title | Finite difference schemes for the "parabolic" equation in a variable depth environment with a rigid bottom boundary condition | 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 | 2001 | - |
| heal.abstract | We consider a linear, Schrodinger-type partial differential equation, the parabolic equation of underwater acoustics, in a layer of water bounded below by a rigid bottom of variable topography. Using a change of depth variable technique we transform the problem into one with horizontal bottom for which we establish an a priori H-1 estimate and prove an optimal-order error bound in the maximum norm for a Crank Nicolson-type finite difference approximation of its solution. We also consider the same problem with an alternative rigid bottom boundary condition due to Abrahamsson and Kreiss and prove again a priori H-1 estimates and optimal-order error bounds for a Crank Nicolson scheme. | 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-2001-Finite difference schemes for the parabolic equation in a variable depth environment with a rigid bottom boundary condition.pdf | 461.02 kB | Adobe PDF | View/Open |
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