Error estimates for finite difference methods for a wide-angle ''parabolic'' equation
| dc.contributor.author | Akrivis, G. D. | en |
| dc.contributor.author | Dougalis, V. A. | en |
| dc.contributor.author | Zouraris, G. E. | en |
| dc.date.accessioned | 2015-11-24T17:02:37Z | |
| dc.date.available | 2015-11-24T17:02:37Z | |
| dc.identifier.issn | 0036-1429 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/11078 | |
| 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 | interface problems | en |
| dc.subject | time-domain solution | en |
| dc.subject | wave-equation | en |
| dc.subject | propagation | en |
| dc.subject | interface | en |
| dc.title | Error estimates for finite difference methods for a wide-angle ''parabolic'' equation | en |
| heal.abstract | We consider a model initial and boundary value problem for a third-order partial differential equation (PDE), a wide-angle ''parabolic'' equation frequently used in underwater acoustics, with depth- and range-dependent coefficients in the presence of horizontal interfaces and dissipation. After commenting on the existence-uniqueness theory of solution of the equation, we discretize the problem by a second-order finite difference method of Crank-Nicolson type for which we prove stability and optimal-order error estimates in suitable discrete L(2)-, H-1- and maximum norms. We also prove, under certain conditions, that the forward Euler scheme is also stable and convergent for the problem at hand. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.journalName | Siam Journal on Numerical Analysis | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1996 | - |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικής | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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