A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations
| dc.contributor.author | Akrivis, G. | en |
| dc.contributor.author | Chatzipantelidis, P. | en |
| dc.date.accessioned | 2015-11-24T17:02:15Z | |
| dc.date.available | 2015-11-24T17:02:15Z | |
| dc.identifier.issn | 0036-1429 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/11031 | |
| dc.rights | Default Licence | - |
| dc.subject | parabolic equations | en |
| dc.subject | two-step backward differentiation formula method | en |
| dc.subject | residual | en |
| dc.subject | two-step backward differentiation formula reconstruction | en |
| dc.subject | a posteriori error analysis | en |
| dc.subject | crank-nicolson method | en |
| dc.title | A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations | en |
| heal.abstract | We derive optimal order residual-based a posteriori error estimates for time discretizations by the two-step backward differentiation formula (BDF) method for linear parabolic equations. Appropriate reconstructions of the approximate solution play a key role in the analysis. To utilize the BDF method we employ one step by both the trapezoidal method or the backward Euler scheme. Our a posteriori error estimates are of optimal order for the former choice and suboptimal for the latter. Simple numerical experiments illustrate this behavior. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | Doi 10.1137/090756995 | - |
| heal.journalName | Siam Journal on Numerical Analysis | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2010 | - |
| 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 |
Αρχεία
Πρωτότυπος φάκελος/πακέτο
1 - 1 of 1
Φόρτωση...
- Ονομα:
- akrivis-2010-A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations.pdf
- Μέγεθος:
- 253.4 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: