Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/25985
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | KAISER, Klaus | - |
dc.contributor.author | SCHUETZ, Jochen | - |
dc.date.accessioned | 2018-05-16T14:02:30Z | - |
dc.date.available | 2018-05-16T14:02:30Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Journal of computational and applied mathematics, 343, p. 139-154. | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://hdl.handle.net/1942/25985 | - |
dc.description.abstract | We consider a system of singularly perturbed differential equations with singular parameter ε << 1, discretized with an IMEX Runge-Kutta method. The splitting needed for the IMEX method stems from a linearization of the fluxes around the limit solution. We analyze the asymptotic convergence order as ε → 0. We show that in this setting, the stage order of the implicit part of the scheme is of great importance, thereby explaining earlier numerical results showing a close correlation of errors of the splitting scheme and the fully implicit one. | - |
dc.description.sponsorship | The authors would like to thank Sebastian Noelle for fruitful discussions. The first author has been partially supported by the German Research Foundation (DFG) through project NO 361/6-1; his study was supported by the Special Research Fund (BOF) of Hasselt University. | - |
dc.language.iso | en | - |
dc.subject.other | order reduction; RS-IMEX; IMEX Runge-Kutta; singularly perturbed equation; asymptotic convergence order | - |
dc.title | Asymptotic error analysis of an IMEX Runge–Kutta method | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 154 | - |
dc.identifier.spage | 139 | - |
dc.identifier.volume | 343 | - |
local.format.pages | 18 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.cam.2018.04.044 | - |
dc.identifier.isi | 000437820000011 | - |
item.fulltext | With Fulltext | - |
item.contributor | KAISER, Klaus | - |
item.contributor | SCHUETZ, Jochen | - |
item.accessRights | Open Access | - |
item.validation | ecoom 2019 | - |
item.fullcitation | KAISER, Klaus & SCHUETZ, Jochen (2018) Asymptotic error analysis of an IMEX Runge–Kutta method. In: Journal of computational and applied mathematics, 343, p. 139-154.. | - |
crisitem.journal.issn | 0377-0427 | - |
crisitem.journal.eissn | 1879-1778 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
main.pdf | Non Peer-reviewed author version | 306.5 kB | Adobe PDF | View/Open |
Kaiser.pdf Restricted Access | Published version | 630.12 kB | Adobe PDF | View/Open Request a copy |
Page view(s)
68
checked on Sep 7, 2022
Download(s)
202
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.