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http://hdl.handle.net/1942/32401
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | SCHUETZ, Jochen | - |
dc.contributor.author | Seal, David | - |
dc.date.accessioned | 2020-10-05T12:17:56Z | - |
dc.date.available | 2020-10-05T12:17:56Z | - |
dc.date.issued | 2021 | - |
dc.date.submitted | 2020-10-05T11:44:07Z | - |
dc.identifier.citation | Applied numerical mathematics, 160 , p. 84 -101 | - |
dc.identifier.issn | 0168-9274 | - |
dc.identifier.uri | http://hdl.handle.net/1942/32401 | - |
dc.description.abstract | In this work we construct a multiderivative implicit-explicit (IMEX) scheme for a class of stiff ordinary differential equations (ODEs). Our solver is high-order accurate and has an asymptotic preserving (AP) property for a large class of singularly perturbed ODEs. In this context, the AP property means that the singular limit is discretely preserved when a stiff parameter εgoes to zero. The proposed method is based upon a two-derivative backward Taylor series base solver, which we show has an AP property. Higher order accuracies are found by iterating the result over a high-order multiderivative interpolant of the right hand side function, which we again prove has an AP property. Theoretical results showcasing the asymptotic consistency as well as the high-order accuracy of the solver are presented. In addition, an extension of the solver to an arbitrarily split right hand side function is also offered. Numerical results for a collection of standard test cases from the literature are presented that support the theoretical findings of the paper. | - |
dc.description.sponsorship | This study is the outcome of a research stay of D.C. Seal at the University of Hasselt, which was supported by the Special Research Fund (BOF 19KV14) of Hasselt University. Additional funding for D.C. Seal came from the Office of Naval Research, grant number N0001419WX01523. Some computations have been done on the clusters of the Vlaams Supercomputer Centrum (VSC) | - |
dc.language.iso | en | - |
dc.publisher | - | |
dc.rights | Published by Elsevier B.V. on behalf of IMACS. | - |
dc.subject.other | Multiderivative | - |
dc.subject.other | IMEX | - |
dc.subject.other | Singularly perturbed ODE | - |
dc.subject.other | Asymptotic preserving | - |
dc.title | An asymptotic preserving semi-implicit multiderivative solver | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 101 | - |
dc.identifier.spage | 84 | - |
dc.identifier.volume | 160 | - |
local.bibliographicCitation.jcat | A1 | - |
local.publisher.place | RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.apnum.2020.09.004 | - |
dc.identifier.isi | WOS:000587835300005 | - |
dc.identifier.eissn | 1873-5460 | - |
local.provider.type | - | |
local.uhasselt.uhpub | yes | - |
local.uhasselt.international | yes | - |
item.contributor | SCHUETZ, Jochen | - |
item.contributor | Seal, David | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2021 | - |
item.fullcitation | SCHUETZ, Jochen & Seal, David (2021) An asymptotic preserving semi-implicit multiderivative solver. In: Applied numerical mathematics, 160 , p. 84 -101. | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0168-9274 | - |
crisitem.journal.eissn | 1873-5460 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
paper 1.pdf | Peer-reviewed author version | 340.65 kB | Adobe PDF | View/Open |
1-s2.0-S0168927420302804-main.pdf Restricted Access | Published version | 692.36 kB | Adobe PDF | View/Open Request a copy |
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