Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/21441
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dc.contributor.authorSCHUETZ, Jochen-
dc.contributor.authorKAISER, Klaus-
dc.date.accessioned2016-06-07T12:29:26Z-
dc.date.available2016-06-07T12:29:26Z-
dc.date.issued2016-
dc.identifier.citationAPPLIED NUMERICAL MATHEMATICS, 107, p. 18-33-
dc.identifier.issn0168-9274-
dc.identifier.urihttp://hdl.handle.net/1942/21441-
dc.description.abstractIn this publication, we consider IMEX methods applied to singularly perturbed ordinary differential equations. We introduce a new splitting into stiff and non-stiff parts that has a direct extension to systems of conservation laws and investigate its performance analytically and numerically. We show that this splitting can in some cases improve the order of convergence, demonstrating that the phenomenon of order reduction is not only a consequence of the method but also of the splitting.-
dc.description.sponsorshipThe authors would like to thank Sebastian Noelle for fruitful discussions. Furthermore, we would like to thank the anonymous referee for suggestions that helped improving the paper substantially. The second author has been partially supported by DFG project NO 361/3-3 (German Science Foundation).-
dc.language.isoen-
dc.subject.otherIMEX; splittings; van der Pol equation; stiff equations-
dc.titleA new stable splitting for singularly perturbed ODEs-
dc.typeJournal Contribution-
dc.identifier.epage33-
dc.identifier.spage18-
dc.identifier.volume107-
local.bibliographicCitation.jcatA1-
dc.description.notesSchutz, J (reprint author), Hasselt Univ, Fac Sci, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. jochen.schuetz@uhasselt.be-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1016/j.apnum.2016.04.004-
dc.identifier.isi000378447000002-
item.fulltextWith Fulltext-
item.accessRightsOpen Access-
item.validationecoom 2017-
item.contributorSCHUETZ, Jochen-
item.contributorKAISER, Klaus-
item.fullcitationSCHUETZ, Jochen & KAISER, Klaus (2016) A new stable splitting for singularly perturbed ODEs. In: APPLIED NUMERICAL MATHEMATICS, 107, p. 18-33.-
crisitem.journal.issn0168-9274-
crisitem.journal.eissn1873-5460-
Appears in Collections:Research publications
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