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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/21441

Title: A new stable splitting for singularly perturbed ODEs
Authors: Schütz, Jochen
Kaiser, Klaus
Issue Date: 2016
Abstract: In 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.
Notes: Schutz, J (reprint author), Hasselt Univ, Fac Sci, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. jochen.schuetz@uhasselt.be
URI: http://hdl.handle.net/1942/21441
DOI: 10.1016/j.apnum.2016.04.004
ISI #: 000378447000002
ISSN: 0168-9274
Category: A1
Type: Journal Contribution
Validation: ecoom, 2017
Appears in Collections: Research publications

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