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: | SCHUETZ, Jochen KAISER, Klaus |
Issue Date: | 2016 | Source: | APPLIED NUMERICAL MATHEMATICS, 107, p. 18-33 | 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 | Keywords: | IMEX; splittings; van der Pol equation; stiff equations | Document URI: | http://hdl.handle.net/1942/21441 | ISSN: | 0168-9274 | e-ISSN: | 1873-5460 | DOI: | 10.1016/j.apnum.2016.04.004 | ISI #: | 000378447000002 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2017 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
stablesplitting_preprint.pdf | Non Peer-reviewed author version | 398.76 kB | Adobe PDF | View/Open |
1-s2.0-S0168927416300423-main.pdf Restricted Access | Published version | 677.64 kB | Adobe PDF | View/Open Request a copy |
SCOPUSTM
Citations
6
checked on Sep 5, 2020
WEB OF SCIENCETM
Citations
11
checked on Apr 22, 2024
Page view(s)
54
checked on Sep 7, 2022
Download(s)
180
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.