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http://hdl.handle.net/1942/43592
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DC Field | Value | Language |
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dc.contributor.author | THENERY MANIKANTAN, Arjun | - |
dc.contributor.author | SCHUETZ, Jochen | - |
dc.date.accessioned | 2024-08-27T13:31:10Z | - |
dc.date.available | 2024-08-27T13:31:10Z | - |
dc.date.issued | 2024 | - |
dc.date.submitted | 2024-08-12T07:28:38Z | - |
dc.identifier.citation | Applied numerical mathematics, 205 , p. 281 -295 | - |
dc.identifier.issn | 0168-9274 | - |
dc.identifier.uri | http://hdl.handle.net/1942/43592 | - |
dc.description.abstract | In this study, we introduce a multi-step multi-derivative predictor-corrector time integration scheme analogous to the schemes in Schütz et al. (J Sci Comput 90(54):1-33, 2022), incorporating a multi-step quadrature rule. We conduct stability analysis up to order eight and optimize the schemes to achieve A(α)-stability for large α. Numerical experiments are performed on ordinary differential equations exhibiting diverse stiffness conditions, as well as on partial differential equations showcasing non-linearity and higher-order terms. Results demonstrate the convergence and flexibility of the proposed schemes across diverse situations. | - |
dc.description.sponsorship | Arjun Thenery Manikantan was funded by the “Bijzonder Onderzoeksfonds” (BOF) from UHasselt -project no. BOF21KP12. We acknowledge the VSC (Flemish Supercomputer Center) for providing computing resources. The VSC is funded by the Research Foundation - Flanders (FWO) and the Flemish Government. | - |
dc.language.iso | en | - |
dc.publisher | - | |
dc.rights | 2024IMACS.PublishedbyElsevierB.V.All rightsarereserved, includingthosefortextanddatamining,AI training,andsimilar technologies. | - |
dc.subject.other | Multi-derivative | - |
dc.subject.other | Multi-step | - |
dc.subject.other | Time integration | - |
dc.subject.other | Predictor-corrector | - |
dc.subject.other | IVPs 2020 MSC: 65L04 | - |
dc.subject.other | 65L05 | - |
dc.subject.other | 65L20 | - |
dc.subject.other | 65M22 | - |
dc.title | Multi-step Hermite-Birkhoff predictor-corrector schemes | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 295 | - |
dc.identifier.spage | 281 | - |
dc.identifier.volume | 205 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.status | Early view | - |
local.type.programme | VSC | - |
dc.identifier.doi | https://doi.org/10.1016/j.apnum.2024.07.011 | - |
dc.identifier.isi | 001290355200001 | - |
dc.identifier.eissn | 1873-5460 | - |
local.provider.type | - | |
local.uhasselt.international | no | - |
item.fulltext | With Fulltext | - |
item.contributor | THENERY MANIKANTAN, Arjun | - |
item.contributor | SCHUETZ, Jochen | - |
item.embargoEndDate | 2025-02-28 | - |
item.accessRights | Embargoed Access | - |
item.fullcitation | THENERY MANIKANTAN, Arjun & SCHUETZ, Jochen (2024) Multi-step Hermite-Birkhoff predictor-corrector schemes. In: Applied numerical mathematics, 205 , p. 281 -295. | - |
crisitem.journal.issn | 0168-9274 | - |
crisitem.journal.eissn | 1873-5460 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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paper.pdf Until 2025-02-28 | Peer-reviewed author version | 1.52 MB | Adobe PDF | View/Open Request a copy |
1-s2.0-S0168927424001910-main.pdf Restricted Access | Early view | 1.93 MB | Adobe PDF | View/Open Request a copy |
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