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http://hdl.handle.net/1942/42593
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DC Field | Value | Language |
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dc.contributor.author | Moradi, Afsaneh | - |
dc.contributor.author | CHOUCHOULIS, Jeremy | - |
dc.contributor.author | D’Ambrosio, Raffaele | - |
dc.contributor.author | SCHUETZ, Jochen | - |
dc.date.accessioned | 2024-03-12T09:11:34Z | - |
dc.date.available | 2024-03-12T09:11:34Z | - |
dc.date.issued | 2024 | - |
dc.date.submitted | 2024-03-04T07:26:15Z | - |
dc.identifier.citation | NUMERICAL ALGORITHMS, | - |
dc.identifier.issn | 1017-1398 | - |
dc.identifier.uri | http://hdl.handle.net/1942/42593 | - |
dc.description.abstract | We study explicit strong stability preserving (SSP) multiderivative general linear methods (MDGLMs) for the numerical solution of hyperbolic conservation laws. Sufficient conditions for MDGLMs up to four derivatives to be SSP are determined. In this work we describe the construction of two external stages explicit SSP MDGLMs based on Taylor series conditions, and present examples of constructed methods up to order nine and three internal stages along with their SSP coefficients. It is difficult to apply these methods to the discretization of partial differential equations , as higher-order flux derivatives must be calculated analytically, but a Jacobian-free approach based on the recent development of explicit Jacobian-free multistage multiderivative solvers (Chouchoulis et al. in J Sci Comput 90:96, 2022) provides a practical application of MDGLMs. To show the capability of our novel methods in achieving the predicted order of convergence and preserving required stability properties , several numerical test cases for scalar and systems of equations are provided. | - |
dc.description.sponsorship | R. D’Ambrosio is supported by GNCS-INDAM project and PRIN2017-MIUR project 2017JYCLSF “Structure preserving approximation of evolutionary problems.” | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.rights | The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024. | - |
dc.subject.other | Hyperbolic conservation laws | - |
dc.subject.other | Strong stability preserving | - |
dc.subject.other | Multiderivative methods | - |
dc.subject.other | General linear methods | - |
dc.subject.other | Lax-Wendroff | - |
dc.subject.other | Finite differences | - |
dc.title | Jacobian-free explicit multiderivative general linear methods for hyperbolic conservation laws | - |
dc.type | Journal Contribution | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Moradi, A (corresponding author), Univ Aquila, Dept Informat Engn Comp Sci & Math, Laquila, Italy. | - |
dc.description.notes | afsaneh.moradi@univaq.it; jeremy.chouchoulis@uhasselt.be; | - |
dc.description.notes | raffaele.dambrosio@univaq.it; jochen.schuetz@uhasselt.be | - |
local.publisher.place | VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.status | Early view | - |
dc.identifier.doi | 10.1007/s11075-024-01771-6 | - |
dc.identifier.isi | 001174414500001 | - |
dc.identifier.eissn | 1572-9265 | - |
local.provider.type | CrossRef | - |
local.description.affiliation | [Moradi, Afsaneh; D'Ambrosio, Raffaele] Univ Aquila, Dept Informat Engn Comp Sci & Math, Laquila, Italy. | - |
local.description.affiliation | [Chouchoulis, Jeremy; Schutz, Jochen] Hasselt Univ, Fac Sci & Data Sci Inst, Agoralaan Gebouw D, B-3590 Hasselt, Belgium. | - |
local.uhasselt.international | yes | - |
item.fulltext | With Fulltext | - |
item.fullcitation | Moradi, Afsaneh; CHOUCHOULIS, Jeremy; D’Ambrosio, Raffaele & SCHUETZ, Jochen (2024) Jacobian-free explicit multiderivative general linear methods for hyperbolic conservation laws. In: NUMERICAL ALGORITHMS,. | - |
item.embargoEndDate | 2024-09-15 | - |
item.contributor | Moradi, Afsaneh | - |
item.contributor | CHOUCHOULIS, Jeremy | - |
item.contributor | D’Ambrosio, Raffaele | - |
item.contributor | SCHUETZ, Jochen | - |
item.accessRights | Embargoed Access | - |
crisitem.journal.issn | 1017-1398 | - |
crisitem.journal.eissn | 1572-9265 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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Jacobian_Free_MDGLMs_08_02_2023.pdf Until 2024-09-15 | Peer-reviewed author version | 588.99 kB | Adobe PDF | View/Open Request a copy |
s11075-024-01771-6.pdf Restricted Access | Early view | 1.37 MB | Adobe PDF | View/Open Request a copy |
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