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http://hdl.handle.net/1942/36383
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DC Field | Value | Language |
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dc.contributor.author | SCHUETZ, Jochen | - |
dc.contributor.author | Seal, David C. | - |
dc.contributor.author | ZEIFANG, Jonas | - |
dc.date.accessioned | 2022-01-06T09:13:42Z | - |
dc.date.available | 2022-01-06T09:13:42Z | - |
dc.date.issued | 2022 | - |
dc.date.submitted | 2022-01-05T13:31:10Z | - |
dc.identifier.citation | JOURNAL OF SCIENTIFIC COMPUTING, 90 (1) (Art N° 54) | - |
dc.identifier.issn | 0885-7474 | - |
dc.identifier.uri | http://hdl.handle.net/1942/36383 | - |
dc.description.abstract | In this work, we present a novel class of high-order time integrators for the numerical solution of ordinary differential equations. These integrators are of the two-derivative type, i.e., they take into account not only the first, but also the second temporal derivative of the unknown solution. While being motivated by two-derivative Runge-Kutta schemes, the methods themselves are of the predictor-corrector type, constructed in such a way that time-parallelism through pipelining is possible. This means that predictor and corrector steps can be computed simultaneously on different processors. Two variants are shown, the second-one being of Gauss-Seidel-type and hence having lower storage requirements. It turns out that this second variant is not only low-storage, but also performs better in numerical simulations. The algorithms presented can be cast as implicit two-step-two-derivative-multi-stage methods for which we present a detailed mathematical convergence analysis. Subsequently, numerical results are shown, demonstrating first the algorithms' ability to cope with very stiff equations and showing up to eighth order of accuracy. Following, the parallel-in-time capabilities are illustrated. We conclude that the class of methods is very well-suited if the time parallelization of very stiff equations is an option. | - |
dc.description.sponsorship | This study was initiated during a research stay of D.C. Seal at the University of Hasselt, which was supported by the Special Research Fund (BOF) of Hasselt University. Additional funding came from the Office of Naval Research, Grant numbers N0001419WX01523, N0001420WX00219 and N0001421WX01360. J. Zeifang was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the project GRK 2160/1 ”Droplet Interaction Technologies” and through the project no. 457811052. The HPCresources and services used in this work were provided by the VSC (Flemish Supercomputer Center), funded by the Research Foundation - Flanders (FWO) and the Flemish Government. Special Research Fund (BOF) of Hasselt University; Office of Naval ResearchOffice of Naval Research [N0001419WX01523, N0001420WX00219, N0001421WX01360]; Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)German Research Foundation (DFG) [GRK 2160/1, 457811052]; Research Foundation -Flanders (FWO)FWO; Flemish GovernmentEuropean | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER/PLENUM PUBLISHERS | - |
dc.rights | The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 | - |
dc.subject.other | Multiderivative | - |
dc.subject.other | IMEX | - |
dc.subject.other | Parallelism in time | - |
dc.subject.other | Time integration | - |
dc.title | Parallel-in-Time High-Order Multiderivative IMEX Solvers | - |
dc.type | Journal Contribution | - |
dc.identifier.issue | 1 | - |
dc.identifier.volume | 90 | - |
local.format.pages | 33 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Schutz, J (corresponding author), Univ Hasselt, Fac Sci, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.; Schutz, J (corresponding author), Univ Hasselt, Data Sci Inst, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. | - |
dc.description.notes | jochen.schuetz@uhasselt.be; seal@usna.edu; jonas.zeifang@uhasselt.be | - |
local.publisher.place | 233 SPRING ST, NEW YORK, NY 10013 USA | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.artnr | 54 | - |
local.type.programme | VSC | - |
dc.identifier.doi | 10.1007/s10915-021-01733-3 | - |
dc.identifier.isi | 000731291000005 | - |
dc.identifier.eissn | 1573-7691 | - |
local.provider.type | wosris | - |
local.description.affiliation | [Schutz, Jochen; Zeifang, Jonas] Univ Hasselt, Fac Sci, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. | - |
local.description.affiliation | [Schutz, Jochen; Zeifang, Jonas] Univ Hasselt, Data Sci Inst, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. | - |
local.description.affiliation | [Seal, David C.] US Naval Acad, Dept Math, 572C Holloway Rd, Annapolis, MD 21402 USA. | - |
local.uhasselt.international | yes | - |
item.fullcitation | SCHUETZ, Jochen; Seal, David C. & ZEIFANG, Jonas (2022) Parallel-in-Time High-Order Multiderivative IMEX Solvers. In: JOURNAL OF SCIENTIFIC COMPUTING, 90 (1) (Art N° 54). | - |
item.accessRights | Open Access | - |
item.fulltext | With Fulltext | - |
item.contributor | SCHUETZ, Jochen | - |
item.contributor | Seal, David C. | - |
item.contributor | ZEIFANG, Jonas | - |
item.validation | ecoom 2023 | - |
crisitem.journal.issn | 0885-7474 | - |
crisitem.journal.eissn | 1573-7691 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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paper.pdf | Peer-reviewed author version | 889.79 kB | Adobe PDF | View/Open |
Parallel-in-Time High-Order Multiderivative IMEX Solvers.pdf Restricted Access | Published version | 1.27 MB | Adobe PDF | View/Open Request a copy |
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