Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/112372
DC Field | Value | Language |
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dc.contributor.author | Clain, Stéphane | - |
dc.contributor.author | Machado, Gaspar J. | - |
dc.contributor.author | Malheiro, M.T. | - |
dc.date.accessioned | 2024-01-30T11:50:59Z | - |
dc.date.available | 2024-01-30T11:50:59Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 08981221 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/112372 | - |
dc.description.abstract | We propose a new class of fourth-and sixth-order schemes in time for parabolic and hyperbolic equations. The method follows the compact scheme methodology by elaborating implicit relations between the approximations of the function and its derivatives. We produce a series of A-stable methods with low dispersion and high accuracy. Several benchmarks for linear and non-linear Ordinary Differential Equations demonstrate the effectiveness of the method. Then a second set of numerical benchmarks for Partial Differential Equations such as convection-diffusion, Schrödinger equation, wave equation, Bürgers, and Euler system give the numerical evidences of the superior advantage of the method with respect to the traditional Runge-Kutta or multistep methods. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | UIDB/04650/2020 | pt |
dc.relation | UIDB/00013/2020 | pt |
dc.relation | UIDP/00013/2020 | pt |
dc.relation | POCI-01-0145-FEDER-028118 | pt |
dc.relation | PTDC/MAT-APL/28118/2017 | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | Compact scheme | pt |
dc.subject | Structural equation | pt |
dc.subject | Time discretization | pt |
dc.subject | Very high-order | pt |
dc.subject | A-stability Dispersion | pt |
dc.title | Compact schemes in time with applications to partial differential equations | pt |
dc.type | article | - |
degois.publication.firstPage | 107 | pt |
degois.publication.lastPage | 125 | pt |
degois.publication.title | Computers and Mathematics with Applications | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1016/j.camwa.2023.03.011 | pt |
degois.publication.volume | 140 | pt |
dc.date.embargo | 2023-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
crisitem.project.grantno | Physics Center of Minho and Porto Universities | - |
crisitem.project.grantno | Center of Mathematics of the University of Minho | - |
crisitem.project.grantno | Center of Mathematics of the University of Minho | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-2295-5118 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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Compact schemes in time with applications to partial differential equations.pdf | 732.42 kB | Adobe PDF | View/Open |
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