Space-time parallel parareal algorithms for pattern formation models
| dc.contributor.author | Jiménez-Ciga, Iñigo | |
| dc.contributor.author | Arrarás Ventura, Andrés | |
| dc.contributor.author | Gaspar, F. J. | |
| dc.contributor.author | Portero Egea, Laura | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertistate Publikoa | |
| dc.date.accessioned | 2025-09-05T10:32:30Z | |
| dc.date.issued | 2025-04-28 | |
| dc.date.updated | 2025-09-05T10:31:58Z | |
| dc.description.abstract | In the framework of the numerical solution of evolutionary differential problems, the limitations of sequential computing have prompted the need to design parallel methods. The aim of this paper is to bring together the parallelization in time of the parareal algorithm and that in space of splitting techniques, yielding a new type of space-time parallel methods. Their potential in the context of reaction-diffusion problems is illustrated by solving the Gray-Scott model, a well-known problem in the field of mathematical biology that describes the formation of animal patterns. | en |
| dc.description.sponsorship | The work of Iñigo Jimenez-Ciga was supported by Public University of Navarre (PhD Grant). The work of all the authors was supported by Grant PID2019-105574GB-I00 funded by MCIN/AEI/10.13039/501100011033 and Grant PID2022-140108NB-I00 funded by MCIN/AEI/10.13039/501100011033 and by 'A way of making Europe'. | |
| dc.embargo.lift | 2026-04-28 | |
| dc.embargo.terms | 2026-04-28 | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | Jimenez-Ciga, I., Arrarás, A., Gaspar, F. J., Portero, L. (2025). Space-time parallel parareal algorithms for pattern formation models. In Sequeira, A., Silvestre, A., Valtchev, S. S., Janela J. (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2023: European Conference, September 4-8, Lisbon, Portugal (pp. 1-11). Springer Cham. https://doi.org/10.1007/978-3-031-86169-7_1. | |
| dc.identifier.doi | 10.1007/978-3-031-86169-7_1 | |
| dc.identifier.isbn | 978-3-031-86168-0 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/55004 | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartof | In Sequeira, A.; Silvestre, A.; Valtchev, S. S.; Janela, J. (Eds.). Numerical Mathematics and Advanced Applications ENUMATH 2023: European Conference, September 4-8, Lisbon, Portugal. Cham: Springer Cham; 2025. p. 1-11 978-3-031-86168-0 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105574GB-I00/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-140108NB-I00/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1007/978-3-031-86169-7_1 | |
| dc.rights | © 2025 The Author(s), under exclusive license to Springer Nature Switzerland AG. | |
| dc.rights.accessRights | info:eu-repo/semantics/embargoedAccess | |
| dc.subject | Parareal algorithm | en |
| dc.subject | Space-time parallelization | en |
| dc.subject | Reaction-diffusion systems | en |
| dc.subject | Pattern formation models | en |
| dc.title | Space-time parallel parareal algorithms for pattern formation models | en |
| dc.type | info:eu-repo/semantics/conferenceObject | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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