Publication: Higher-order averaging, formal series and numerical integration III: error bounds
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.contributor.author | Chartier, P. | |
dc.contributor.author | Murua, A. | |
dc.contributor.author | Sanz Serna, Jesús María | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (España) | es |
dc.date.accessioned | 2021-04-30T09:48:42Z | |
dc.date.available | 2021-04-30T09:48:42Z | |
dc.date.issued | 2015-04-01 | |
dc.description.abstract | In earlier papers, it has been shown how formal series like those used nowadays to investigate the properties of numerical integrators may be used to construct high-order averaged systems or formal first integrals of Hamiltonian problems. With the new approach the averaged system (or the formal first integral) may be written down immediately in terms of (i) suitable basis functions and (ii) scalar coefficients that are computed via simple recursions. Here we show how the coefficients/basis functions approach may be used advantageously to derive exponentially small error bounds for averaged systems and approximate first integrals. | en |
dc.description.sponsorship | A. Murua and J.M. Sanz-Serna have been supported by projects MTM2010-18246-C03-03 and MTM2010-18246-C03-01 respectively from Ministerio de Ciencia e Innovación. | en |
dc.description.status | Publicado | es |
dc.format.extent | 21 | |
dc.identifier.bibliographicCitation | Foundations of Computational Mathematics, (2015), v. 15, p.: 591–612.. | en |
dc.identifier.doi | https://doi.org/10.1007/s10208-013-9175-7 | |
dc.identifier.issn | 1615-3375 | |
dc.identifier.publicationfirstpage | 591 | |
dc.identifier.publicationlastpage | 612 | |
dc.identifier.publicationtitle | FOUNDATIONS OF COMPUTATIONAL MATHEMATICS | en |
dc.identifier.publicationvolume | 15 | |
dc.identifier.uri | https://hdl.handle.net/10016/32515 | |
dc.identifier.uxxi | AR/0000020038 | |
dc.language.iso | eng | en |
dc.publisher | Springer | es |
dc.relation.projectID | Gobierno de España. MTM2010-18246-C03-03 | es |
dc.relation.projectID | Gobierno de España. MTM2010-18246-C03-01 | es |
dc.rights | © SFoCM 2013 | en |
dc.rights.accessRights | open access | es |
dc.subject.eciencia | Matemáticas | es |
dc.subject.other | Averaging | en |
dc.subject.other | High-order averaging | en |
dc.subject.other | Quasi-stroboscopic averaging | en |
dc.subject.other | Highly oscillatory problems | en |
dc.subject.other | Hamiltonian problems | en |
dc.subject.other | Formal series | en |
dc.subject.other | First integrals | en |
dc.subject.other | Near-integrable systems | en |
dc.title | Higher-order averaging, formal series and numerical integration III: error bounds | en |
dc.type | research article | * |
dc.type.hasVersion | AM | * |
dspace.entity.type | Publication |
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