A Unifying Framework for Perturbative Exponential Factorizations
View/ Open
Impact
Scholar |
Other documents of the author: Arnal, A.; Casas, Fernando; Chiralt, Cristina; Oteo, José-Angel
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
A Unifying Framework for Perturbative Exponential FactorizationsDate
2021-03-17Publisher
MDPIISSN
2227-7390Bibliographic citation
ARNAL, Ana, et al. A Unifying Framework for Perturbative Exponential Factorizations. Mathematics, 2021, 9.6: 637Type
info:eu-repo/semantics/articlePublisher version
https://www.mdpi.com/2227-7390/9/6/637/htmVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
We propose a framework where Fer and Wilcox expansions for the solution of differential
equations are derived from two particular choices for the initial transformation that seeds the product
expansion. In this ... [+]
We propose a framework where Fer and Wilcox expansions for the solution of differential
equations are derived from two particular choices for the initial transformation that seeds the product
expansion. In this scheme, intermediate expansions can also be envisaged. Recurrence formulas are
developed. A new lower bound for the convergence of theWilcox expansion is provided, as well as
some applications of the results. In particular, two examples are worked out up to a high order of
approximation to illustrate the behavior of the Wilcox expansion. [-]
Is part of
Mathematics 2021, 9(6), 637Funder Name
Ministerio de Ciencia e Innovación (Spain) | Universitat Jaume I
Project code
MTM2016-77660-P | PID2019-104927GB-C21 | UJI-B2019-17 | GACUJI/2020/05
Rights
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- IMAC_Articles [122]
- MAT_Articles [766]
The following license files are associated with this item: