A Unifying Framework for Perturbative Exponential Factorizations
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Otros documentos de la autoría: Arnal, A.; Casas, Fernando; Chiralt, Cristina; Oteo, José-Angel
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Título
A Unifying Framework for Perturbative Exponential FactorizationsFecha de publicación
2021-03-17Editor
MDPIISSN
2227-7390Cita bibliográfica
ARNAL, Ana, et al. A Unifying Framework for Perturbative Exponential Factorizations. Mathematics, 2021, 9.6: 637Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.mdpi.com/2227-7390/9/6/637/htmVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
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. [-]
Publicado en
Mathematics 2021, 9(6), 637Entidad financiadora
Ministerio de Ciencia e Innovación (Spain) | Universitat Jaume I
Código del proyecto o subvención
MTM2016-77660-P | PID2019-104927GB-C21 | UJI-B2019-17 | GACUJI/2020/05
Derechos de acceso
info:eu-repo/semantics/openAccess
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- IMAC_Articles [122]
- MAT_Articles [766]
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