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Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

An existence result is presented for the dynamical low rank (DLR) approximation for random semi-linear evolutionary equations. The DLR solution approximates the true solution at each time instant by a linear combination of products of deterministic and stochastic basis functions, both of which evolv...

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Detalles Bibliográficos
Autores principales: Kazashi, Yoshihito, Nobile, Fabio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550577/
https://www.ncbi.nlm.nih.gov/pubmed/34777939
http://dx.doi.org/10.1007/s40072-020-00177-4