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A new subdivision algorithm for the flow propagation using polynomial algebras

Autor
Pérez-Palau, D.; Gomez Muntané, Gerard; Masdemont, J.J.
Tipus d'activitat
Article en revista
Revista
Communications in nonlinear science and numerical simulation
Data de publicació
2018-08-01
Volum
61
Pàgina inicial
37
Pàgina final
53
DOI
https://doi.org/10.1016/j.cnsns.2018.01.013 Obrir en finestra nova
URL
http://linkinghub.elsevier.com/retrieve/pii/S1007570418300194 Obrir en finestra nova
Resum
The Jet Transport method has emerged as a powerful tool for the numerical integration of ordinary differential equations; it uses polynomial expansions to approximate the flow map associated to the differential equation in the neighbourhood of a reference solution. One of the main drawbacks of the method is that the region of accuracy becomes smaller along the integration. In this paper we introduce a procedure to determine a ball covering the set of given initial conditions that keeps the accur...
Paraules clau
Jet transport, ODE polynomial propagation, Polynomial algebra, Subdivision algorithms
Grup de recerca
SD - Sistemes Dinàmics de la UPC

Participants