Composition Methods for Dynamical Systems Separable into Three Parts

Autor:	Fernando Casas, Alejandro Escorihuela-Tomàs
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	composition methods splitting methods systems separable into three parts geometric numerical integrators Mathematics QA1-939
Zdroj:	Mathematics, Vol 8, Iss 4, p 533 (2020)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math8040533
Popis:	New families of fourth-order composition methods for the numerical integration of initial value problems defined by ordinary differential equations are proposed. They are designed when the problem can be separated into three parts in such a way that each part is explicitly solvable. The methods are obtained by applying different optimization criteria and preserve geometric properties of the continuous problem by construction. Different numerical examples exhibit their improved performance with respect to previous splitting methods in the literature.
Databáze:	Directory of Open Access Journals
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