Families of efficient low order processed composition methods

Fuente: arXiv
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Main Authors: Blanes, Sergio, Casas, Fernando, Escorihuela-Tomàs, Alejandro
Format: Preprint
Published: 2024
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author Blanes, Sergio
Casas, Fernando
Escorihuela-Tomàs, Alejandro
author_facet Blanes, Sergio
Casas, Fernando
Escorihuela-Tomàs, Alejandro
contents New families of composition methods with processing of order 4 and 6 are presented and analyzed. They are specifically designed to be used for the numerical integration of differential equations whose vector field is separated into three or more parts which are explicitly solvable. The new schemes are shown to be more efficient than previous state-of-the-art splitting methods.
format Preprint
id arxiv_https___arxiv_org_abs_2404_04340
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Families of efficient low order processed composition methods
Blanes, Sergio
Casas, Fernando
Escorihuela-Tomàs, Alejandro
Numerical Analysis
New families of composition methods with processing of order 4 and 6 are presented and analyzed. They are specifically designed to be used for the numerical integration of differential equations whose vector field is separated into three or more parts which are explicitly solvable. The new schemes are shown to be more efficient than previous state-of-the-art splitting methods.
title Families of efficient low order processed composition methods
topic Numerical Analysis
url https://arxiv.org/abs/2404.04340