Spline-oriented inter/extrapolation-based multirate schemes of higher order

Autor:	Kevin Schäfers, Andreas Bartel, Michael Günther, Christoph Hachtel
Rok vydání:	2022
Předmět:	Computer Science::Systems and Control Applied Mathematics Computer Science::Networking and Internet Architecture FOS: Mathematics 65L06 65L20 Mathematics - Numerical Analysis Numerical Analysis (math.NA)
DOI:	10.48550/arxiv.2207.02732
Popis:	Multirate integration uses different time step sizes for different components of the solution based on the respective transient behavior. For inter/extrapolation-based multirate schemes, we construct a new subclass of schemes by using clamped cubic splines to obtain multirate schemes up to order 4. Numerical results for a $n$-mass-oscillator demonstrate that 4th order of convergence can be achieved for this class of schemes. Comment: 7 pages, 2 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::112ffabe9b583759eb40d65b141f3c89 Zobrazit plný text záznamu