A Class of Multiderivative Hybrid One-step Methods

Autor:	Ai-guo Zhang, Xin-ming Chen, Feng-jian Yang
Rok vydání:	2002
Předmět:	Discrete mathematics Class (set theory) Applied Mathematics Stability (learning theory) Order (group theory) Applied mathematics One-Step Derivative Function (mathematics) Mathematics Free parameter
Zdroj:	Acta Mathematicae Applicatae Sinica, English Series. 18:481-488
ISSN:	1618-3932 0168-9673
DOI:	10.1007/s102550200049
Popis:	This paper presents a class of hybrid one-step methods that are obtained by using Cramer's rule and rational approximation to function exp(q). The algorithms fall into the catalogue of implicit formula, which involves sth order derivative and s+1 free parameters. The order of the algorithms satisfies s+1≤p≤2s+2. The stability of the methods is also studied, necessary and sufficient conditions for A-stability and L-stability are given. In addition, some examples are also given to demonstrate the method presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0f66aa7946e130ba73b4a25438f36bb2 https://doi.org/10.1007/s102550200049 Zobrazit plný text záznamu Full text from SpringerLink