Some efficient Nordsieck integration methods for IVPs

Iranian Journal of Numerical Analysis and Optimization

مقاله 6، دوره 8، شماره 1 - شماره پیاپی 13، 2018، صفحه 111-128   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v8i1.57845

نویسندگان

N. Barghi Oskouie؛ A. Abdi^* ؛ G. Hojjati

University of Tabriz, Tabriz,

چکیده

In this paper, in continuation of the construction of efficient numerical methods for stiff IVPs, we construct type two Nordsieck second derivative general linear methods with order p = s, where s is the number of internal stages, and stage order q = p. Implementation of the constructed methods with fixed and variable stepsize is discussed which verifies their efficiency.

کلیدواژه‌ها

Stiff differential equations؛ Nordsieck second derivative general linear methods؛ A- and L-stability؛ Variable stepsize implementation

مراجع