%0 Journal Article
%T Sequential second derivative general linear methods for stiff systems
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Ezzeddine, Ali Karam
%A Hojjati, Gholamreza
%A Abdi, Ali
%D 2014
%\ 02/01/2014
%V 40
%N 1
%P 83-100
%! Sequential second derivative general linear methods for stiff systems
%K General linear methods
%K Two--derivative methods
%K ordinary differential equation
%K Order conditions
%K A- and
L-stability
%R
%X Second derivative general linear methods (SGLMs) as an extension of general linear methods (GLMs) have been introduced to improve the stability and accuracy properties of GLMs. The coefficients of SGLMs are given by six matrices, instead of four matrices for GLMs, which are obtained by solving nonlinear systems of order and usually Runge--Kutta stability conditions. In this paper, we introduce a technique for construction of an special case of SGLMs which decreases the complexity of finding coefficients matrices.
%U http://bims.iranjournals.ir/article_484_e8bcd98926dd7174a8892e92e75c9438.pdf