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.
Ezzeddine, A., Hojjati, G., & Abdi, A. (2014). Sequential second derivative general linear methods for stiff systems. Bulletin of the Iranian Mathematical Society, 40(1), 83-100.
MLA
Ali Karam Ezzeddine; Gholamreza Hojjati; Ali Abdi. "Sequential second derivative general linear methods for stiff systems". Bulletin of the Iranian Mathematical Society, 40, 1, 2014, 83-100.
HARVARD
Ezzeddine, A., Hojjati, G., Abdi, A. (2014). 'Sequential second derivative general linear methods for stiff systems', Bulletin of the Iranian Mathematical Society, 40(1), pp. 83-100.
VANCOUVER
Ezzeddine, A., Hojjati, G., Abdi, A. Sequential second derivative general linear methods for stiff systems. Bulletin of the Iranian Mathematical Society, 2014; 40(1): 83-100.
)