TY - JOUR
ID - 484
TI - Sequential second derivative general linear methods for stiff systems
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Ezzeddine, Ali Karam
AU - Hojjati, Gholamreza
AU - Abdi, Ali
AD - University of Tabriz
Y1 - 2014
PY - 2014
VL - 40
IS - 1
SP - 83
EP - 100
KW - General linear methods
KW - Two--derivative methods
KW - ordinary differential equation
KW - Order conditions
KW - A- and
L-stability
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_484.html
L1 - http://bims.iranjournals.ir/article_484_e8bcd98926dd7174a8892e92e75c9438.pdf
ER -