Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40120140201Sequential second derivative general linear methods for stiff systems83100484ENAli KaramEzzeddineUniversity of TabrizGholamrezaHojjatiUniversity of TabrizAliAbdiUniversity of TabrizJournal Article20120903Second derivative general linear methods (SGLMs) as an extension <br />of general linear methods (GLMs) have been introduced to improve <br />the stability and accuracy properties of GLMs. The coefficients of <br />SGLMs are given by six matrices, instead of four matrices for <br />GLMs, which are obtained by solving nonlinear systems of order and <br />usually Runge--Kutta stability conditions. In this paper, we <br />introduce a technique for construction of an special case of SGLMs <br />which decreases the complexity of finding coefficients matrices.http://bims.iranjournals.ir/article_484_e8bcd98926dd7174a8892e92e75c9438.pdf