CONSTRUCTION OF NORDSIECK SECOND DERIVATIVE GENERAL LINEAR METHODS WITH INHERENT QUADRATIC STABILITY
نویسندگان
چکیده
منابع مشابه
Sequential second derivative general linear methods for stiff systems
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 p...
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General linear methods were derived approximately thirty years ago as a unifying approach for the study of consistency, stability and convergence of the Runge-Kutta and the linear multistep methods. Their discovery opened the possibility of obtaining essentially new methods which were neither Runge-Kutta nor linear multistep methods nor slight variations of these methods. It was hoped that gene...
متن کاملsequential second derivative general linear methods for stiff systems
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 p...
متن کاملSequential Second Derivative General Linear Methods for Stiff Systems
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...
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ژورنال
عنوان ژورنال: Mathematical Modelling and Analysis
سال: 2017
ISSN: 1392-6292,1648-3510
DOI: 10.3846/13926292.2017.1269024