Sequential second derivative general linear methods for stiff systems
نویسندگان
چکیده مقاله:
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.
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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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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عنوان ژورنال
دوره 40 شماره 1
صفحات 83- 100
تاریخ انتشار 2014-02-01
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