On fitting stability regions of second derivative multi-step methods
نویسندگان
چکیده
منابع مشابه
Stability Analysis of Multi-step Methods
Last time, we investigated the fourth-order Runge-Kutta method. We saw that the computations involved in performing this approximation were less than ideal. To create more computationally viable methods, we introduced multistep methods, in which the approximation at a given point is obtained using only the values of the differential equation to be approximated and the approximation itself at pr...
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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 p...
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ژورنال
عنوان ژورنال: Communications in Applied Numerical Methods
سال: 1992
ISSN: 0748-8025,1555-2047
DOI: 10.1002/cnm.1630080602