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A Class of Methods with Optimal Stability Properties for the Numerical Solution of IVPs: Construction and Implementation

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Considering the methods with future points technique from second derivative general linear methods (SGLMs) point of view, makes it possible to improve their stability properties. In this paper, we extend… Click to show full abstract

Considering the methods with future points technique from second derivative general linear methods (SGLMs) point of view, makes it possible to improve their stability properties. In this paper, we extend the stability regions of a modified version of E2BD formulas to optimal one and show its effectiveness by numerical verifications. Also, implementation issues, with numerical experiments, of these methods are investigated in a variable step-size mode.

Keywords: optimal stability; properties numerical; methods optimal; stability properties; class methods; stability

Journal Title: International Journal of Computational Methods
Year Published: 2017

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