Nordsieck形式的二阶导数一般线性方法

Journal of Numerical Analysis and Approximation Theory Pub Date : 2019-09-08 DOI:10.33993/jnaat481-1140

R. I. Okuonghae, M. Ikhile

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摘要

本文研究了由混合LMM构造二阶导数一般线性方法(SD-GLM)及其向NordsieckGLM的转化。给出了该方法的龙格-库塔启动子的推导方法。用Nordsieck形式表示这些方法具有在变步长情况下易于实现的优点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Second derivative General Linear Method in Nordsieck form

This paper considers the construction of second derivative general linear methods (SD-GLM) from hybrid LMM and their transformation to NordsieckGLM. How the Runge-Kutta starters for the methods can be derived are given. The representation of the methods in Nordsieck form has the advantage of easy implementation in variable stepsize.

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Journal of Numerical Analysis and Approximation Theory

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