Symmetric Runge-Kutta Methods with Higher Derivatives and Quadratic Extrapolation

机译：具有高导数和二次外推的对称Runge-Kutta方法

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In this paper we study the symmetry of Runge-Kutta methods with higher derivatives. We find conditions which provide this property for the above numerical methods. We prove that the family of E-methods constructed earlier consists of symmetric methods only, which lead to the quadratic extrapolation technique in practice.

机译：本文研究具有较高导数的Runge-Kutta方法的对称性。我们发现了为上述数值方法提供此特性的条件。我们证明了先前构造的E方法的族仅由对称方法组成，这在实践中导致了二次外推技术。

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来源
《International Conference on Computational Science(ICCS 2006) pt.1; 20060528-31; Reading(GB)》|2006年|P.117-123|共7页
会议地点 Reading(GB)
作者
Gennady Yu. Kulikov; Ekaterina Yu. Khrustaleva; Arkadi I. Merkulov;
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作者单位

School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
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Symmetric Runge-Kutta Methods with Higher Derivatives and Quadratic Extrapolation

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