关于牛顿势的有效卷积

J. Num. Math. Pub Date : 1900-01-01 DOI:10.1515/jnum.2010.013

W. Hackbusch, Kishore Kumar Naraparaju, J. Schneider

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引用次数: 2

摘要

在电子结构计算中，除了一些局部奇异点外，其中的卷积是光滑的。在[Hackbusch, number]中提出了与d维牛顿势的有效卷积。数学[j].武汉大学学报(自然科学版)，2008。卷积在一个精细的网格上近似，并引入了额外的近似来有效地评估。本文研究了该方法的性能，并对该方法进行了精确的误差分析。

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On the efficient convolution with the Newton potential

Abstract The convolution , where ƒ is smooth, except for some local singularities, arises for example in electronic structure calculations. An efficient convolution with the Newton potential in d dimensions has been proposed in [Hackbusch, Numer. Math. 110: 449–489, 2008]. The convolution is approximated on a refined grid and additional approximations are introduced for efficient evaluation. This paper studies the performance of the method and a precise error analysis of the method is discussed.

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J. Num. Math.

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