Preprint 53/2009

On the efficient convolution with the Newton potential

Wolfgang Hackbusch, Kishore Kumar Naraparaju, and Jan Schneider

Contact the author: Please use for correspondence this email.
Submission date: 28. Aug. 2009
Pages: 19
published in: Journal of numerical mathematics, 18 (2010) 4, p. 257-280 
DOI number (of the published article): 10.1515/JNUM.2010.013
Keywords and phrases: convolution, Refined grid, Tensor product representation, Pointwise smoothness, 2-microlocal spaces
Download full preprint: PDF (777 kB), PS ziped (643 kB)

The convolution formula12 where f 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 [3]. 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.

30.11.2017, 01:42