Open AccessA Remark on the Fast Gauss Transform
Author(s) -
Kenta Kobayashi
Publication year - 2003
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1145476047
Subject(s) - mathematics , gauss , calculus (dental) , pure mathematics , physics , quantum mechanics , medicine , dentistry
We propose an improvement on the Fast Gauss Transform which was presented by Greengard and Sun [Documenta Mathematica, Extra volume ICM 1998, III, pp.575-584(1998)]. In their method, plane waves are used to approximate the Gauss kernel. Plane waves they used were generated by the Fourier integral and the trapezoidal rule. We propose different plane waves, which enables us to calculate the Fast Gauss Transform more efficiently. §
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