Linear scaling solution of the Coulomb problem using wavelets

The Coulomb problem for continuous charge distributions is a central problem in physics. Powerful methods, that scale linearly with system size and that allow us to use different resolutions in different regions of space are therefore highly desirable. Using wavelet based Multi Resolution Analysis w...

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Bibliographic Details
Published in:Solid state communications 1998-03, Vol.105 (11), p.665-669
Main Authors: Goedecker, S., Ivanov, O.V.
Format: Article
Language:English
Subjects:
D. electronic band structure
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Summary:The Coulomb problem for continuous charge distributions is a central problem in physics. Powerful methods, that scale linearly with system size and that allow us to use different resolutions in different regions of space are therefore highly desirable. Using wavelet based Multi Resolution Analysis we derive a novel method which has these properties. The power and accuracy of the method is illustrated by applying it to the calculation of the electrostatic potential of a full three-dimensional all-electron uranium dimer.
ISSN:0038-1098
1879-2766
DOI:10.1016/S0038-1098(97)10241-1