Linear Scaling Solution of the Coulomb problem using wavelets

Details Linear Scaling Solution of the Coulomb problem using wavelets Linear Scaling Solution of the Coulomb problem using wavelets

1997-01-29

arxiv.org/abs/physics/9701024v1

Physics

Computational Physics

Scientific paper

10.1016/S0038-1098(97)10241-1

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 for the first time a method which has these properties. The power and accuracy of the method is illustrated by applying it to the calculation of of the electrostatic potential of a full three-dimensional all-electron Uranium dimer.

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