[PDF] Long Range Potentials and the Ewald Method





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1 The discrete Fourier transform

We are motivated to consider periodic boundary conditions because we can study stability using Fourier analysis in that case. Suppose there are N grid.



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our system fills a box with periodic boundary conditions. For simplicity in these This function has a Fourier transform ˜f(k)



Pseudospectral time-domain (PSTD) methods for the wave equation

Dec 2 2020 because the discrete Fourier transform of a finite sequence assumes ... In most circumstances in acoustics



Periodic Boundary Conditions for Finite-Differentiation-Method Fast

Periodic Boundary Conditions for Finite-. Differentiation-Method Fast-Fourier-Transform. Micromagnetics*. To cite this article: Jiang-Nan Li and Dan Wei 



Electrostatics in periodic boundary conditions and real-space

Mar 27 2008 The difference between the periodic potential



GRAPESPH with fully periodic boundary conditions: fragmentation

require a correct treatment of periodic boundary conditions. Simu- appropriate Green's function is the Fourier transform of cf>eor in equation (10).



2 Heat Equation - 2.1 Derivation

(Periodic Boundary Conditions) Find all solutions to the eigenvalue problem show how the Fourier transform can be used to solve the heat equation (among ...



Long Range Potentials and the Ewald Method

Review: Periodic Boundary Conditions. Why do we use periodic boundary conditions? Idea: Take advantage of periodicity using Fourier Transforms.



Stray Eld Calculation for Micromagnetic Simulations Using True

Mar 18 2021 Research Article. Keywords: micromagnetic simulations



Implementation of Lees-Edwards periodic boundary conditions for

Dec 17 2010 maintains conventional cubic periodic boundary conditions is to apply ... conditions in all directions

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