Now showing items 1-6 of 6
A Method to Compute Periodic Sums
In a number of problems in computational physics, a finite sum of kernel functions centered at N particle locations located in a box in three dimensions must be extended by imposing periodic boundary conditions on box ...
Hierarchical O(N) Computation of Small-Angle Scattering Profiles and their Associated Derivatives
Fast algorithms for Debye summation, which arises in computations performed in crystallography, small/wide-angle X-ray scattering (SAXS/WAXS) and small-angle neutron scattering (SANS), were recently presented in Gumerov ...
Recursive computation of spherical harmonic rotation coefficients of large degree
Computation of the spherical harmonic rotation coefficients or elements of Wigner's d-matrix is important in a number of quantum mechanics and mathematical physics applications. Particularly, this is important for the ...
Efficient FMM accelerated vortex methods in three dimensions via the Lamb-Helmholtz decomposition
Vortex-element methods are often used to efficiently simulate incompressible flows using Lagrangian techniques. Use of the FMM (Fast Multipole Method) allows considerable speed up of both velocity evaluation and vorticity ...
Accurate computation of Galerkin double surface integrals in the 3-D boundary element method
Many boundary element integral equation kernels are based on the Green’s functions of the Laplace and Helmholtz equations in three dimensions. These include, for example, the Laplace, Helmholtz, elasticity, Stokes, and ...
A Hierarchical Algorithm for Fast Debye Summation with Applications to Small Angle Scattering
Debye summation, which involves the summation of sinc functions of distances between all pair of atoms in three dimensional space, arises in computations performed in crystallography, small/wide angle X-ray scattering ...