The fast multipole method (FMM) is a numerical technique that was developed to speed up the calculation of long-ranged forces in the n-body problem. It...

The multilevel fast multipole method (MLFMM) is used along with method of moments (MoM) a numerical computational method of solving linear partial differential...

Charge based boundary element fast multipole method. FMM can also be used to accelerate MoM. While the fast multipole method is useful for accelerating MoM...

This formulation is naturally combined with fast multipole method (FMM) acceleration, and the entire method is known as charge-based BEM-FMM. The combination...

A multipole expansion is a mathematical series representing a function that depends on angles—usually the two angles used in the spherical coordinate...

communication requirements for parallel computing with the help of a fast multipole method. A wavelet-based approximate FFT by Guo and Burrus (1996) takes...

Maxwell problems utilizing a fast multipole method for compression and reduction of computational cost boundary-element-method.com An open-source BEM software...

in the late 1980s. In the 1990s, introduction of fast multipole and multilevel fast multipole methods enabled efficient MoM solutions to problems with...

Barnes–Hut simulation, the fast multipole method. Following the work by Munjiza and Owen, the combined finite-discrete element method has been further developed...

computer scientist. He is co-inventor with Vladimir Rokhlin Jr. of the fast multipole method (FMM) in 1987, recognized as one of the top-ten algorithms of the...

University. He is the co-inventor with Leslie Greengard of the fast multipole method (FMM) in 1985, recognised as one of the top-ten algorithms of the...

interactions. Advanced algorithms, such as the Ewald summation or Fast Multipole Method, reduce this to O ( N log ⁡ N ) {\displaystyle {\mathcal {O}}(N\log...

breakthrough came in the 1980s with the development of the Barnes-Hut and fast multipole method (FMM) algorithms. These paved the way to practical computation of...

Efficient collision detection in three dimensions View frustum culling Fast multipole method Unstructured grid Finite element analysis Sparse voxel octree State...

with this form seeing some usage in the literature regarding the fast multipole method. Conversion between these two forms can be easily achieved using...

functionality as well as a growing list of features (the continuous fast multipole method, J-matrix engine, COLD PRISM for integrals, and G96 density functional...

order O(n log n) instead of O(n2) as in a direct-sum simulation. Fast multipole method (FMM): speeds up the calculation of long-ranged forces Rainflow-counting...

{\displaystyle T} in O ( m 2 ) {\displaystyle O(m^{2})} operations. The Fast Multipole Method can compute all eigenvalues in just O ( m log ⁡ m ) {\displaystyle...

performance, parallelized, open source Method of Moments / Multilevel Fast Multipole Method electromagnetics code Radar Cross Section Reduction Course A GA...

Barnes–Hut tree method developed by Josh Barnes and Piet Hut for fast approximate simulation of n-body problems 1987 – Fast multipole method developed by...

using a multipole expansion or other approximation of the potential. This allows for a reduction in complexity to O(n log n). Fast multipole methods take...

multiplication with O ( n log ⁡ n ) {\displaystyle O(n\log n)} ops (e.g. the fast multipole method), (pivoted) LU factorization with O ( n 2 ) {\displaystyle O(n^{2})}...

Toolbox) Nearest neighbor search Fast multipole method References Pfalzner, Susanne; Gibbon, Paul (1996). Many-body tree methods in physics. Cambridge [u.a...

simulation methods, including the finite integration technique (FIT), finite element method (FEM), transmission line matrix (TLM), multilevel fast multipole method...

computed solution to refine the mesh only where necessary Fast multipole method — hierarchical method for evaluating particle-particle interactions Perfectly...

uses method of moments (integral equations) and FEMs to compute capacitive, conductance, inductance and resistance matrices. It uses the fast multipole method...

'78) - computational physicist known for introducing Rokhlin's fast multipole method to computational electromagnetics An Wang (PhD '48) - invented magnetic...

pioneering research in multigrid methods and later hierarchical matrices, a concept generalizing the fast multipole method. He was a professor at the University...

related to degenerate expansions used in panel clustering and the fast multipole method to approximate integral operators. In this sense, hierarchical matrices...

O(N)} further reduces the computational cost. Verlet integration Fast multipole method Molecular mechanics Software for molecular mechanics modeling Verlet...