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- Fast_multipole_method abstract "The fast multipole method (FMM) is a mathematical technique that was developed to speed up the calculation of long-ranged forces in the n-body problem. It does this by expanding the system Green's function using a multipole expansion, which allows one to group sources that lie close together and treat them as if they are a single source.The FMM has also been applied in accelerating the iterative solver in the method of moments (MOM) as applied to computational electromagnetics problems. The FMM was first introduced in this manner by Greengard and Rokhlin and is based on the multipole expansion of the vector Helmholtz equation. By treating the interactions between far-away basis functions using the FMM, the corresponding matrix elements do not need to be explicitly stored, resulting in a significant reduction in required memory. If the FMM is then applied in a hierarchical manner, it can improve the complexity of matrix-vector products in an iterative solver from O(N 2) to O(N). This has expanded the area of applicability of the MOM to far greater problems than were previously possible.The FMM, introduced by Rokhlin and Greengard, has been acclaimed as one of the top ten algorithms of the 20th century. The FMM algorithm dramatically reduces the complexity of matrix-vector multiplication involving a certain type of dense matrix which can arise out of many physical systems.The FMM has also been applied for efficiently treating the Coulomb interaction in Hartree–Fock and density functional theory calculations in quantum chemistry.".
- Fast_multipole_method wikiPageExternalLink shortcourse_fmm.pdf.
- Fast_multipole_method wikiPageExternalLink citation.cfm?id=36901.
- Fast_multipole_method wikiPageExternalLink puma-em.
- Fast_multipole_method wikiPageExternalLink www.fastfieldsolvers.com.
- Fast_multipole_method wikiPageExternalLink www.feko.info.
- Fast_multipole_method wikiPageExternalLink index.html.
- Fast_multipole_method wikiPageExternalLink www.radarsoftware.com.
- Fast_multipole_method wikiPageExternalLink fmmdemo2.jar.
- Fast_multipole_method wikiPageExternalLink overview.
- Fast_multipole_method wikiPageID "8280771".
- Fast_multipole_method wikiPageRevisionID "589289552".
- Fast_multipole_method hasPhotoCollection Fast_multipole_method.
- Fast_multipole_method subject Category:Computational_science.
- Fast_multipole_method subject Category:Fluid_dynamics.
- Fast_multipole_method subject Category:Numerical_analysis.
- Fast_multipole_method subject Category:Numerical_differential_equations.
- Fast_multipole_method type Abstraction100002137.
- Fast_multipole_method type Communication100033020.
- Fast_multipole_method type DifferentialEquation106670521.
- Fast_multipole_method type Equation106669864.
- Fast_multipole_method type MathematicalStatement106732169.
- Fast_multipole_method type Message106598915.
- Fast_multipole_method type NumericalDifferentialEquations.
- Fast_multipole_method type Statement106722453.
- Fast_multipole_method comment "The fast multipole method (FMM) is a mathematical technique that was developed to speed up the calculation of long-ranged forces in the n-body problem. It does this by expanding the system Green's function using a multipole expansion, which allows one to group sources that lie close together and treat them as if they are a single source.The FMM has also been applied in accelerating the iterative solver in the method of moments (MOM) as applied to computational electromagnetics problems.".
- Fast_multipole_method label "Fast multipole method".
- Fast_multipole_method label "Méthode multipolaire rapide".
- Fast_multipole_method sameAs Méthode_multipolaire_rapide.
- Fast_multipole_method sameAs m.026yvyw.
- Fast_multipole_method sameAs Q5437040.
- Fast_multipole_method sameAs Q5437040.
- Fast_multipole_method sameAs Fast_multipole_method.
- Fast_multipole_method wasDerivedFrom Fast_multipole_method?oldid=589289552.
- Fast_multipole_method isPrimaryTopicOf Fast_multipole_method.