A FAST ADAPTIVE MULTIPOLE ALGORITHM FOR PARTICLE SIMULATIONS *
@inproceedings{CARRIERtAFA, title={A FAST ADAPTIVE MULTIPOLE ALGORITHM FOR PARTICLE SIMULATIONS *}, author={J. CARRIERt and Leslie Greengardt and V. ROKHLINt} }
This paper describes an algorithm for the rapid evaluation of the potential and force fields in systems involving large numbers of particles whose interactions are described by Coulomb's law. Unlike previously published schemes, the algorithm of this paper has an asymptotic CPU time estimate of O(N), where N is the number of particles in the simulation, and does not depend on the statistics of the distribution for its efficient performance. The numerical examples we present indicate that it…
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References
SHOWING 1-10 OF 10 REFERENCES
An Efficient Program for Many-Body Simulation
- Computer Science
- 1985
This paper describes both the particular program and the methodology underlying such speedups that reduced the running time of a large problem $(N = 10,000)$ by a factor of four hundred.
Computer simulation using particles
- Physics
- 1966
Computer experiments using particle models A one-dimensional plasma model The simulation program Time integration schemes The particle-mesh force calculation The solution of field equations…
Numerical study of slightly viscous flow
- PhysicsJournal of Fluid Mechanics
- 1973
A numerical method for solving the time-dependent Navier–Stokes equations in two space dimensions at high Reynolds number is presented. The crux of the method lies in the numerical simulation of the…
A method of local corrections for computing the velocity field due to a distribution of vortex blobs
- Physics
- 1986
A Matrix Problem with Application to Rapid Solution of Integral Equations
- MathematicsSIAM J. Sci. Comput.
- 1990
It is shown that arbitrarily accurate approximate solutions can be computed in $O(n\log n)$ arithmetic operations for large n, provided that $z(t)$ is sufficiently smooth.
A fast algorithm for the multiplication of generalized Hilbert matrices with vectors
- Mathematics
- 1988
On presente un algorithme rapide de complexite logarithmique pour la multiplication des matrices de Hilbert generalisees par des vecteurs
A fast algorithm for Trummer'sproblem, LCSR-TR- 77
- A fast algorithm for Trummer'sproblem, LCSR-TR- 77
- 1985
SIGACT News ACM Special Interest Group on Automata and Computability Theory
- SIGACT News ACM Special Interest Group on Automata and Computability Theory
- 1985