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Publications Influence

A fast algorithm for particle simulations

- L. Greengard, V. Rokhlin
- Computer Science
- 1 December 1987

TLDR

4,457 393- PDF

The Rapid Evaluation of Potential Fields in Particle Systems

- L. Greengard
- Physics, Mathematics
- 7 April 1988

The evaluation of Coulombic or gravitational interactions in large-scale ensembles of particles is an integral part of the numerical simulation of a large number of physical processes. Examples… Expand

1,202 129

A new version of the Fast Multipole Method for the Laplace equation in three dimensions

- L. Greengard, V. Rokhlin
- Mathematics
- 1997

Abstract : We introduce a new version of the Fast Multipole Method for the evaluation of potential fields in three dimensions. It is based on a new diagonal form for translation operators and yields… Expand

809 77

Accelerating the Nonuniform Fast Fourier Transform

- L. Greengard, J. Lee
- Mathematics, Computer Science
- SIAM Rev.
- 2004

TLDR

575 64- PDF

The Fast Gauss Transform

- L. Greengard, J. Strain
- Mathematics, Computer Science
- SIAM J. Sci. Comput.
- 2 January 1991

TLDR

492 57- PDF

Spectral Deferred Correction Methods for Ordinary Differential Equations

- A. Dutt, L. Greengard, V. Rokhlin
- Mathematics
- 1 June 2000

We introduce a new class of methods for the Cauchy problem for ordinary differential equations (ODEs). We begin by converting the original ODE into the corresponding Picard equation and apply a… Expand

319 48

Regular Article: A Fast Adaptive Multipole Algorithm in Three Dimensions

- H. Cheng, L. Greengard, V. Rokhlin
- Mathematics
- 1 November 1999

We present an adaptive fast multipole method for the Laplace equation in three dimensions. It uses both new compression techniques and diagonal forms for translation operators to achieve high… Expand

605 40- PDF

A wideband fast multipole method for the Helmholtz equation in three dimensions

- H. Cheng, W. Crutchfield, +6 authors Junsheng Zhao
- Mathematics, Computer Science
- J. Comput. Phys.
- 20 July 2006

TLDR

260 19- PDF

The type 3 nonuniform FFT and its applications June -

- Yannian Lee, L. Greengard
- 2005

The nonequispaced or nonuniform fast Fourier transform (NUFFT) arises in a variety of application areas, including imaging processing and the numerical solution of partial differential equations. In… Expand

102 18- PDF

Rapid Evaluation of Potential Fields in Three Dimensions

- L. Greengard, Rokhlin
- Physics
- 1988

Abstract : This paper describes a three dimensional version of the fast multipole algorithm for the rapid evaluation of the potential and force fields in systems of particles whose interactions are… Expand

189 18