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

Leslie Greengard; Vladimir Rokhlin

doi:10.1017/S0962492900002725

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

Leslie Greengard, Vladimir Rokhlin

Mathematics

Research output: Contribution to journal › Article › peer-review

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 high accuracy at a reasonable cost.

Original language	English (US)
Pages (from-to)	229-269
Number of pages	41
Journal	Acta Numerica
Volume	6
DOIs	https://doi.org/10.1017/S0962492900002725
State	Published - Jan 1997

ASJC Scopus subject areas

Numerical Analysis
Mathematics(all)

Access to Document

10.1017/S0962492900002725

Cite this

@article{4cba2ccf119446dfbd3e5d3952905ae4,

title = "A new version of the Fast Multipole Method for the Laplace equation in three dimensions",

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 high accuracy at a reasonable cost.",

author = "Leslie Greengard and Vladimir Rokhlin",

year = "1997",

month = jan,

doi = "10.1017/S0962492900002725",

language = "English (US)",

volume = "6",

pages = "229--269",

journal = "Acta Numerica",

issn = "0962-4929",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - A new version of the Fast Multipole Method for the Laplace equation in three dimensions

AU - Greengard, Leslie

AU - Rokhlin, Vladimir

PY - 1997/1

Y1 - 1997/1

N2 - 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 high accuracy at a reasonable cost.

AB - 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 high accuracy at a reasonable cost.

UR - http://www.scopus.com/inward/record.url?scp=85011484616&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85011484616&partnerID=8YFLogxK

U2 - 10.1017/S0962492900002725

DO - 10.1017/S0962492900002725

M3 - Article

AN - SCOPUS:85011484616

SN - 0962-4929

VL - 6

SP - 229

EP - 269

JO - Acta Numerica

JF - Acta Numerica

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this