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The rapid evaluation of potential fields in particle systems

Author: Leslie Greengard
Publisher: Cambridge, Mass. : MIT Press, ©1988.
Dissertation: doctoral Yale University
Series: ACM distinguished dissertations.
Edition/Format:   Thesis/dissertation : Thesis/dissertation : EnglishView all editions and formats
Summary:

The Rapid Evaluation of Potential Fields in Particle Systems presents a group of algorithms for the computation of the potential and force fields in large-scale systems of particles that are likely  Read more...

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Material Type: Thesis/dissertation, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Leslie Greengard
ISBN: 026207110X 9780262071109
OCLC Number: 17477158
Description: iv, 90 pages : illustrations ; 24 cm.
Contents: 1. Introduction --
1.1 Brief history --
1.2 Outline of the dissertation --
2. Potential fields in two dimensions --
2.1 The field of a charge --
2.2 Translation operators and error bounds --
2.3 The fast multipole algorithm --
2.4 Boundary conditions --
2.5 The adaptive algorithm --
2.6 Algorithm analysis --
3. Potential fields in three dimensions --
3.1 The field of a charge --
3.2 Legendre polynomials --
3.3 Spherical harmonics --
3.4 The field due to arbitrary distributions of charge --
3.5 Translation operators and error bounds --
3.6 The fast multipole algorithm --
4. Numerical results --
5. Conclusions and applications.
Series Title: ACM distinguished dissertations.
Responsibility: Leslie Greengard.

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