DOI: 10.1006/jcph.2002.7110. A New Version of the Fast Multipole Method for Screened Coulomb Interactions in Three Dimensions

A New Version of the Fast Multipole Method for Screened Coulomb Interactions in Three Dimensions

10.1006/jcph.2002.7110

Crossref journal-article

Elsevier BV

Journal of Computational Physics (78)

Bibliography

Greengard, L. F., & Huang, J. (2002). A New Version of the Fast Multipole Method for Screened Coulomb Interactions in Three Dimensions. Journal of Computational Physics, 180(2), 642â658.

Authors 2

Leslie F. Greengard (first)
Jingfang Huang (additional)

References 19 Referenced 100

{'journal-title': 'Handbook of Mathematical Functions', 'year': '1965', 'author': 'Abramowitz', 'key': '10.1006/jcph.2002.7110_RF1'} / Handbook of Mathematical Functions by Abramowitz (1965)
{'year': '1981', 'series-title': 'Angular Momentum in Quantum Physics: Theory and Application', 'author': 'Biedenharn', 'key': '10.1006/jcph.2002.7110_RF2'} / Angular Momentum in Quantum Physics: Theory and Application by Biedenharn (1981)
10.1006/jcph.1998.6176 / J. Comput. Phys. / A fast adaptive multipole algorithm for calculating screened Coulomb (Yukawa) interactions by Boschtisch (1999)
10.1006/jcph.1999.6355 / J. Comput. Phys. / A fast adaptive fast multipole algorithm in three dimensions by Cheng (1999)
10.1063/1.1704333 / J. Math. Phys. / Multipole matrix elements of the translation operator by Danos (1965)
10.1137/0916051 / SIAM J. Sci. Comput. / Multipole translation theory for three-dimensional Laplace and Helmholtz equations by Epton (1995)
{'year': '1988', 'series-title': 'The Rapid Evaluation of Potential Fields in Particle Systems', 'author': 'Greengard', 'key': '10.1006/jcph.2002.7110_RF7'} / The Rapid Evaluation of Potential Fields in Particle Systems by Greengard (1988)
10.1109/99.714591 / IEEE Comp. Sci. Eng. / Accelerating fast multipole methods for low frequency scattering by Greengard (1998)
L. Greengard, and, V. Rokhlin, Rapid evaluation of potential fields in three dimensions, in, Vortex Methods, edited by, C. Anderson and C. Greengard, Lecture Notes in Mathematics, Springer-Verlag, Berlin/New York, 1988, Vol, 1360. (10.1007/BFb0089775)
10.1017/S0962492900002725 / Acta Numer. / A new version of the fast multipole method for the Laplace equation in three dimensions by Greengard (1997)
{'year': '1955', 'series-title': 'The Theory of Spherical and Ellipsoidal Harmonics', 'author': 'Hobson', 'key': '10.1006/jcph.2002.7110_RF11'} / The Theory of Spherical and Ellipsoidal Harmonics by Hobson (1955)
{'year': '1975', 'series-title': 'Classical Electrodynamics', 'author': 'Jackson', 'key': '10.1006/jcph.2002.7110_RF12'} / Classical Electrodynamics by Jackson (1975)
10.1016/0021-9991(91)90043-K / J. Comput. Phys. / The electric potential of a macromolecule in a solvent: A fundamental approach by Juffer (1991)
10.1016/S0006-3495(97)78213-4 / Biophys. J. / Computation of molecular electrostatics with boundary element methods by Liang (1997)
{'year': '1953', 'series-title': 'Methods of Theoretical Physics', 'author': 'Morse', 'key': '10.1006/jcph.2002.7110_RF15'} / Methods of Theoretical Physics by Morse (1953)
10.1006/acha.1993.1006 / Appl. Comput. Harmonic Anal. / Diagonal forms of translation operators for the Helmholtz equation in three dimensions by Rokhlin (1993)
{'journal-title': 'Colloidal Dispersions', 'year': '1991', 'author': 'Russell', 'key': '10.1006/jcph.2002.7110_RF17'} / Colloidal Dispersions by Russell (1991)
10.1002/mop.4650100107 / Microwave Opt. Technol. Lett. / Multilevel fast multipole algorithm for solving combined field integral equations of electromagnetic scattering by Song (1994)
10.1137/S1064827596310779 / SIAM J. Sci. Comput. / Generalized Gaussian quadratures and singular value decompositions of integral operators by Yarvin (1999)

Dates

Type	When
Created	22 years, 11 months ago (Sept. 16, 2002, 2:27 p.m.)
Deposited	4 years, 5 months ago (March 23, 2021, 4:49 p.m.)
Indexed	1 month, 2 weeks ago (July 16, 2025, 9:20 a.m.)
Issued	23 years ago (Aug. 1, 2002)
Published	23 years ago (Aug. 1, 2002)
Published Print	23 years ago (Aug. 1, 2002)

Funders 1

U.S. Department of Energy 10.13039/100000015
Region: Americas
gov (National government)
Labels8
1. Energy Department
2. Department of Energy
3. United States Department of Energy
4. ENERGY.GOV
5. US Department of Energy
6. USDOE
7. DOE
8. USADOE
Awards2
1. DEFGO288ER25053
2. DE-FGO288ER25053

BibTeX

@article{Greengard_2002, title={A New Version of the Fast Multipole Method for Screened Coulomb Interactions in Three Dimensions}, volume={180}, ISSN={0021-9991}, url={http://dx.doi.org/10.1006/jcph.2002.7110}, DOI={10.1006/jcph.2002.7110}, number={2}, journal={Journal of Computational Physics}, publisher={Elsevier BV}, author={Greengard, Leslie F. and Huang, Jingfang}, year={2002}, month=aug, pages={642–658} }

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