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References
C. R. Anderson, A Method of Local Corrections for Computing the Velocity Field Due to a Distribution of Vortex Blobs, J. Comput. Phys., 62(1986), pp. 111–123.
A. W. Appel, An Efficient Program for Many-body Simulation, J. Sci. Stat. Comput., 6(1985), pp. 85–103.
B. C. Carlson and G. S. Rushbrooke, On the Expansion of a Coulomb Potential In Spherical Harmonics, Proc. Cambridge Phil. Soc., 46(1950), pp. 626–633.
J. Carrier, L. Greengard, and V. Rokhlin, A Fast Adaptive Multipole Algorithm for Particle Simulations, Technical Report 496, Yale Computer Science Department, 1986.
A. J. Chorin, Numerical Study of Slightly Viscous Flow, J. Fluid. Mech., 57 (1973), pp. 785–796.
M. Danos and L. C. Maximon, Multipole Matrix Elements of the Translation Operator, J. Math. Phys., 6 (1965), pp. 766–778.
L. Greengard and V. Rokhlin, A Fast Algorithm for Particle Simulations, Technical Report 459, Yale Computer Science Department, 1986.
—, A Fast Algorithm for Particle Simulations, J. Comput. Phys., (to appear).
E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics, Chelsea, New York, 1955.
R. W. Hockney and J. W. Eastwood, Computer Simulation Using Particles, McGraw-Hill, New York, 1981.
O. D. Kellogg, Foundations of Potential Theory, Dover, New York, 1953.
J. C. Maxwell, Treatise on Electricity and Magnetism, 3rd edition (1891), Dover, New York, 1954.
L. Greengard, The Rapid Evaluation of Potential Fields in Particle Systems, Ph.D. Thesis, Dept. of Computer Science, Yale Univ., 1987.
V. Rokhlin, Rapid Solution of Integral Equations of Classical Potential Theory, J. Comput. Phys., 60 (1985), pp. 187–207.
M. E. Rose, The Electrostatic Interaction of Two Arbitrary Charge Distributions, J. Math. and Phys., 37 (1958), pp. 215–222.
P. R. Wallace, Mathematical Analysis of Physical Problems, Dover, New York, 1984.
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Grengard, L., Rokhlin, V. (1988). The rapid evaluation of potential fields in three dimensions. In: Anderson, C., Greengard, C. (eds) Vortex Methods. Lecture Notes in Mathematics, vol 1360. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089775
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DOI: https://doi.org/10.1007/BFb0089775
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