On the scaling of multipole methods for particle–particle interactions

[1]  L. E. Clarke,et al.  Concepts of Probability Theory , 1980 .

[2]  Andrew W. Appel,et al.  An Efficient Program for Many-Body Simulation , 1983 .

[3]  Piet Hut,et al.  A hierarchical O(N log N) force-calculation algorithm , 1986, Nature.

[4]  Leslie Greengard,et al.  A fast algorithm for particle simulations , 1987 .

[5]  L. Greengard.  The Rapid Evaluation of Potential Fields in Particle Systems , 1988 .

[6]  Martin Head-Gordon,et al.  Derivation and efficient implementation of the fast multipole method , 1994 .

[7]  Benny G. Johnson,et al.  THE CONTINUOUS FAST MULTIPOLE METHOD , 1994 .

[8]  Weitao Yang,et al.  A simple O(N log N) algorithm for the rapid evaluation of particle-particle interactions , 1995 .

[9]  J. Nichols,et al.  A generalized fast multipole approach for Hartree—Fock and density functional computations , 1995 .

[10]  Srinivas Aluru.  Greengard's N-Body Algorithm is not Order N , 1996, SIAM J. Sci. Comput..

[11]  José M. Pérez-Jordá,et al.  A concise redefinition of the solid spherical harmonics and its use in fast multipole methods , 1996 .

[12]  Benny G. Johnson,et al.  Linear scaling density functional calculations via the continuous fast multipole method , 1996 .

[13]  John A. Board,et al.  Fast Fourier Transform Accelerated Fast Multipole Algorithm , 1996, SIAM J. Sci. Comput..

[14]  Martin Head-Gordon,et al.  Rotating around the quartic angular momentum barrier in fast multipole method calculations , 1996 .

[15]  Michael J. Frisch,et al.  Achieving Linear Scaling for the Electronic Quantum Coulomb Problem , 1996, Science.

[16]  Eric Schwegler,et al.  Fast assembly of the Coulomb matrix: A quantum chemical tree code , 1996 .

[17]  Henrik G. Petersen,et al.  Error estimates for the fast multipole method , 1997 .

[18]  Eric Schwegler,et al.  Linear scaling computation of the Fock matrix , 1997 .

[19]  Fast evaluation of the Coulomb energy for electron densities , 1997 .