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Volumn 226, Issue 1, 2007, Pages 732-753

Accelerated Cartesian expansions - A fast method for computing of potentials of the form R-ν for all real ν

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; COST BENEFIT ANALYSIS; MOLECULAR DYNAMICS; TENSORS;

EID: 34548392203     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.04.033     Document Type: Article
Times cited : (65)

References (35)
  • 3
    • 85190116620 scopus 로고    scopus 로고
    • P. MacNeice, C. Mobarry, K. Olson, Particle-mesh techniques on the maspar, Nasa technical memorandum 104632, NASA, 1996.
  • 4
    • 0002810887 scopus 로고
    • Mesh-refined p3m: a fast adaptive n-body algorithm
    • Couchman H.M.P. Mesh-refined p3m: a fast adaptive n-body algorithm. Astrophys. J. Lett. 368 (1991) 28
    • (1991) Astrophys. J. Lett. , vol.368 , pp. 28
    • Couchman, H.M.P.1
  • 6
    • 25144499901 scopus 로고    scopus 로고
    • Rapidly converging lattice sums for nanoelectronic interactions
    • Kho G.H., and Fink W.H. Rapidly converging lattice sums for nanoelectronic interactions. J. Comp. Chem. 23 (2001) 447-483
    • (2001) J. Comp. Chem. , vol.23 , pp. 447-483
    • Kho, G.H.1    Fink, W.H.2
  • 7
    • 0002439750 scopus 로고
    • An efficient program for many-body simulations
    • Appel A. An efficient program for many-body simulations. SIAM J. Sci. Comput. 6 (1985) 85-103
    • (1985) SIAM J. Sci. Comput. , vol.6 , pp. 85-103
    • Appel, A.1
  • 8
    • 33846349887 scopus 로고
    • A hierarchical o(n log n) force calculation algorithm
    • Barnes J., and Hut P. A hierarchical o(n log n) force calculation algorithm. Nature 324 (1986) 446-449
    • (1986) Nature , vol.324 , pp. 446-449
    • Barnes, J.1    Hut, P.2
  • 9
    • 85190154859 scopus 로고    scopus 로고
    • J.A. Board, W.J. Blamke, D.C. Gray, Z.S. Hukara, W. Elliott, J. Leathrum, Scalable implementations of multipole-accelerated algorithms for molecular dynamics, in: Scalable High Performance Computing Conference, 1994, pp. 87-94.
  • 10
    • 34548415720 scopus 로고
    • A fast algorithm for particle simulations
    • Greengard L., and Rokhlin V. A fast algorithm for particle simulations. J. Comput. Phys. 20 (1987) 63-71
    • (1987) J. Comput. Phys. , vol.20 , pp. 63-71
    • Greengard, L.1    Rokhlin, V.2
  • 12
    • 0002897633 scopus 로고
    • A parallel version of the fast multipole method
    • Greengard L., and Gropp W. A parallel version of the fast multipole method. Comput. Math. Appl. 20 (1990) 63-71
    • (1990) Comput. Math. Appl. , vol.20 , pp. 63-71
    • Greengard, L.1    Gropp, W.2
  • 13
    • 85011484616 scopus 로고    scopus 로고
    • A new version of the fast multipole method for the laplace equation in three dimensions
    • Greengard L., and Rokhlin V. A new version of the fast multipole method for the laplace equation in three dimensions. Acta Numer. 6 (1997) 229-269
    • (1997) Acta Numer. , vol.6 , pp. 229-269
    • Greengard, L.1    Rokhlin, V.2
  • 14
    • 0000362580 scopus 로고    scopus 로고
    • A fast adaptive multipole algorithm in three dimensions
    • Cheng H., Greengard L., and Rokhlin V. A fast adaptive multipole algorithm in three dimensions. J. Comput. Phys. 155 (1999) 468-498
    • (1999) J. Comput. Phys. , vol.155 , pp. 468-498
    • Cheng, H.1    Greengard, L.2    Rokhlin, V.3
  • 16
    • 85190116332 scopus 로고    scopus 로고
    • W.D. Elliott, J.A. Board, Technical Report 94-005, Duke Univ Dept EECS. 1994.
  • 17
    • 0343881269 scopus 로고    scopus 로고
    • Fast adaptive multipole method for computation of electrostatic energy in simulations of polyelectrolyte dna
    • Fenley M., Olson W.K., Chua K., and Boschitsch A.H. Fast adaptive multipole method for computation of electrostatic energy in simulations of polyelectrolyte dna. J. Comp. Chem. 17 (1996) 976-991
    • (1996) J. Comp. Chem. , vol.17 , pp. 976-991
    • Fenley, M.1    Olson, W.K.2    Chua, K.3    Boschitsch, A.H.4
  • 18
    • 0000687899 scopus 로고    scopus 로고
    • An adaptive treecode for computing nonbonded potential energy in classical molecular systems
    • Duan Z., and Krasny R. An adaptive treecode for computing nonbonded potential energy in classical molecular systems. J. Comp. Chem. 22 (2001) 184-195
    • (2001) J. Comp. Chem. , vol.22 , pp. 184-195
    • Duan, Z.1    Krasny, R.2
  • 21
    • 85190123149 scopus 로고    scopus 로고
    • F. Zhao, An o (n) algorithm for three-dimensional n-body simulation, Master's thesis, Massachusetts Institute of Technology, 1987.
  • 23
    • 0001100796 scopus 로고    scopus 로고
    • Addition theorems as three-dimensional Taylor expansions
    • Weniger E.J. Addition theorems as three-dimensional Taylor expansions. Int. J. Quant. Chem. 76 (2000) 280-295
    • (2000) Int. J. Quant. Chem. , vol.76 , pp. 280-295
    • Weniger, E.J.1
  • 26
    • 2442495193 scopus 로고
    • Traceless cartesian tensor forms for spherical harmonic functions: new theorems and applications to electrostatics of dielectric media
    • Applequist J. Traceless cartesian tensor forms for spherical harmonic functions: new theorems and applications to electrostatics of dielectric media. J. Phys. A: Math. Gen. 22 (1989) 4303-4330
    • (1989) J. Phys. A: Math. Gen. , vol.22 , pp. 4303-4330
    • Applequist, J.1
  • 27
    • 85190138855 scopus 로고    scopus 로고
    • B. Shanker, H. Huang, Accelerated cartesian expansions-an o (n) method for computing of non-oscillatory potentials, Technical Report MSU-ECE-Report-2006-06, Michigan State University, 2006.
  • 28
    • 25144521777 scopus 로고    scopus 로고
    • Proceedings of the International Conference on Computational Science, Springer-Verlag, Atlanta, Georgia
    • -λ. Proceedings of the International Conference on Computational Science. Lecture Notes in Computer Science vol. 3514 (2005), Springer-Verlag, Atlanta, Georgia 107-114
    • (2005) Lecture Notes in Computer Science , vol.3514 , pp. 107-114
    • Srinivasan, K.1    Mahawar, H.2    Sarin, V.3
  • 29
    • 33749636910 scopus 로고
    • Fundamental relationships in the theory of electric multipole methods and multipole polarizabilities in static fields
    • Applequist J. Fundamental relationships in the theory of electric multipole methods and multipole polarizabilities in static fields. Chem. Phys. 85 (1984) 279-289
    • (1984) Chem. Phys. , vol.85 , pp. 279-289
    • Applequist, J.1
  • 30
    • 36749117377 scopus 로고
    • Cartesian polytensors
    • Applequist J. Cartesian polytensors. J. Math. Phys. 24 (1983) 736-742
    • (1983) J. Math. Phys. , vol.24 , pp. 736-742
    • Applequist, J.1
  • 35
    • 85190136744 scopus 로고    scopus 로고
    • M. Vikram, B. Shanker, Fast evaluation of time domain fields in sub-wavelength source/observer distributions using accelerated cartesian expansions (ace), Technical Report MSU-ECE-2007-2, Michigan State University.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.