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Volumn 206, Issue 2, 2005, Pages 432-452

Monitoring energy drift with shadow Hamiltonians

Author keywords

Backward error; Hamiltonian; Integrator; Modified equation; Numerical; Symplectic

Indexed keywords

MOLECULAR DYNAMICS;

EID: 18144377695     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.12.009     Document Type: Article
Times cited : (77)

References (10)
  • 1
    • 0034173074 scopus 로고    scopus 로고
    • Shadow mass and the relationship between velocity and momentum in symplectic numerical integration
    • J. Gans D. Shalloway Shadow mass and the relationship between velocity and momentum in symplectic numerical integration Phys. Rev. E 61 4 2000 4587-4592
    • (2000) Phys. Rev. E , vol.61 , Issue.4 , pp. 4587-4592
    • Gans, J.1    Shalloway, D.2
  • 3
    • 0036345029 scopus 로고    scopus 로고
    • Practical construction of modified Hamiltonians
    • R.D. Skeel D.J. Hardy Practical construction of modified Hamiltonians SIAM J. Sci. Comput. 23 4 2001 1172-1188
    • (2001) SIAM J. Sci. Comput. , vol.23 , Issue.4 , pp. 1172-1188
    • Skeel, R.D.1    Hardy, D.J.2
  • 4
    • 0033483891 scopus 로고    scopus 로고
    • Emerging tools for experimental mathematics
    • J.M. Borwein R.M. Corless Emerging tools for experimental mathematics Am. Math. Monthly 106 10 1999 889-909
    • (1999) Am. Math. Monthly , vol.106 , Issue.10 , pp. 889-909
    • Borwein, J.M.1    Corless, R.M.2
  • 6
    • 21344491735 scopus 로고
    • On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms
    • G. Benettin A. Giorgilli On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms J. Stat. Phys. 74 1994 1117-1143
    • (1994) J. Stat. Phys. , vol.74 , pp. 1117-1143
    • Benettin, G.1    Giorgilli, A.2
  • 7
    • 0242339583 scopus 로고    scopus 로고
    • Backward error analysis for multi-symplectic integration methods
    • B. Moore S. Reich Backward error analysis for multi-symplectic integration methods Numer. Math. 95 2003 625-652
    • (2003) Numer. Math. , vol.95 , pp. 625-652
    • Moore, B.1    Reich, S.2
  • 8
    • 85190160489 scopus 로고    scopus 로고
    • Interpolated modified Hamiltonians
    • Master's Thesis, University of Illinois at Urbana-Champaign, October Available from
    • R.D. Engle, Interpolated modified Hamiltonians, Master's Thesis, University of Illinois at Urbana-Champaign, October 2003. Available from: http://bionum.cs.purdue.edu/Engl03.ps
    • (2003)
    • Engle, R.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.