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Volumn 25, Issue 2-3, 1997, Pages 275-286

Optimal stability polynomials for splitting methods, with application to the time-dependent Schrödinger equation

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; NUMERICAL ANALYSIS; OPTIMIZATION; POLYNOMIALS; STABILITY;

EID: 0031270094     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00064-0     Document Type: Article
Times cited : (18)

References (12)
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    • Butcher, J.C.1
  • 2
    • 0000074154 scopus 로고    scopus 로고
    • Symplectic integrators tailored to the time-dependent Schrödinger equation
    • S.K. Gray and D.E. Manolopoulos, Symplectic integrators tailored to the time-dependent Schrödinger equation, J. Chem. Phys. 104 (1996) 7099-7112.
    • (1996) J. Chem. Phys. , vol.104 , pp. 7099-7112
    • Gray, S.K.1    Manolopoulos, D.E.2
  • 3
    • 6144242267 scopus 로고    scopus 로고
    • An explicit symplectic integrator with maximal stability interval
    • D.F. Griffiths and G.A. Watson, eds., World Scientific, Singapore
    • M.A. López-Marcos, J.M. Sanz-Sema and R.D. Skeel, An explicit symplectic integrator with maximal stability interval, in: D.F. Griffiths and G.A. Watson, eds., Numerical Analysis, A.R. Mitchell 75th Birthday Volume (World Scientific, Singapore, 1996) 163-176.
    • (1996) Numerical Analysis, A.R. Mitchell 75th Birthday Volume , pp. 163-176
    • López-Marcos, M.A.1    Sanz-Sema, J.M.2    Skeel, R.D.3
  • 4
    • 0009559049 scopus 로고    scopus 로고
    • Cheap enhancement of symplectic correctors
    • D.F. Griffiths and G.A. Watson, eds., Longman
    • M.A. López-Marcos, J.M. Sanz-Serna and R.D. Skeel, Cheap enhancement of symplectic correctors, in: D.F. Griffiths and G.A. Watson, eds., Numerical Analysis 1995 (Longman, 1996) 107-122.
    • (1996) Numerical Analysis , vol.1995 , pp. 107-122
    • López-Marcos, M.A.1    Sanz-Serna, J.M.2    Skeel, R.D.3
  • 5
    • 0000194427 scopus 로고
    • On the numerical integration of ordinary differential equations by symmetric composition methods
    • R.I. McLachlan, On the numerical integration of ordinary differential equations by symmetric composition methods, SIAM J. Sci. Comput. 16 (1995) 151-168.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 151-168
    • McLachlan, R.I.1
  • 6
    • 0003108426 scopus 로고    scopus 로고
    • More on symplectic correctors
    • J. Marsden, G. Patrick and W.F. Shadwick, eds., The Fields Institute, AMS
    • R.I. McLachlan, More on symplectic correctors, in: J. Marsden, G. Patrick and W.F. Shadwick, eds., Integration Algorithms for Classical Mechanics (The Fields Institute, AMS, 1996).
    • (1996) Integration Algorithms for Classical Mechanics
    • McLachlan, R.I.1
  • 7
    • 0346653215 scopus 로고
    • The accuracy of symplectic integrators
    • R.I. McLachlan and P. Atela, The accuracy of symplectic integrators, Nonlinearity 5 (1992) 541-562.
    • (1992) Nonlinearity , vol.5 , pp. 541-562
    • McLachlan, R.I.1    Atela, P.2
  • 8
    • 4243419782 scopus 로고    scopus 로고
    • Generating functions for dynamical systems with symmetries, integrals, and differential invariants
    • submitted
    • R.I. McLachlan and G.R.W. Quispel, Generating functions for dynamical systems with symmetries, integrals, and differential invariants, Physica D, submitted.
    • Physica D
    • McLachlan, R.I.1    Quispel, G.R.W.2
  • 11
    • 0002613398 scopus 로고    scopus 로고
    • Symplectic correctors
    • J. Marsden, G. Patrick and W.F. Shadwick, eds., The Fields Institute, AMS
    • J. Wisdom, M. Holman and J. Tourna, Symplectic correctors, in: J. Marsden, G. Patrick and W.F. Shadwick, eds., Integration Algorithms for Classical Mechanics (The Fields Institute, AMS, 1996).
    • (1996) Integration Algorithms for Classical Mechanics
    • Wisdom, J.1    Holman, M.2    Tourna, J.3
  • 12
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    • Construction of higher order symplectic integrators
    • H. Yoshida, Construction of higher order symplectic integrators, Phys. Lett. A 150 (1990) 262-268.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.