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Volumn 174, Issue 4, 2006, Pages 255-262

A fourth-order symplectic exponentially fitted integrator

Author keywords

Exponential fitting; Hamiltonian systems; Runge Kutta methods; Symplectic methods

Indexed keywords

DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; RUNGE KUTTA METHODS;

EID: 31444445582     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2005.10.007     Document Type: Article
Times cited : (66)

References (24)
  • 1
    • 0141527547 scopus 로고    scopus 로고
    • Exponential fitted Runge-Kutta methods of collocation type: Fixed or variable knot points?
    • G. Vanden Berghe, M. Van Daele, and H. Van de Vyver Exponential fitted Runge-Kutta methods of collocation type: fixed or variable knot points? J. Comput. Appl. Math. 159 2003 217 239
    • (2003) J. Comput. Appl. Math. , vol.159 , pp. 217-239
    • Vanden Berghe, G.1    Van Daele, M.2    Van De Vyver, H.3
  • 4
    • 0035592606 scopus 로고    scopus 로고
    • An adapted symplectic integrator for Hamiltonian systems
    • J. Vigo-Aguiar, T.E. Simos, and A. Tocino An adapted symplectic integrator for Hamiltonian systems Int. J. Modern Phys. C 12 2001 225 234
    • (2001) Int. J. Modern Phys. C , vol.12 , pp. 225-234
    • Vigo-Aguiar, J.1    Simos, T.E.2    Tocino, A.3
  • 5
    • 34547229667 scopus 로고    scopus 로고
    • Exponentially fitted symplectic integrator
    • T.E. Simos, and J. Vigo-Aguiar Exponentially fitted symplectic integrator Phys. Rev. E 67 2003 016701(1) 016701(7)
    • (2003) Phys. Rev. E , vol.67 , pp. 0167011-0167017
    • Simos, T.E.1    Vigo-Aguiar, J.2
  • 6
    • 0032300656 scopus 로고    scopus 로고
    • An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
    • T.E. Simos An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions Comput. Phys. Comm. 115 1998 1 8
    • (1998) Comput. Phys. Comm. , vol.115 , pp. 1-8
    • Simos, T.E.1
  • 7
    • 17744387720 scopus 로고    scopus 로고
    • Exponentially fitted symplectic methods for the Schrödinger equation
    • Th. Monovasilis, Z. Kalogiratou, and T.E. Simos Exponentially fitted symplectic methods for the Schrödinger equation J. Math. Chem. 37 2005 263 270
    • (2005) J. Math. Chem. , vol.37 , pp. 263-270
    • Monovasilis, Th.1    Kalogiratou, Z.2    Simos, T.E.3
  • 9
    • 0000132696 scopus 로고
    • Numerical integration of ordinary differential equations based on trigonometric polynoms
    • W. Gautschi Numerical integration of ordinary differential equations based on trigonometric polynoms Numer. Math. 3 1961 381 397
    • (1961) Numer. Math. , vol.3 , pp. 381-397
    • Gautschi, W.1
  • 10
    • 34250466523 scopus 로고
    • Chebyshevian multistep methods for ordinary differential equations
    • T. Lyche Chebyshevian multistep methods for ordinary differential equations Numer. Math. 19 1972 65 75
    • (1972) Numer. Math. , vol.19 , pp. 65-75
    • Lyche, T.1
  • 11
    • 0032183736 scopus 로고    scopus 로고
    • Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
    • B. Paternoster Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials Appl. Numer. Math. 28 1998 401 412
    • (1998) Appl. Numer. Math. , vol.28 , pp. 401-412
    • Paternoster, B.1
  • 12
    • 0034512338 scopus 로고    scopus 로고
    • Mixed collocation methods for y ″ = f (x , y )
    • J.P. Coleman, and S.C. Duxbury Mixed collocation methods for y ″ = f (x, y ) J. Comput. Appl. Math. 126 2000 47 75
    • (2000) J. Comput. Appl. Math. , vol.126 , pp. 47-75
    • Coleman, J.P.1    Duxbury, S.C.2
  • 13
    • 0005703792 scopus 로고    scopus 로고
    • A Functional fitting Runge-Kutta method with variable coefficients
    • K. Ozawa A Functional fitting Runge-Kutta method with variable coefficients Japan J. Industr. Appl. Math. 18 2001 107 130
    • (2001) Japan J. Industr. Appl. Math. , vol.18 , pp. 107-130
    • Ozawa, K.1
  • 15
    • 28244499612 scopus 로고    scopus 로고
    • On the generation of P-stable exponentially fitted Runge-Kutta- Nyström methods by exponentially fitted Runge-Kutta methods
    • H. Van de Vyver On the generation of P-stable exponentially fitted Runge-Kutta-Nyström methods by exponentially fitted Runge-Kutta methods J. Comput. Appl. Math. 188 2006 309 318
    • (2006) J. Comput. Appl. Math. , vol.188 , pp. 309-318
    • Van De Vyver, H.1
  • 16
    • 14044267389 scopus 로고    scopus 로고
    • A symplectic exponentially fitted modified Runge-Kutta-Nyström method for the numerical integration of orbital problems
    • H. Van de Vyver A symplectic exponentially fitted modified Runge-Kutta-Nyström method for the numerical integration of orbital problems New Astronomy 10 2005 261 269
    • (2005) New Astronomy , vol.10 , pp. 261-269
    • Van De Vyver, H.1
  • 17
    • 0346830423 scopus 로고    scopus 로고
    • Geometric numerical integration illustrated by the Störmer/Verlet method
    • E. Hairer, C. Lubich, and G. Wanner Geometric numerical integration illustrated by the Störmer/Verlet method Acta Numer. 12 2003 1 51
    • (2003) Acta Numer. , vol.12 , pp. 1-51
    • Hairer, E.1    Lubich, C.2    Wanner, G.3
  • 18
    • 0038976122 scopus 로고
    • Runge-Kutta schemes for Hamiltonian systems
    • J.M. Sanz-Serna Runge-Kutta schemes for Hamiltonian systems BIT 28 1988 877 883
    • (1988) BIT , vol.28 , pp. 877-883
    • Sanz-Serna, J.M.1
  • 19
    • 0042475779 scopus 로고
    • On the conservation of the symplectic structure in the numerical solution of Hamiltonian systems
    • S.S. Filippov Keldysh Institute of Applied Mathematics USSR, Academy of Sciences, Moscow
    • Y.B. Suris On the conservation of the symplectic structure in the numerical solution of Hamiltonian systems S.S. Filippov Numerical Solution of Ordinary Differential Equations 1988 Keldysh Institute of Applied Mathematics USSR, Academy of Sciences, Moscow 148 160 (in Russian)
    • (1988) Numerical Solution of Ordinary Differential Equations , pp. 148-160
    • Suris, Y.B.1
  • 20
    • 0039179844 scopus 로고
    • The extension of the theory of A-methods to RK methods
    • K. Strehmel(Ed.), Numerical Treatment of Differential Equations, Tuebner-Texte zur Mathematik, Tuebner, Leipzig
    • P. Albrecht The extension of the theory of A-methods to RK methods K. Strehmel Numerical Treatment of Differential Equations Proc. 4th Seminar NUMDIFF-4 Tuebner-Texte zur Mathematik 1987 Tuebner Leipzig 8 18
    • (1987) Proc. 4th Seminar NUMDIFF-4 , pp. 8-18
    • Albrecht, P.1
  • 21
    • 0023329035 scopus 로고
    • A new theoretical approach to RK methods
    • P. Albrecht A new theoretical approach to RK methods SIAM J. Numer. Anal. 24 1987 391 406
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 391-406
    • Albrecht, P.1
  • 22
    • 0034744534 scopus 로고    scopus 로고
    • A modified Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems
    • T.E. Simos, and J. Vigo-Aguiar A modified Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems Comput. Chem. 25 2001 275 281
    • (2001) Comput. Chem. , vol.25 , pp. 275-281
    • Simos, T.E.1    Vigo-Aguiar, J.2
  • 23
    • 22944432161 scopus 로고    scopus 로고
    • An embedded 5(4) pair of modified explicit Runge-Kutta methods for the numerical solution of the Schrödinger equation
    • H. Van de Vyver An embedded 5(4) pair of modified explicit Runge-Kutta methods for the numerical solution of the Schrödinger equation Int. J. Modern Phys. C 16 2005 879 894
    • (2005) Int. J. Modern Phys. C , vol.16 , pp. 879-894
    • Van De Vyver, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.