Exponentially fitted symplectic Runge-Kutta-Nyström methods

Applied Mathematics and Information Sciences

Volumn 7, Issue 1, 2013, Pages 81-85

  Monovasilis, Th ^a   Kalogiratou, Z ^b   Simos, T E ^c,d  

^a UNIVERSITY OF WESTERN MACEDONIA   (Greece)

^b Technological Ed Institution of Western Macedonia at Kastoria   (Greece)

^c KING SAUD UNIVERSITY   (Saudi Arabia)

^d UNIVERSITY OF PELOPONNESE   (Greece)

Author keywords

Exponential fitting; Runge kutta nystr m methods; Symplectic methods

Indexed keywords

EID: 84873447840     PISSN: 19350090     EISSN: None     Source Type: Journal    
DOI: 10.12785/amis/070108     Document Type: Article

References (8)

1. L. Gr. Ixaru, G. Vanden Berghe, Exponential Fitting, Kluwer Academic Publishers, 2004.
2. Z. Kalogiratou, Th. Monovasilis, T.E. Simos, New modified RungeKuttaNyström methods for the numerical integration of the Schrodinger equation, Computers and Mathematics with Applications 60, 6 (2010) 16391647.
3. Z. Kalogiratou, Th. Monovasilis, T.E. Simos, Computation of the eigenvalues of the Schrodinger equation by exponentially-fitted RungeKuttaNystrom methods, Computer Physics Communications 180, 2 (2009) 167176.
4. J.M. Sanz-Serna, M.P. Calvo, Numerical Hamiltonian Problem, Chapman and Hall, London, 1994.
5. T.E. Simos, An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions, Computer Physics Communications 115(1998)1-8.
6. T.E. Simos, J.V. Aguiar, Exponentially fitted symplectic integrator, Physical Review E 67(2003) 016701.
7. H. Van de Vyrer, A symplectic exponentially fitted modified Runge-Kutta-Nyström method for the numerical integration of orbital problems, New Astronomy, 10(2005)261-269.
8. H. Van de Vyrer, A symplectic RungeKuttaNyström method with minimal phase-lag, Physics Letters A 367 (2007) 1624.