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Volumn 60, Issue 6, 2010, Pages 1639-1647

New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrdinger equation

Author keywords

Exponential fitting; Runge Kutta Nystr m methods; Schrdinger equation

Indexed keywords

ANHARMONIC OSCILLATORS; EIGENVALUES; EXISTING METHOD; EXPONENTIAL FITTING; HARMONIC OSCILLATORS; M METHOD; NUMERICAL INTEGRATIONS; RUNGE-KUTTA; SCHRDINGER EQUATIONS; TEST EQUATIONS;

EID: 77956063586     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.06.046     Document Type: Article
Times cited : (175)

References (10)
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    • T.E. Simos Exponentially fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions Applied Mathematics Letters 15 2002 217 225
    • (2002) Applied Mathematics Letters , vol.15 , pp. 217-225
    • Simos, T.E.1
  • 2
    • 33744726845 scopus 로고    scopus 로고
    • An embedded exponentially fitted Runge-Kutta-Nyström method for the numerical solution of orbital problems
    • H. Van de Vyrer An embedded exponentially fitted Runge-Kutta-Nyström method for the numerical solution of orbital problems New Astronomy 11 2006 577 587
    • (2006) New Astronomy , vol.11 , pp. 577-587
    • Van De Vyrer, H.1
  • 4
    • 0036485703 scopus 로고    scopus 로고
    • Construction of trigonometrically and exponentially fitted Runge-Kutta-Nyström methods for the numerical solution of the Schrdinger equation and related problems a method of 8th algebraic order
    • Z. Kalogiratou, and T.E. Simos Construction of trigonometrically and exponentially fitted Runge-Kutta-Nyström methods for the numerical solution of the Schrdinger equation and related problems a method of 8th algebraic order Journal of Mathematical Chemistry 31 2002 211 232
    • (2002) Journal of Mathematical Chemistry , vol.31 , pp. 211-232
    • Kalogiratou, Z.1    Simos, T.E.2
  • 5
    • 0032300656 scopus 로고    scopus 로고
    • An exponentially-fitted RungeKutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
    • T.E. Simos An exponentially-fitted RungeKutta method for the numerical integration of initial-value problems with periodic or oscillating solutions Computer Physics Communications 115 1998 1 8
    • (1998) Computer Physics Communications , vol.115 , pp. 1-8
    • Simos, T.E.1
  • 6
    • 34250466523 scopus 로고
    • Chebychevian multistep methods for ordinary differential equations
    • T. Lyche Chebychevian multistep methods for ordinary differential equations Numerische Mathematik 19 1972 65 75
    • (1972) Numerische Mathematik , vol.19 , pp. 65-75
    • Lyche, T.1
  • 7
    • 58249087012 scopus 로고    scopus 로고
    • Computation of the eigenvalues of the Schrdinger equation by exponentially-fitted Runge-Kutta-Nyström methods
    • Th. Monovasilis, Z. Kalogiratou, and T.E. Simos Computation of the eigenvalues of the Schrdinger equation by exponentially-fitted Runge-Kutta-Nyström methods Computer Physics Communications 180 2009 167 176
    • (2009) Computer Physics Communications , vol.180 , pp. 167-176
    • Monovasilis, T.1    Kalogiratou, Z.2    Simos, T.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.