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Volumn 12, Issue 10, 2001, Pages 1453-1476

On the construction of efficient methods for second order IVPs with oscillating solution

Author keywords

Explicit methods; Exponential fitting; Initial Value Problems (IVPs); Multistep methods; Numerical solution; Phase lag

Indexed keywords


EID: 0035562245     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183101002826     Document Type: Article
Times cited : (40)

References (49)
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    • Explicit numerov type methods for second order IVPs with oscillating solutions
    • to appear
    • G. Papageorgiou, Ch. Tsitouras and I. Th. Famelis, "Explicit numerov type methods for second order IVPs with oscillating solutions," Int. J. Mod. Phys. C, to appear.
    • Int. J. Mod. Phys. C
    • Papageorgiou, G.1    Tsitouras, Ch.2    Famelis, I.Th.3
  • 38
    • 0034555538 scopus 로고    scopus 로고
    • An embedded Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation
    • in press
    • T. E. Simos, "An embedded Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation," Int. J. Mod. Phys. C, in press.
    • Int. J. Mod. Phys. C
    • Simos, T.E.1
  • 39
    • 1642428793 scopus 로고    scopus 로고
    • A new modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems
    • in press
    • T. E. Simos and J. Vigo-Aguiar, "A new modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems," Int. J. Mod. Phys. C, in press.
    • Int. J. Mod. Phys. C
    • Simos, T.E.1    Vigo-Aguiar, J.2
  • 40
    • 0000913326 scopus 로고    scopus 로고
    • On the construction of exponentially-fitted methods for the numerical solution of the Schrödinger equation
    • to appear
    • A. Konguetsof and T. E. Simos, "On the construction of exponentially-fitted methods for the numerical solution of the Schrödinger equation," J. Comput. Meth. Sci. Eng., to appear.
    • J. Comput. Meth. Sci. Eng.
    • Konguetsof, A.1    Simos, T.E.2
  • 41
    • 0346768494 scopus 로고    scopus 로고
    • report in URL address
    • B. Jenkins, report in URL address: http://burtleburtle.net/bob/math/multistep.html (1999).
    • (1999)
    • Jenkins, B.1
  • 43
    • 0002647925 scopus 로고
    • Numerical methods for y″ = f(x, y)
    • (Bulgaria 1992), eds. D. Bainov and V. Civachev
    • J. P. Coleman, "Numerical methods for y″ = f(x, y)" in Proc. of the First Int. Colloq. on Numerical Analysis (Bulgaria 1992), eds. D. Bainov and V. Civachev (1992), pp. 27-38.
    • (1992) Proc. of the First Int. Colloq. on Numerical Analysis , pp. 27-38
    • Coleman, J.P.1
  • 45
    • 0021295439 scopus 로고
    • M. M. Chawla, BIT 24, 117 (1984).
    • (1984) BIT , vol.24 , pp. 117
    • Chawla, M.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.