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Volumn 180, Issue 10, 2009, Pages 1839-1846

A phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutions

Author keywords

Initial value problems; Phase fitted; Phase lag infinity; Runge Kutta Nystr m methods

Indexed keywords

ALGEBRAIC ORDER; INITIAL-VALUE PROBLEM; M METHOD; MINIMAL PHASE LAG; NUMERICAL SOLUTION; OSCILLATING SOLUTIONS; PHASE LAGS; PHASE-FITTED; PHASE-LAG INFINITY; RUNGE-KUTTA; SECOND ORDERS;

EID: 69349096062     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2009.05.014     Document Type: Article
Times cited : (57)

References (14)
  • 2
    • 0019010803 scopus 로고
    • A one-step method for direct integration of structural dynamic equations
    • Brusa L., and Nigro L. A one-step method for direct integration of structural dynamic equations. Int. J. Numer. Methods Engin. 15 (1980) 685-699
    • (1980) Int. J. Numer. Methods Engin. , vol.15 , pp. 685-699
    • Brusa, L.1    Nigro, L.2
  • 3
    • 0023366337 scopus 로고
    • Explicit Runge-Kutta-Nyström methods with reduced phase errors for computing oscillating solutions
    • van der Houwen P.J., and Sommeijer B.P. Explicit Runge-Kutta-Nyström methods with reduced phase errors for computing oscillating solutions. SIAM J. Numer. Anal. 24 (1987) 595-617
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 595-617
    • van der Houwen, P.J.1    Sommeijer, B.P.2
  • 4
    • 0021578695 scopus 로고
    • A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems
    • Chawla M.M., and Rao P.S. A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. J. Comput. Appl. Math. 11 (1984) 277-281
    • (1984) J. Comput. Appl. Math. , vol.11 , pp. 277-281
    • Chawla, M.M.1    Rao, P.S.2
  • 5
    • 0022752603 scopus 로고
    • A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems, II. Explicit method
    • Chawla M.M., and Rao P.S. A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems, II. Explicit method. J. Comput. Appl. Math. 15 (1986) 329-337
    • (1986) J. Comput. Appl. Math. , vol.15 , pp. 329-337
    • Chawla, M.M.1    Rao, P.S.2
  • 7
    • 34347326945 scopus 로고    scopus 로고
    • A symplectic Runge-Kutta-Nyström method with minimal phase-lag
    • Van de Vyver H. A symplectic Runge-Kutta-Nyström method with minimal phase-lag. Physics Letters A 367 (2007) 16-24
    • (2007) Physics Letters A , vol.367 , pp. 16-24
    • Van de Vyver, H.1
  • 8
    • 33644975341 scopus 로고    scopus 로고
    • An embedded phase-fitted modified Runge-Kutta method for the numerical integration of the radial Schrödinger equation
    • Van de Vyver H. An embedded phase-fitted modified Runge-Kutta method for the numerical integration of the radial Schrödinger equation. Physics Letters A 352 (2006) 278-285
    • (2006) Physics Letters A , vol.352 , pp. 278-285
    • Van de Vyver, H.1
  • 9
    • 0001499606 scopus 로고
    • A Runge-Kutta-Nyström for the numerical integration of special second-order periodic initial-value problems
    • Simos T.E., Dimas E., and Sideridis A.B. A Runge-Kutta-Nyström for the numerical integration of special second-order periodic initial-value problems. J. Comput. Appl. Math. 51 (1994) 317-326
    • (1994) J. Comput. Appl. Math. , vol.51 , pp. 317-326
    • Simos, T.E.1    Dimas, E.2    Sideridis, A.B.3
  • 10
    • 27944475127 scopus 로고
    • A Runge-Kutta-Fehlberg method with phase-lag of order infinity for initial-value problems with oscillating solution
    • Simos T.E. A Runge-Kutta-Fehlberg method with phase-lag of order infinity for initial-value problems with oscillating solution. Comput. Math. Appl. 25 (1993) 95-101
    • (1993) Comput. Math. Appl. , vol.25 , pp. 95-101
    • Simos, T.E.1
  • 11
    • 0041934483 scopus 로고
    • Runge-Kutta-Nyström interpolants for the numerical integration of special second-order periodic initial-value problems
    • Simos T.E. Runge-Kutta-Nyström interpolants for the numerical integration of special second-order periodic initial-value problems. Comput. Math. Appl. 26 (1993) 7-15
    • (1993) Comput. Math. Appl. , vol.26 , pp. 7-15
    • Simos, T.E.1
  • 12
    • 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
    • Simos T.E., and Aguiar J.V. A modified Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems. Computers and Chemistry 25 (2001) 275-281
    • (2001) Computers and Chemistry , vol.25 , pp. 275-281
    • Simos, T.E.1    Aguiar, J.V.2
  • 13
    • 0032023514 scopus 로고    scopus 로고
    • Some modified Runge-Kutta methods for the numerical solution of initial-value problems with oscillating solutions
    • Simos T.E. Some modified Runge-Kutta methods for the numerical solution of initial-value problems with oscillating solutions. J. Scientific Computing 13 (1998) 1
    • (1998) J. Scientific Computing , vol.13 , pp. 1
    • Simos, T.E.1
  • 14
    • 0003997447 scopus 로고    scopus 로고
    • Classical eight and lower-order Runge-Kutta-Nyström formulas with stepsize control for special second-order differential equations
    • R-381, 1972
    • E. Fehlberg, Classical eight and lower-order Runge-Kutta-Nyström formulas with stepsize control for special second-order differential equations, NASA Technical Report, R-381, 1972
    • NASA Technical Report
    • Fehlberg, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.