메뉴 건너뛰기




Volumn 159, Issue 2, 2003, Pages 217-239

Exponential fitted Runge-Kutta methods of collocation type: Fixed or variable knot points?

Author keywords

Exponential fitting; Oscillating differential equations; Runge Kutta methods

Indexed keywords

COMPUTATIONAL METHODS;

EID: 0141527547     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00450-3     Document Type: Article
Times cited : (53)

References (21)
  • 1
    • 0039179844 scopus 로고
    • The extension of the theory of A-methods to RK methods
    • K. Strehmel (Ed.), Proceedings of the 4th Seminar NUMDIFF-4, Tuebner-Texte zur Mathematik, Tuebner, Leipzig
    • P. Albrecht, The extension of the theory of A-methods to RK methods, in: K. Strehmel (Ed.), Numerical Treatment of Differential Equations, Proceedings of the 4th Seminar NUMDIFF-4, Tuebner-Texte zur Mathematik, Tuebner, Leipzig, 1987, pp. 8-18.
    • (1987) Numerical Treatment of Differential Equations , pp. 8-18
    • Albrecht, P.1
  • 2
    • 0023329035 scopus 로고
    • A new theoretical approach to RK methods
    • Albrecht P. 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
  • 3
    • 0034274825 scopus 로고    scopus 로고
    • An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems
    • Avdelas G. Simos T.E. Vigo-Aguiar J. An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems Comput. Phys. Comm. 131 2000 52-67
    • (2000) Comput. Phys. Comm. , vol.131 , pp. 52-67
    • Avdelas, G.1    Simos, T.E.2    Vigo-Aguiar, J.3
  • 8
    • 0031237961 scopus 로고    scopus 로고
    • Operations on oscillatory functions
    • Ixaru L.Gr. Operations on oscillatory functions Comput. Phys. Comm. 105 1997 1-19
    • (1997) Comput. Phys. Comm. , vol.105 , pp. 1-19
    • Ixaru, L.Gr.1
  • 9
    • 0035155841 scopus 로고    scopus 로고
    • A Gauss quadrature rule for oscillatory integrands
    • Ixaru L.Gr. Paternoster B. A Gauss quadrature rule for oscillatory integrands Comput. Phys. Comm. 133 2001 177-188
    • (2001) Comput. Phys. Comm. , vol.133 , pp. 177-188
    • Ixaru, L.Gr.1    Paternoster, B.2
  • 11
    • 0002966890 scopus 로고    scopus 로고
    • A four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems
    • Ozawa K. A four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems Jpn J. Ind. Appl. Math. 16 1999 25-45
    • (1999) Jpn J. Ind. Appl. Math. , vol.16 , pp. 25-45
    • Ozawa, K.1
  • 12
    • 0032183736 scopus 로고    scopus 로고
    • Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based in trigonometric polynomials
    • Paternoster B. Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based in trigonometric polynomials Appl. Num. Math. 28 1998 401-412
    • (1998) Appl. Num. Math. , vol.28 , pp. 401-412
    • Paternoster, B.1
  • 13
    • 0032300656 scopus 로고    scopus 로고
    • An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
    • Simos T.E. 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
  • 14
    • 0001190986 scopus 로고    scopus 로고
    • New embedded explicit methods with minimal phase-lag for the numerical integration of the Schrödinger equation
    • Simos T.E. New embedded explicit methods with minimal phase-lag for the numerical integration of the Schrödinger equation Comput. Chem. 22 1998 433-440
    • (1998) Comput. Chem. , vol.22 , pp. 433-440
    • Simos, T.E.1
  • 15
    • 0039065106 scopus 로고    scopus 로고
    • Some embedded modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations
    • Simos T.E. Some embedded modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations J. Math. Chem. 24 1998 23-37
    • (1998) J. Math. Chem. , vol.24 , pp. 23-37
    • Simos, T.E.1
  • 18
    • 0035396968 scopus 로고    scopus 로고
    • Frequency determination and step-length control for exponentially- fitted Runge-Kutta methods
    • Vanden Berghe G. Ixaru L.Gr. De Meyer H. Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods J. Comput. Appl. Math. 132 2001 95-105
    • (2001) J. Comput. Appl. Math. , vol.132 , pp. 95-105
    • Vanden Berghe, G.1    Ixaru, L.Gr.2    De Meyer, H.3
  • 19
    • 0023366337 scopus 로고
    • Explicit Runge-Kutta(-Nyström) methods with reduced phase errors for computing oscillating solution
    • van der Houwen P.J. Sommeijer B.P. Explicit Runge-Kutta(-Nyström) methods with reduced phase errors for computing oscillating solution 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
  • 21
    • 0022882168 scopus 로고
    • On the numerical integration of second order initial value problems with a periodic forcing force
    • van der Houwen P.J. Sommeijer B.P. Strehmel K. Weiner R. On the numerical integration of second order initial value problems with a periodic forcing force Computing 37 1986 195-218
    • (1986) Computing , vol.37 , pp. 195-218
    • van der Houwen, P.J.1    Sommeijer, B.P.2    Strehmel, K.3    Weiner, R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.