메뉴 건너뛰기




Volumn 19, Issue 1, 2002, Pages 55-85

A Functional Fitting Runge-Kutta-Nyström Method with Variable Coefficients

Author keywords

Collocation; Functional fitting; Order of accuracy; Runge Kutta Nystr m; Variable coefficients

Indexed keywords


EID: 0347968265     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167448     Document Type: Article
Times cited : (13)

References (15)
  • 1
    • 0019692043 scopus 로고
    • A note on the exponential fitting of blended, extended linear multistep methods
    • J.R. Cash, A note on the exponential fitting of blended, extended linear multistep methods. BIT, 21 (1981), 450-453.
    • (1981) BIT , vol.21 , pp. 450-453
    • Cash, J.R.1
  • 2
    • 0039982436 scopus 로고    scopus 로고
    • Mixed interpolation methods with arbitrary nodes
    • J.P. Coleman, Mixed interpolation methods with arbitrary nodes. J. Comput. Appl. Math., 92 (1998), 69-83.
    • (1998) J. Comput. Appl. Math. , vol.92 , pp. 69-83
    • Coleman, J.P.1
  • 3
    • 0034512338 scopus 로고    scopus 로고
    • Mixed collocation methods for y″ = f(x,y)
    • J.P. Coleman and S.C. Duxbury, Mixed collocation methods for y″ = f(x,y). J. Comput. Appl. Math., 126 (2000), 47-75.
    • (2000) J. Comput. Appl. Math. , vol.126 , pp. 47-75
    • Coleman, J.P.1    Duxbury, S.C.2
  • 4
    • 0000132696 scopus 로고
    • Numerical integration of ordinary differential equations based on trigonometric polynomials
    • W. Gautschi, Numerical integration of ordinary differential equations based on trigonometric polynomials. Numer. Math., 3 (1961), 381-397.
    • (1961) Numer. Math. , vol.3 , pp. 381-397
    • Gautschi, W.1
  • 7
    • 0002966890 scopus 로고    scopus 로고
    • A Four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems
    • K. Ozawa, A Four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems. Japan J. Indust. Appl. Math., 16 (1999), 25-46.
    • (1999) Japan J. Indust. Appl. Math. , vol.16 , pp. 25-46
    • Ozawa, K.1
  • 8
    • 0005703792 scopus 로고    scopus 로고
    • Functional fitting Runge-Kutta method with variable coefficients
    • K. Ozawa, Functional fitting Runge-Kutta method with variable coefficients. Japan J. Indust. Appl. Math., 18 (2001), 105-128.
    • (2001) Japan J. Indust. Appl. Math. , vol.18 , pp. 105-128
    • Ozawa, K.1
  • 9
    • 0032183736 scopus 로고    scopus 로고
    • Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
    • B. Paternoster, Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Appl. Numer. Math., 28 (1998), 401-412.
    • (1998) Appl. Numer. Math. , vol.28 , pp. 401-412
    • Paternoster, B.1
  • 10
    • 0000926830 scopus 로고
    • A four-step phase-fitted method for the numerical integration of second order initial-value problems
    • A.D. Raptis and T.E. Simos, A four-step phase-fitted method for the numerical integration of second order initial-value problems. BIT, 31 (1991), 160-168.
    • (1991) BIT , vol.31 , pp. 160-168
    • Raptis, A.D.1    Simos, T.E.2
  • 11
    • 30244570721 scopus 로고
    • Some new four-step exponential-fitting methods for the numerical solution of the radial Schrödinger equation
    • T.E. Simos, Some new four-step exponential-fitting methods for the numerical solution of the radial Schrödinger equation. IMA J. Numer. Anal., 11 (1991), 347-356.
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 347-356
    • Simos, T.E.1
  • 12
    • 33645269140 scopus 로고
    • Stabilization of Cowell's method
    • E. Stiefel and D.G. Bettis, Stabilization of Cowell's method. Numer. Math., 13 (1969), 154-175.
    • (1969) Numer. Math. , vol.13 , pp. 154-175
    • Stiefel, E.1    Bettis, D.G.2
  • 13
    • 0001606109 scopus 로고
    • Stability of collocation-based Runge-Kutta-Nyström methods
    • P.J. Van der Houwen, B.P. Sommeijer and N.H. Cong, Stability of collocation-based Runge-Kutta-Nyström methods. BIT, 31 (1991), 469-481.
    • (1991) BIT , vol.31 , pp. 469-481
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2    Cong, N.H.3
  • 15
    • 0002715274 scopus 로고
    • Multistep methods for ordinary differential equations based on algebraic and first order trigonometric polynomials
    • eds. J.R. Cash and I. Gladwell
    • J. Vanthournout, H. De Meyer and G. Vanden Berghe, Multistep methods for ordinary differential equations based on algebraic and first order trigonometric polynomials. Computational Ordinary Differential Equations (eds. J.R. Cash and I. Gladwell), 1992, 61-71.
    • (1992) Computational Ordinary Differential Equations , pp. 61-71
    • Vanthournout, J.1    De Meyer, H.2    Vanden Berghe, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.