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Volumn 18, Issue 1, 2001, Pages 107-130

A Functional Fitting Runge-Kutta Method with Variable Coefficients

Author keywords

Collocation Runge Kutta method; Embedded Runge Kutta method; Functional fitting; Order of accuracy; Variable coefficients

Indexed keywords


EID: 0005703792     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167357     Document Type: Article
Times cited : (49)

References (13)
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    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 179-199
    • Coleman, J.P.1
  • 4
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    • 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
  • 8
    • 0346184346 scopus 로고
    • Variable coefficient A-stable explicit Runge-Kutta methods
    • M. Nakashima, Variable coefficient A-stable explicit Runge-Kutta methods. Japan J. Indust. Appl. Math., 12 (1995), 285-308.
    • (1995) Japan J. Indust. Appl. Math. , vol.12 , pp. 285-308
    • Nakashima, M.1
  • 9
    • 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
  • 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
    • 0030103209 scopus 로고    scopus 로고
    • A family of Numerov type exponential fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation
    • R.M. Thomas, T.E. Simos and G.V. Mitsou, A family of Numerov type exponential fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation. J. Comput. Appl. Math., 67 (1996), 255-270.
    • (1996) J. Comput. Appl. Math. , vol.67 , pp. 255-270
    • Thomas, R.M.1    Simos, T.E.2    Mitsou, G.V.3
  • 13
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    • Families of backward differentiation methods based on a new type of mixed interpolation
    • J. Vanthournout, G. Vanden Berghe and H. De Meyer, Families of backward differentiation methods based on a new type of mixed interpolation. Comput. Math. Appl., 20 (1990), 19-30.
    • (1990) Comput. Math. Appl. , vol.20 , pp. 19-30
    • Vanthournout, J.1    Vanden Berghe, G.2    De Meyer, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.