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Volumn 41, Issue 7-8, 2001, Pages 1009-1024

Implementation of high-order implicit Runge-Kutta methods

Author keywords

[No Author keywords available]

Indexed keywords

INITIAL VALUE PROBLEMS; ITERATIVE METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SET THEORY;

EID: 17144474703     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00335-7     Document Type: Article
Times cited : (14)

References (16)
  • 4
    • 0000194464 scopus 로고
    • On the implementation of implicit Runge-Kutta methods
    • Butcher J.C. On the implementation of implicit Runge-Kutta methods. BIT. 16:1976;237-240.
    • (1976) BIT , vol.16 , pp. 237-240
    • Butcher, J.C.1
  • 5
    • 0012189284 scopus 로고
    • An efficient solution process for implicit Runge-Kutta methods
    • Bickart T.A. An efficient solution process for implicit Runge-Kutta methods. SIAM J. Numer. Anal. 14:1977;1022-1027.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 1022-1027
    • Bickart, T.A.1
  • 6
    • 0012149379 scopus 로고
    • An iteration scheme for implicit Runge-Kutta methods
    • Cooper G.J., Butcher J.C. An iteration scheme for implicit Runge-Kutta methods. IMA J. Num. Anal. 3:1983;127-140.
    • (1983) IMA J. Num. Anal. , vol.3 , pp. 127-140
    • Cooper, G.J.1    Butcher, J.C.2
  • 7
    • 0025546535 scopus 로고
    • A scheme for the implementation of implicit Runge-Kutta methods
    • Cooper G.J., Vignesvaran R. A scheme for the implementation of implicit Runge-Kutta methods. Computing. 45:1990;321-332.
    • (1990) Computing , vol.45 , pp. 321-332
    • Cooper, G.J.1    Vignesvaran, R.2
  • 9
    • 0031232991 scopus 로고    scopus 로고
    • On the numerical solution of stiff IVPs by Lobatto IIIA Runge-Kutta methods
    • González-Pinto S., Pérez S., Montijano J.I. On the numerical solution of stiff IVPs by Lobatto IIIA Runge-Kutta methods. J. Comput. Appl. Math. 82:1997;129-148.
    • (1997) J. Comput. Appl. Math , vol.82 , pp. 129-148
    • González-Pinto, S.1    Pérez, S.2    Montijano, J.I.3
  • 10
    • 85031531709 scopus 로고    scopus 로고
    • On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods
    • (submitted)
    • Calvo M., González-Pinto S., Montijano J.I. On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods. Numerical Algirthms. 1998;. (submitted).
    • (1998) Numerical Algirthms
    • Calvo, M.1    González-Pinto, S.2    Montijano, J.I.3
  • 13
    • 0004026166 scopus 로고
    • Second Edition Providence, Ri: American Mathematical Society
    • Marden M. Second Edition Geometry of Polynomials. 1966;American Mathematical Society, Providence, Ri.
    • (1966) Geometry of Polynomials
    • Marden, M.1
  • 15
    • 0023312263 scopus 로고
    • Two Fortran packages for assessing initial value methods
    • Enright W.H., Pryce J.D. Two Fortran packages for assessing initial value methods. ACM Trans. Math. Software. 1:((13)):1987;1-27.
    • (1987) ACM Trans. Math. Software , vol.1 , pp. 1-27
    • Enright, W.H.1    Pryce, J.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.