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Volumn 66, Issue 1-2, 1996, Pages 227-238

Improving the efficiency of the iterative schemes for implicit Runge-Kutta methods

Author keywords

Implicit methods; Iteration schemes; Runge Kutta; Stiff

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS;

EID: 0029724371     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00184-0     Document Type: Article
Times cited : (5)

References (13)
  • 1
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    • R. Alexander, Diagonally implicit Runge-Kutta methods for stiff O.D.E.'s, SIAM J. Numer. Anal. 14 (1977) 1006-1021.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 1006-1021
    • Alexander, R.1
  • 2
    • 0012189284 scopus 로고
    • An efficient solution process for implicit Runge-Kutta methods
    • T.A. Bickart, 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
  • 3
    • 0002612111 scopus 로고
    • A special family of Runge-Kutta methods for solving stiff differential equations
    • K. Burrage, A special family of Runge-Kutta methods for solving stiff differential equations, BIT 18 (1978) 22-41.
    • (1978) BIT , vol.18 , pp. 22-41
    • Burrage, K.1
  • 4
    • 0000194464 scopus 로고
    • On the implementation of implicit Runge-Kutta methods
    • J.C. Butcher, 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
    • 0041580047 scopus 로고
    • Some implementation schemes for implicit Runge-Kutta methods
    • G.A. Watson, Ed., Proc. Dundee Conf. on Numerical Analysis, 1979, Springer, New York
    • J.C. Butcher, Some implementation schemes for implicit Runge-Kutta methods, in: G.A. Watson, Ed., Proc. Dundee Conf. on Numerical Analysis, 1979, Lecture Notes in Mathematics 773 (Springer, New York, 1980) 12-24.
    • (1980) Lecture Notes in Mathematics , vol.773 , pp. 12-24
    • Butcher, J.C.1
  • 6
    • 0012149379 scopus 로고
    • An iteration Scheme for implicit Runge-Kutta Methods
    • C.J. Cooper and J.C. Butcher, An iteration Scheme for implicit Runge-Kutta Methods, IMA J. Numer. Anal. 3 (1983) 127-140.
    • (1983) IMA J. Numer. Anal. , vol.3 , pp. 127-140
    • Cooper, C.J.1    Butcher, J.C.2
  • 7
    • 0025546535 scopus 로고
    • A scheme for the implementation of implicit Runge-Kutta methods
    • C.J. Cooper and R. Vignesvaran, A scheme for the implementation of implicit Runge-Kutta methods, Computing 45 (1990) 321-332.
    • (1990) Computing , vol.45 , pp. 321-332
    • Cooper, C.J.1    Vignesvaran, R.2
  • 8
    • 0043082891 scopus 로고
    • Some schemes for the implementation of implicit Runge-Kutta methods
    • C.J. Cooper and R. Vignesvaran, Some schemes for the implementation of implicit Runge-Kutta methods, J. Comput. Appl. Math. 45 (1993) 213-225.
    • (1993) J. Comput. Appl. Math. , vol.45 , pp. 213-225
    • Cooper, C.J.1    Vignesvaran, R.2
  • 9
    • 0022784120 scopus 로고
    • Two FORTRAN packages for assessing initial value methods
    • W.H. Enright and J.D. Pryce, Two FORTRAN packages for assessing initial value methods, ACM Trans. Math. Software 12 (3) (1986) 193-218.
    • (1986) ACM Trans. Math. Software , vol.12 , Issue.3 , pp. 193-218
    • Enright, W.H.1    Pryce, J.D.2
  • 11
    • 0000287695 scopus 로고
    • Iterative schemes for three-stage implicit Runge-Kutta methods
    • S. González-Pinto, J.I. Montijano and L. Rández, Iterative schemes for three-stage implicit Runge-Kutta methods, Appl. Numer. Math. 17 (4) (1995) 363-382.
    • (1995) Appl. Numer. Math. , vol.17 , Issue.4 , pp. 363-382
    • González-Pinto, S.1    Montijano, J.I.2    Rández, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.