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Volumn 24, Issue 2-3, 1997, Pages 343-350

A generalization of singly-implicit Runge-Kutta methods

Author keywords

Effective order; Runge Kutta methods; Singly implicit methods

Indexed keywords

CONSTRAINT THEORY; ERRORS; ESTIMATION; NUMERICAL METHODS;

EID: 0031211262     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00031-7     Document Type: Article
Times cited : (25)

References (14)
  • 1
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    • 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
  • 2
    • 0000366955 scopus 로고
    • An implementation of singly-implicit Runge-Kutta methods
    • K. Burrage, J.C. Butcher and F.H. Chipman, An implementation of singly-implicit Runge-Kutta methods, BIT 20 (1980) 326-340.
    • (1980) BIT , vol.20 , pp. 326-340
    • Burrage, K.1    Butcher, J.C.2    Chipman, F.H.3
  • 3
    • 0003019535 scopus 로고
    • The effective order of Runge-Kutta methods
    • Proceedings of Conference on the Numerical Solution of Differential Equations
    • J.C. Butcher, The effective order of Runge-Kutta methods, in: Proceedings of Conference on the Numerical Solution of Differential Equations, Lecture Notes in Mathematics 109 (1969) 133-139.
    • (1969) Lecture Notes in Mathematics , vol.109 , pp. 133-139
    • Butcher, J.C.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 6 (1976) 237-240.
    • (1976) BIT , vol.6 , pp. 237-240
    • Butcher, J.C.1
  • 5
    • 0018533979 scopus 로고
    • A transformed implicit Runge-Kutta method
    • J.C. Butcher, A transformed implicit Runge-Kutta method, J. ACM 26 (1979) 731-738.
    • (1979) J. ACM , vol.26 , pp. 731-738
    • Butcher, J.C.1
  • 7
    • 0023982823 scopus 로고
    • Towards efficient implementation of singly-implicit methods
    • J.C. Butcher, Towards efficient implementation of singly-implicit methods, ACM Trans. Math. Software 14 (1988) 68-75.
    • (1988) ACM Trans. Math. Software , vol.14 , pp. 68-75
    • Butcher, J.C.1
  • 8
    • 0025448875 scopus 로고
    • Towards efficient Runge-Kutta methods for stiff systems
    • J.C. Butcher and J. Cash, Towards efficient Runge-Kutta methods for stiff systems, SIAM J. Numer. Anal. 27 (1990) 753-761.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 753-761
    • Butcher, J.C.1    Cash, J.2
  • 12
    • 7544232274 scopus 로고
    • Rosenbrock-type methods
    • G. Dahlquist and R. Jeltsch, eds., Inst, für Geometrie und Praktische Mathematik der RWTH Aachen, Germany
    • P. Kaps, Rosenbrock-type methods, in: G. Dahlquist and R. Jeltsch, eds., Numerical Methods for Stiff Initial Value Problems (Inst, für Geometrie und Praktische Mathematik der RWTH Aachen, Germany, 1981).
    • (1981) Numerical Methods for Stiff Initial Value Problems
    • Kaps, P.1
  • 13
    • 0015125415 scopus 로고
    • Local estimation of the global discretization error
    • H.J. Stetter, Local estimation of the global discretization error, SIAM J. Numer. Anal. 8 (1971) 512-523.
    • (1971) SIAM J. Numer. Anal. , vol.8 , pp. 512-523
    • Stetter, H.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.