The effective order of singly-implicit Runge-Kutta methods

Numerical Algorithms

Volumn 20, Issue 4, 1999, Pages 269-284

  Butcher, J C ^a   Chartier, P ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22644451772     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019176422613     Document Type: Article

References (16)

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12. E. Hairer, S.P. Nørsett and G. Wanner, Solving Ordinary Differential Equations I, Nonstiff Problems, 2nd revised ed. (Springer, Berlin, 1991).
13. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems (Springer, Berlin, 1987).
14. H.J. Stetter, Local estimation of the global discretization error, SIAM J. Numer. Anal. 8 (1971) 512-523.
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16. M.A. López-Marcos, J.M. Sanz-Serna and R.D. Skeel, Cheap enhancement of symplectic integrators, in: Numerical Analysis 1995, Pitman Research Notes in Mathematics Series, Vol. 344 (Longman Sci. Tech., Harlow, 1996) pp. 107-122.