Order conditions for Two-Step Runge-Kutta methods

Applied Numerical Mathematics

Volumn 24, Issue 2-3, 1997, Pages 351-364

  Butcher, J C ^a   Tracogna, S ^b,c  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b ARIZONA STATE UNIVERSITY   (United States)

^c LEIDEN UNIVERSITY   (Netherlands)

Author keywords

Algebraic criteria for order; General linear methods; Order conditions; Two Step Runge Kutta methods

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; FUNCTIONS; MATHEMATICAL TECHNIQUES;

GENERAL LINEAR METHODS; ORDER CONDITIONS; TWO STEP RUNGE-KUTTA METHODS;

NUMERICAL METHODS;

EID: 0031212298     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00032-9     Document Type: Article

References (6)

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2. P. Albrecht, The Runge-Kutta theory in a nutshell, SIAM J. Numer. Anal. 33 (5) (1996) 1712-1735.
3. J.C. Butcher, The Numerical Analysis of Ordinary Differential Equations. Runge-Kutta and General Linear Methods (Wiley, New York, 1987).
4. E. Hairer, S.P. Nørsett and G. Wanner, Solving Ordinary Differential Equations I. Nonstiff Problems, Springer Series in Computational Mathematics 8 (Springer, Berlin, 1987; 1993).
5. E. Hairer and G. Wanner, Order conditions for general Two-Step Runge-Kutta methods, Preprint (1996).
6. Z. Jackiewicz and S. Tracogna, A general class of Two-Step Runge-Kutta methods for ordinary differential equations, SIAM J. Numer. Anal. 32 (5) (1995) 1390-1427.