ARK methods up to order five

Numerical Algorithms

Volumn 17, Issue 3-4, 1998, Pages 193-221

  Butcher, J C ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032371086     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1016640625396     Document Type: Article

References (7)

1. J.C. Butcher, An algebraic theory of integration methods, Math. Comp. 26 (1972) 79-106.
2. J.C. Butcher, The order of numerical methods for ordinary differential equations, Math. Comp. 27 (1973) 793-806.
3. J.C. Butcher, The Numerical Analysis of Ordinary Differential Equations - Runge-Kutta and General Linear Methods (Wiley, Chichester, UK, 1987).
4. J.C. Butcher, An introduction to "Almost Runge-Kutta methods", Appl. Numer. Math. 24 (1997) 331-342.
5. J.R. Dormand and P.J. Prince, A family of embedded Runge-Kutta formulae, J. Comput. Appl. Math. 6 (1980) 19-26.
6. E. Hairer and G. Wanner, On the Butcher group and general multi-value methods, Computing 13 (1974) 1-15.
7. W. Kutta, Beitrag zur näherungsweisen Integration totaler Differentialgleichungen, Z. Math. Phys. 46 (1901) 435-453.