Order conditions and symmetry for two-step hybrid methods

International Journal of Computer Mathematics

Volumn 81, Issue 12, 2004, Pages 1519-1536

  Chan, R P K ^a   Leone, P ^a,b   Tsai, A ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b GENEVA UNIVERSITY HOSPITALS   (Switzerland)

Author keywords

Order conditions; Second order differential equation; Symmetry; Two step hybrid methods

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; INTEGRATION; PROBLEM SOLVING;

ORDER CONDITIONS; SECOND-ORDER DIFFERENTIAL EQUATIONS; SYMMETRY; TWO-STEP HYBRID METHODS;

COMPUTATIONAL METHODS;

EID: 28244457844     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/03057920412331272180     Document Type: Article

References (4)

1. Hairer, E., Lubich, C. and Wanner, G. (2002). Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations. Springer Series in Computational Mathematics.
2. Murua, A. and Sanz-Serna, J. M. (1999). Order conditions for numerical integrators obtained by composing simpler integrators. Philos. Trans. Royal Soc. London, Ser. A, 357, 1079-1100.
3. Tsitouras, Ch. (2002). Explicit two-step methods for second-order linear initial value problems. Int. J. Comp. Math. Appl., 43, 943-949.
4. Chan, R. P. K. (2002). Two-step hybrid methods. Internal Publication.