The tree and forest spaces with applications to initial-value problem methods

BIT Numerical Mathematics

Volumn 50, Issue 4, 2010, Pages 713-728

  Butcher, J C ^a   Chan, T M H ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b NATIONAL TAICHUNG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Banach algebra; High derivative operators; The forest space; The Picard integral; The tree space

Indexed keywords

EID: 78649687376     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-010-0279-z     Document Type: Article

References (5)

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2. Butcher, J. C.: The Numerical Methods for Ordinary Differential Equations, 2nd edn. Wiley, New York (2008).
3. Butcher, J. C., Chan, T. M. H.: Variable stepsize schemes for effective order methods and enhanced order composition methods. Numer. Algorithms 26, 131-150 (2001).
4. Gear, C. W.: Runge-Kutta starters for multistep methods. ACM Trans. Math. Softw. 6, 263-279 (1980).
5. Hairer, E., Wanner, G.: On the Butcher group and general multi-value methods. Computing 13, 1-15 (1974).