On the order of general linear methods

Applied Mathematics Letters

Volumn 22, Issue 9, 2009, Pages 1425-1428

  Constantinescu, Emil M ^a  

^a ARGONNE NATIONAL LABORATORY   (United States)

Author keywords

General linear methods; Order conditions; Ordinary differential equations

Indexed keywords

ALGEBRAIC ORDER; GENERAL LINEAR METHODS; INTERMEDIATE COMPONENTS; LOW ORDER; MATRIX; NUMERICAL ALGORITHMS; ORDER ANALYSIS; ORDER CONDITIONS;

NUMERICAL METHODS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 67349215785     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2008.12.005     Document Type: Article

References (6)

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3. Burrage K., and Butcher J.C. Non-linear stability of a general class of differential equation methods. BIT 20 2 (1980) 185-203 10.1007/BF01933191
4. Butcher J.C. An algebraic theory of integration methods. Mathematics of Computation 26 117 (1972) 79-106
5. Hairer E., and Wanner G. On the Butcher group and general multi-value methods. Computing 13 1 (1974) 1-15 10.1007/BF02268387
6. Butcher J.C. General linear methods. Acta Numerica 15 (2006) 157-256 10.1017/S0962492906220014