Symbolic derivation of Runge–Kutta–Nyström order conditions

Symbolic derivation of Runge–Kutta–Nyström order conditions

Runge–Kutta–Nyström methods possess a separate theory from the classical Runge–Kutta schemes for the derivation of their order conditions and principal truncation error terms. A new code using the Mathematica programming language properties and tensor products is proved very efficient in this task....

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Veröffentlicht in:Journal of mathematical chemistry 2009-10, Vol.46 (3), p.896-912
Hauptverfasser: Tsitouras, Ch, Famelis, I. Th
Format: Artikel
Sprache:eng
Schlagworte:
Chemistry
Chemistry and Materials Science
Combinatorics
Combinatorics. Ordered structures
Exact sciences and technology
Functional analysis
General and physical chemistry
Graph theory
Math. Applications in Chemistry
Mathematical analysis
Mathematics
Original Paper
Physical Chemistry
Sciences and techniques of general use
Theoretical and Computational Chemistry
Theory of reactions, general kinetics. Catalysis. Nomenclature, chemical documentation, computer chemistry
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Zusammenfassung:Runge–Kutta–Nyström methods possess a separate theory from the classical Runge–Kutta schemes for the derivation of their order conditions and principal truncation error terms. A new code using the Mathematica programming language properties and tensor products is proved very efficient in this task.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-009-9560-2