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Many models of physical and chemical processes give rise to or- dinary dierential equations with special structural properties that go unex- ploited by general-purpose software designed to solve numerically a wide range of dierential equations. If those properties are to be exploited fully for the sake of better numerical stability, accuracy and/or speed, the dierential equa- tions may have to be solved by unconventional methods. This short paper is to publish composition constants obtained by the authors to increase eciency of a family of mostly unconventional methods, called reflexive.

Composition constants for raising the orders of unconventional schemes for ordinary differential equations