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The Computer Journal 1976 19(4):344-347; doi:10.1093/comjnl/19.4.344
© 1976 by British Computer Society
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The syntax directed graph algorithm for the input of equations to the Taylor series system for solving ordinary differential equations

I. M. Willers *

Cern Laboratoire 1, Geneve, Switzerland

A new algorithm is described for the automatic generation of code for the Taylor series method of solving ordinary differential equations. The equations are represented by ‘syntax directed graphs’. It is demonstrated that this is a natural development from the classical syntax tree. A compiling algorithm is then described which, when applied to this structure, generates object code which may be used for generating Taylor series by the use of appropriate recurrence relations. Finally this method is compared with the algorithm in Barton, Willers and Zahar, 1971.

Received September 1974.

* Cern Laboratoire 1, 1211 Geneve 23, Switzerland


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