Two ideas are combined to construct a hybrid symbolic-numeric differential-elimination method for identifying and including missing constraints arising in differential systems. First we exploit the fact that a system once differentiated becomes linear in its highest derivatives. Then we apply diagonal homotopies to incrementally process new constraints, one… (More)

A Point symmetry group of a differential equation which cannot be found using infinitesimal methods. In Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics

G. J. Reid, D. T. Weih, A. D. Wittkopf

Kluwer, Dordrecht,

1993

Highly Influential

7 Excerpts

An exploration of homotopy solving in Maple

K. Hazaveh, D. J. Jeffrey, G. J. Reid, S. M. Watt, A. D. Wittkopf