November 2 Math Colloquium

by Pavel Winternitz, University of Montreal

Continuous symmetries of difference equations and symmetry preserving discretization of differential equations

We show how one can approximate an Ordinary Differential Equation by a Difference System that has the same Lie point symmetry group as the original ODE. Such a discretization has many advantages over standard discretizations. In particular it provides numerical solutions that are qualitatively better, specially in the neighborhood of singularities. 

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