116 citations · 762 across the 46 of their papers we have counts for
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math-ph2013
Lie groups and numerical solutions of differential equations: Invariant discretization versus differential approximation
Decio Levi, Pavel Winternitz
We briefly review two different methods of applying Lie group theory in the numerical solution of ordinary differential equations. On specific examples we show how the symmetry pre…
math-ph2013
Linearization through symmetries for discrete equations
Decio Levi, Christian Scimiterna
We show that one can define through the symmetry approach a procedure to check the linearizability of a difference equation via a point or a discrete Cole-Hopf transformation. If t…