66 citations · 304 across the 25 of their papers we have counts for
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math.AP2003★ 32 cited
A heat transfer with a source: the complete set of invariant difference schemes
Vladimir Dorodnitsyn, Roman Kozlov
In this letter we present the set of invariant difference equations and meshes which preserve the Lie group symmetries of the equation u_{t}=(K(u)u_{x})_{x}+Q(u). All special cases…
nlin.SI2003★ 66 cited
Continuous symmetries of Lagrangians and exact solutions of discrete equations
Vladimir Dorodnitsyn, Roman Kozlov, Pavel Winternitz
One of the difficulties encountered when studying physical theories in discrete space-time is that of describing the underlying continuous symmetries (like Lorentz, or Galilei inva…