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most citedContinuous symmetries of Lagrangians and exact solutions of discrete equations

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…