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20032025
most citedContinuous symmetries of Lagrangians and exact solutions of discrete equations

66 citations · 233 across the 22 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…