224 citations · 2.5k across the 74 of their papers we have counts for
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nlin.SI2003★ 73 cited
Symmetries of Discrete Systems
Pavel Winternitz
In this series of lectures presented at the CIMPA Winter School on Discrete Integrable Systems in Pondicherry, India, in February, 2003 we give a review of the application of Lie p…
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…
nlin.SI2003★ 47 cited
Umbral Calculus, Difference Equations and the Discrete Schroedinger Equation
Decio Levi, Piergiulio Tempesta, Pavel Winternitz
We discuss umbral calculus as a method of systematically discretizing linear differential equations while preserving their point symmetries as well as generalized symmetries. The m…