""We define a class of transformations of the dependent and independent variables in an ordinary difference scheme. The transformations leave the solution set of the system invariant and reduces to a group of contact transformations in the continuous limit. We use a simple example to show that the class is not empty and that such 'contact transformations for discrete systems' genuinely exist""

Levi, D., Scimiterna, C., Thomova, Z., Winternitz, P. (2012). Contact transformations for difference schemes. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 45(2), 022001 [10.1088/1751-8113/45/2/022001].

Contact transformations for difference schemes

LEVI, Decio;SCIMITERNA, CHRISTIAN;
2012-01-01

Abstract

""We define a class of transformations of the dependent and independent variables in an ordinary difference scheme. The transformations leave the solution set of the system invariant and reduces to a group of contact transformations in the continuous limit. We use a simple example to show that the class is not empty and that such 'contact transformations for discrete systems' genuinely exist""
2012
Levi, D., Scimiterna, C., Thomova, Z., Winternitz, P. (2012). Contact transformations for difference schemes. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 45(2), 022001 [10.1088/1751-8113/45/2/022001].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/278552
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