Published January 20, 2012
| Version v1
Journal article
Contact transformations for difference schemes
- 1. Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre and Sezione INFN Roma Tre, Via della Vasca Navale, 84, 00146 Roma (Italy)
- 2. Dipartimento di Fisica and Ingegneria Elettronica, Università degli Studi Roma Tre and Sezione INFN Roma Tre, Via della Vasca Navale, 84, 00146 Roma (Italy)
- 3. Department of Engineering, Sciences and Mathematics, SUNY Institute of Technology, 100 Seymour Road, Utica, NY 13502 (United States)
- 4. Centre de Recherches Mathématiques and Département de Mathématiques et de Statistique, Université de Montréal, Case postale 6128, succ. Centre-ville, Montréal, Québec H3C 3J7 (Canada)
Description
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. (fast track communication)
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/45/2/022001Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 45
- Journal Issue
- 2
- Journal Page Range
- [9 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 43092237
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- GROUP THEORY; MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; SET THEORY; TRANSFORMATIONS
- Descriptors DEC
- MATHEMATICS