Published July 26, 2013
| Version v1
Journal article
Construction of partial difference schemes: I. The Clairaut, Schwarz, Young theorem on the lattice
Creators
- 1. Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre and INFN Sezione di Roma Tre, Via della Vasca Navale 84, I-00146 Roma (Italy)
- 2. Departamento de Física Teórica II, Facultad de Físicas, Universidad Complutense, E-28040 Madrid (Spain)
Description
Difference operators in several variables do not always commute. Their commutation depends on the lattice equations. In this paper, we study the conditions over a lattice to allow commutativity of these difference operators and their implications for the discretization of partial differential equations. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/46/29/295203Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 46
- Journal Issue
- 29
- Journal Page Range
- [19 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 44077516
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COMMUTATION RELATIONS; LATTICE FIELD THEORY; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; YOUNG MODEL
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; QUANTUM FIELD THEORY