Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Levi, D., Martina, L., Winternitz, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147153
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests / D. Levi, L. Martina, P. Winternitz // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 42 назв. — англ.

The main purpose of this article is to show how symmetry structures in partial differential equations can be preserved in a discrete world and reflected in difference schemes. Three different structure preserving discretizations of the Liouville equation are presented and then used to solve specific...