Session B3 - Symbolic Analysis
July 14, 16:00 ~ 16:25
Symbolic computation for preserving conservation laws
University of Kent, UK - G.Frasca-Caccia@kent.ac.uk
The main goal of the field of investigation known as Geometric Integration is to reproduce, in the discrete setting, a number of geometric properties shared by the original continuous problem. Conservation laws are among a PDE’s most fundamental geometric properties. In this talk a new strategy, which uses symbolic computation and is based on the fact that conservation laws are in the kernel of the Euler operator, is used to develop new methods that preserve multiple discrete conservation laws. The new schemes are numerically compared with some other schemes existing in literature.
Joint work with Peter Hydon (University of Kent, UK).