%0 Journal Article
%T Symmetry Preserving Numerical Schemes for Partial Differential Equations and their Numerical Tests
%A Rapha£żl Rebelo
%A Francis Valiquette
%J Mathematics
%D 2011
%I arXiv
%X The method of equivariant moving frames on multi-space is used to construct symmetry preserving finite difference schemes of partial differential equations invariant under finite-dimensional symmetry groups. Invariant numerical schemes for a heat equation with a logarithmic source and the spherical Burgers equation are obtained. Numerical tests show how invariant schemes can be more accurate than standard discretizations on uniform rectangular meshes.
%U http://arxiv.org/abs/1110.5921v1