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Mar 23, 2020 at 8:23 comment added Henrik Schumacher @EricTowers You are basically asking for trouble. My user icon should remind you of that... ;)
May 28, 2019 at 6:25 comment added Eric Towers @user21 : Well, that would be great, but, except for contact symmetries and very specific discrete symmetries, this seems out of reach. Rather, given a user-supplied list of symmetries, minimize deviation from them. Simplest example: isotropic 2-d wave equation on square grids. Rotational symmetry may or may not be important in an application but (except for stupidly short time steps) is not a feature of the discrete solutions. If a user specifies it, perturb the difference equations to minimize violation of that symmetry.
May 28, 2019 at 4:23 comment added user21 I have trouble understanding your suggestion. Could you elaborate a bit on what you mean? Are you suggesting that given a PDE and a mesh the solver should automatically find symmetries and exploit those?
May 27, 2019 at 17:38 history answered Eric Towers CC BY-SA 4.0